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SPIRES-BOOKS: FIND KEYWORD ELECTRIC ENGINEERING MATHEMATICS *END*INIT* use /tmp/qspiwww.webspi1/30567.100 QRY 131.225.70.96 . find keyword electric engineering mathematics ( in books using www Cover Image
Call number:TK7872.M25I33::2004 Show nearby items on shelf
Title:Engineering electromagnetics
Author(s): Nathan Ida
Date:2004
Edition:2nd ed.
Publisher:New York : Springer
Size:1235 p
Contents:Vector algebra -- Vector calculus -- Coulomb's law and the electric field -- Gauss's law and the electric potential -- Boundary value problems : analytic methods of solution -- Boundary value problems : numerical (approximate) methods -- The steady electric current -- The static magnetic field -- Magnetic materials and properties -- Faraday's law and induction -- Maxwell's equations -- Electromagnetic waves and propagation -- Reflection and transmission of plane waves -- Theory of transmission lines -- The Smith chart, impedance matching, and transmission line circuits -- Transients on transmission lines -- Waveguides and resonators
ISBN:0387201564
Keywords: Electromagnetic devices, Mathematical models. , Electromagnetism, Mathematics. , Electromagnetic devices, Mathematical models. , Electromagnetism, Mathematics.
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Call number:TK153.S55::1990 Show nearby items on shelf
Title:Finite elements for electrical engineers
Author(s): Peter P. Silvester
R.L. Ferrari
Date:1990
Edition:2nd ed.
Publisher:Cambridge University Press, Cambridge [England
Size:344
Keywords: Electric engineering Mathematics.
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Call number:TK153.D68::1993 Show nearby items on shelf
Title:Pocket book of electrical engineering formulas
Author(s): Richard C. Dorf
Ronald J. Tallarida
Date:1993
Publisher:CRC Press, Boca Raton
Size:202
ISBN:0849344735
Keywords: Electric engineering Mathematics
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Call number:SPRINGER-2016-9783319303994:ONLINE Show nearby items on shelf
Title:Scientific Computing in Electrical Engineering SCEE 2014, Wuppertal, Germany, July 2014
Author(s):
Date:2016
Size:1 online resource (67 p.)
Note:10.1007/978-3-319-30399-4
Contents:Part I Device Modelling, Electric Circuits and Simulation -- Part II Computational Electromagnetics -- Part III Coupled Problems -- Part IV Model Order Reduction -- Part V Uncertainty Quantification
ISBN:9783319303994
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematics in Industry: 23
Keywords: Mathematics , Computer simulation , Computer-aided engineering , Computer mathematics , Mathematical models , Physics , Applied mathematics , Engineering mathematics , Mathematics , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering , Appl.Mathematics/Computational Methods of Engineering , Computer-Aided Engineering (CAD, CAE) and Design , Simulation and Modeling , Numerical and Computational Physics
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Call number:SPRINGER-2014-9789400702028:ONLINE Show nearby items on shelf
Title:Mathematical Models for Eddy Currents and Magnetostatics [electronic resource] : With Selected Applications
Author(s): Rachid Touzani
Jacques Rappaz
Date:2014
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:This monograph addresses fundamental aspects of mathematical modeling and numerical solution methods of electromagnetic problems involving low frequencies, i.e. magnetostatic and eddy current problems which are rarely presented inthe applied mathemat ics literature. In the first part, the authors introduce the mathematical models in a realistic context in view of their use for industrial applications. Several geometric configurations of electric conductorsleading to different mathematical models are c arefully derived and analyzed, and numerical methods for the solution of the obtained problems are given. Related issues such as convergence of the approximations and error estimates arediscussed. The second part of the monograph presents various coupled problems that involve eddy current or magnetostatic problems, in particular magneto-hydrodynamic problems and magnetic shaping problems concerning the melt flow ofelectrically conducting metals, induction heating processes, inductively coupled plasmas and ferromagnetic screening modeling. The presentation of each model comes with numerical illustration from industrial applications
Contents:Part I Eddy Current Models
Mathematical framework
Introduction
Preliminaries
The Three
Dimensional Case
The Two
Dimensional Case
Maxwell and eddy current equations
Introduction
Maxwell equations
Low frequency approximation
Static cases
Time{Harmonic Regime
Eddy Current Equations
Two
dimensional models
Introduction
A solenoidal two
dimensional model
A transversal model
Three
dimensional models
A current density formulation
A magnetic field formulation
An electric field model
Axisymmetric models
Axisymmetric setting
A magneti
ISBN:9789400702028
Series:eBooks
Series:SpringerLink
Series:Scientific Computation, 1434-8322
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematics , Computer science , Engineering mathematics
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Call number:SPRINGER-2014-9783319078151:ONLINE Show nearby items on shelf
Title:Scheduling of Power Generation [electronic resource] : A Large-Scale Mixed-Variable Model
Author(s): Andrs Prkopa
Jnos Mayer
Beta Strazicky
Istvn Dek
Jnos Hoffer
goston Nmeth
Bla Potecz
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The book contains description of a real life application of modern mathematical optimization tools in an important problem solution for power networks. The objective is the modelling and calculation of optimal daily scheduling ofpower generation, by thermal power plants, to satisfy all demands at minimum cost, in such a way that the generation and transmission capacities as well as the demands at the nodes of the system appear in an integrated form. Thephysical parameters of the network are also take n into account. The obtained large-scale mixed variable problem is relaxed in a smart, practical way, to allow for fast numerical solution of the problem
Contents:Control of electric power systems
A general mathematical programming model for the scheduling of electric power generation
Assumptions for model simplification
The model obtained by taking into account the simplifying assumptions
Daily scheduling
Appendix: The transmission network of electric power systems
ISBN:9783319078151
Series:eBooks
Series:SpringerLink
Series:Springer Series in Operations Research and Financial Engineering, 1431-8598
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Industrial engineering
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Call number:SPRINGER-2014-9783319029498:ONLINE Show nearby items on shelf
Title:Mathematical Models and Numerical Simulation in Electromagnetism [electronic resource]
Author(s): Alfredo Bermdez
Dolores Gmez
Pilar Salgado
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The book represents a basic support for a master course in electromagnetism oriented to numerical simulation. The main goal of the book is that the reader knows the boundary-value problems of partial differential equations thatshould be solved in ord er to perform computer simulation of electromagnetic processes. Moreover it includes a part devoted to electric circuit theory based on ordinary differential equations. The book is mainly oriented to electricengineering applications, going from the genera l to the specific, namely, from the full Maxwells equations to the particular cases of electrostatics, direct current, magnetostatics and eddy currents models. Apart from standardexercises related to analytical calculus, the book includes some others orie nted to real-life applications solved with MaxFEM free simulation software
Contents:1 The harmonic oscillator
2 The Series RLC Circuit
3 Linear electrical circuits
4 Maxwells equations in free space
5 Some solutions of Maxwells equations in free space
6 Maxwells equations in material regions
7 Electrostatics
8 Direct current
9 Magnetostatics
10 The eddy currents model
11 An introduction to nonlinear magnetics. Hysteresis
12 Electrostatics with MaxFEM
13 Direct current with MaxFEM
14 Magnetostatics with MaxFEM
15 Eddy currents with MaxFEM
16 RLC circuits with MaxFEM
A Elements of graph theory
B Vector Calculus
C Fu
ISBN:9783319029498
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v74
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Magnetism , Computer engineering
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Call number:SPRINGER-2014-9783319021294:ONLINE Show nearby items on shelf
Title:A Textbook on Ordinary Differential Equations [electronic resource]
Author(s): Shair Ahmad
Antonio Ambrosetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The book is a primer of the theory of Ordinary Differential Equations. Each chapter is completed by a broad set of exercises the reader will also find a set of solutions of selected exercises. The book contains many interestingexamples as well (like the equations for the electric circuits, the pendium equation, the logistic equation, the Lotka-Volterra system, and many other) which introduce the reader to some interesting aspects of the theory and itsapplications. The work is mainly addressed to stud ents of Mathematics, Physics, Engineering, Statistics, Computer Sciences, with knowledge of Calculus and Linear Algebra, and contains more advanced topics for further developments,such as Laplace transform Stability theory and existence of solutions to Bo undary Value problems. The authors are preparing a complete solutions manual, containing solutions to all the exercises published in the book. The manual willbe available Summer 2014. Instructors who wish to adopt the book may request the manual by writin g directly to one of the authors
Contents:1 First order linear differential equations
2 Theory of first order differential equations
3 First order nonlinear differential equations
4 Existence and uniqueness for systems and higher order equations
5 Second Order Equations
6 Higher Order Linear Equations
7 Systems of First Order Equations
8 Qualitative analysis of 22 systems and nonlinear second order equations
9 Sturm Liouville eigenvalue theory
10 Solutions by infinite series and Bessel functions
11 Laplace transform
12 Stability Theory
13 Boundary Value problems
Appendix A. Numerical methods
ISBN:9783319021294
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v73
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Numerical analysis
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Call number:SPRINGER-2014-9783034806572:ONLINE Show nearby items on shelf
Title:Introduction to the Qualitative Theory of Differential Systems [electronic resource] : Planar, Symmetric and Continuous Piecewise Linear Systems
Author(s): Jaume Llibre
Antonio E Teruel
Date:2014
Publisher:Basel : Springer Basel : Imprint: Springer
Size:1 online resource
Note:The book deals with continuous piecewise linear differential systems in the plane with three pieces separated by a pair of parallel straight lines. These differential systems are symmetric with respect to the origin ofcoordinates. This class of syste ms, driven by concrete applications, is of interest in engineering, in particular in control theory and the design of electric circuits. By studying these particular differential systems, we willintroduce the basic tools of the qualitative theory of ordin ary differential equations, which allow us to describe the global dynamics of these systems including the dynamics at infinity. The behavior of their solutions, theirparametric stability or instability and their bifurcations are described. The book is hig hly suitable for a first course in the qualitative theory of differential equations or dynamical systems, particularly for engineers,mathematicians, and physicists
Contents:Preface
1 Introduction and statement of the main results
2 Basic elements of the qualitative theory of ODEs
3 Fundamental systems
4 Return maps
5 Phase portraits
Index
Bibliography.
ISBN:9783034806572
Series:eBooks
Series:SpringerLink
Series:Birkhuser Advanced Texts Basler Lehrbcher, 1019-6242
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial , Systems theory
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Call number:SPRINGER-2012-9783642274312:ONLINE Show nearby items on shelf
Title:Handbook of CO in Power Systems [electronic resource]
Author(s): Qipeng P Zheng
Steffen Rebennack
Panos M Pardalos
Mario V. F Pereira
Niko A Iliadis
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Handbook of COin Power Systems' objective is to include the state-of-the-art developments that occurred in power systems taking COemission into account. The book includes power systems operation modeling withCOemissions considerations, COmarket m echanism modeling, COregulation policy modeling, carbon price forecasting, and carbon capture modeling. For each of the subjects, at least one article authored by a world specialist on thespecific domain is included
Note:Springer eBooks
Contents:Introduction
I. Operation System Optimization
II. Portfolio Operation Optimization
III. Carbon Capture and Sequestration modeling
IV. Market mechanisms modeling
V. System Expansion Optimization
VI. Carbon funds modeling
VII. CO2 price forecasting
VIII. CO2 and other emissions
IX. CO2 regulation modeling.
ISBN:9783642274312
Series:e-books
Series:SpringerLink (Online service)
Series:Energy Systems, 1867-8998
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Electric engineering , Operations research
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Call number:SPRINGER-2012-9783642234064:ONLINE Show nearby items on shelf
Title:Handbook of Networks in Power Systems II [electronic resource]
Author(s): Alexey Sorokin
Steffen Rebennack
Panos M Pardalos
Niko A Iliadis
Mario V. F Pereira
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Energy has been an inevitable component of human lives for decades. Recent rapid developments in the area require analyzing energy systems not as independent components but rather as connected interdependent networks. TheHandbook of Networks in Power Systems includes the state-of-the-art developments that occurred in the power systems networks, in particular gas, electricity, liquid fuels, freight networks, as well as their interactions. The book isseparated into two volumes with three sections, wher e one scientific paper or more are included to cover most important areas of networks in power systems. The first volume covers topics arising in electricity network, in particularelectricity markets, smart grid, network expansion, as well as risk managem ent. The second volume presents problems arising in gas networks such as scheduling and planning of natural gas systems, pricing, as well as optimal locationof gas supply units. In addition, the second volume covers the topics of interactions between ener gy networks. Each subject is identified following the activity on the domain and the recognition of each subject as an area of research.The scientific papers are authored by world specialists on the domain and present either state-of-the-arts reviews or s cientific developments
Note:Springer eBooks
ISBN:9783642234064
Series:e-books
Series:SpringerLink (Online service)
Series:Energy Systems, 1867-8998
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Electric engineering
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Call number:SPRINGER-2012-9783642231933:ONLINE Show nearby items on shelf
Title:Handbook of Networks in Power Systems I [electronic resource]
Author(s): Alexey Sorokin
Steffen Rebennack
Panos M Pardalos
Niko A Iliadis
Mario V. F Pereira
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Energy has been an inevitable component of human lives for decades. Recent rapid developments in the area require analyzing energy systems not as independent components but rather as connected interdependent networks. TheHandbook of Networks in Power Systems includes the state-of-the-art developments that occurred in the power systems networks, in particular gas, electricity, liquid fuels, freight networks, as well as their interactions. The book isseparated into two volumes with three sections, wher e one scientific paper or more are included to cover most important areas of networks in power systems. The first volume covers topics arising in electricity network, in particularelectricity markets, smart grid, network expansion, as well as risk managem ent. The second volume presents problems arising in gas networks such as scheduling and planning of natural gas systems, pricing, as well as optimal locationof gas supply units. In addition, the second volume covers the topics of interactions between ener gy networks. Each subject is identified following the activity on the domain and the recognition of each subject as an area of research.The scientific papers are authored by world specialists on the domain and present either state-of-the-arts reviews or s cientific developments
Note:Springer eBooks
Contents:Part I
Electricity
Network
ISBN:9783642231933
Series:e-books
Series:SpringerLink (Online service)
Series:Energy Systems, 1867-8998
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization , Electric engineering , Operations research
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Call number:SPRINGER-2012-9781461436096:ONLINE Show nearby items on shelf
Title:Aeroelasticity [electronic resource] : The Continuum Theory
Author(s): AV Balakrishnan
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The author's approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered althoughmuch of the book is c oncerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provided new insights into the classical inviscid aerodynamics and raisesnovel and interesting questions on fundament al issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteadyaerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly inmind because of its enormous consequences for the safety of aircraft. Aeroelasticinstabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant h azard to the aircraft and impact its performance. Yet, it is now recognized that there are many other physical phenomena that havesimilar characteristics ranging from flows around flexible tall buildings and long span bridges, alternate energy sources suc h as electric power generation by smart structures to flows internal to the human body. From the foreword:For the theorist and applied mathematician who wishes an introduction to this fascinating subject as well as for the experienced aeroelastician who i s open to new challenges and a fresh viewpoint, this book and its author have muchto offer the reader. Earl Dowell, Duke University, USA
Note:Springer eBooks
Contents:Introduction
Dynamics of Wing Structure
The Air Flow Model
The Steady State HStatic L Solution of the Aeroelastic Equation
Linear Aeroelasticity Theory The Possio Integral Equation
NonLinear Aeroelasticity Theory in 2 D Aerodynamics Flutter As LCO
Viscous Flow Theory
Optimal Control Theory : Flutter Suppression
Aeroelastic Gust Response
ISBN:9781461436096
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial , Materials , Engineering design
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Call number:SPRINGER-2011-9783642195921:ONLINE Show nearby items on shelf
Title:Random Walks and Diffusions on Graphs and Databases [electronic resource] : An Introduction
Author(s): Philippe Blanchard
Dimitri Volchenkov
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precisequantitative descripti on of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to the field, to the theory of graphs and random walks on suchgraphs. The methods based on random walks and di ffusions for exploring the structure of finite connected graphs and databases are reviewed (Markov chain analysis). This provides the necessary basis for consistently discussing a numberof applications such diverse as electric resistance networks, estimat ion of land prices, urban planning, linguistic databases, music, and gene expression regulatory networks
Note:Springer eBooks
Contents:Introduction to Permutations, Markov Chains, and Partitions
Worth Another Binary Relation: Graphs
Permutations Sieved Through Adjacency: Garph Autormorphisms
Exploring Undirected Graphs by Random Walks
Embedding of Graphs in Probabilistic Euclidean Space
Random Walks and Electric Resistance Networks
Random Walks and Diffusions on Directed Graphs and Interacting Networks
Structural Analysis of Networks and Databases
When Feedbacks Matter: Epidemics, Synchronization, and Self
Regulation in Complex Networks
Critical Phenomena on Large Graphs With Regular Subgraphs
Gl
ISBN:9783642195921
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389 : v10
Series:Physics and Astronomy (Springer-11651)
Keywords: Data structures (Computer science) , Cell aggregation Mathematics , Engineering
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Call number:SPRINGER-2010-9783642126864:ONLINE Show nearby items on shelf
Title:Handbook of Power Systems II [electronic resource]
Author(s): Steffen Rebennack
Panos M Pardalos
Mario V. F Pereira
Niko A Iliadis
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Energy is one of the world`s most challenging problems, and power systems are an important aspect of energy related issues. This handbook contains state-of-the-art contributions on power systems modeling and optimization. The bookis separated into tw o volumes with six sections, which cover the most important areas of energy systems. The first volume covers the topics operations planning and expansion planning while the second volume focuses on transmission anddistribution modeling, forecasting in ene rgy, energy auctions and markets, as well as risk management. The contributions are authored by recognized specialists in their fields and consist in either state-of-the-art reviews orexaminations of state-of-the-art developments. The articles are not pur ely theoretical, but instead also discuss specific applications in power systems
Note:Springer eBooks
Contents:Transmission and Distribution modelling
Recent Developments in Optimal Power Flow Modeling Techniques
Algorithms for Finding Optimal Flows in Dynamic Networks
Signal Processing for Improving Power Quality
Transmission Valuation Analysis based on Real Options with Price Spikes
Forecasting in Energy
Short
term Forecasting in Power Systems: A Guided Tour
State
of
the
Art of Electricity Price Forecasting in a Grid Environment
Modelling the Structure of Long
Term Electricity Forward Prices at Nord Pool
Hybrid Bottom
Up/Top
Down Modeling of Prices in Deregulated Wholesale
ISBN:9783642126864
Series:e-books
Series:SpringerLink (Online service)
Series:Energy Systems, 1867-8998
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electric engineering
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Call number:SPRINGER-2009-9780387786919:ONLINE Show nearby items on shelf
Title:Device and Materials Modeling in PEM Fuel Cells [electronic resource]
Author(s): Stephen J Paddison
Keith S Promislow
Date:2009
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Device and Materials Modeling in PEM Fuel Cells is a specialized text that compiles the mathematical details and results of both device and materials modeling in a single volume. Proton exchange membrane (PEM) fuel cells willlikely have an impact on our way of life similar to the integrated circuit. The potential applications range from the micron scale to large scale industrial production. Successful integration of PEM fuel cells into the mass market willrequire new materials and a deeper understand ing of the balance required to maintain various operational states. This book contains articles from scientists who contribute to fuel cell models from both the materials and deviceperspectives. Topics such as catalyst layer performance and operation, rea ctor dynamics, macroscopic transport, and analytical models are covered under device modeling. Materials modeling include subjects relating to the membrane andthe catalyst such as proton conduction, atomistic structural modeling, quantum molecular dynamic s, and molecular-level modeling of the anode and cathode electrocatalysts. Device and Materials Modeling in PEM Fuel Cells is ideal forprofessionals and researchers working with fuel cells, as well as electrical engineers and graduate students performing computational materials research, applied mathematics, and molecular physics
Note:Springer eBooks
Contents:Part I: Device Modeling: Modeling of PEMFC Catalyst Layer Performance and Degradation
Catalyst Layer Operation in PEM Fuel Cells: From Structural Pictures to Tractable Models
Reactor Dynamics of PEM Fuel Cells
Coupled Proton and Water Transport in Polymer Electrolyte Membranes
A Combination Model for Macroscopic Transport in Polymer
Electrolyte Membranes
Analytical models of a polymer electrolyte fuel cell
Phase change and Hysteresis in PEMFCs
Modeling of two
phase flow and catalytic reaction kinetics for DMFCs
Thermal and Electrical Coupling in Stacks
Part II: Mater
ISBN:9780387786919
Series:e-books
Series:SpringerLink (Online service)
Series:Topics in Applied Physics, 0303-4216 : v113
Series:Physics and Astronomy (Springer-11651)
Keywords: Engineering , Chemistry, Physical organic , Production of electric energy or power
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Call number:SPRINGER-2008-9781848000483:ONLINE Show nearby items on shelf
Title:Probability Theory [electronic resource] : A Comprehensive Course
Author(s): Achim Klenke
Date:2008
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Probabilistic concepts play an increasingly important role in mathematics, physics, biology, financial engineering and computer science. They help us to understand magnetism, amorphous media, genetic diversity and the perils ofrandom developments on the financial markets, and they guide us in constructing more efficient algorithms. This text is a comprehensive course in modern probability theory and its measure-theoretical foundations. Aimed primarily atgraduate students and researchers, the book cov ers a wide variety of topics, many of which are not usually found in introductory textbooks, such as: limit theorems for sums of random variables martingales percolation Markov chainsand electrical networks construction of stochastic processes Poisson poi nt processes and infinite divisibility large deviation principles and statistical physics Brownian motion and stochastic integral and stochastic differentialequations. The theory is developed rigorously and in a self-contained way, with the chapters on me asure theory interlaced with the probabilistic chapters in order to display the power of the abstract concepts in the world ofprobability theory. In addition, plenty of figures, computer simulations, biographic details of key mathematicians, and a wealth of examples support and enliven the presentation
Note:Springer eBooks
Contents:Basic Measure Theory
Independence
Generating Functions
The Integral
Moments and Laws of Large Numbers
Convergence Theorems
Lp
Spaces and the Radon
Nikodym Theorem
Conditional Expectations
Martingales
Optional Sampling Theorems
Martingale Convergence Theorems and Their Applications
Backwards Martingales and Exchangeability
Convergence of Measures
Probability Measures on Product Spaces
Characteristic Functions and the Central Limit Theorem
Infinitely Divisible Distributions
Markov Chains
Convergence of Markov Chains
Markov Chains and Electric
ISBN:9781848000483
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2008-9780817646998:ONLINE Show nearby items on shelf
Title:Control of Turbulent and Magnetohydrodynamic Channel Flows [electronic resource] : Boundary Stabilization and State Estimation
Author(s): Rafael Vazquez
Miroslav Krstic
Date:2008
Publisher:Boston, MA : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weatherforecasting, and plasma co ntrol. The basis of the approach used in the work is the recently developed continuous backstepping method for parabolic partial differential equations, expanding the applicability of boundary controllers forflow systems from low Reynolds numbers to high Reynolds number conditions. Efforts in flow control over the last few years have led to a wide range of developments in many different directions, but most implementable developments thusfar have been obtained using discretized versions of the plant model s and finite-dimensional control techniques. In contrast, the design methods examined in this book are based on the continuum version of the backsteppingapproach, applied to the PDE model of the flow. The postponement of spatial discretization until the i mplementation stage offers a range of numerical and analytical advantages. Specific topics and features: * Introduction of controland state estimation designs for flows that include thermal convection and electric conductivity, namely, flows where instabi lity may be driven by thermal gradients and external magnetic fields. * Application of a specialbackstepping approach where the boundary control design is combined with a particular Volterra transformation of the flow variables, which yields not only the stabilization of the flow, but also the explicit solvability of theclosed-loop system. * Presentation of a result unprecedented in fluid dynamics and in the analysis of NavierStokes equations: closed-form expressions for the solutions of linearized Navier Stokes equations under feedback. *Extension of the backstepping approach to eliminate one of the well-recognized root causes of transition to turbulence: the decoupling of the OrrSommer
Note:Springer eBooks
Contents:Preface
Introduction
Thermal
Fluid Convection Loop: Boundary Stabilization
Thermal
Fluid Convection Loop: Boundary Estimation and Output
Feedback Stabilization
2D NavierStokes Channel Flow: Boundary Stabilization
2D NavierStokes Channel Flow: Boundary Estimation
3D Magnetohydrodynamic Channel Flow: Boundary Stabilization
3D Magnetohydrodynamic Channel Flow: Boundary Estimation
2D NavierStokes Channel Flow: Stable Flow Transfer
Open Problems
Bibliography
Index
ISBN:9780817646998
Series:e-books
Series:SpringerLink (Online service)
Series:Systems&Control: Foundations&Applications
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Systems theory , Fluids , Hydraulic engineering , Mechanical engineering
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Call number:SPRINGER-2007-9783540712695:ONLINE Show nearby items on shelf
Title:Synchronization in Oscillatory Networks [electronic resource]
Author(s): Grigory V Osipov
Jrgen Kurths
Changsong Zhou
Date:2007
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The formation of collective behavior in large ensembles or networks of coupled oscillatory elements is one of the oldest and most fundamental aspects of dynamical systems theory. Potential and present applications span a vastspectrum of fields rangin g from physics, chemistry, geoscience, through life- and neurosciences to engineering, the economic and the social sciences. This work systematically investigates a large number of oscillatory networkconfigurations that are able to describe many real syst ems such as electric power grids, lasers or the heart muscle - to name but a few. This book is conceived as an introduction to the field for graduate students in physics andapplied mathematics as well as being a compendium for researchers from any field o f application interested in quantitative models
Note:Springer eBooks
Contents:Introduction
Basic Models
Synchronization Due to External Periodic Forcing
Synchronization of Two Coupled Systems
Synchronization in Ensembles of Phase Oscillators
Synchronization in Chains of Coupled Limit
Cycle Oscillators
Phase Synchronization in Ensembles of Chaotic OscillatorsWith a Period
Doubling Route to Chaos. Rssler Oscillators
Synchronization of Intermittent
Like Oscillations in Chains of Coupled Maps
Regular and Chaotic Phase Synchronisation of Coupled Circle Maps
Controlling Phase Synchronization in Oscillatory Networks
Synchronization Structures in
ISBN:9783540712695
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Synergetics, 0172-7389
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Mathematics , Telecommunication , Biomedical engineering
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Call number:SPRINGER-2004-9783662095102:ONLINE Show nearby items on shelf
Title:Progress in Industrial Mathematics at ECMI 2002
Author(s):
Date:2004
Size:1 online resource (409 p.)
Note:10.1007/978-3-662-09510-2
Contents:Mathematical Modeling is a Source of Novel Mathematical Problems -- Parameter Identification in Industrial Problems via Iterative Regularization Methods -- Mathematics of Enhanced Oil Recovery -- Business Modelling. Languages and
Tools -- Modelling Tumour Growth and Progression -- Interaction of Viscous Mean Flows and Surface Waves at Low Viscosity -- Modified FEM for Fibre-Fluid Interactions -- Numerical Investigation of the Geometrical Factor for Simulating
the Drying of Wood -- Phase Plane Analysis of Web Drying -- Parameters Identification for Wood Drying -- Numerical Methods in the Simulation of Vehicle-Guideway Interaction -- Parameter Optimization in Mechanical Multibody Systems and
Linearized Runge-Kutta Methods -- Using AD-generated Derivatives in Optimal Control of an Industrial Robot -- Applications to Traffic Breakdown on Highways -- Runge-Kutta-Nyström-Methods with Maximized Stability Domain for Stiff
Mechanical Systems -- Free Boundary Problems Describing Two-Dimensional Pulse Recycling and Motion in Semiconductors -- Mobility for Silicon Semiconductor Derived from the Hydrodynamical Model Based on the Maximum Entropy Principle --
Random Domain-Relocation Times in Semiconductor Superlattices: A Stochastic Discrete Drift-Diffusion Approach -- A Priori Estimates for Multiphysics Models in Electric Circuit Design -- Preconditioned Splitting in Dynamic Iteration
Schemes for Coupled DAE Systems in RC Network Design -- Augmented Lagrangian Algorithm for Optimizing Analog Circuit Design -- Simulating Multi-tone Free-running Oscillators with Optimal Sweep Following -- Jacobi-Davidson Methods and
Preconditioning with Applications in Pole-zero Analysis -- Development and Comparison of Formulas for Scaling ANN Inputs and Outputs in RF-Modeling Applications -- Reduced Order Modelling — Methods and Constraints -- Ghost Field
Gauging Used in Electrodynamic Simulation -- Option Pricing Using Stochastic Volatility Models -- Mathematical Model for Gravitational Cascade Separation of Pourable Materials at Identical Stages of a Classifier -- Parallel Iterative
Solvers for Sparse Linear Systems in Circuit Simulation -- Conservative Averaging Method for Solutions of Inverse Problems for Heat Equation -- Creation of Temperature Field in a Finite Cylinder by Alternated Electromagnetic Force -- A
Finite Element Method for Parabolic Equations -- Reduction of a Mathematical Model for Polymer Crystallization -- Asymptotic and Numerical Aspects of a Nonlinear Singular Integro-Differential Equation for Dryout in a LMFBR Boiler Tube
-- Geostatistics: An Overview of Estimation and Simulation Methods for Oil Reservoirs and Basin Modelling -- Global Uncertainty and Sensitivity Analysis and Neighbourhoods -- A Mathematical Model for Tonometry -- Modelling Capillary
Pressure in a Streamline Reservoir Simulator Using Operator Splitting -- Electromagnetic Simulations in the Electronics Industry -- Reduction of a Non—Linear Parabolic Initial—Boundary Value Problem to Cauchy Problem for a System of
ODEs -- Recent Applications of Multipole Expansions in Computational Electromagnetics -- Examples of Asymptotical Analysis of Hyperbolic Equations -- Monte Carlo Valuation of American Options -- On the Frame — Invariant Description of
the Phase Space of the Folgar—Tucker Equation -- Simulating Bass Loudspeakers Requires Nonlinear Acoustics — a Second Order Correction to the Helmholtz Equation -- A Mathematical Model for Hammocking of a Bandage on a Limb --
Probabilistic Analysis of DAX High Frequency Data -- Optimal and Robust Damping Control for Semi-Active Vehicle Suspension -- A Fast Finite Difference Method for Elliptic PDEs in Domains with Non-Grid Aligned Boundaries with
Application to 3D Linear Elasticity -- Analysis of a Model for Twin-Wire Forming -- Coherent Dynamics of Excitable and Coupled ?-Cells -- A Mathematical Model of the Cardiovascular System -- Mathematical Modelling of the Drawing of
Spun Capillary Tubes -- Mathematical Modelling of CO-oxidation on Modified Pt-Catalyst -- Mathematical Models for Impinging Jets -- Relations Between the Motion-Responses Caused by Fixed and Moving Loads Acting on Discretely Supported
Strings and Beams
ISBN:9783662095102
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The European Consortium for Mathematics in Industry: 5
Keywords: Mathematics , Chemometrics , Applied mathematics , Engineering mathematics , Economics, Mathematical , Computer mathematics , Mathematical optimization , Mathematics , Applications of Mathematics , Computational Mathematics and Numerical Analysis , Optimization , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering , Quantitative Finance
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Call number:SPRINGER-2004-9780817681821:ONLINE Show nearby items on shelf
Title:H∞ Engineering and Amplifier Optimization
Author(s): Jeffery C Allen
Date:2004
Size:1 online resource (249 p.)
Note:10.1007/978-0-8176-8182-1
Contents:1 Electric Circuits for Mathematicians -- 2 The Amplifier Matching Problem -- 3 H? Tools for Electrical Engineers -- 4 Lossless N-Ports -- 5 The H? Framework -- 6 Amplifier Matching Examples -- 7 H? Multidisk Methods -- 8 State-Space
Methods for Single Amplifiers -- 9 State-Space Methods for Multiple Amplifiers -- 10 Research Topics -- A The Axioms of Electric Circuits -- A.1 Krein Spaces and Angle Operators -- A.2 N-Ports ?Angle Operators -- A.3 Time Invariance
?Convolution -- A.4 Causality ? Analyticity -- Existence -- B Taylor’s Expansion and the Descent Lemma -- Taylor’s Expansion -- The Kolmogorov Criterion -- 237 -- 245
ISBN:9780817681821
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , System theory , Mathematical optimization , Control engineering , Robotics , Mechatronics , Mathematics , Systems Theory, Control , Applications of Mathematics , Optimization , Appl.Mathematics/Computational Methods of Engineering , Control, Robotics, Mechatronics , Signal, Image and Speech Processing
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Call number:SPRINGER-2003-9789401724944:ONLINE Show nearby items on shelf
Title:Optimization and Inverse Problems in Electromagnetism
Author(s):
Date:2003
Size:1 online resource (336 p.)
Note:10.1007/978-94-017-2494-4
Contents:1. General Papers -- How to Find New and Fresh Ideas -- Mimicking Nature: How Nature Inspires Methodologies in Computational Electromagnetics -- Comparing Stochastic Methods on SMES Optimization -- 2. Methodology -- Using Quasi Random
Sequences in Genetic Algorithms -- Symbolic Treatment on Equation Based Models to Prepare Code Generation for Optimization Process -- Multiobjective Shape Design in Electromechanics: A Contribution to Benchmarking -- A New Method for
Optimizing the Designing of Grounding Grids -- Solving ODE for Optimization: Specific Use of the Matrix Approach -- Use of Discretization and Solution History in Stochastic Optimization -- A Genetic Algorithm Method for Determining the
Maximum Touch Voltage Generated by a Grounding System -- Optimization Techniques Benefits for Magnetic Component Design -- Numerical Optimization Methods in Magnet Design -- The Use of Quasi-red and Quasi-yellow Nonobtuse Refinements
in the Solution of 2-D Electromagnetic PDE’s -- 2-D Inverse Problem: Ideal Current Distribution Generating a Magnetic Force Field with Given Constraints on Homogeneity -- S.M.E.S. Optimization Using the Experimental Design Method --
Optimal Design of Axial Field Silicon Micromotor by Use of Field/Circuit Models -- Exponential family and inverse problems. On Metamorphoses of Probability Theory -- Topological Evolution and Inverse Problems. On Probability Between
Discrete and Continuous -- Identification of Industrial Electromagnetic Field Sources -- 3. Applications -- Capitalisation and Treatment of Models for the Optimization of Electric Drives -- Application of Screening Analysis to the
Optimization of an Electromagnetic Induction Heating Device -- Identification of Conductivity Distribution in A Au-Al Junction for Application to Integrated Circuits -- Inverse Problem of Voltage Over Electrostatic Shield Gap in
Helical Transformer Windings -- Mixing of FEM and Analytical Modeling: Preliminary Design of a Transformer -- An Evolutionary Algorithm for the Optimal Design of a Rare Earth Permanent Magnet Machine -- Optimization of the Force
Characteristic of a Solenoid Electromagnet with Ferromagnetic Disc in the Coil -- Optimization of Permanent-Magnet DC Motors Using Orthogonal Arrays -- Identification of Field Model’s Parameters in the Turbine Generator End Zone Using
Measured Data -- Permanent Magnet Machine Optimization by using FEM and Sensitivity Analysis Techniques -- Optimization Under Constraints of Static Converters. Application to a Flyback Structure in PFC Mode -- Nondestructive Quality
Testing of High Temperature Superconducting Bulk Material Used in Electrical Machines and Magnetic Bearings -- Increasing of Output Power Capability in a Flux-Weakened Permanent Magnet Synchronous Motor With a Third Harmonic Current
Injection -- A Method of Shortening Breaking Time of the Magnetic Contactors by the External Magnetic Forces -- Authors’ Index
ISBN:9789401724944
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Applied mathematics , Engineering mathematics , System theory , Mathematical optimization , Optics , Electrodynamics , Electrical engineering , Mathematics , Applications of Mathematics , Mathematics of Computing , Optics and Electrodynamics , Optimization , Systems Theory, Control , Electrical Engineering
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Call number:SPRINGER-2003-9781461200512:ONLINE Show nearby items on shelf
Title:Foundations of Classical Electrodynamics Charge, Flux, and Metric
Author(s): Friedrich W Hehl
Date:2003
Size:1 online resource (113 p.)
Note:10.1007/978-1-4612-0051-2
Contents:Preface y -- Five plus one axioms -- Topological approach -- Electromagnetic spacetime relation as fifth axiom -- Electrodynamics in matter and the sixth axiom -- List of axioms -- A reminder: Electrodynamics in 3-dimensional
Euclidean vector calculus -- On the literature -- References -- A Mathematics: Some Exterior Calculus -- Why exterior differential forms? -- A.1 Algebra -- A.2 Exterior calculus -- A.3 Integration on a manifold -- References -- B
Axioms of Classical Electrodynamics -- B.1 Electric charge conservation -- B.2 Lorentz force density -- B.3 Magnetic flux conservation -- B.4 Basic classical electrodynamics summarized, example -- B.5 Electromagnetic energy-momentum
current and action -- References -- C More Mathematics -- C.1 Linear connection -- C.2 Metric -- References -- D The Maxwell—Lorentz Spacetime Relation -- D.1 A linear relation between H and F -- D.2 Propagation of electromagnetic
waves: Quartic wave surface -- D.3 First constraint: Electric/magnetic reciprocity -- D.4 Second constraint: Vanishing skewon field. Emergence of the light cone -- D.5 Extracting the metric by an alternative method -- D.6 Fifth axiom:
Maxwell-Lorentz spacetime relation -- References -- E Electrodynamics in Vacuum and in Matter -- E.1 Standard Maxwell-Lorentz theory in vacuum -- E.2 Electromagnetic spacetime relations beyond locality and linearity -- E.3
Electrodynamics in matter, constitutive law -- E.4 Electrodynamics of moving continua -- References -- ®Outlook -- How does gravity affect electrodynamics? -- Reissner—Nordström solution -- Rotating source: Kerr—Newman solution --
Electrodynamics outside black holes and neutron stars -- Force-free electrodynamics -- Remarks on topology and electrodynamics -- Superconductivity: Remarks on Ginzburg—Landau theory -- Classical (first quantized) Dirac field -- On the
quantum Hall effect and the composite fermion -- On quantum electrodynamics -- On electroweak unification -- References -- Author Index
ISBN:9781461200512
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematical Physics : 33
Keywords: Physics , Applied mathematics , Engineering mathematics , Manifolds (Mathematics) , Complex manifolds , Optics , Electrodynamics , Physics , Optics and Electrodynamics , Theoretical, Mathematical and Computational Physics , Applied and Technical Physics , Applications of Mathematics , Manifolds and Cell Complexes (incl. Diff.Topology)
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Call number:SPRINGER-2002-9783642559198:ONLINE Show nearby items on shelf
Title:High Performance Scientific And Engineering Computing Proceedings of the 3rd International FORTWIHR Conference on HPSEC, Erlangen, March 12–14, 2001
Author(s):
Date:2002
Edition:1
Size:1 online resource (408 p.)
Note:10.1007/978-3-642-55919-8
Contents:I. Fluid Flow -- Large-Scale Fluid-Structure Interaction Simulations Using Parallel Computers -- MEGAFLOW - An Industrial Flow Simulation Tool for Aircraft Applications 21 -- Development of a Parallel FVM Based Groundwater -- Flow
Model -- Adaptive Hybrid Mixed Finite Element Discretization of Instationary Variably Saturated Flow in Porous Media 37 -- Simulation of High Pressure Liquid Chromatography (HPLC) Columns with CFD 45 -- CFD Calculations of Flow,
Dispersion and Chemical Reactions in Fixed Bed Tubular Reactors Using the Lattice Boltzmann Method 53 -- Computational Engineering for Wind-Exposed Thin-Walled Structures 63 -- Numerical Simulation of Wind Loads on Antenna Structures
71 -- Numerical Calculation of Turbulent Premixed Flames with an Efficient Turbulent Flame Speed Closure Model 81 -- Monte Carlo Simulations of Radiative Heat Transfer with -- Parallel Computer Architectures 89 -- Direct Numerical
Simulation of Bubble Swarms with -- a Parallel Front-Tracking Method -- Symmetry-Preserving Discretization of Turbulent Channel -- Flow 107 -- Parallelization Strategies and Efficency of CFD Computations in Complex Geometries Using
Lattice Boltzmann Methods on High-Performance Computers 115 -- Applications of the Lattice Boltzmann Method to Complex and Turbulent Flows 123 -- Computation of Flows Around Space Configurations -- Flow Visualization on Hierarchical
Cartesian Grids -- II. Mathematical Methods -- The Finite Mass Method — A New Approach to the Solution of Flow Problems 149 -- An Octree-Based Approach for Fast Elliptic Solvers -- A Variable Order Method of Lines: Accuracy,
Conservation and Applications 167 -- A Hybrid Direct/Iterative Algorithm for the Solution of Poisson’s Equation Based on the Schur Complement Method 175 -- III. Crystal Growth and Materials -- High-Performance Computing, Multi-Scale
Models for Crystal Growth Systems -- Semi-Direct Numerical Simulation of a Czochralski Melt Flow on High-Performance Computers -- High-Order Numerical Solutions for Rotating Flows with Walls -- Parallel Coupled Simulation of Casting
Processes on Cluster of PCs 221 -- Controlling Point Defects in Single Silicon Crystals Grown by the Czochralski Method 229 -- A Two—Scale Method for Liquid—Solid Phase Transitions with Dendritic Microstructure 237 -- Application of
Higher Order BDF Discretization of the Boussinesq Equation and the Heat Transport Equation -- Spectral and Finite Volume Numerical Approximations for Solutal Convection in Melted Alloys 253 -- Numerical Simulation of Physical Vapour
Transport Crystal Growth Processes by a Finite Volume Solution Algorithm 261 -- 3D Block-Structured Grid Algorithms for the Numerical Simulation of Chemical Vapor Deposition in Horizontal Reactors -- Control of Electron Beam
Evaporation: Numerical Simulation -- IV. Dynamic Systems and Optimal Control -- Solution of a Hard Flight Path Optimization Problem by Different Optimization Codes 289 -- Adaptive Data Structures and Algorithms for Efficient
Visualization and Data Management at Runtime of Terrain and Feature Data 297 -- Recent Improvements in the Trajectory Optimization Software ASTOS -- Optimal Design of the Power Train of Vehicles: Modelling, Simulation and Optimization
-- Unsteady Heat Load Simulation for Hypersonic Cruise Optimization 325 -- Modeling Techniques and Parameter Estimation for the Simulation of Complex Vehicle Structures -- V. Optimization of Electronic Circuits -- Numerical Techniques
for Different Time Scales in Electric Circuit Simulation 343 -- Transient Noise Analysis in Circuit Simulation -- Realistic Step Flow Model for Orientation-Dependent Wet Etching 369 -- Modeling of Ion-Induced Charge Generation in High
Voltage Diodes 377 -- Modelling and Simulation of the Transient Electromagnetic Behavior of High Power Bus Bars 385 -- Modeling and Simulation of Electrothermomechanical -- Coupling Phenomena in High Power Electronics -- Heat
Conduction as Eigenvalue Problem
ISBN:9783642559198
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Computational Science and Engineering: 21
Keywords: Computer science , Science , Computer simulation , Computer mathematics , Physics , Computational intelligence , Computer Science , Simulation and Modeling , Science, general , Computational Mathematics and Numerical Analysis , Mathematical Methods in Physics , Numerical and Computational Physics , Computational Intelligence
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Call number:SPRINGER-2002-9781468492798:ONLINE Show nearby items on shelf
Title:Mathematics for the Physical Sciences
Author(s): James B Seaborn
Date:2002
Size:1 online resource (245 p.)
Note:10.1007/978-1-4684-9279-8
Contents:1 A Review -- 1.1 Electrostatics -- 1.2 Electric Current -- 1.3 Magnetic Flux -- 1.4 Simple Harmonic Motion -- 1.5 A Rigid Rotator -- 1.6 Exercises -- 2 Vectors -- 2.1 Representations of Vectors -- 2.2 The Scalar Product of Two
Vectors -- 2.3 The Vector Product of Two Vectors -- 2.4 Exercises -- 3 Vector Calculus -- 3.1 Partial Derivatives -- 3.2 A Vector Differential Operator -- 3.3 Components of the Gradient -- 3.4 Flux -- 3.5 Exercises -- 4 Complex Numbers
-- 4.1 Why Study Complex Numbers? -- 4.2 Roots of a Complex Number -- 4.3 Exercises -- 5 Differential Equations -- 5.1 Infinite Series -- 5.2 Analytic Functions -- 5.3 The Classical Harmonic Oscillator -- 5.4 Boundary Conditions -- 5.5
Polynomial Solutions -- 5.6 Elementary Functions -- 5.7 Singularities -- 5.8 Exercises -- 6 Partial Differential Equations -- 6.1 The Method of Separation of Variables -- 6.2 The Quantum Harmonic Oscillator -- 6.3 A Conducting Sphere
in an Electric Field -- 6.4 The Schrödinger Equation for a Central Field -- 6.5 Exercises -- 7 Eigenvalue Problems -- 7.1 Boundary Value Problems -- 7.2 A Vibrating Drumhead -- 7.3 A Particle in a One-Dimensional Box -- 7.4 Exercises
-- 8 Orthogonal Functions -- 8.1 The Failure of Classical Physics -- 8.2 Observables and Their Measurement -- 8.3 Mathematical Operators -- 8.4 Eigenvalue Equations -- 8.5 The Quantum Harmonic Oscillator -- 8.6 Sturm-Liouville Theory
-- 8.7 The Dirac Delta Function -- 8.8 Fourier Integrals -- 8.9 Fourier Series -- 8.10 Periodic Functions -- 8.11 Exercises -- 9 Matrix Formulation of the Eigenvalue Problem -- 9.1 Reformulating the Eigenvalue Problem -- 9.2 Systems of
Linear Equations -- 9.3 Back to the Eigenvalue Problem -- 9.4 Coupled Harmonic Oscillators -- 9.5 A Rotating Rigid Body -- 9.6 Exercises -- 10 Variational Principles -- 10.1 Fermat’s Principle -- 10.2 Another Variational Calculation --
10.3 The Euler-Lagrange Equation -- 10.4 Exercises -- Appendix A Vector Relations -- A.1 Vector Identities -- A.2 Integral Theorems -- A.3 The Functions of Vector Calculus -- Appendix B Fundamental Equations of Physics -- B.1 Poisson’s
Equation -- B.2 Laplace’s Equation -- B.3 Maxwell’s Equations -- B.4 Time-Dependent Schrödinger Equation -- Appendix C Some Useful Integrals and Sums -- C.1 Integrals -- C.2 Sums -- Appendix D Algebraic Equations -- D.1 Quadratic
Equation -- D.2 Cubic Equation -- References
ISBN:9781468492798
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Chemometrics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Numerical and Computational Physics , Math. Applications in Chemistry , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2001-9783642564703:ONLINE Show nearby items on shelf
Title:Scientific Computing in Electrical Engineering Proceedings of the 3rd International Workshop, August 20–23, 2000, Warnemünde, Germany
Author(s):
Date:2001
Size:1 online resource (428 p.)
Note:10.1007/978-3-642-56470-3
Contents:Multi-Time PDEs for Dynamical System Analysis -- Edge Finite Elements of Variable Order for Maxwell’s Equations -- A Common-Mode Skeleton Model for EMC Simulations -- Computational Electromagnetism in Transformer and Switchgear
Design: Current Trends -- Numerical Algorithms for the Calculation of Magneto-Quasistatic Fields Using the Finite Integration Technique -- Parallel Maxwell Solvers -- Simulation of Electric Field Strength and Force Density on
Contaminated H-V Insulators -- Commercial EM Codes Suitable for Modeling of Microwave Heating — a Comparative Review -- On the Representation of Differential Forms by Potentials in Dimension 3 -- Hysteresis Models for Transient
Simulation -- Calculation of Frequency Domain Parameters in Lossfree and Lossy Structures Using the FI-Technique and a Modal Approach -- Statistical Simulation Approach to Inverse Geoelectric Problem -- A Scalar BEM for Time Harmonic
Eddy Current Problems with Impedance Boundary Conditions -- Appraisal of Asymptotics in Electromagnetic Field Calculations -- Shape Optimization of Homogeneous Electromagnets -- Field Calculations of High Accuracy by BEM Using
Extrapolation -- Calculation of Electromagnetic Eigenmodes in Complex Structures Using Coupled S-Parameter Calculation -- Multigrid Solvers for Poisson’s Equation in Computational Electromagnetics -- Model Design Criteria for
Integrated Circuits to Have a Unique Solution and Good Numerical Properties -- CHORAL — A One Step Method as Numerical Low Pass Filter in Electrical Network Analysis -- Periodic Steady-State Analysis of Free-running Oscillators --
Efficient Analysis of Oscillatory Circuits -- Robust Limit Cycle Calculations of Oscillators -- Multirate ROW Methods of Mixed Type for Circuit Simulation -- Neural Networks for Device and Circuit Modelling -- Sub-micrometer Bipolar
Transistor Modeling Using Neural Networks -- Numerical Simulation for Lossy Microwave Transmission Lines Including PML -- Electromagnetic Simulation of Real-Life Circuits: A Mobile Phone Power Amplifier Module and an FM Radio Tuner PCB
-- Error Indicator and Adaptive Meshing for Hierarchical FEM-Simulation of Waveguides -- A Parallelizable GMRES-type Method for p-cyclic Matrices, with Applications in Circuit Simulation -- Parallel Algorithms for Solving Linear
Equations in VLSI Circuit Simulation -- Investigation of Time Step Control for the Mixed-Level Device/Circuit Simulation of SiGe Bipolar Microwave Power Amplifiers -- Symmetrical Retarded Current Source Model for Transient Field
Coupling on Interconnects -- Iterative Solution of Systems of Linear Equations in Microwave Circuits Using a Block Quasi-Minimal Residual Algorithm -- A Survey on Parameter Extraction Techniques for Coupling Electromagnetic Devices to
Electric Circuits -- A Mathematical Framework for the Finite Element Modelling of Electromechanical Problems -- Dual Magnetodynamic Finite Element Formulations with Natural Definitions of Global Quantities for Electric Circuit Coupling
-- Induction Heating of Thin Slabs in Nonmagnetic Media -- Krylov Subspace Methods for Harmonic Balanced Finite Element Methods -- The “Modified Trapezoidal Rule” (?-Method) for the Integration of DAEs Modelling an Electro-Mechanical
Drive Including External Circuitry and Magnetic Field-Distribution -- Analysis of Coupled Electromagnetic and Thermal Fields in the Instationary Case -- On the Evaluation of Transients in Conducting Ferromagnetic Cores
ISBN:9783642564703
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Computational Science and Engineering: 18
Keywords: Engineering , Computers , Computer engineering , Computer mathematics , Numerical analysis , Computational intelligence , Electrical engineering , Engineering , Electrical Engineering , Theory of Computation , Computer Engineering , Computational Mathematics and Numerical Analysis , Numerical Analysis , Computational Intelligence
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Call number:SPRINGER-2000-9789401141871:ONLINE Show nearby items on shelf
Title:Geometric Dynamics
Author(s): Constantin Udrişte
Date:2000
Size:1 online resource (395 p.)
Note:10.1007/978-94-011-4187-1
Contents:1 Vector Fields -- 1.1. Scalar fields -- 1.2. Vector fields -- 1.3. Submanifolds of Rn -- 1.4. Derivative with respect to a vector -- 1.5. Vector fields as linear operators and derivations -- 1.6. Differential operators -- 1.7.
Proposed problems -- 2 Particular Vector Fields -- 2.1. Irrotational vector fields -- 2.2. Vector fields with spherical symmetry -- 2.3. Solenoidal vector fields -- 2.4. Monge and Stokes representations -- 2.5. Harmonic vector fields
-- 2.6. Killing vector fields -- 2.7. Conformai vector fields -- 2.8. Affine and projective vector fields -- 2.9. Torse forming vector fields -- 2.10. Proposed problems -- 3 Field Lines -- 3.1. Field lines -- 3.2. First integrals --
3.3. Field lines of linear vector fields -- 3.4. Runge-Kutta method -- 3.5. Completeness of vector fields -- 3.6. Completeness of Hamiltonian vector fields -- 3.7. Flows and Liouville’s theorem -- 3.8. Global flow generated by a
Killing or affine vector field -- 3.9. Local flow generated by a conformai vector field -- 3.10. Local flow generated by a projective vector field -- 3.11. Local flow generated by an irrotational, solenoidal or torse forming vector
field -- 3.12. Vector fields attached to the local groups of diffeomorphisms -- 3.13. Proposed problems -- 4 Stability of Equilibrium Points -- 4.1. Problem of stability -- 4.2. Stability of zeros of linear vector fields -- 4.3.
Classification of equilibrium points in the plane -- 4.4. Stability by linear approximation -- 4.5. Stability by Lyapunov functions -- 4.6. Proposed problems -- 5. Potential Differential Systems of Order One and Catastrophe Theory --
5.1. Critical points and gradient lines -- 5.2. Potential differential systems and elementary catastrophes -- 5.3. Gradient lines of the fold -- 5.4. Gradient lines of the cusp -- 5.5. Equilibrium points of gradient of swallowtail --
5.6. Equilibrium points of gradient of butterfly -- 5.7. Equilibrium points of gradient of elliptic umbilic -- 5.8. Equilibrium points of gradient of hyperbolic umbilic -- 5.9. Equilibrium points of gradient of parabolic umbilic --
5.10. Proposed problems -- 6. Field Hypersurfaces -- 6.1. Linear equations with partial derivatives of first order -- 6.2. Homogeneous functions and Euler’s equation -- 6.3. Ruled hypersurfaces -- 6.4. Hypersurfaces of revolution --
6.5. Proper values and proper vectors of a vector field -- 6.6. Grid method -- 6.7. Proposed problems -- 7. Bifurcation Theory -- 7.1 Bifurcation in the equilibrium set -- 7.2 Centre manifold -- 7.3 Flow bifurcation -- 7.4 Hopf theorem
of bifurcation -- 7.5 Proposed problems -- 8. Submanifolds Orthogonal to Field Lines -- 8.1. Submanifolds orthogonal to field lines -- 8.2. Completely integrable Pfaff equations -- 8.3. Frobenius theorem -- 8.4. Biscalar vector fields
-- 8.5. Distribution orthogonal to a vector field -- 8.6. Field lines as intersections of nonholonomic spaces -- 8.7. Distribution orthogonal to an affine vector field -- 8.8. Parameter dependence of submanifolds orthogonal to field
lines -- 8.9. Extrema with nonholonomic constraints -- 8.10. Thermodynamic systems and their interaction -- 8.11. Proposed problems -- 9. Dynamics Induced by a Vector Field -- 9.1. Energy and flow of a vector field -- 9.2. Differential
equations of motion in Lagrangian and Hamiltonian form -- 9.3. New geometrical model of particle dynamics -- 9.4. Dynamics induced by an irrotational vector field -- 9.5. Dynamics induced by a Killing vector field -- 9.6. Dynamics
induced by a conformai vector field -- 9.7. Dynamics mduced by an affine vector field -- 9.8. Dynamics induced by a projective vector field -- 9.9. Dynamics induced by a torse forming vector field -- 9.10. Energy of the Hamiltonian
vector field -- 9.11. Kinematic systems of classical thermodynamics -- 10 Magnetic Dynamical Systems and Sabba ?tef?nescu Conjectures -- 10.1. Biot-Savart-Laplace dynamical systems -- 10.2. Sabba ?tef?nescu conjectures -- 10.3.
Magnetic dynamics around filiform electric circuits of right angle type -- 10.4. Energy of magnetic field generated by filiform electric circuits of right angle type -- 10.5. Electromagnetic dynamical systems as Hamiltonian systems --
11 Bifurcations in the Mechanics of Hypoelastic Granular Materials -- 11.1. Constitutive Equations -- 11.2. The Axial Symmetric Case -- 11.3. Conclusions -- 11.4. References
ISBN:9789401141871
Series:eBooks
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Series:Mathematics and Its Applications : 513
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematical models , Differential geometry , Mathematical optimization , Mathematics , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Differential Geometry , Optimization , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2000-9781461212546:ONLINE Show nearby items on shelf
Title:Solitons Properties, Dynamics, Interactions, Applications
Author(s):
Date:2000
Size:1 online resource (312 p.)
Note:10.1007/978-1-4612-1254-6
Contents:1 Berry Phase and Dissipation of Topological Singularities -- 2 Normal Mode Spectra of Multi-Skyrmions -- 3 Standard-Model Dirac Particles Trapped in Flat (Noncompact) Higher Dimensions -- 4 Planar QED in Magnetic or Electric
Solitonic Backgrounds -- 5 Collective Coordinates and Inequivalent Coset Space Quantizations -- 6 Spatial Solitons of the Nonlinear Schrödinger Equation of Arbitrary Nonlinearity with a Potential Hill -- 7 Hairs on the Unicorn: Fine
Structure of Monopoles and Other Solitons -- 8 A Model for Partially Polarized Quantum Hall States -- 9 Ordering Dynamics of Topological Defect Networks -- 10 Gauge Theory Description of Spin Chains and Ladders -- 11 Soliton Solutions
of the Integrable Chiral Model in (2+1) Dimensions -- 12 String Winding Modes From Charge Nonconservation in Compact Chern-Simons Theory -- 13 Holes in the Charge Density of Topological Solitons -- 14 From Two-dimensional Black Holes
to sine-Gordon Solitons -- 15 Solitons and Exciton Superfluidity -- 16 Quantum Effects on Higgs Winding Configurations -- 17 Solitons and Their Moduli Spaces -- 18 Deformed Skyrmions -- 19 The Large-Nc Renormalization Group -- 20
Instantons in Nonirreducible Representations of the Lorentz Group -- 21 Fermion Vacuum Effects on Soliton Stability -- 22 Soliton Solutions of the ?-Model and Disoriented Chiral Condensates -- 23 Dynamics of Topological Magnetic
Solitons -- 24 Fun with Baby-Skyrmions -- 25 Skyrmions and Domain Walls -- 26 Fun with Electroweak Solitons -- 27 Neutral and Charged Spin Excitations in the Quantum Hall Ferromagnet -- 28 Quantum Corrections to Monopoles -- 29
Nonabelian Dyons -- 30 Electroweak Baryon Properties in Soliton Models -- 31 Solitons, Duality, and Supersymmetric Gauge Theories -- 32 Solitonic Strings and Knots -- 33 Toward a String Formulation of Vortex Dynamics -- 34 Domain Walls
in a Chern-Simons Theory -- 35 Microphysics of Gauge Vortices and Baryogenesis -- 36 On a Dual Standard Model -- 37 From Skyrmions to the Nucleon-Nucleon Potential -- 38 Two-dimensional Solitons at Finite Temperature -- 39
Nontopological Structures in the Baby-Skyrme Model
ISBN:9781461212546
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Keywords: Physics , Mathematical analysis , Analysis (Mathematics) , Applied mathematics , Engineering mathematics , Physics , Physics, general , Analysis , Applications of Mathematics
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Call number:SPRINGER-1999-9781461547990:ONLINE Show nearby items on shelf
Title:Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media
Author(s):
Date:1999
Size:1 online resource (411 p.)
Note:10.1007/978-1-4615-4799-0
Contents:I. Mathematical models for nonlinear phenomena and properties (kinetic and dynamic processes, mass and heat transfer) -- Temperature jump and weak evaporation in a poly-atomic gas -- Evolution of the dynamic dissipative systems as a
temporal “colour” fractal -- Existence of solutions and dynamical models of Chandrasekhar H-equations -- Fluid dynamic limit of the Boltzmann kinetic equation arising in the coagulation—fragmentation dynamics -- Necessary and
sufficient conditions for solvability of the initial-boundary value transport problem -- Solitary waves in two-component resonantly absorbing media -- Nonlinear vector model of the internal DNA dynamics -- The dynamics of the economic
society structure -- Mathematical model for the heat mass transfer in the systems with the nonlinear properties induced by the electromagnetic radiation -- Mathematical model nonlinear heat transfer in an inhomogeneous dispersible
system -- II. Numerical methods and computer simulations -- Unsteady viscous flow simulation based on QGD system -- Ecological after-effects numerical modelling under methane combustion -- Computer simulation of evaporation process
into the vacuum -- On oscillation and nonoscillation domains for difference Riccati equation -- III. Nonlinear phenomena in physics -- Dusty particle interaction in plasma placed in magnetic field -- Tunnel transport of electrons at
anharmonic accepting mode -- Atomic operator formalism of elementary gates for quantum computation and impurity-induced exciton quantum gates -- Nonlinear spin waves and magnet-acoustic resonance in the model of Heisenberg magnet --
Modeling of 2delectron field emission from silicon microcathode -- Echo-phenomenon in ferroelectric solid and liquid crystals -- Investigations of blistering in solids using stochastic model -- Electric potentials distribution for
particles located in solution -- Statement and solution of a boundary value problem in a model of a plasma generator as controlled system -- IV. Nonlinear models in chemical physics and physical chemistry -- Complex representation of
dynamics of coupled nonlinear oscillators -- Conducting channels structure and dielectric-metal switching stability in thin amorphous films -- Phenomenological description for process of multiple disintegration of solids under
intensive stress action such as compression & shear -- Vaporization and growth of aerosol particles, given internal heat release and radiant heat exchange -- Vaporization and growth of large and moderately large particles at
considerable differences of gaseous component concentrations -- Diffusive vaporization and growth of assembly ofN-large particles -- Analysis of the phenomenon of autoacceleration in free radical polymerization -- Quntum-chemical
models for the active centers of transition metals biologically active complexes. Interconnection of the active centers structure and the functions -- Relations between the properties of substances and their molecular structure:
phenomenological study of substituted methanes and their analogs
ISBN:9781461547990
Series:eBooks
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Keywords: Mathematics , Physical chemistry , Applied mathematics , Engineering mathematics , Mathematical models , Physics , Condensed matter , Mathematics , Mathematical Modeling and Industrial Mathematics , Applications of Mathematics , Physical Chemistry , Theoretical, Mathematical and Computational Physics , Condensed Matter Physics
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Call number:SPRINGER-1998-9781468400359:ONLINE Show nearby items on shelf
Title:Generalized Functions Theory and Technique
Author(s): Ram P Kanwal
Date:1998
Edition:Second Edition
Size:1 online resource (474 p.)
Note:10.1007/978-1-4684-0035-9
Contents:1. The Dirac Delta Function and Delta Sequences -- 1.1. The heaviside function -- 1.2. The Dirac delta function -- 1.3. The delta sequences -- 1.4. A unit dipole -- 1.5. The heaviside sequences -- Exercises -- 2. The Schwartz-Sobolev
Theory of distributions -- 2.1. Some introductory definitions -- 2.2. Test functions -- 2.3. Linear functionals and the Schwartz-Sobolev theory of distributions -- 2.4. Examples -- 2.5. Algebraic operations on distributions -- 2.6.
Analytic operations on distributions -- 2.7. Examples -- 2.8. The support and singular support of a distribution -- Exercises -- 3. Additional Properties of Distributions -- 3.1. Transformation properties of the delta distribution --
3.2. Convergence of distributions -- 3.3. Delta sequences with parametric dependence -- 3.4. Fourier series -- 3.5. Examples -- 3.6. The delta function as a Stieltjes integral -- Exercises -- 4. Distributions Defined by Divergent
Integrals -- 4.1. Introduction -- 4.2. The pseudofunction H(x)/xn, n = 1, 2, 3,... -- 4.3. Functions with algebraic singularity of order m -- 4.4. Examples -- Exercises -- 5. Distributional Derivatives of Functions with Jump
Discontinuities -- 5.1. Distributional derivatives in R1 -- 5.2. Moving surfaces of discontinuity in Rn, n ? 2 -- 5.3. Surface distributions -- 5.4. Various other representations -- 5.5. First-order distributional derivatives -- 5.6.
Second-order distributional derivatives -- 5.7. Higher-order distributional derivatives -- 5.8. The two-dimensional case -- 5.9. Examples -- 5.10. The function Pf(1/r) and its derivatives -- 6. Tempered Distributions and the Fourier
Transform -- 6.1. Preliminary concepts -- 6.2. Distributions of slow growth (tempered distributions) -- 6.3. The Fourier transform -- 6.4. Examples -- Exercises -- 7. Direct Products and Convolutions of Distributions -- 7.1. Definition
of the direct product -- 7.2. The direct product of tempered distributions -- 7.3. The Fourier transform of the direct product of tempered distributions -- 7.4. The convolution -- 7.5. The role of convolution in the regularization of
the distributions -- 7.6. The dual spaces E and E? -- 7.7. Examples -- 7.8. The Fourier transform of a convolution -- 7.9. Distributional solutions of integral equations -- Exercises -- 8. The Laplace Transform -- 8.1. A brief
discussion of the classical results -- 8.2. The Laplace transform distributions -- 8.3. The Laplace transform of the distributional derivatives and vice versa -- 8.4. Examples -- Exercises -- 9. Applications to Ordinary Differential
Equations -- 9.1. Ordinary differential operators -- 9.2. Homogeneous differential equations -- 9.3. Inhomogeneous differentational equations: the integral of a distribution -- 9.4. Examples -- 9.5. Fundamental solutions and Green’s
functions -- 9.6. Second-order differential equations with constant coefficients -- 9.7. Eigenvalue problems -- 9.8. Second-order differential equations with variable coefficients -- 9.9. Fourth-order differential equations -- 9.10.
Differential equations of nth order -- 9.11. Ordinary differential equations with singular coefficients -- Exercises -- 10. Applications to Partial Differential Equations -- 10.1. Introduction -- 10.2. Classical and generalized
solutions -- 10.3. Fundamental solutions -- 10.4. The Cauchy-Riemann operator -- 10.5. The transport operator -- 10.6. The Laplace operator -- 10.7. The heat operator -- 10.8. The Schrödinger operator -- 10.9. The Helmholtz operator --
10.10. The wave operator -- 10.11. The inhomogeneous wave equation -- 10.12. The Klein-Gordon operator -- Exercises -- 11. Applications to Boundary Value Problems -- 11.1. Poisson’s equation -- 11.2. Dumbbell-shaped bodies -- 11.3.
Uniform axial distributions -- 11.4. Linear axial distributions -- 11.5. Parabolic axial distributions, n = 5 -- 11.6. The fourth-order polynomial distribution, n = 7 spheroidal cavities -- 11.7. The polarization tensor for a spheroid
-- 11.8. The virtual mass tensor for a spheroid -- 11.9. The electric and magnetic polarizability tensors -- 11.10. The distributional approach to scattering theory -- 11.11. Stokes flow -- 11.12. Displacement-type boundary value
problems in elastostatistics -- 11.13. The extension to elastodynamics -- 11.14. Distributions on arbitrary lines -- 11.15. Distributions on plane curves -- 11.16. Distributions on a circular disk -- 12. Applications to Wave
Propagation -- 12.1. Introduction -- 12.2. The wave equation -- 12.3. First-order hyperbolic systems -- 12.4. Aerodynamic sound generation -- 12.5. The Rankine-Hugoniot conditions -- 12.6. Wave fronts that carry infinite singularities
-- 12.7. Kinematics of wavefronts -- 12.8. Derivation of the transport theorems for wave fronts -- 12.9. Propagation of wave fronts carrying multilayer densities -- 12.10. Generalized functions with support on the light cone -- 12.11.
Examples -- 13. Interplay Between Generalized Functions and the Theory of Moments -- 13.1. The theory of moments -- 13.2. Asymptotic approximation of integrals -- 13.3. Applications to the singular perturbation theory -- 13.4.
Applications to number theory -- 13.5. Distributional weight functions for orthogonal polynomials -- 13.6. Convolution type integral equation revisited -- 13.7. Further applications -- 14. Linear Systems -- 14.1. Operators -- 14.2. The
step response -- 14.3. The impulse response -- 14.4. The response to an arbitrary input -- 14.5. Generalized functions as impulse response functions -- 14.6. The transfer function -- 14.7. Discrete-time systems -- 14.8. The sampling
theorem -- 15. Miscellaneous Topics -- 15.1. Applications to probability and random processes -- 15.2. Applications to economics -- 15.3. Periodic distributions -- 15.4. Applications to microlocal theory -- References
ISBN:9781468400359
Series:eBooks
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Keywords: Mathematics , Partial differential equations , Functions of real variables , Special functions , Applied mathematics , Engineering mathematics , Mathematics , Applications of Mathematics , Partial Differential Equations , Real Functions , Special Functions
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Call number:SPRINGER-1997-9789401719506:ONLINE Show nearby items on shelf
Title:Interpretation of Classical Electromagnetism
Author(s): W. Geraint V Rosser
Date:1997
Size:1 online resource (426 p.)
Note:10.1007/978-94-017-1950-6
Contents:1. A Typical Conventional Development of Maxwell’s Equations -- 2. The Scalar Potential ? and the Vector Potential A -- 3. The Electric and Magnetic Fields due to an Accelerating Classical Point Charge -- 4. Development of Maxwell’s
Equations from the Expressions for the Electric and Magnetic Fields due to a Moving Classical Point Charge -- 5. Electric Fields due to Electrical Circuits -- 6. Magnetic Fields due to Electrical Circuits -- 7. Quasi-Stationary
Phenomena and AC Theory -- 8. Forces, Energy and Electromagnetic Momentum -- 9. Stationary Dielectrics and Stationary Magnetic Materials -- 10. Special Relativity and Classical Electromagnetism -- Appendix A. Mathematical Methods --
A1. A summary of the formulae of vector analysis -- A1.1. Scalar and vector products -- A1.2. The gradient of a scalar -- A1.3. The divergence of a vector -- A1.4. The curl of a vector -- A1.5. The Laplacian operator -- A1.6. Some
useful relations -- A1.7. Gauss’ mathematical theorem -- A1.8. Stokes’ theorem -- A1.9. Cylindrical coordinates -- A1.10. Spherical polar coordinates -- A2. The partial derivatives of macroscopic field variables -- A3. Some useful
mathematical relations -- A4. The corrections to the differential form of the Biot-Savart law for steady currents -- Appendix B. Conduction Current Flow in Stationary Conductors -- B 1. Example of the mode of action of a source of emf
-- B2. Location of the charge distributions associated with conduction current flow -- B3. Magnitudes of the surface and boundary charge distributions associated with conduction current flow -- B4. Models of conduction current flow in
a stationary conductor -- B5. Energy propagation in DC circuits -- Appendix C. The Electric and Magnetic Fields due to an Accelerating Classical Point Charge -- Cl. Introduction -- C2. Calculation of the electric field -- C3.
Calculation of the magnetic field -- Appendix E. The Transformations of Special. Relativity
ISBN:9789401719506
Series:eBooks
Series:SpringerLink (Online service)
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Series:Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 78
Keywords: Physics , Philosophy and science , Mathematics , Optics , Electrodynamics , Electrical engineering , Physics , Optics and Electrodynamics , Theoretical, Mathematical and Computational Physics , Electrical Engineering , Mathematics, general , History and Philosophical Foundations of Physics , Philosophy of Science
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Call number:SPRINGER-1996-9789401586504:ONLINE Show nearby items on shelf
Title:Lagrange and Finsler Geometry Applications to Physics and Biology
Author(s):
Date:1996
Size:1 online resource (280 p.)
Note:10.1007/978-94-015-8650-4
Contents:On Deflection Tensor Field in Lagrange Geometrics -- The Differential Geometry of Lagrangians which Generate Sprays -- Partial Nondegenerate Finsler Spaces -- Randers and Kropina Spaces in Geodesic Correspondence -- Deviations of
Geodesics in the Fibered Finslerian Approach -- Sasakian Structures on Finsler Manifolds -- A New Class of Spray-Generating Lagranians -- Some Remarks on Automorphisms of Finsler Bundles -- On Construction of Landsbergian
Characteristic Subalgebra -- Conservation Laws of Dynamical Systems via Lagrangians of Second Degree -- General Randers Spaces -- Conservation Laws Associated to Some Dynamical Systems -- Biodynamic Systems and Conservation Laws.
Applications to Neuronal Systems -- Computational Methods in Lagrange Geometry -- Phase Portraits and Critical Elements of Magnetic Fields Generated by a Piecewise Rectilinear Electric Circuit -- Killing Equations in Tangent Bundle --
Lebesgue Measure and Regular Mappings in Finsler Spaces -- On a Finsler Metric Derived from Ecology -- A Moor’s Tensorial Integration in Generalized Lagrange Spaces -- The Lagrange Formalism Used in the Modelling of “Finite Range”
Gravity -- On the Quantization of the Complex Scalar Fields in S3xR Space-Time -- Nearly Autoparallel Maps of Lagrange and Finsler Spaces -- Applications of Lagrange Spaces to Physics -- On the Differential Geometry of Nonlocalized
Field Theory: Poincaré Gravity
ISBN:9789401586504
Series:eBooks
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Series:Fundamental Theories of Physics : 76
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Differential geometry , Biomathematics , Physics , Mathematics , Differential Geometry , Theoretical, Mathematical and Computational Physics , Applications of Mathematics , Mathematical and Computational Biology
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Call number:SPRINGER-1994-9789401119382:ONLINE Show nearby items on shelf
Title:Physics on Manifolds Proceedings of the International Colloquium in honour of Yvonne Choquet-Bruhat, Paris, June 3–5, 1992
Author(s):
Date:1994
Size:1 online resource (366 p.)
Note:10.1007/978-94-011-1938-2
Contents:Table Des Matieres -- Relativistic dissipative fluids1 -- Mathematical problems related to liquid crystalssuperconductors andsuperfluide 11 -- Microcanonical action and the entropy of a rotating black hole23 -- Problèmede Cauchy sur
un cônoïde caractéristique. Applications à certains systèmes non linéaires d’origine physique35 -- Recent progress on the Cauchy problem in general relativity49 -- On some links between mathematical physics and physics in the context
ofgeneral relativity59 -- Functionalintegration.Amultipurpose tool67 -- Generalized frames of references and intrinsic Cauchy problem in general relativity93 -- Reducing Einstein’s equations to an unconstrainedHamiltonian system on the
cotangent bundle of Teichmüller space111 -- Darboux transformations for a class of integrable systems innvariables153 -- Group theoretical treatment offundamental solutions161 -- On the regularity properties of the wave equation177 --
Le problème de Cauchy linéaire et analytique pour un opérateur holomorphe et unsecond membre ramifié[Résumé] 193 -- On Boltzmann equation195 -- Star products and quantum groups203 -- On asymptotic of solutions of a nonlinear elliptic
equationin a cylindrical doma.i:r235 -- Fundamental physics in universal space-time253 -- Interaction of gravitational and electromagnetic waves in general relativity265 -- Anti-self dual conformal structures on 4-manifolds[Résumé] 289
-- Chaotic behavior in relativistic motion291 -- Some results on non constant mean curvature solutions ofthe Einstein constraint equations295 -- Levi condition for general systems -- Conditionsinvariantespour un systèmedu type
conditions de Levi 309 -- Black holes in supergravity -- Low-dimensional behaviour in the rotating driven cavity problem -- Some geometrical aspects of inhomogeneous elasticity -- Integrating the Kadomtsev-Petviashvili equation in the
1+3 dimensions via the generalised Monge-Ampère equation: an example of conditionedPainlevé test337 -- Spinning mass endowed with electric charge andmagnetic dipole moment347 -- Equations de Vlasov en théorie discrète353 -- Convexity
and symmetrization in classical and relativistic balance laws systems
ISBN:9789401119382
Series:eBooks
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Series:Mathematical Physics Studies : 15
Keywords: Mathematics , Functional analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Applied mathematics , Engineering mathematics , Physics , Mathematics , Applications of Mathematics , Physics, general , Theoretical, Mathematical and Computational Physics , Functional Analysis , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-1993-9783642524394:ONLINE Show nearby items on shelf
Title:Inverse Problems in Engineering Mechanics IUTAM Symposium Tokyo, 1992
Author(s):
Date:1993
Size:1 online resource (564 p.)
Note:10.1007/978-3-642-52439-4
Contents:List of Contents -- 1 Mathematical Aspects -- On Regularization Methods within System Identification -- New Approaches to the Optimal Regularization -- A Method for Solving Inverse Boundary-Value Problems Using Symbolic Computation --
An Application of the Fuzzy Control for an Ill-posed Problem -- Inverse Filtering for Reverberant Transfer Functions -- 2 Computational Aspects -- Classification of Inverse Problems Arising in Field Problems and Their Treatments -- A
Physically Based Method of Experimental Data-Concepts, Formulation and Application to Identification of Residual Stresses -- Inverse Problems for Vibrating Systems in Two and Three Dimensions -- Inverse Spectrum Problems for Block
Jacobi Matrix -- Parametric Correction of Finite Element Models Using Modal Tests -- Structural Defect Synthesis Using Noise-Frequency Response Characteristics for Coupled Acoustic-Structural System by Fuzzy Inference Method -- Inverse
Problem Solution in Non-destructive Pavement Diagnostics -Computational Aspects -- Inverse Formulation for Incompressible Viscous Two-Dimensional and Axisymmetric Flow Problems -- 3 Parameter Identification -- Requirements for the
Structure of Analytical Models Used for Parameter Identification -- Inverse Problem in Mechanics of Structures: a New Approach Based on Displacement Field Processing -- New Method for Determining Contact Pressure Disributions by Using
Caustic Images -- Estimation of Impact Force by an Inverse Analysis -- Optimality of Internal Structure and Identification of Unknown Load -- 4 Shape Determination and Optimization -- Shape Identification Using Acoustic Measurements: A
Numerical Investigation Using BIE and Shape Differentiation -- Shape Determination of a Scattering Obstacles by Eigenfunction Expansion Embedding Integral Method -- Indentification of Crack Shape Hidden in Solid by Means of Neural
Network and Computational Mechanics -- Approximate Recovery and Redesign of a Curved Surface Based on a Flattened Form -- Optimum Design of a Sound-Insulating Wall by the Boundary Element Method -- Optimal Design of Cooling Lines of
Injection Mold Based on Boundary Element Design Sensitivity Analysis -- Efficient Shape Optimization Technique Based on Boundary Element Method -- 5 Material Property Characterization -- Inversion of Surface Acoustic Wave Data to
Determine the Elastic Constants of Nitride Films -- Inversion of Source, Material, and Defect Characteristics Using Guided Waves -- Inverse Problems Associated with Nondestructive Evaluation of Plasic Damages in Solids --
Identification Aspects of Inhomogeneous Materials -- A Parameter Identification Procedure as a Dual Boundary Control Concept for Wave-Propagation Problem -- Identification of Dynamic in Situ Soil Properties at Existing Structure Site
-- Characterization of the Damping Effect of a Vibrating System -- Identification of Parameters in Geomechanics Using a Maximum Likelihood Approach -- Identification Analysis of Distributed-Parameter Systems by Using Kalman
Filter-Boundary Element Method -- 6 Elastodynamic Inverse Problems -- Inverse Scattering for Flaw Type Classification -- Shape Inversion from Phase Shifts -- Determination of Shapes, Sizes and Material Compositions of Large Inclusions
in Elastic Media from Scattered Waves -- Estimation of Unknown Boundary Values by Inverse Analysis with Elastodynamic Boundary Element Method -- Source Inversion of High-Frequency Strong Motion Records in the Near-Source Region --
Optimum Strong-Motion Station-Array Geometry for Earthquake Source Studies -- 7 Ultrasonic Nondestructive Evaluation -- Neural Network Approach to the Inverse Problem of Crack- Depth Determination from Ultrasonic Backscattering Data --
Simulation of Directivity Synthesis for Ultrasonic Transducers -- Inversion Using Multi-Tip Echoes of Elastic Waves -- Surface Reconstruction of a Three-Dimensional Ultrasonic Flaw -- Generalized Ray Theory and Its Application to
Long-Distance Ultrasonic Testing -- A New Approach to Ultrasonic Image Reconstruction -- 8 Thermal Inverse Problems -- Identification of Heat Conduction Coefficient: Application to Nondestructive Testing -- Determination of Void
Shapes, Sizes, Numbers and Locations Inside an Object with Known Surface Temperatures and Heat Fluxes -- Determination of Time Dependence of Temperature in the Inner Surface of a Cylinder by Measured Informations on the Outer Surface
-- Transfer Function Approach for Solving Inverse Heat Conduction Problems in Piping Using Experimental Data -- A Method for Disbond Detection in Thermal Tomography by Domain Decomposition Method -- 9 Other Engineering Applications --
Inverse Problem Approach Based on the Kalman Filtering and Its Applications -- The Thin Shell Approach for Some 3D Engineering Inverse Problems -- Inverse Analysis for Estimating Galvanic Corrosion Rate -- Estimation of an Electric
Orbit Using Super-Potentials of Lienard-Wiechert Potentials
ISBN:9783642524394
Series:eBooks
Series:SpringerLink (Online service)
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Keywords: Engineering , Applied mathematics , Engineering mathematics , Mechanics , Mechanics, Applied , Engineering , Theoretical and Applied Mechanics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-1991-9789400907034:ONLINE Show nearby items on shelf
Title:Proceedings of the Fourth European Conference on Mathematics in Industry
Author(s):
Date:1991
Size:1 online resource (448 p.)
Note:10.1007/978-94-009-0703-4
Contents:Invited Lectures -- On a Mathematical Model for the Crystallization of Polymers -- Remarks on New Mathematical Problems Arising in the Context of Information Technology -- Time Division Multiple Access Systems and Matrix Decomposition
-- Fresh Breeze around the Ivory Tower — Current Trends in Austrian Higher Education -- Determination of the Transient Thermal Behaviour of Thyristors with Cooling Devices (abstract) -- Mathematics for Industry -- Mathematical Problems
in Research at HILTI -- Minisymposium: Steel Processing -- Water Droplet Cooling of Galvanised Iron -- A Mathematical Model for the Calculation of Cooling Criteria for Round Bloom -- Automatic Secondary Cooling Control for the
Continuous Casting Process of Steel -- Some Problems of Identification and Control Arising from Cooling Rolled Wires -- Minisymposium: Chemical Engineering -- Numerical Simulation of Emulsion Liquid Membrane Permeation -- The Lay-out
of Reactive Extractors -- The Simulation of a Co-Current Bubble Reactor -- A Numerical Model for Calculation of a Counter Current Heat Exchanger -- Contributed Lectures -- Modelling Oxygen Supply in Spheroids of Tumor Cells -- On a
Numerical Method for Variable Heat Flow through External Walls -- Optimization of a Solar Domestic Hot-Water System -- The Fluttering of Fibres in Airspinning Processes -- A Numerical Model for Electromagnetic Casters -- On Consistent
Initialization of Differential-Algebraic Equations with Discontinuities -- On the Generation of Optical Solitons -- Mathematical Models for the Diffusion of Innovations -- Image Segmentation by Minimum Information Loss (abstract) -- A
Brief Mathematical Analysis of Electrochemical Machining Problems -- A Mathematical Model for the Production of Bimetallic Strip -- Computing Guaranteed Error Bounds for Problems in Renewal Theory -- Threshold Accepting Algorithms for
0–1 Knapsack Problems -- Digital Topology in Document Processing -- Modelling the Rheology of a Coal-Water Slurry -- Nonorthogonal Expansions of Signals and Some of their Applications (abstract) -- Two-Phase Flow Methodology and
Modelling -- Maximum Expected Information (MEI) Discretization Method for Spatial Data Analysis (abstract) -- Automatic Mesh Generation for 3D Domains with Application in Fluid Mechanics, Structures, Electrotechnics and Aerospace
Problems -- Quality Control of Artificial Fabrics (abstract) -- Developing a Unidimensional Simulation Model for Producing Silicon in an Electric Furnace -- Numerical Study of the Nonlinear Barotropic Instability of Rossby Wave Motion
-- The Method of Region Analysis and its Application for Optimal Control Problems of Hydroelectric Power Plants -- Stochastic Modelling of the Dielectric Relaxation in Condensed Matter (abstract) -- A Calculation and Contour Plotting
System for Flame Temperatures -- On the Taper Curves in the Forest Industry -- Analytical Three-Dimensional Stress Distribution in the Healthy Hip Joint -- Torsional Vibrations in a Crank Shaft -- An Adaptive Finite Element Method for
Stefan Problems -- The Theoretical Ecology of Coccidia with Reference to Poultry Production -- A Dynamic Two-Phase Flow Model for a Purification Plant -- Exchange of Parametric Curve and Surface Geometry between Computer Aided Design
Systems -- Fairing of Ship Lines with Mechanical Splines -- Numerical Simulation of the Stretching Behavior of Polymeric Liquids by Nonlinear Volterra Integrodifferential Equations with Boundary Conditions -- 3-D-Fitting of Blades and
Vanes -- Development of a Method for Electrical Load Forecasting and its Implementation Using Expert System Techniques -- Fibre Drying -- Optimal Extension of a System of Hydro Energy Storage Plants -- Modelling Separated Flows -- On
the Impact of Rigid Bodies with Small Deadrise Angle onto Inviscid, Incompressible Fluid -- B-Spline Library for Mathematical Modelling and Solving of Scientific and Industrial Problems
ISBN:9789400907034
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:European Consortium for Mathematics in Industry : 6
Keywords: Mathematics , Chemical engineering , System theory , Mathematical models , Applied mathematics , Engineering mathematics , Mechanical engineering , Mathematics , Mathematical Modeling and Industrial Mathematics , Systems Theory, Control , Appl.Mathematics/Computational Methods of Engineering , Mechanical Engineering , Industrial Chemistry/Chemical Engineering
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Call number:SPRINGER-1991-9781468474794:ONLINE Show nearby items on shelf
Title:New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena The Geometry of Nonequilibrium
Author(s):
Date:1991
Size:1 online resource (3 p.)
Note:10.1007/978-1-4684-7479-4
Contents:Pattern Formation -- Chemical Waves -- Chemical Waves in Oscillatory Media -- Pattern Dynamics by Interaction of Chemical Waves and Hydrodynamic Flows -- Sustained Non-Equilibrium Patterns in a One-Dimensional Reaction-Diffusion
Chemical System -- Materials Instabilities -- Pattern Selection and Symmetry Competition in Materials Instabilities -- Numerical Simulation of Persistent Slip Band Formation -- Rayleigh-Benard Convection -- Transitions to More Complex
Patterns in Thermal Convection -- Rayleigh-Benard Convection at Finite Rayleigh Number in Large Aspect Ratio Boxes -- Transition Between Different Symmetries in Rayleigh-Benard Convection -- Traveling Waves -- Nonlinear Analysis of
Traveling Waves in Binary Convection -- Temporal Modulation of a Subcritical Bifurcation to Travelling Waves -- Experiments with Travelling Waves in Electrohydrodynamic Convection -- The Degenerate Amplitude Equation Near the
Codimension-2 Point in Binary Fluid Convection -- Travelling Waves in Axisymetric Convection -- About Confined States, Noise-Sustained Structures and Slugs -- Localized Structures Generated by Subcritical Instabilities:
Counterpropagating Waves -- Other Areas of Interest -- From the Chaos to Quasiregular Patterns -- Interfacial Instabilities and Waves in the Presence of a Transverse Electric Current -- Modulated Taylor Vortex Flow -- Recent Results on
the Non-Linear Dynamics of Curved Premixed Flames -- Defects and Spatio-Temporal Complexity -- Patterns and Defects in Liquid Crystals -- Defects and Transition to Disorder in Space-Time Patterns of Non-Linear Waves -- Defect-Mediated
Turbulence in Spatio-Temporal Patterns -- Mean Flows and the Onset of Time-Dependence in Convection -- Experiment on Pattern Evolution in the 2-D Mixing Layer -- A Two Dimensional Model of Pattern Evolution in Mixing Layers -- Some
Statistical Properties of Defects in Complex Ginzburg-Landau Equations -- Vortex Dynamics in a Coupled Map Lattice -- Spatio-Temporal Intermittency -- Spatio Temporal Intermittency in Rayleigh-Benard Convection in an Annulus --
Transition to Turbulence Via Spatiotemporal Intermittency: Modeling and Critical Properties -- Phase Turbulence, Spatiotemporal Intermittency and Coherent Structures -- Properties of Quasi One-Dimensional Rayleigh Benard Convection --
Probabilistic Cellular Automaton Models for a Fluid Experiment -- Space-Time Chaos and Coherent Structures in the Coupled Map Lattices -- Spatially-Developing Non-Equilibrium Systems -- Topological Defects in Vortex Streets Behind
Tapered Circular Cylinders at Low Reynolds Numbers -- Large-Eddy Simulation of a Three-Dimensional Mixing Layer -- The Effect of Nonlinearity and Forcing on Global Modes -- Mathematics of Non Equilibrium -- Mathematical Justification
of Steady Ginzburg-Landau Equation Starting from Navier-Stokes -- Non Linear Spatial Analysis: Application to the Study of Flows Subjected to Thermocapillary Effects -- Discretizations and Jacobian in Functional Integrals -- Homoclinic
Bifurcations in Ordinary and Partial Differential Equations -- Turbulence -- Large-Scale Vortex Instability in Helical Convective Turbulence -- Generation of Large Scale Structures in Three-Dimensional Anisotropie Incompressible Flow
Lacking Parity-Invariance -- A New Universal Scaling for Fully Developed Turbulence: The Distribution of Velocity Increments -- Vortex Dynamics and Singularities in the 3-D Euler Equations -- Growth Phenomena -- Directional Growth in
Viscous Fingering -- New Results in Dendritic Crystal Growth -- Microstructural Transitions During Directional Solidification of a Binary Alloy -- Nonstationary Cell Shapes in Directional Solidification
ISBN:9781468474794
Series:eBooks
Series:SpringerLink (Online service)
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Series:NATO ASI Series, Series B: Physics: 237
Keywords: Engineering , Physics , Applied mathematics , Engineering mathematics , Engineering , Appl.Mathematics/Computational Methods of Engineering , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-1990-9789400906297:ONLINE Show nearby items on shelf
Title:Proceedings of the Third European Conference on Mathematics in Industry
Author(s):
Date:1990
Size:1 online resource (564 p.)
Note:10.1007/978-94-009-0629-7
Contents:Invited Speakers -- On non-linear magnetostatics: dual-complementary models and “mixed” numerical methods -- Modeling for field-effect transistors -- Supercomputers — 1988 -- Simulated annealing: theory of the past, practice of the
future? -- Domain decomposition for a generalized Stokes problem -- Mathematical simulation and optimization of chemical plants -- Mini-Symposium 1 -- Numerically intensive computing -- Fomulation of a sea model with continuous density
stratification in the vertical -- Electroplating simulation -- Elastic modelling on the IBM 3090 vector multiprocessor -- Solving a model interface problem for the Laplace operator by boundary collocation and applications --
Mini-Symposium 2 -- On flow-induced vibrations of overhead transmission lines -- Non-linear free vibrations of coupled spans of suspended cables -- Vibrations of overhead transmission lines: computations and experiments -- On the
modeling of a continuous oscillator by oscillators with a finite number of degrees of freedom -- Mini-Symposium 3 -- Some novel partial differential equations problems arising in industry -- Modeling coronas and space charge phenomena
-- Temperature surges in thermistors -- Mixed hyperbolic-elliptic systems in industrial problems -- Contributed Papers -- Linear and non-linear approximation of power density spectra with linear dynamical filter systems -- Modelling
software reliability from run-time data -- Software simulation of model reference adaptive control systems -- Effective length of an ultrafiltration device -- Truncated sequential tests for material control problems -- On the
approximation of free vibration modes of a general thin shell application to turbine blades -- Integration algorithms for the dynamic simulation of production processes -- Multicomponent flow computation with application to steam
condensers -- Natural convection within a droplet as a result of a chemical reaction on its surface -- Unwanted compartment fires: zone modelling the onset of hazardous conditions -- A tree search approach based on an assignment
relaxation for the solution of set covering problems -- Making a workpiece with spiral turns by means of forming cutters -- State variables feedback control of stepping motors with flexible shaft -- Application of mathematics to heat
processing in the meat industry -- Numerical modelling of conjugate heat transfer in an advanced gas-cooled reactor fuelstandpipe -- Restoration of NMR images -- An on-line augmented price correction technique for hierarchical control
of interconnected industrial processes -- A least-squares fitting technique for use with large non-linear plant models -- Spline approximation of offset curves and offset surfaces -- Diffusion flame ignition by a recirculating flow --
On the real-time simulation and control of the continuous casting process -- Simulation of VLSI circuits: relaxation techniques -- Development of models for flashing two-phase jet releases from pressurised containment -- Robust
recursive estimation: the Lp approach -- Numerical approximation of free boundary problems in polymer crystallization -- Ignition/extinction phenomena: an investigation of parametric sensitivity for a strongly non-linear
reaction-diffusion system -- On the methods for optimal shape design -- Steady-state optimization of large gas networks -- Modelling and control of acid-base blending systems -- The prediction of cyclic plastic strain growth behaviour
for severe thermal loading problems in structural engineering using upper bound methods and linear programming -- Three problems in the integration of electric circuits by ROW-type methods -- Controller design for industrial multipass
processes -- Computer-integrated production-planning and inventory-control at an automobile-engine producer -- Numerical solution of a liquid crystal problem by optimization -- LACTEO: A dairy management and forecasting system --
Identification of amplitude and phase discontinuities in the intensity signal of a Nd-YAG solid state laser -- Gel electrophoresis and graph matching -- Mathematical models of silicon chip fabrication -- On a partial
integro-differential equation related to the dynaliser concept for industrial rubber materials
ISBN:9789400906297
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:European Consortium for Mathematics in Industry : 5
Keywords: Mathematics , Mathematical models , Engineering , Mathematics , Mathematical Modeling and Industrial Mathematics , Engineering, general
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Call number:SPRINGER-1989-9783662221433:ONLINE Show nearby items on shelf
Title:Matroid Theory and its Applications in Electric Network Theory and in Statics
Author(s): András Recski
Date:1989
Size:1 online resource (533 p.)
Note:10.1007/978-3-662-22143-3
Contents:ONE -- 1 Basic concepts from graph theory -- 2 Applications -- 3 Planar graphs and duality -- 4 Applications -- 5 The theorems of König and Menger -- 6 Applications -- TWO -- 7 Basic concepts in matroid theory -- 8 Applications -- 9
Algebraic and geometric representation of matroids -- 10 Applications -- 11 The sum of matroids I -- 12 Applications -- 13 The sum of matroids II -- 14 Applications -- 15 Matroids induced by graphs -- 16 Applications -- 17 Some recent
results in matroid theory -- 18 Applications -- Appendix 1 Some important results in chronological order -- Appendix 2 List of the Boxes -- Appendix 3 List of the Algorithms -- Appendix 4 Solutions to the Exercises and Problems
ISBN:9783662221433
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algorithms and Combinatorics: 6
Keywords: Mathematics , Geometry , Topology , Combinatorics , Applied mathematics , Engineering mathematics , Electrical engineering , Mathematics , Combinatorics , Geometry , Topology , Appl.Mathematics/Computational Methods of Engineering , Electrical Engineering
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Call number:SPRINGER-1988-9783642489419:ONLINE Show nearby items on shelf
Title:Field Theory Concepts Electromagnetic Fields Maxwell’s Equations grad, curl, div. etc. Finite-Element Method Finite-Difference Method Charge Simulation Method Monte Carlo Method
Author(s): Adolf J Schwab
Date:1988
Size:1 online resource (218 p.)
Note:10.1007/978-3-642-48941-9
Contents:1 Elementary Concepts of Electric and Magnetic Fields -- 1.1 Flux and Flux Density of Vector Fields -- 1.2 Equations of Matter — Constitutive Relations -- 2 Types of Vector Fields -- 2.1 Electric Source Fields -- 2.2 Electric and
Magnetic Vortex Fields -- 2.3 General Vector Fields -- 3 Field Theory Equations -- 3.1 Integral Form of Maxwells Equations -- 3.2 Law of Continuity in Integral Form Source Strength of Current Density Fields -- 3.3 Differential Form of
Maxwell’s Equations -- 3.4 Law of Continuity in Differential Form Source Density of Current Density Fields -- 3.5 Maxwell’s Equations in Complex Notation -- 3.6 Integral Theorems of Stokes and Gauss -- 3.7 Network Model of Induction --
4 Gradient, Potential, Potential Function -- 4.1 Gradient of a Scalar Field -- 4.2 Potential and Potential Function of Static Electric Fields -- 4.3 Development of the Potential Function from a Given Charge Distribution -- 4.4
Potential Equations -- 4.5 Electric Vector Potential -- 4.6 Vector Potential of the Conduction Field -- 5 Potential and Potential Function of Magnetostatic Fields -- 5.1 Magnetic Scalar Potential -- 5.2 Potential Equation for Magnetic
Scalar Potentials -- 5.3 Magnetic Vector Potential -- 5.4 Potential Equation for Magnetic Vector Potentials -- 6 Classification of Electric and Magnetic Fields -- 6.1 Stationary Fields -- 6.2 Quasi-Stationary Fields (Steady-State)
Fields -- 6.3 Nonstationary Fields, Electromagnetic Waves -- 7 Transmission-Line Equations -- 8 Typical Differential Equations of Electrodynamics and Mathematical Physics -- 8.1 Generalized Telegraphist’s Equation -- 8.2 Telegraphist’s
Equation with a, b>0 c=0 -- 8.3 Telegraphist’s Equation with a>0 b=0 c=0 -- 8.4 Telegraphist’s Equation with b>0 a=0 c=0 -- 8.5 Helmholtz Equation -- 8.6 Schroedinger Equation -- 8.7 Lorentz’s Invariance of Maxwell’s Equations -- 9
Numerical Calculation of Potential Fields -- 9.1 Finite-Element Method -- 9.2 Finite-Difference Method -- 9.3 Charge Simulation Method -- 9.4 Monte Carlo Method -- 9.5 General Remarks on Numerical Field Calculation -- A1 Units -- A2
Scalar and Vector Integrals -- A3 Vector Operations in Special Coordinate Systems -- A5 Complex Notation of Harmonic Quantities -- Literature
ISBN:9783642489419
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Field theory (Physics) , Electrical engineering , Mathematics , Field Theory and Polynomials , Electrical Engineering
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Call number:SPRINGER-1988-9781468454932:ONLINE Show nearby items on shelf
Title:Optimal Long-Term Operation of Electric Power Systems
Author(s): G. S Christensen
Date:1988
Size:1 online resource (324 p.)
Note:10.1007/978-1-4684-5493-2
Contents:1. Introduction -- 1.1. A Historical Survey -- 1.2. Hydro Plant Modeling for Long-Term Operation -- 1.3. Outline of the Book -- 2. Mathematical Optimization Techniques -- 2.1. Introduction -- 2.2. A Review of Matrices -- 2.3. Discrete
Variational Calculus -- 2.4. Discrete Maximum Principle -- 2.5. Dynamic Programming -- 2.6. Functional Analysis Optimization Technique -- 3. Long-Term Operation of Reservoirs in Series -- 3.1. Introduction -- 3.2. Problem Formulation
-- 3.3. The Problem Solution -- 4. Long-Term Operation of Multichain Power Systems -- 4.1. Introduction -- 4.2. Problem Formulation -- 4.3. The Aggregation Approach (Turgeon Approach) -- 4.4. Discrete Maximum Principle -- 4.5. A
Minimum Norm Approach, Linear Model -- 4.6. A Minimum Norm Approach, Nonlinear Model -- 5. Modeling and Optimization of a Multireservoir Power System for Critical Water Conditions -- 5.1. Introduction -- 5.2. Problem Formulation --
5.3. Nonlinear Storage Model -- 5.4. A Discrete Maximum Principle Approach (Linear Model) -- 5.5. Optimization of Power System Operation with a Specified Monthly Generation -- 6. Optimization of the Firm Hydro Energy Capability for
Hydroelectric Systems -- 6.1. Introduction -- 6.2. Nonlinear Programming Model (Hicks et al. Approach) -- 6.3. A Minimum Norm Approach -- 6.4. A Nonlinear Model (Minimum Norm Approach) -- 7. Long-Term Optimal Operation of Hydrothermal
Power Systems -- 7.1. Introduction -- 7.2. All-Thermal Power Systems -- 7.3. Optimal Scheduling of Hydrothermal Power Systems -- 7.4. Discrete Maximum Principle -- 7.5. Stochastic Nonlinear Programming -- 7.6. Aggregation with
Stochastic Dynamic Programming Approach -- 7.7. Aggregation-Decomposition Approach -- 7.8. A Minimum Norm Approach, Linear Storage-Elevation Model -- 7.9. A Minimum Norm Approach, Nonlinear Storage-Elevation Curve -- 7.10. Nuclear,
Hydrothermal Power Systems -- 7.11. General Comments -- 8. Conclusion -- 8.1. Summary -- 8.2. Future Work
ISBN:9781468454932
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Mathematical Concepts and Methods in Science and Engineering : 38
Keywords: Mathematics , Mathematical optimization , Electrical engineering , Mathematics , Optimization , Electrical Engineering
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Call number:SPRINGER-1986-9789400948020:ONLINE Show nearby items on shelf
Title:New Foundations for Classical Mechanics
Author(s): David Hestenes
Date:1986
Size:1 online resource (644 p.)
Note:10.1007/978-94-009-4802-0
Contents:1: Origins of Geometric Algebra -- 1–1. Geometry as Physics -- 1–2. Number and Magnitude -- 1–3. Directed Numbers -- 1–4. The Inner Product -- 1–5. The Outer Product -- 1–6. Synthesis and Simplification -- 1–7. Axioms for Geometric
Algebra -- 2: Developments in Geometric Algebra -- 2–1. Basic Identities and Definitions -- 2–2. The Algebra of a Euclidean Plane -- 2–3. The Algebra of Euclidean 3-Space -- 2–4. Directions, Projections and Angles -- 2–5. The
Exponential Function -- 2–6. Analytic Geometry -- 2–7. Functions of a Scalar Variable -- 2–8. Directional Derivatives and Line Integrals -- 3: Mechanics of a Single Particle -- 3–1. Newton’s Program -- 3–2. Constant Force -- 3–3.
Constant Force with Linear Drag -- 3–4. Constant Force with Quadratic Drag -- 3–5. Fluid Resistance -- 3–6. Constant Magnetic Field -- 3–7. Uniform Electric and Magnetic Fields -- 3–8. Linear Binding Force -- 3–9. Forced Oscillations
-- 3–10. Conservative Forces and Constraints -- 4: Central Forces and Two-Particle Systems -- 4–1. Angular Momentum -- 4–2. Dynamics from Kinematics -- 4–3. The Kepler Problem -- 4–4. The Orbit in Time -- 4–5. Conservative Central
Forces -- 4–6. Two-particle Systems -- 4–7. Elastic Collisions -- 4–8. Scattering Cross Sections -- 5: Operators and Transformations -- 5–1. Linear Operators and Matrices -- 5–2. Symmetric and Skewsymmetric Operators -- 5–3. The
Arithmetic of Reflections and Rotations -- 5–4. Transformation Groups -- 5–5. Rigid Motions and Frames of Reference -- 5–6. Motion in Rotating Systems -- 6: Many-Particle Systems -- 6–1. General Properties of Many-Particle Systems --
6–2. The Method of Lagrange -- 6–3. Coupled Oscillations and Waves -- 6–4. Theory of Small Oscillations -- 6–5. The Newtonian Many Body Problem -- 7: Rigid Body Mechanics -- 7–1. Rigid Body Modeling -- 7–2. Rigid Body Structure -- 7–3.
The Symmetrical Top -- 7–4. Integrable Cases of Rotational Motion -- 7–5. Rolling Motion -- 7–6. Impulsive Motion -- 8: Celestial Mechanics -- 8–1. Gravitational Forces, Fields and Torques -- 8–2. Perturbations of Kepler Motion -- 8–3.
Perturbations in the Solar System -- 8–4. Spinor Mechanics and Perturbation Theory -- 9: Foundations of Mechanics -- 9–1. Models and Theories -- 9–2. The Zeroth Law of Physics -- 9–3. Generic Laws and Principles of Particle Mechanics
-- 9–4. Modeling Processes -- Appendixes -- A Spherical Trigonometry -- B Elliptic Functions -- C Units, Constants and Data -- Hints and Solutions for Selected Exercises -- References
ISBN:9789400948020
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics, A New International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application : 15
Keywords: Physics , Applied mathematics , Engineering mathematics , Mechanics , Observations, Astronomical , Astronomy , Physics , Mechanics , Applications of Mathematics , Astronomy, Observations and Techniques
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Call number:SPRINGER-1985-9789400953680:ONLINE Show nearby items on shelf
Title:Selected Papers of Demetrios G. Magiros Applied Mathematics, Nonlinear Mechanics, and Dynamical Systems Analysis
Author(s):
Date:1985
Size:1 online resource (518 p.)
Note:10.1007/978-94-009-5368-0
Contents:I Applied Mathematics and Modelling -- II Nonlinear Mechanics -- 1. Subharmonic Oscillations and Principal Modes -- 12. Subharmonics of any order in case of nonlinear restoring force, pt. I. Proc. Athens Acad. Sci., V. 32 (1957):
77–85 [6] -- 13. Subharmonics of order one third in the case of cubic restoring force, pt. II. Proc. Athens Acad. Sci., V. 32 (1957): 101–108 [7] -- 14. Remarks on a problem of subharmonics. Proc. Athens Acad. Sci., V. 32 (1957):
143–146 [8] -- 15. On the singularities of a system of differential equations, where the time figures explicitly. Proc. Athens Acad. Sci., V. 32 (1957): 448–451 [9] -- 16. Subharmonics of any order in nonlinear systems of one degree of
freedom: application to subharmonics of order 1/3. Inf. and Control, V. 1, no. 3 (1958): 198–227 [10] -- 17. On a problem of nonlinear mechanics. Inf. and Control, V. 2, no. 3 (1959): 297–309 Also Proc. Athens Acad. Sci., V. 34 (1959):
238–242 [11] -- 18. A method for defining principal modes of nonlinear systems utilizing infinite determinants (I). Proc. Natl. Acad. Sci., U.S., V. 46, no. 12 (1960): 1608–1611 [14] -- 19. A method for defining principal modes of
nonlinear systems utilizing infinite determinants (II). Proc. Natl. Acad. Sci., U.S., V. 47, no. 6 (1961): 883–887 [15] -- 20. Method for defining principal modes of nonlinear systems utilizing infinite determinants. J. Math. Phys., V.
2, no. 6 (1961): 869–875 [17] -- 21. On the convergence of series related to principal modes of nonlinear systems. Proc. Acad. of Athens, V. 38 (1963): 33–36 [19] -- 2. Celestial and Orbital Mechanics -- 22. The motion of a projectile
around the earth under the influence of the earth’s gravitational attraction and a thrust. Proc. Athens Acad. Sci., V. 35 (1960): 96–103 [12] -- 23. The Keplerian orbit of a projectile around the earth, after the thrust is suddenly
removed. Proc. Athens Acad. Sci., V. 35 (1960): 191–202 [13] -- 24. On the convergence of the solution of a special two-body problem. Proc. Acad. of Athens, V. 38 (1963): 36–39 [20] -- 25. The impulsive force required to effectuate a
new orbit through a given point in space. J. Franklin Inst., V. 276, no. 6 (1963): 475–489 Proc. XIVth Intl. Astron. Congress, Paris, 1963 [21] -- 26. Motion in a Newtonian forced field modified by a general force, (I). J. Franklin
Inst., V. 278, no. 6 (1964): 407–416 Proc. XVth Intl. Astron. Congress, Warsaw, 1964 [22] -- 27. Motion in a Newtonian force field modified by a general force (II). J. Franklin Inst., V. 278 (1964): 349–355. XVIth Int. Astron.
Congress, Athens, Greece (1965): [23] -- 28. Motion in a Newtonian force field modified by a general force, (III). Application: the entry problem (with G. Reehl). XVIIth Intl. Astron. Congress, Madrid (1966): 149–154 [26] -- 29. The
entry problem (with G. Reehl), Proc. Acad. of Athens, V. 41 (1966): 246–251 [27] -- III Dynamical Systems Analysis -- 1. Stability Analysis -- 30. On the stability definitions of dynamical systems. Proc. Natl. Acad. Sci. (U.S.), V. 53,
no. 6 (1965): 1288–1294 [24] -- 31. Stability concepts of dynamical systems. Inf. and Control, V. 9, no. 5 (1966): 531–548 [28] -- 32. Attitude stability of a spherical satellite (with A. J. Dennison). J. Franklin Inst., V. 286, no. 3
(1968): 193–203 Bull. Amer. Phys. Soc., ser. 2, V. 12, no. 3 (1967): p. 288 (Abstract) [33] -- 33. Stability concepts of solutions of differential equations with deviating arguments. Proc. Acad. of Athens, V. 46 (1971): 273–278 [42] --
34. Remarks on stability concepts of solutions of dynamical systems. Proc. Acad. of Athens, V. 49 (1974): 408–416 [44] -- 35. Stability Concepts of dynamical systems. Philadelphia: Genl. Electric Co., R.S.D., 1980 [54] -- 2.
Precessional Phenomena -- 36. On a class of precessional phenomena and their stability in the sense of Liapunov, Poincaré and Lagrange. Proc. VIIIth Intl. Symp. on Space, Tech. Sci., Tokyo (1969): 1163–1170 [35] -- 37. On the helicoid
precession: its stability and an application to a re-entry problem (with G. Reehl.). Proc. XXth Intl. Astron. Congress, Buenos Aires, Argentina (1969): 491–496 [37] -- 38. Orientation of the angular momentum vector of a space vehicle
at the end of spin-up. Proc. XXIInd Intl. Astron. Congress, Brussels, Belgium, 1971 [41] -- 39. The stability of a class of helicoid precessions in the sense of Liapunov and Poincaré. Proc. Acad. of Athens, V. 17 (1972): 102–110 [43]
-- 3. Separatrices of Dynamical Systems -- 40. On the separatrices of dynamical systems, Proc. Athens Acad. Sci., V. 54 (1979): 264–287 [52] -- 41. Separatrices of dynamical systems. Proc. IXth Conf. on Nonlinear Oscillations, Kiev.,
1981 (Yu.A. Mitropolsky, ed.), Ukrainian Acad. Sci. (Math. Inst.) Kiev. Naukova Dumka (1984): 280–287 -- Appendix: Papers in Russian -- Biographical note of D.G. Magiros -- Complete chronological list of Magiros’ publications --
Magiros’ unpublished works
ISBN:9789400953680
Series:eBooks
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Keywords: Mathematics , Dynamics , Ergodic theory , Applied mathematics , Engineering mathematics , Mathematical physics , Mathematics , Applications of Mathematics , Mathematical Applications in the Physical Sciences , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-1985-9783642932878:ONLINE Show nearby items on shelf
Title:Mathematics in Biology and Medicine Proceedings of an International Conference held in Bari, Italy, July 18–22, 1983
Author(s):
Date:1985
Size:1 online resource (528 p.)
Note:10.1007/978-3-642-93287-8
Contents:I. — Population Genetics and Ecology -- Invited Papers -- The role of diffusion in mathematical population biology: Skellam revisited -- The dynamics of structured populations: some examples -- Mathematical problems in the description
of age structured populations -- Contributed Papers -- Models for mutual attraction and aggregation of motile individuals -- A problem on invariant manifolds arising in population genetics -- On a mathematical problem arising in cell
population biology -- The external memory of intertidal molluscs:a theoretical study of trail-following -- Stationary distributions for populations subject to random catastrophes -- A nonlinear diffusion equation in phytoplankton
dynamics with self—shading effects -- A model of aphid population with age structure -- On two-population models with switching depletion -- On some nonlinear diffusion models in population dynamics -- Reduction of the gene Flow of a
“neutral” linked gene due to the partial sterility of heterozygotes for a chromosome mutation -- Predator-mediated coexistence of competing species in a Volterra model -- On a nonlinear problem arising from interaction of algae with
light -- II. — Epidemics -- Invited Papers -- Congenital rubella syndrome (C.R.S.): models of disease control by vaccination -- A simulation model for the control of helminth diseases by chemotherapy -- Models for endemic diseases --
Stochastic epidemics as point processes -- Contributed Papers -- A computer simulation program for the assessment of multistate epidemiological models of infectious diseases -- Mathematical model of hepatitis B -- Models of the
interaction of host genotypes and infectious disease -- On the general epidemic model in discrete time -- Control of virus transmission in age-structured populations -- Parameter estimation and validation for an epidemic model -- Local
stability in epidemic models for heterogeneous populations -- III. — Resource Management -- Invited Papers -- Bayesian methods in ecology and resource management -- Contributed Papers -- Stochastic differential equation models of
fisheries in an uncertain world: extinction probabilities, optimal fishing effort, and parameter estimation -- IV. — Physiology and Medicine -- Invited Papers -- Experiment designs identification of simple and complex models of
endocrine-metabolic systems -- A mathematical model for cardiac electric sources and related potential fields -- Mathematical analysis of immobilized enzyme systems -- Contributed Papers -- Modeling controls and variability of the cell
cycle -- The phase resetting characteristics of endogenously active neurones -- Theory of DNA superhelicity -- Determination of DNA synthesis rate in cell populations with locally exponential S-phase influx -- A numerical study for a
cell system -- Experimental validation of a mathematical procedure for the analysis of flow cytometric data -- A stochastic model for describing the space-time evolution of the extreme values of cardiac potentials on the chest surface
-- Statistical analysis of the coding capacity of complementary DNA strands -- Mass transport across multimembrane systems: a general analysis -- Time hierarchy in oscillating metabolic systems -- Modeling of the interaction between
ligands and cell membrane receptors in the presence of exogenous electric fields -- Balance of growth models of cell populations: the significance of simple mathematical considerations -- The age structure of populations of cells
reproducing by asymmetric division -- Numerical simulation of reentry of the activation wave in the heart hiss bundle -- Hopf bifurcation and the repetitive activity of excitable cells -- Nonlinear evolution equations with a
convolution term involved in some neurophysiological models -- Investigation of rapid metabolic reactions in whole organs by multiple pulse Labelling -- Cross-linking of identical particles by multiple ligand-types -- Enumeration of
RNA secondary structures by complexity -- Growth of cell populations -- V. — Compartmental Analysis -- Invited Papers -- A staging process with applications in biology and medicine -- On the use of residence time moments in the
statistical analysis of age-dependent stochastic compartmental systems -- An algorithm for reconstruction of count rate curves from total counts -- Contributed Papers -- On identifiability of linear compartmental systems: some results
obtained by means of structural properties of the associated graph -- Compartmental vs, noncompartmental modeling of ketone body kinetics -- Identifiability of compartmental models: on characterization of two extremal types of
input-output experiments -- VI. — General Mathematical Methods -- Invited Papers -- Estimation techniques for transport equations -- Stability of delay differential equations with applications in biology and medicine -- Existence of
quasi-solutions of systems of nonlinear elliptic BVP’s suggested by biochemical reactions -- Diffusion approximations and first passage time problems in population biology and neurobiology -- Contributed Papers -- The role of
exchangeability in biology, genetics and medicine -- Cyclic chemical systems: an asymptotic stability criterion -- On existence, uniqueness and attractivity of stationary solutions to some quasilinear parabolic systems -- Asymptotic
estimates for principal eigenvalues -- Remarks on the connection between positive feedback and instability in regard to model selection in population biology -- Lyapunov methods for a wide class of stochastic models in biology --
Existence and uniqueness for a non linear Cauchy problem of hyperbolic type -- Catastrophe theory in biology -- S-system analysis of biological systems
ISBN:9783642932878
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Biomathematics: 57
Keywords: Mathematics , Algebra , Applied mathematics , Engineering mathematics , Biomathematics , Mathematics , Applications of Mathematics , Algebra , Mathematical and Computational Biology
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