Fermilab Fermilab Core Computing Division

Library Home |  Ask a Librarian library@fnal.gov |  Book Catalog |  Library Journals |  Requests |  SPIRES |  Fermilab Documents |

Fermilab Library
SPIRES-BOOKS: FIND KEYWORD CALCULUS OF VARIATIONS *END*INIT* use /tmp/qspiwww.webspi1/11735.25 QRY 131.225.70.96 . find keyword calculus of variations ( in books using www Cover
Image
Call number:9783319465746:ONLINE Show nearby items on shelf
Title:Optimal Trajectory Tracking of Nonlinear Dynamical Systems
Author(s): Jakob Löber
Date:2017
Size:1 online resource (XIV, 243 p. 36 illus., 32 illus. in color p.)
Contents:Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diffusion System
ISBN:9783319465746
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Dynamics , Ergodic theory , Calculus of variations , Vibration , Dynamical systems , Physics , Applications of Nonlinear Dynamics and Chaos Theory , Calculus of Variations and Optimal Control Optimization , Vibration, Dynamical Systems, Control , Dynamical Systems and Ergodic Theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9789462391710:ONLINE Show nearby items on shelf
Title:Noether's Theorems Applications in Mechanics and Field Theory
Author(s): Gennadi Sardanashvily
Date:2016
Edition:1st ed. 2016
Size:1 online resource (297 p.)
Note:10.2991/978-94-6239-171-0
Contents:Calculus of variations on fibre bundles -- Noether’s first theorem -- Lagrangian and Hamiltonian field theories -- Lagrangian and Hamiltonian nonrelativistic mechanics -- Global Kepler problem -- Calculus of variations on graded bundles -- Noe ther’s second theorems -- Yang–Mills gauge theory on principal bundles -- SUSY gauge theory on principal graded bundles -- Gauge gravitation theory on natural bundles -- Chern–Simons topological field theory -- Topological BF theory
ISBN:9789462391710
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Atlantis Studies in Variational Geometry: 3
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Mathematical physics , Mechanics , Mathematics , Global Analysis and Analysis on Manifolds , Mechanics , Mathematical Applications in the Physical Sciences
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319389905:ONLINE Show nearby items on shelf
Title:Fundamentals and Advanced Techniques in Derivatives Hedging
Author(s): Bruno Bouchard
Date:2016
Size:1 online resource (280 p.)
Note:10.1007/978-3-319-38990-5
Contents:Part A. Fundamental theorems -- Discrete time models -- Continuous time models -- Optimal management and price selection -- Part B. Markovian models and PDE approach -- Delta hedging in complete market -- Super-replication and its practical limits -- Hedging under loss contraints -- Part C. Practical implementation in local and stochastic volatility models -- Local volatility models -- Stochastic volatility models -- References
ISBN:9783319389905
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Partial differential equations , Economics, Mathematical , Calculus of variations , Probabilities , Mathematics , Quantitative Finance , Probability Theory and Stochastic Processes , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319389455:ONLINE Show nearby items on shelf
Title:The Early Period of the Calculus of Variations
Author(s): Paolo Freguglia
Date:2016
Size:1 online resource (293 p.)
Note:10.1007/978-3-319-38945-5
Contents:Preface -- Some Introductory Material -- The Brachystochrone Problem: Johann and Jakob Bernoulli -- Isoperimetrical Problems: Jakob and Johann Bernoulli -- Shortest Lines and Geodesics -- Euler's Memoirs of 1738 and 1741 -- Euler's Method us Inveni endi -- Lagrange's δ-Calculus -- Bibliography -- Index of Names -- Subject Index
ISBN:9783319389455
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Calculus of variations , Mathematics , History of Mathematical Sciences , Calculus of Variations and Optimal Control Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319332550:ONLINE Show nearby items on shelf
Title:Approximate Solutions of Common Fixed-Point Problems
Author(s): Alexander J Zaslavski
Date:2016
Size:1 online resource (454 p.)
Note:10.1007/978-3-319-33255-0
Contents:1.Introduction -- 2. Dynamic string-averaging methods in Hilbert spaces -- 3. Iterative methods in metric spaces -- 4. Dynamic string-averaging methods in normed spaces -- 5. Dynamic string-maximum methods in metric spaces -- 6. Spaces with general ized distances -- 7. Abstract version of CARP algorithm -- 8. Proximal point algorithm -- 9. Dynamic string-averaging proximal point algorithm -- 10. Convex feasibility problems -- 11. Iterative subgradient projection algorithm -- 12. Dynamic string-avera ging subgradient projection algorithm.– References.– Index.
ISBN:9783319332550
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 112
Keywords: Mathematics , Operator theory , Numerical analysis , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Numerical Analysis , Operator Theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319312811:ONLINE Show nearby items on shelf
Title:Mathematical Analysis, Approximation Theory and Their Applications
Author(s):
Date:2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-31281-1
Contents:A brief history of the Favard operator and its variants -- Bivariate extension of linear positive operators -- Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives -- The retraction-displacement condition in the theo ry of fixed point equation with a convergent iterative algorithm -- An adaptive finite element method for solving a free boundary problem with periodic boundary conditions in lubrication theory -- Evolution solutions of equilibrium problems - a computatio nal approach -- Cantor, Banach and Baire theorems in generalized metric spaces -- A Survey of Perturbed Ostrowski Type Inequalities -- Hyers-Ulam-Rassias stability of the generalized Wilson’s functional equation -- Approximation under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane -- On the asymptotic behavior of sequences of positive linear approximation operators -- Approximation of functions by additive and by quadratic mappings -- Bernstein Type
Inequalities concerning Growth of Polynomials -- Approximation for generalization of Baskakov-Durrmeyer operators -- A Tour on p (x)-Laplacian Problems When p = ∞ -- An umbral calculus approach to Bernoulli-Padé polynomials -- Hadamard Matrices: Insights into their growth factor and determinant computations -- Localized summability kernels for Jacobi expansions -- Quadrature rules with multiple nodes -- A -summability of sequences of linear conservative operators -- Simultaneous Weighted Approxim ation with Multivariate Baskakov-Schurer Operators -- Approximation of Discontinuous Functions by q-Bernstein Polynomials -- Nests, and their Role in the Orderability Problem -- Resolvent Operators for Some Classes of Integro-Differential Equations -- Com ponent Matrices of a Square Matrix and their Properties -- Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators -- A modified pointwise estimate on simultaneous
approximation by Bernstein polynomials -- Structural Fixed Point Results in Metric Spaces -- Models of Fuzzy Linear Regression: An Application in Engineering -- Properties of Functions of generalized bounded variations
ISBN:9783319312811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 111
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Special functions , Computer mathematics , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Operator Theory , Special Functions , Global Analysis and Analysis on Manifolds , Computational Mathematics and Numerical Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319309217:ONLINE Show nearby items on shelf
Title:Numerical Optimization with Computational Errors
Author(s): Alexander J Zaslavski
Date:2016
Size:1 online resource (304 p.)
Note:10.1007/978-3-319-30921-7
Contents:1. Introduction -- 2. Subgradient Projection Algorithm -- 3. The Mirror Descent Algorithm -- 4. Gradient Algorithm with a Smooth Objective Function -- 5. An Extension of the Gradient Algorithm -- 6. Weiszfeld's Method -- 7. The Extragradient Method for Convex Optimization -- 8. A Projected Subgradient Method for Nonsmooth Problems -- 9. Proximal Point Method in Hilbert Spaces -- 10. Proximal Point Methods in Metric Spaces -- 11. Maximal Monotone Operators and the Proximal Point Algorithm -- 12. The Extragradient Method for Solving Variational Inequalities -- 13. A Common Solution of a Family of Variational Inequalities -- 14. Continuous Subgradient Method -- 15. Penalty Methods -- 16. Newton's method -- References -- Index.
ISBN:9783319309217
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 108
Keywords: Mathematics , Numerical analysis , Calculus of variations , Operations research , Management science , Mathematics , Calculus of Variations and Optimal Control Optimization , Numerical Analysis , Operations Research, Management Science
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319307855:ONLINE Show nearby items on shelf
Title:Advances in Mathematical Modeling, Optimization and Optimal Control
Author(s):
Date:2016
Size:1 online resource (15 p.)
Note:10.1007/978-3-319-30785-5
ISBN:9783319307855
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 109
Keywords: Mathematics , Image processing , Operator theory , Computer mathematics , Calculus of variations , Biomedical engineering , Mathematics , Calculus of Variations and Optimal Control Optimization , Biomedical Engineering , Image Processing and Computer Vision , Operator Theory , Computational Mathematics and Numerical Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319287393:ONLINE Show nearby items on shelf
Title:Nonlocal Diffusion and Applications
Author(s): Claudia Bucur
Date:2016
Size:1 online resource (23 p.)
Note:10.1007/978-3-319-28739-3
Contents:Introduction -- 1 A probabilistic motivation.-1.1 The random walk with arbitrarily long jumps -- 1.2 A payoff model.-2 An introduction to the fractional Laplacian.-2.1 Preliminary notions -- 2.2 Fractional Sobolev Inequality and Generalized Coarea F ormula -- 2.3 Maximum Principle and Harnack Inequality -- 2.4 An s-harmonic function -- 2.5 All functions are locally s-harmonic up to a small error -- 2.6 A function with constant fractional Laplacian on the ball -- 3 Extension problems -- 3.1 Water wave model -- 3.2 Crystal dislocation -- 3.3 An approach to the extension problem via the Fourier transform -- 4 Nonlocal phase transitions -- 4.1 The fractional Allen-Cahn equation -- 4.2 A nonlocal version of a conjecture by De Giorgi -- 5 Nonlocal minimal surfaces -- 5.1 Graphs and s-minimal surfaces -- 5.2 Non-existence of singular cones in dimension 2 5.3 Boundary regularity -- 6 A nonlocal nonlinear stationary Schrödinger type equation -- 6.1 From the nonlocal Uncertainty Principle to a
fractional weighted inequality -- Alternative proofs of some results -- A.1 Another proof of Theorem A.2 Another proof of Lemma 2.3 -- References
ISBN:9783319287393
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 20
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Partial differential equations , Calculus of variations , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization , Integral Transforms, Operational Calculus , Functional Analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319275178:ONLINE Show nearby items on shelf
Title:Simulation-Driven Modeling and Optimization ASDOM, Reykjavik, August 2014
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (51 p.)
Note:10.1007/978-3-319-27517-8
Contents:Numerical Aspects of Model Order Reduction for Gas Transportation Networks (Grundel, S., Hornung, N. & Roggendorf, S.) -- Parameter Studies for Energy Networks with Examples from Gas Transport (Clees, T.) -- Fast Multi-Objective Aerodynamic Optimiza tion Using Space-Mapping-Corrected Multi-Fidelity Models and Kriging Interpolation (Leifsson, L. et al.) -- Assessment of Inverse and Direct Methods for Airfoil and Wing Design (Zhang, M. & Rizzi, A.W.) -- Performance Optimization of EBG-Based Common Mode Filters for Signal Integrity Applications (Orlandi, A. et al.) -- Unattended Design of Wide-Band Planar Filters using a Two-Step Aggressive Space Mapping (ASM) Optimization Algorithm (Boria, V. et al.) -- Two-Stage Gaussian Process Modeling of Microwave Structures for Design Optimization (Jacobs, J.P. & Koziel, S.) -- Efficient Reconfigurable Microstrip Patch Antenna Modeling Exploiting Knowledge Based Artificial Neural Networks (Simsek, M. & Aoad, A.) -- Expedited Simulation-Driven
Multi-Objective Design Optimization of Quasi-Isotropic Dielectric Resonator Antenna (Bekasiewicz, A. et al.) -- Optimal Design of Photonic Crystal Nanostructures (Hassan, A.-K., Rafat, N. & Mohamed, A.S.A.) -- Design Optimization of LNAs and Reflect array Antennas using the Full-Wave Simulation based Artificial Intelligence Models with the Novel Metaheuristic Algorithms (Güneş, F., Demirel, S. & Nesil, S.) -- Stochastic Decision-Making in Waste Management Using a Firefly Algorithm-Driven Simulation -Optimization Approach for Generating Alternatives (Yeomans, J.S., Imanirad, R. & Yang, X.-S.) -- Linear and Nonlinear System Identification using Evolutionary Optimisation (Worden, K. et al.) -- A Surrogate-Model-Assisted Evolutionary Algorithm for Compu tationally Expensive Design Optimization Problems with Inequality Constraints (Liu, B., Zhang, Q. & Gielen, G.) -- Sobol Indices for Dimension Adaptivity in Sparse Grids (Dwight, R.P., Desmedt, S.G.L., & Omrani, P.S.).
ISBN:9783319275178
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 153
Keywords: Mathematics , Computer mathematics , Mathematical models , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Mathematical Modeling and Industrial Mathematics , Computational Science and Engineering
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319274850:ONLINE Show nearby items on shelf
Title:Elliptic Regularity Theory A First Course
Author(s): Lisa Beck
Date:2016
Size:1 online resource (201 p.)
Note:10.1007/978-3-319-27485-0
Contents:Preliminaries -- Introduction to the Setting -- The Scalar Case -- Foundations for the Vectorial Case -- Partial Regularity Results for Quasilinear Systems
ISBN:9783319274850
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 19
Keywords: Mathematics , Partial differential equations , Calculus of variations , Mathematics , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2016-9783319234250:ONLINE Show nearby items on shelf
Title:Stochastics of Environmental and Financial Economics Centre of Advanced Study, Oslo, Norway, 2014-2015
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (27 p.)
Note:10.1007/978-3-319-23425-0
Contents:Some recent developments in ambit stochastics -- Functional and Banach space stochastic calculi. Path-dependent Kolmogorov equations associated with the frame of a Brownian motion -- Nonlinear Young integrals via fractional calculus -- A weak limit theorem for numerical approximation of Brownian semi-stationary processes -- Non-elliptic SPDEs and ambit fields: existence of densities -- Dynamic risk measures and path-dependent second order PDEs -- Pricing CoCos with a market trigger -- Quantification of model risk in quadratic hedging in finance -- Risk-sensitive mean-field type control under partial observation -- Risk aversion in modeling of cap-and-trade mechanism and optimal design of emission markets -- Exponential ergodicity of the jump-diffusi on CIR process -- Optimal control of predictive mean-field equations and applications to finance -- Modelling the impact of wind power production on electricity prices by regime-switching Levy semistationary processes -- Pricing options on
EU ETS certificates with a time-varying market price of risk model
ISBN:9783319234250
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 138
Keywords: Mathematics , Partial differential equations , Game theory , System theory , Calculus of variations , Probabilities , Environmental economics , Mathematics , Systems Theory, Control , Probability Theory and Stochastic Processes , Environmental Economics , Game Theory, Economics, Social and Behav. Sciences , Partial Differential Equations , Calculus of Variations and Optimal Control Optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783319080345:ONLINE Show nearby items on shelf
Title:Stability of the Turnpike Phenomenon in Discrete-Time Optimal Control Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The structure of approximate solutions of autonomous discrete-time optimal control problems and individual turnpike results for optimal control problems without convexity (concavity) assumptions are examined in this book. Inparticular, the book focus es on the properties of approximate solutions which are independent of the length of the interval, for all sufficiently large intervals these results apply to the so-called turnpike property of the optimalcontrol problems. By encompassing the so-called tu rnpike property the approximate solutions of the problemsare determined primarily by the objective function and are fundamentally independent of the choice of interval and endpointconditions, except in regions close to the endpoints. This bookalso explore s the turnpike phenomenon for two large classes of autonomous optimal control problems. It is illustrated that the turnpike phenomenon is stable for anoptimal control problem if the corresponding infinite horizon optimal control problem possesses an asymp totic turnpike property. If an optimal control problem belonging to the first class possesses the turnpike property, then theturnpike is a singleton (unit set). The stability of the turnpike property under small perturbations of an objective function and of a constraint map is established. For the second class of problems where the turnpike phenomenon is notnecessarily a singleton the stability of the turnpike property under small perturbations of an objective function is established. Containing solutions of difficult problems in optimal controland presenting new approaches, techniquesand methods this book is of interest formathematiciansworking in optimal control and the calculus of variations.It also can be useful in preparation courses for graduate stu dents
Contents:1.Introduction
2. Optimal control problems with singleton
turnpikes
3. Optimal control problems with discounting
4. Optimal control problems with nonsingleton
turnpikes
References
ISBN:9783319080345
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783319060743:ONLINE Show nearby items on shelf
Title:Functional Analysis and Applied Optimization in Banach Spaces [electronic resource] : Applications to Non-Convex Variational Models
Author(s): Fabio Botelho
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physicsand engineering probl ems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation.Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dualapproach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in relatedfields
Contents:1. Topological Vector Spaces
2. The Hahn
Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
4.Basic Results on Measure and Integration
5. The Lebesgue Measure in Rn
6. Other Topics in Measure and Integration
7. Distributions
8. The Lebesque and Sobolev Spaces
9. Basic Concepts on the Calculus of Variations
10. Basic Concepts on Convex Analysis
11. Constrained Variational Analysis
12. Duality Applied to Elasticity
13. Duality Applied to a Plate Model
14. About Ginzburg
Landau Type Equations: The Simpler Real Case
15. Full Complex Ginzb
ISBN:9783319060743
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Numerical analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783319042145:ONLINE Show nearby items on shelf
Title:Analysis and Topology in Nonlinear Differential Equations [electronic resource] : A Tribute to Bernhard Ruf on the Occasion of his 60th Birthday
Author(s): Djairo G Figueiredo
Joo Marcos do
Carlos Tomei
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in Joo Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60thbirthday, is perceptibl e throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novelapplications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fullynonlinear equations and systems with different nonlinearities, at sub - and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusionproblems in mathematical genetics and finance and evolution equations related to electromechanic al devices
Contents:Preface
Asymptotic Behavior of Sobolev Trace Embeddings in Expanding Domains
Multiplicity of Positive Solutions for an Obstacle Problem in R
Elliptic Problems in Unbounded Cylinders
Basic Properties of Ultra functions
Multiple Radial Solutions at Resonance for Neumann Problems Involving the Mean Extrinsic Curvature Operator
Equivariant Bifurcation in Geometric Variational Problems
And many more
ISBN:9783319042145
Series:eBooks
Series:SpringerLink
Series:Progress in Nonlinear Differential Equations and Their Applications : v85
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical optimization , Topology
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9783319022314:ONLINE Show nearby items on shelf
Title:Strong and Weak Approximation of Semilinear Stochastic Evolution Equations [electronic resource]
Author(s): Raphael Kruse
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finiteelement methods with Eu ler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error ofconvergence in the first part of the book. The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution.This approach is based on Bismuts integration by parts formula and the Malli avin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergenceis proven for linear SEEq
Contents:Introduction
Stochastic Evolution Equations in Hilbert Spaces
Optimal Strong Error Estimates for Galerkin Finite Element Methods
A Short Review of the Malliavin Calculus in Hilbert Spaces
A Malliavin Calculus Approach to Weak Convergence
Numerical Experiments
Some Useful Variations of Gronwalls Lemma
Results on Semigroups and their Infinitesimal Generators
A Generalized Version of Lebesgues Theorem
References
Index
ISBN:9783319022314
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2093
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis , Distribution (Probability theory)
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2014-9781461486152:ONLINE Show nearby items on shelf
Title:Constructive Nonsmooth Analysis and Related Topics [electronic resource]
Author(s): Vladimir F Demyanov
Panos M Pardalos
Mikhail Batsyn
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. Thisconference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whosecontributions to NSA and NDO remain invaluable. The first f our chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 arerelated to nondifferentiable optimization, and the volume concludes with four ch apters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization:Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and imp ortant snapshots of the 50-year history of convex analysis and optimization
Contents:Constructive Noonsmooth Analysis and Related Topics (V. Demyanov, P.M. Pardalos, M. Batsyn)
Use Model Theory in Nonsmooth Analysis (S.S. Kutateladze)
Demyanov Difference in Infinite Dimensional Spaces (J. Grzybowski, D. Pallaschke, R. Urbanski)
Separable Reduction of Metric Regularity Properties (A.D. Ioffe)
Construction of Pairs of Reproducing Kernel Banach Spaces (P.G. Georgiev, L. Sanchez
Gonzalez, P.M. Pardalos)
On the Regularization Method in Nondifferentiable Optimization Applied to Hemivariational Inequalities (N. Ovcharova, J. Gwinner)
Dynamics and Optimization of Mul
ISBN:9781461486152
Series:eBooks
Series:SpringerLink
Series:Springer Optimization and Its Applications, 1931-6828 : v87
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Algorithms , Computer science , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9788847028418:ONLINE Show nearby items on shelf
Title:Geometric Properties for Parabolic and Elliptic PDE's [electronic resource]
Author(s): Rolando Magnanini
Shigeru Sakaguchi
Angelo Alvino
Date:2013
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understoodquite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad andwell-established research area, with contributions tha t often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name afew. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulatingfuture developments and perspectives in this very active area of research
Note:Springer eBooks
Contents:Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy
Rellich type inequalities involving the L2
norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
Lorenzo Brasco and Rolando Magnanini, The heart of a convex set
Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals
Adele Ferone, Kato's inequality in the half space: an alternative proof and relative i
ISBN:9788847028418
Series:e-books
Series:SpringerLink (Online service)
Series:Springer INdAM Series, 2281-518X : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Discrete groups , Global differential geometry , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783642361753:ONLINE Show nearby items on shelf
Title:quations aux drives partielles elliptiques non linaires [electronic resource]
Author(s): Herve Le Dret
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Cet ouvrage est issu dun cours de Master 2 enseign lUPMC entre 2004 et 2007. Nous y prsentons une slection de techniques mathmatiques orientes vers la rsolution des quations aux drives partielleselliptiques semi-linaires et quasi-linaires. Aprs un v ade-mecum d'analyse relle et d'analyse fonctionnelle de base pour les EDP, sans dmonstrations pour les points les plus connus, nous parcourons ainsi les thormes depoint fixe classiques, les oprateurs de superposition dans les espaces de Lebesgue et de Sob olev, la mthode de Galerkin, les principes du maximum et la rgularit elliptique, nous faisons une excursion assez longue dans diversaspects du calcul des variations puis terminons par les oprateurs monotones et pseudo-monotones. Tout ceci est agrment dexe mples et chaque chapitre est complt d'un nombre dexercices qui crot essentiellement avec lenumro du chapitre, au fur et mesure que de nouveaux matriaux sont prsents. This book stems from lectures notes of a Master 2 class held at UPMC between 2004 and 20 07. A selection of mathematical techniques geared towards theresolution of semilinear and quasilinear elliptic partial differential equations is presented. After a short survival guide in basic real and functional analysis for PDEs, without proofs for the most well-known results, we walk throughthe classical fixed point theorems, the superposition operators in Lebesgue and Sobolev spaces, the Galerkin method, the maximum principles and elliptic regularity, we make a rather long foray into various aspects of the calculus ofvariations, and conclude with monotone and pseudo-monotone operators, by way of numerous examples. Each chapter is complemented by a number of exercises that grows with the chapter number as more and more material is madeavailable.
Note:Springer eBooks
Contents:Prface
Table des matires
Rappels danalyse relle et fonctionnelle
Thormes de point fixe et applications
Les oprateurs de superposition
La mthode de Galerkin
Principe du maximum, rgularit elliptique et applications
Calcul des variations et problmes quasi
linaires
Calcul des variations et points critiques
Oprateurs monotones et inquations variationnelles
ISBN:9783642361753
Series:e-books
Series:SpringerLink (Online service)
Series:Mathmatiques et Applications, 1154-483X : v72
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783540708568:ONLINE Show nearby items on shelf
Title:Ernst Zermelo - Collected Works/Gesammelte Werke II [electronic resource] : Volume II/Band II - Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung, Angewandte Mathematik und Physik
Author(s): Ernst Zermelo
Heinz-Dieter Ebbinghaus
Akihiro Kanamori
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Springer eBooks
ISBN:9783540708568
Series:e-books
Series:SpringerLink (Online service)
Series:Schriften der Mathematisch-naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften : v23
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Science History , Philosophy (General) , Computer science , Logic, Symbolic and mathematical
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783319012407:ONLINE Show nearby items on shelf
Title:Structure of Approximate Solutions of Optimal Control Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This titleexamines the structure of approximate solutions of optimal control problems considered on subintervals of a real line. Specifically at the properties of approximate solutions which are independent of the length of theinterval. The results i llustrated in this book look into the so-called turnpike property of optimal control problems. The author generalizes theresultsof the turnpike property by considering a class of optimal control problemswhich is identified with the corresponding complete metric space of objective functions.This establishes the turnpike property for any element in a set that is ina countable intersectionwhich is open everywhere dense sets in thespace of integrands meaning that the turnpike property holds for most optimal c ontrol problems. Mathematicians working in optimal control and the calculus of variations and graduate students will find this bookuseful and valuabledue to its presentation of solutions to a number of difficult problems in optimal controland presentation of new approaches, techniques and methods
Note:Springer eBooks
Contents:Preface
1.Introduction
2.Turnpike Properties of Optimal Control Problems
3.Infinite Horizon Problems
4.Linear Control Systems
References.
ISBN:9783319012407
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783319009360:ONLINE Show nearby items on shelf
Title:Analysis of Variations for Self-similar Processes [electronic resource] : A Stochastic Calculus Approach
Author(s): Ciprian Tudor
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Self-similar processes are stochastic processes that are invariant in distribution under suitable time scaling, and are a subject intensively studied in the last few decades. This book presents the basic properties of theseprocesses and focuses on th e study of their variation using stochastic analysis. While self-similar processes, and especially fractional Brownian motion, have been discussed in several books, some new classes have recently emerged inthe scientific literature. Some of them are exten sions of fractional Brownian motion (bifractional Brownian motion, subtractional Brownian motion, Hermite processes), while others are solutions to the partial differential equationsdriven by fractional noises. In this monograph the author discusses the b asic properties of these new classes of self-similar processes and their interrrelationship. At the same time a new approach (based on stochastic calculus,especially Malliavin calculus) to studying the behavior of the variations of self-similar processes has been developed over the last decade. This work surveys these recent techniques and findings on limit theorems and Malliavincalculus
Note:Springer eBooks
Contents:Preface
Introduction
Part I Examples of Self
Similar Processes
1.Fractional Brownian Motion and Related Processes
2.Solutions to the Linear Stochastic Heat and Wave Equation
3.Non Gaussian Self
Similar Processes
4.Multiparameter Gaussian Processes
Part II Variations of Self
Similar Process: Central and Non
Central Limit Theorems
5.First and Second Order Quadratic Variations. Wavelet
Type Variations
6.Hermite Variations for Self
Similar Processes
Appendices: A.Self
Similar Processes with Stationary Increments: Basic Properties
B.Kolmogorov Continuity Theorem
ISBN:9783319009360
Series:e-books
Series:SpringerLink (Online service)
Series:Probability and Its Applications, 1431-7028
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Statistics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783034806367:ONLINE Show nearby items on shelf
Title:Introduction to Mathematical Analysis [electronic resource]
Author(s): Igor Kriz
Ale Pultr
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, theLebesgue integral, vector calculus anddifferential equations. Af ter having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differentialgeometry and even functional analysis. Overall, this t ext provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today
Note:Springer eBooks
Contents:Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
1. Preliminaries
2. Metric and Topological Spaces I
3. Multivariable Differential Calculus
4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral
5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration
6. Systems of Ordinary Differential Equations
7. System of Linear Differential Equations
8. Line Integrals and Green's Theorem
Part 2. Analysis and Geometry
9. An Introduction to Complex Analysis
10. Metric and Top
ISBN:9783034806367
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functions of complex variables , Differential Equations , Sequences (Mathematics)
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9783034805483:ONLINE Show nearby items on shelf
Title:Variable Lebesgue Spaces [electronic resource] : Foundations and Harmonic Analysis
Author(s): David V Cruz-Uribe
Alberto Fiorenza
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides an accessible introduction to the theory of variable Lebesgue spaces. These spaces generalize the classical Lebesgue spaces by replacing the constant exponent p with a variable exponent p(x). They wereintroduced in the early 1930s but have become the focus of renewed interest since the early 1990s because of their connection with the calculus of variations and partial differential equations with nonstandard growth conditions, andfor their applications to problems in physics and ima ge processing. The book begins with the development of the basic function space properties. It avoids a more abstract, functional analysis approach, instead emphasizing an hands-onapproach that makes clear the similarities and differences between the vari able and classical Lebesgue spaces. The subsequent chapters are devoted to harmonic analysis on variable Lebesgue spaces. The theory of the Hardy-Littlewoodmaximal operator is completely developed, and the connections between variable Lebesguespaces and t he weighted norm inequalities are introduced. The other important operators in harmonic analysis - singular integrals, Rieszpotentials, and approximate identities - are treated using a powerful generalization of the Rubio de Francia theory of extrapolatio n from the theory of weighted norm inequalities. The final chapter applies the results from previouschapters to prove basic results about variable Sobolev spaces
Note:Springer eBooks
Contents:1 Introduction
2 Structure of Variable Lebesgue Spaces
3 The Hardy
Littlewood Maximal Operator
4 Beyond Log
Hlder Continuity
5 Extrapolation in the Variable Lebesgue Spaces
6 Basic Properties of Variable Sobolev Spaces
Appendix: Open Problems
Bibliography
Symbol Index
Author Index
Subject Index.
ISBN:9783034805483
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Functional analysis , Global analysis
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461473787:ONLINE Show nearby items on shelf
Title:Nonconvex Optimal Control and Variational Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2013
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:Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimalcontrol and the calculu s of variations. This volume contains a number of results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variationalproblems, and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2-5 consider the well-posedness condition using fine tools of generaltopology and porosity. Chapters 6-8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite-dimensional linear control problems, and Chapter 10 deals with goodfunctions and explores new understandings on the questions of optimality and variational problems. Finally, Chapters 11-12 are centered around the turnpike property, a particular area of expertise for the author. This volume isintended for mathematicians, engineers, and scientists interested in the calculus of variations, optimal control, optimization , and applied functional analysis, as well as both undergraduate and graduate students specializing in thoseareas. The text devoted to Turnpike properties may be of particular interest to the economics community. Also by Alexander J. Zaslavski: Optimizati on on Metric and Normed Spaces, 2010 Structure of Solutions of Variational Problems, 2013 Turnpike Properties in the Calculus of Variations and Optimal Control, 2006
Note:Springer eBooks
Contents:Preface
1. Introduction
2. Well
posedness of Optimal Control Problems
3. Well
posedness and Porosity
4. Well
posedness of Nonconvex Variational Problems
5. Gerenic Well
posedness result
6. Nonoccurrence of the Lavrentiev Phenomenon for Variational Problems
7. Nonoccurrence of the Lavrentiev Phenomenon in Optimal Control
8. Generic Nonoccurrence of the Lavrentiev phenomenon
9. Infinite Dimensional Linear Control Problems
10. Uniform Boundedness of Approximate Solutions of Variational Problems
11. The Turnpike Property for Approximate Solutions
12. A Turnpike
ISBN:9781461473787
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v82
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461463870:ONLINE Show nearby items on shelf
Title:Structure of Solutions of Variational Problems [electronic resource]
Author(s): Alexander J Zaslavski
Date:2013
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:Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line. Results on propertiesof approximate solution s which are independent of the length of the interval, for all sufficiently large intervals are presented in a clear manner. Solutions, new approaches, techniques and methods to a number of difficult problems inthe calculus of variations are illustrated t hroughout this book. This book also contains significant results and information about the turnpike property of the variational problems.This well-known property is a general phenomenonwhich holds for large classes of variational problems. The author exam ines the following in relation to the turnpike property in individual (non-generic) turnpike results, sufficient and necessary conditions for the turnpikephenomenon as well as in the non-intersection property for extremals of variational problems. This bo ok appeals to mathematicians working in optimal control and the calculus as well as with graduate students
Note:Springer eBooks
Contents:Preface
1. Introduction
2. Nonautonomous problems
3.Autonomous problems
4.Convex Autonomous Problems
References
Index
ISBN:9781461463870
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer software , Global analysis (Mathematics) , Functional equations , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461459064:ONLINE Show nearby items on shelf
Title:Malliavin Calculus and Stochastic Analysis [electronic resource] : A Festschrift in Honor of David Nualart
Author(s): Frederi Viens
Jin Feng
Yaozhong Hu
Eulalia Nualart
Date:2013
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The stochastic calculus of variations of Paul Malliavin (1925 - 2010), known today as the Malliavin Calculus, has found many applications, within and beyond the core mathematical discipline. Stochastic analysis provides a fruitfulinterpretation of th is calculus, particularly as described by David Nualart and the scores of mathematicians he influences and with whom he collaborates. Many of these, including leading stochastic analysts and junior researchers,presented their cutting-edge research at an i nternational conference in honor of David Nualart's career, on March 19-21, 2011, at the University of Kansas, USA. These scholars and other top-level mathematicians have kindly contributedresearch articles for this refereed volume
Note:Springer eBooks
Contents:An Application of Gaussian Measures to Functional Analysis
Stochastic Taylor Formulas and Riemannian Geometry
Local invertibility of adapted shifts on Wiener Space and related topics
Dilation vector field on Wiener space
The calculus of differentials for the weak Stratonovich integral
Large deviations for Hilbert space valued Wiener processes: a sequence space approach
Stationary distributions for jump processes with inert drift
An Ornstein
Uhlenbeck type process which satisfies sufficient conditions for a simulation based filtering procedure
Escape probability for stoc
ISBN:9781461459064
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v34
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461458388:ONLINE Show nearby items on shelf
Title:Optimization [electronic resource]
Author(s): Kenneth Lange
Date:2013
Edition:2nd ed. 2013
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:Finite-dimensional optimization problems occur throughout the mathematical sciences. The majority of these problems cannot be solved analytically. This introduction to optimization attempts to strike a balance betweenpresentation of mathematical theo ry and development of numerical algorithms. Building on students skills in calculus and linear algebra, the text provides a rigorous exposition without undue abstraction. Its stress on statisticalapplications will be especially appealing to graduate stude nts of statistics and biostatistics. The intended audience also includes students in applied mathematics, computational biology, computer science, economics, and physics whowant to see rigorous mathematics combined with real applications. In this second edition, the emphasis remains on finite-dimensional optimization. New material has been added on the MM algorithm, block descent and ascent, and thecalculus of variations. Convex calculus is now treated in much greater depth. Advanced topics such as the F enchel conjugate, subdifferentials, duality, feasibility, alternating projections, projected gradient methods, exact penaltymethods, and Bregman iteration will equip students with the essentials for understanding modern data mining techniques in high dime nsions
Note:Springer eBooks
Contents:Elementary Optimization
The Seven Cs of Analysis
The Gauge Integral
Differentiation
Karush
Kuhn
Tucker Theory
Convexity
Block Relaxation
The MM Algorithm
The EM Algorithm
Newtons Method and Scoring
Conjugate Gradient and Quasi
Newton
Analysis of Convergence
Penalty and Barrier Methods
Convex Calculus
Feasibility and Duality
Convex Minimization Algorithms
The Calculus of Variations
Appendix: Mathematical Notes
References
Index
ISBN:9781461458388
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X : v95
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical optimization , Mathematical statistics , Operations research
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461445388:ONLINE Show nearby items on shelf
Title:Calculus Without Derivatives [electronic resource]
Author(s): Jean-Paul Penot
Date:2013
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:Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significanttools and methods toward s applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. In order to beself-contained, the book includes three chapters of prelimi nary material, each of which can be used as anindependent course if needed. The first chapter deals with metric properties, variational principles, decrease principles,methods of error bounds, calmness and metric regularity. The second one presents the cl assical tools of differential calculus and includes a section about the calculus of variations. The third contains a clearexposition of convexanalysis
Note:Springer eBooks
Contents:Preface
1 Metric and Topological Tools
2 Elements of Differential Calculus
3 Elements of Convex Analysis
4 Elementary and Viscosity Subdifferentials
5 Circa
Subdifferentials, Clarke Subdifferentials
6 Limiting Subdifferentials
7 Graded Subdifferentials, Ioffe Subdifferentials
References
Index
ISBN:9781461445388
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v266
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Systems theory , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781461444817:ONLINE Show nearby items on shelf
Title:Exterior Billiards [electronic resource] : Systems with Impacts Outside Bounded Domains
Author(s): Alexander Plakhov
Date:2013
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:A billiard is a dynamical system in which a point particle alternates between free motion and specular reflections fromthe boundaryof a domain.Exterior Billiards presents billiards in the complement of domains and theirapplications in aerodynamics an d geometrical optics. This book distinguishes itself from existing literature by presenting billiard dynamics outside bounded domains, including scattering, resistance, invisibility andretro-reflection. It begins with an overview of the mathematical notat ions used throughout the book and a brief review of the main results. Chapters 2 and 3 are focused on problems of minimal resistance and Newtons problem inmedia with positive temperature. In chapters 4 and 5, scattering of billiards bynonconvex and rough domains is characterized and some related special problems of optimal mass transportation are studied. Applications in aerodynamicsare addressed next and problems of invisibility and retro-reflection within the framework of geometric optics conclude the t ext. The book will appeal to mathematicians working in dynamical systems and calculus of variations.Specialists working in the areas of applications discussed will also find it useful
Note:Springer eBooks
ISBN:9781461444817
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2013-9781447148203:ONLINE Show nearby items on shelf
Title:Functional Analysis, Calculus of Variations and Optimal Control [electronic resource]
Author(s): Francis Clarke
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such asnonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis andincludes many novel elements as well as the stan dard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. Theauthor provides a comprehensive course on these subjects, from their inc eption through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximumprinciple, which appear here for the first time in a textbook. Other major themes include existen ce and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscositysolutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They a lso touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering.Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or secon d-year graduate level, on functional analysis, on the calculus of variations and optimalcontrol, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its ad vanced results in the calculus of variations and optimal control,its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth a
Note:Springer eBooks
Contents:Normed Spaces
Convex sets and functions
Weak topologies
Convex analysis
Banach spaces
Lebesgue spaces
Hilbert spaces
Additional exercises for Part I
Optimization and multipliers
Generalized gradients
Proximal analysis
Invariance and monotonicity
Additional exercises for Part II
The classical theory
Nonsmooth extremals
Absolutely continuous solutions
The multiplier rule
Nonsmooth Lagrangians
Hamilton
Jacobi methods
Additional exercises for Part III
Multiple integrals
Necessary conditions
Existence and regularity
Inductive meth
ISBN:9781447148203
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v264
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Systems theory , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9788876424434:ONLINE Show nearby items on shelf
Title:An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs [electronic resource]
Author(s): Mariano Giaquinta
Luca Martinazzi
Date:2012
Publisher:Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress ofMathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certainassumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to asregularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of thebasic ideas and techniques introduced in this context, confining ourselves to important but simpl e situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, directmethods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and Lp-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar caseand partial regularity theorems in the vector valued case energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1. In this second deeply revised edition we also included the regularity of 2-dimensionalweakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of theLp theory, including the celebrated results of W ente and of Coifman-Lions-Meyer-Semmes
Note:Springer eBooks
Contents:1 Harmonic functions
2 Direct methods
3 Hilbert space methods
4 L2
regularity: the Caccioppoli inequality
5 Schauder estimates
6 Some real analysis
7 Lp
theory
8 The regularity problem in the scalar case
9 Partial regularity in the vector
valued case
10 Harmonic maps
11 A survey of minimal graphs
ISBN:9788876424434
Series:e-books
Series:SpringerLink (Online service)
Series:Publications of the Scuola Normale Superiore
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9783642180927:ONLINE Show nearby items on shelf
Title:A Trajectory Description of Quantum Processes. I. Fundamentals [electronic resource] A Bohmian Perspective
Author(s): ngel S Sanz
Salvador Miret-Arts
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Trajectory-based formalisms are an intuitively appealing way of describing quantum processes because they allow the use of classical concepts. Beginning at an introductory level suitable for students, this two-volumemonograph presents (1) the fundame ntals and (2) the applications of the trajectory description of basic quantum processes. This first volume is focussed on the classical and quantum background necessary to understand the fundamentalsof Bohmian mechanics, which can be considered the main t opic of this work. Extensions of the formalism to the fields of open quantum systems and to optics are also proposed and discussed
Note:Springer eBooks
Contents:From Trajectories to Ensembles in Classical Mechanics
Dynamics of Open Classical Systems
Elements of Quantum Mechanics
Optics and Quantum Mechanics
Dynamics of Open Quantum Systems
Quantum Mechanics with Trajectories
Trajectories in Optics
Calculus of Variations
Stochastic processes
ISBN:9783642180927
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v850
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781461438946:ONLINE Show nearby items on shelf
Title:Calculus on Normed Vector Spaces [electronic resource]
Author(s): Rodney Coleman
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:This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematicalmaturity. All the important t opology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book isone of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader
Note:Springer eBooks
Contents:Preface
1 Normed Vector Spaces
2 Differentiation
3 Mean value theorems
4 Higher derivatives and differentials
5 Taylor theorems and applications
6 Hilbert spaces
7 Convex functions
8 The inverse and implicit mapping theorems
9 Vector fields
10 The flow of a vector field
11 The calculus of variations: an introduction
Bibliography
Index
ISBN:9781461438946
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9781461438342:ONLINE Show nearby items on shelf
Title:Geometric Optimal Control [electronic resource] : Theory, Methods and Examples
Author(s): Heinz Schttler
Urszula Ledzewicz
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:This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the geometric aspects of thetheory and on illustrating how these methods can be used to solve optimal control problems. It provides tools and techniques that go well beyond standard procedures and can be used to obtain a full understanding of the global structureof solutions for the underlying problem. The t ext includes a large number and variety of fully worked out examples that range from the classical problem of minimum surfaces of revolution to cancer treatment for novel therapyapproaches. All these examples, in one way or the other, illustrate the power of geometric techniques and methods. The versatile text contains material on different levels ranging from the introductory and elementary to the advanced.Parts of the text can be viewed as a comprehensive textbook for both advanced undergraduate and all level graduate courses on optimal control in both mathematics and engineering departments. The text moves smoothly from the moreintroductory topics to those parts that are in a monograph style were advanced topics are presented. While the presentation is mathematically rigorous, it is carried out in a tutorial style that makes the text accessible to a wideaudience of researchers and students from various fields, including the mathematical sciences and engineering. Heinz Schttler is an Associate Professor at Washington University in St. Louis in the Department of Electrical andSystems Engineering, Urszula Ledzewicz is a Distinguished Research Professor at Southern Illinois University Edwardsville in the Department of Mathematics and Statistics
Note:Springer eBooks
Contents:The Calculus of Variations: A Historical Perspective
The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution
Reachable Sets of Linear Time
Invariant Systems: From Convex Sets to the Bang
Bang Theorem
The High
Order Maximum Principle: From Approximations of Reachable Sets to High
Order Necessary Conditions for Optimality
The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum
Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions
Control
Affine Systems in Low Dimensions
ISBN:9781461438342
Series:e-books
Series:SpringerLink (Online service)
Series:Interdisciplinary Applied Mathematics, 0939-6047 : v38
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Global differential geometry , Mathematical optimization , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2012-9780817683108:ONLINE Show nearby items on shelf
Title:Mathematical Analysis [electronic resource] : Foundations and Advanced Techniques for Functions of Several Variables
Author(s): Mariano Giaquinta
Giuseppe Modica
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in anearlier introductory v olume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differentialforms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics.The authorsconclude with the study of measure and integration theory Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. Thiswork may be used as a supplementary text in the classroom or for self-study by advanced undergra duate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengthsof this presentation, along with the other four books on analysis published by the authors, is the motivation for und erstanding the subject through examples, observations, exercises, and illustrations. Other books published by theauthors all of which provide the reader with a strong foundation in modern-day analysis include: * Mathematical Analysis: Functions of One V ariable * Mathematical Analysis: Approximation and Discrete Processes * MathematicalAnalysis: Linear and Metric Structures and Continuity * Mathematical Analysis: An Introduction to Functions of Several Variables Reviews of previous volumes of Mathematica l Analysis: The presentation of the theory is clearly arranged,all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requ
Note:Springer eBooks
Contents:Preface
Spaces of Summable Functions and Partial Differential Equations
Convex Sets and Convex Functions
The Formalism of the Calculus of Variations
Differential Forms
Measures and Integrations
Hausdorff and Radon Measures
Mathematicians and Other Scientists
Bibliographical Notes
Index
ISBN:9780817683108
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642110429:ONLINE Show nearby items on shelf
Title:Calculus of Variations, Classical and Modern [electronic resource]
Author(s): R Conti
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:A. Blaquire: Quelques aspects gomtriques des processus optimaux.- C. Castaing: Quelques problmes de mesurabilit lis la thorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems ofthe calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain classvector-valued functions.- E. Rothe: Weak topology and calculus of vari ations.- E.O. Roxin: Problems about the set of attainability
Note:Springer eBooks
Contents:A. Blaquire: Quelques aspects gomtriques des processus optimaux
C. Castaing: Quelques problmes de mesurabilit lis la thorie des commandes
L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more
dimensional extensions in Sobolev space
H. Halkin: Optimal control as programming in infinite dimensional spaces
C. Olech: The range of integrals of a certain class vector
valued functions
E. Rothe: Weak topology and calculus of variations
E.O. Roxin: Problems about the set of attainability
ISBN:9783642110429
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v39
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642109706:ONLINE Show nearby items on shelf
Title:Geometric Measure Theory and Minimal Surfaces [electronic resource]
Author(s): E Bombieri
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER:Singularities in soap-bubble-like and soap-film-like surfaces.- D. KINDERLEHRER: The analyticity of the coincidence set in variational inequalities.- M. MIRANDA: Boundaries of Caciopoli sets in the calculus of variations.- L.PICCININI: De Giorgis measure and thin obstacles
Note:Springer eBooks
Contents:W.K. ALLARD: On the first variation of area and generalized mean curvature
F.J. ALMGREN Jr.: Geometric measure theory and elliptic variational problems
E. GIUSTI: Minimal surfaces with obstacles
J. GUCKENHEIMER: Singularities in soap
bubble
like and soap
film
like surfaces
D. KINDERLEHRER: The analyticity of the coincidence set in variational inequalities
M. MIRANDA: Boundaries of Caciopoli sets in the calculus of variations
L. PICCININI: De Giorgis measure and thin obstacles
ISBN:9783642109706
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v61
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9783642109263:ONLINE Show nearby items on shelf
Title:Il principio di minimo e sue applicazioni alle equazioni funzionali [electronic resource]
Author(s): S Faedo
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:L. Nirenberg: On ellliptic partial differential equations.- S. Agmon: The Lp approach to the Dirichlet problems.- C.B. Morrey, Jr.: Multiple integral problems in the calculus of variations and related topics.- L. Bers:Uniformizzazione e moduli
Note:Springer eBooks
Contents:L. Nirenberg: On ellliptic partial differential equations
S. Agmon: The Lp approach to the Dirichlet problems
C.B. Morrey, Jr.: Multiple integral problems in the calculus of variations and related topics
L. Bers: Uniformizzazione e moduli
ISBN:9783642109263
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v17
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2011-9780817649951:ONLINE Show nearby items on shelf
Title:Heat Kernels for Elliptic and Sub-elliptic Operators [electronic resource] : Methods and Techniques
Author(s): Ovidiu Calin
Der-Chen Chang
Kenro Furutani
Chisato Iwasaki
Date:2011
Edition:1
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators becausethey describe the distrib ution of heat on a given manifold as well as evolution phenomena and diffusion processes. The work is divided into four main parts: Part I treats the heat kernel by traditional methods, such as the Fouriertransform method, paths integrals, variational cal culus, and eigenvalue expansion Part II deals with the heat kernel on nilpotent Lie groups and nilmanifolds Part III examines Laguerre calculus applications Part IV uses the methodof pseudo-differential operators to describe heat kernels. Topics and featu res: comprehensive treatment from the point of view of distinct branches of mathematics, such as stochastic processes, differential geometry, specialfunctions, quantum mechanics, and PDEs novelty of the work is in the diverse methods used to compute heat kernels for elliptic and sub-elliptic operators most of the heat kernels computable by means of elementary functions arecovered in the work self-contained material on stochastic processes and variational methods is included. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure andapplied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators
Note:Springer eBooks
Contents:Part I. Traditional Methods for Computing Heat Kernels
Introduction
Stochastic Analysis Method
A Brief Introduction to Calculus of Variations
The Path Integral Approach
The Geometric Method
Commuting Operators
Fourier Transform Method
The Eigenfunctions Expansion Method
Part II. Heat Kernel on Nilpotent Lie Groups and Nilmanifolds
Laplacians and Sub
Laplacians
Heat Kernels for Laplacians and Step 2 Sub
Laplacians
Heat Kernel for Sub
Laplacian on the Sphere S^3
Part III. Laguerre Calculus and Fourier Method
Finding Heat Kernels by Using Laguerre Calculu
ISBN:9780817649951
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Operator theory , Differential equations, partial , Global differential geometry , Distribution (Probability theory) , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2010-9780817680862:ONLINE Show nearby items on shelf
Title:Optimal Control [electronic resource]
Author(s): Richard Vinter
Date:2010
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated withthe HamiltonJacobi equa tion. The book is largely self-contained and incorporates numerous simplifications and unifying features for the subjects key concepts and foundations. Features and Topics: * a comprehensive overview isprovided for specialists and nonspecialists * authori tative, coherent, and accessible coverage of the role of nonsmooth analysis in investigating minimizing curves for optimal control * chapter coverage of dynamic programming and theregularity of minimizers * explains the necessary conditions for nonconvex problems This book is an excellent presentation of the foundations and applications of nonsmooth optimal control for postgraduates, researchers, andprofessionals in systems, control, optimization, and applied mathematics. ----- Each chapter contains a wel l-written introduction and notes. They include the author's deep insights on the subject matter and provide historical commentsand guidance to related literature. This book may well become an important milestone in the literature of optimal control.Mathem atical Reviews This remarkable book presents Optimal Control seen as a natural development of Calculusof Variations so as to deal with the control of engineering devices. ... Thanks to a great effort to be self-contained, it renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers andprofessionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis). Automatica Thebook may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicia
Note:Springer eBooks
Contents:Overview
Measurable Multifunctions and Differential Inclusions
Variational Principles
Nonsmooth Analysis
Subdifferential Calculus
The Maximum Principle
The Extended EulerLagrange and Hamilton Conditions
Necessary Conditions for Free End
Time Problems
The Maximum Principle for State Constrained Problems
Necessary Conditions for Differential Inclusion Problems with State Constraints
Regularity of Minimizers
Dynamic Programming
ISBN:9780817680862
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2009-9783540733058:ONLINE Show nearby items on shelf
Title:Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics [electronic resource]
Author(s): Errico Presutti
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists andphilosophers. Modern t echnologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanicsand, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length
Note:Springer eBooks
Contents:Statistical Mechanics of Ising systems
Thermodynamic limit in the Ising model
The phase diagram of Ising systems
Mean field, Kac potentials and the LebowitzPenrose limit
Stochastic Dynamics
Mesoscopic Theory, non
local functionals
Non
local, free energy functionals
Surface tension, Gamma convergence, Wulff shape
One dimensional interfaces
Phase transitions in systems with Kac potentials
Ising systems with Kac potentials
The LMP model and the PirogovSinai strategy
Phase transitions in the LMP model
DLR measures and the ergodic decomposition
ISBN:9783540733058
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2009-9780387848976:ONLINE Show nearby items on shelf
Title:Self-dual Partial Differential Systems and Their Variational Principles [electronic resource]
Author(s): Nassif Ghoussoub
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Based on recent research by the author and his graduate students, this text describes novel variational formulations and resolutions of a large class of partial differential equations and evolutions, many of which are not amenableto the methods of th e classical calculus of variations. While it contains many new results, the general and unifying framework of the approach, its versatility in solving a disparate set of equations, and its reliance on basicfunctional analytic principles, makes it suitable for an intermediate level graduate course. The applications, however, require a fair knowledge of classical analysis and PDEs which is needed to make judicious choices of functionspaces where the self-dual variational principles need to be applied. It is the author's hope that this material will become standard for all graduate students interested in convexity methods for PDEs. Nassif Ghoussoub is aDistinguished University Professor at the University of British Columbia. He was editor-in-chief of the Can adian Journal of Mathematics for the period 1993-2003, and has served on the editorial board of various international journals.He is the founding director of the Pacific Institute for the Mathematical Sciences (PIMS), and a co-founder of the MITACS Networ k of Centres of Excellence. He is also the founder and scientific director of the Banff InternationalResearch Station (BIRS). He is the recipient of many awards, including the Coxeter-James, and the Jeffrey-Williams prizes. He was elected Fellow of the Ro yal Society of Canada in 1993, and was the recipient of a Doctorat Honoris Causafrom the Universite Paris-Dauphine in 2004
Note:Springer eBooks
Contents:Preface
Introduction
Legendre
Fenchel Duality on Phase Space
Self
dual Lagrangians on Phase Space
Skew
adjoint Operators and Self
dual Lagrangians
Self
dual Vector Fields and Their Calculus
Variational Principles for Completely Self
dual Functionals
Semigroups of Contractions Associated to Self
dual Lagrangians
Iteration of Self
dual Lagrangians and Multiparameter Evolutions
Direct Sum of Completely Self
dual Functionals
Semilinear Evolution with Self
dual Boundary Conditions
The Class of Antisymmetric Hamiltonians
Variational Principles for Self
dual Functi
ISBN:9780387848976
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Differential equations, partial
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2009-9780387692777:ONLINE Show nearby items on shelf
Title:Variational Methods in Imaging [electronic resource]
Author(s): Otmar Scherzer
Markus Grasmair
Harald Grossauer
Markus Haltmeier
Frank Lenzen
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book is devoted to the study of variational methods in imaging. The presentation is mathematically rigorous and covers a detailed treatment of the approach from an inverse problems point of view. Key Features: - Introducesvariational methods wit h motivation from the deterministic, geometric, and stochastic point of view - Bridges the gap between regularization theory in image analysis and in inverse problems - Presents case examples in imaging toillustrate the use of variational methods e.g. den oising, thermoacoustics, computerized tomography - Discusses link between non-convex calculus of variations, morphological analysis, and level set methods - Analyses variational methodscontaining classical analysis of variational methods, modern analysis such as G-norm properties, and non-convex calculus of variations - Uses numerical examples to enhance the theory This book is geared towards graduate students andresearchers in applied mathematics. It can serve as a main text for graduate courses in image processing and inverse problems or as a supplemental text for courses on regularization. Researchers and computer scientists in the area ofimaging science will also find this book useful
Note:Springer eBooks
Contents:Part I: Fundamentals of Imaging
Case examples of imaging
Image and Noise Models
Part II: Regularization
Variational Regularization Methods for the Solution of Inverse Problems
Convex Regularization Methods for Denoising
Variational Calculus for Non
convex Regularization
Semi
group Theory and Scale Spaces
Inverse Scale Spaces
Part III: Mathematical Foundations
Functional Analysis
Weakly Differentiable Functions
Convex Analysis and Calculus Variations
Nomenclature
References
Index
ISBN:9780387692777
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v167
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Radiology, Medical , Computer vision , Numerical analysis , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2009-9780387097244:ONLINE Show nearby items on shelf
Title:Introduction to Hamiltonian Dynamical Systems and the N-Body Problem [electronic resource]
Author(s): Kenneth Meyer
Glen Hall
Dan Offin
Date:2009
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This text grew out of graduate level courses in mathematics, engineering and physics given at several universities. The courses took students who had some background in differential equations and lead them through a systematicgrounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. Topics covered include a detailed discussion of linear Hamiltonian systems, an introduction to variational calculus and the Maslov index, thebasics of the symplectic group, an introduction t o reduction, applications of Poincar's continuation to periodic solutions, the use of normal forms, applications of fixed point theorems and KAM theory. There is a special chapterdevoted to finding symmetric periodic solutions by calculus of variations me thods. The main examples treated in this text are the N-body problem and various specialized problems like the restricted three-body problem. The theory of theN-body problem is used to illustrate the general theory. Some of the topics covered are the clas sical integrals and reduction, central configurations, the existence of periodic solutions by continuation and variational methods,stability and instability of the Lagrange triangular point. Ken Meyer is an emeritus professor at the University of Cincinna ti, Glen Hall is an associate professor at Boston University, and Dan Offin is a professor at Queen'sUniversity
Note:Springer eBooks
Contents:Hamiltonian Differential Equations and the N
Body Problem
Exterior Algebra and Differential Forms
Symplectic transformations and coordinates
Introduction to the Geometric Theory of Hamiltonian Dynamical Systems
Continuation of Periodic Solutions
Perturbation Theory and Normal Forms
Bifurcations of Periodic Orbits
Stability and KAM Theory
Twist Maps and Invariant Curves
ISBN:9780387097244
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v90
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differentiable dynamical systems , Mathematical physics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9783764374785:ONLINE Show nearby items on shelf
Title:Analysis II [electronic resource]
Author(s): Herbert Amann
Joachim Escher
Date:2008
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and cleardevelopment that started in Volume I (3-7643-7153-6) continues. In this way a sustainable basis will be created which allows to deal with interesting applications that sometimes go considerably beyond the material that is representedin traditional textbooks. This applies, for ins tance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations. Another exampleis the presentation of the local theory of submanifolds of Rn
Note:Springer eBooks
Contents:Preface
VI. Integral Calculus in One Variable
1. Step Continuous Functions
2. Continuous Extensions
3. The Cauchy
Riemann Integral
4. Properties of the Integral
5. The Technology of Integration
6. Sums and Integrals
7. Fourier Series
8. Improper Integrals
9. The Gamma Function
VII. Differential Calculus in Several Variables
1. Continuous Linear Mappings
2. Differentiability
3. Calculation Rules
4. Multilinear Mappings
5. Higher Derivatives
6. Nemytski Operators and Calculus of Variations
7. Inverse Mappings
8. Implicit Functions
9. Manifolds
10. Tang
ISBN:9783764374785
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Functions of complex variables , Functions, special
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9783540759140:ONLINE Show nearby items on shelf
Title:Calculus of Variations and Nonlinear Partial Differential Equations [electronic resource] : With a historical overview by Elvira Mascolo
Author(s): Luigi Ambrosio
Luis Caffarelli
Michael G Crandall
Lawrence C Evans
Nicola Fusco
Bernard Dacorogna
Paolo Marcellini
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Springer eBooks
ISBN:9783540759140
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1927
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9783540752653:ONLINE Show nearby items on shelf
Title:Aspects of Mathematical Finance [electronic resource]
Author(s): Marc Yor
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Considering the stupendous gain in importance, in the banking and insurance industries since the early 1990s, of mathematical methodology, especially probabilistic methodology, it was a very natural idea for the FrenchAcadmie des Sciences to propose a series of public lectures, accessible to an educated audience, to promote a wider understanding for some of the fundamental ideas, techniques and new tools of the financial industries. Theselectures were given at the Acadmie des Sciences in Paris by int ernationally renowned experts in mathematical finance, and later written up for this volume which develops, in simple yet rigorous terms, some challenging topics suchas risk measures, the notion of arbitrage, dynamic models involving fundamental stochasti c processes like Brownian motion and Lvy processes. The Ariadnes thread leads the reader from Louis Bacheliers thesis 1900 to the famousBlack-Scholes formula of 1973 and to most recent work close to Malliavins stochastic calculus of variations. The book a lso features a description of the trainings of French financial analysts which will help them to become expertsin these fast evolving mathematical techniques. The authors are: P. Barrieu, N. El Karoui, H. Fllmer, H. Geman, E. Gobet, G. Pags, W. Schacherma yer and M. Yor
Note:Springer eBooks
Contents:Introduction: Some Aspects of Financial Mathematics
Financial Uncertainty, Risk Measures and Robust Preferences
The Notion of Arbitrage and Free Lunch in Mathematical Finance
Dynamic Financial Risk Management
Stochastic Clock and Financial Markets
Options and Partial Differential Equations
Mathematics and Finance
ISBN:9783540752653
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9783540740131:ONLINE Show nearby items on shelf
Title:Variational Methods [electronic resource] : Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems
Author(s): Michael Struwe
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the1929 theorem of Ljust ernik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Rad. The book gives a conciseintroduction to variational methods and present s an overview of areas of current research in the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of theYamabe flow and a detailed treatment of the phenomenon of blow-up. A lso the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, anumber of smaller changes throughout the text have been made and the references have been updated
Note:Springer eBooks
Contents:The Direct Methods in the Calculus of Variations
Lower Semi
Continuity
Constraints
Compensated Compactness
The Concentration
Compactness Principle
Ekeland's Variational Principle
Duality
Minimization Problems Depending on Parameters
Minimax Methods
The Finite Dimensional Case
The Palais
Smale Condition
A General Deformation Lemma
The Minimax Principle
Index Theory
The Mountain Pass Lemma and its Variants
Perturbation Theory
Linking
Parameter Dependence
Critical Points of Mountain Pass Type
Non
Differentiable Functionals
Ljusternik
Sch
ISBN:9783540740131
Series:e-books
Series:SpringerLink (Online service)
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics : v34
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Systems theory , Mathematical optimization
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Cover
Image
Call number:SPRINGER-2008-9781402069642:ONLINE Show nearby items on shelf
Title:Hamiltonian Dynamical Systems and Applications [electronic resource]
Author(s): Walter Craig
Date:2008
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. Theseproblems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees offreedom. This volume is the collected and extende d notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the moderntheory of the subject were covered at this event, including low dimension al problems as well as the theory of Hamiltonian systems in infinite dimensional phase space these are described in depth in this volume. Applications are alsopresented to several important areas of research, including problems in classical mechanics, con tinuum mechanics, and partial differential equations. These lecture notes cover many areas of recent mathematical progress in this field,including the new choreographies of many body orbits, the development of rigorous averaging methods which give hope fo r realistic long time stability results, the development of KAM theory for partial differential equations in one andin higher dimensions, and the new developments in the long outstanding problem of Arnold diffusion. It also includes other contributions to celestial mechanics, to control theory, to partial differential equations of fluid dynamics,and to the theory of adiabatic invariants. In particular the last several years has seen major progress on the problems of KAM theory and Arnold diffusion accordi ngly, this volume includes lectures on recent developments of KAM theoryin infinite dimensional phase space, and descriptions of Arnold diffusion using variational methods as well as geometrical appro
Note:Springer eBooks
Contents:Preface
Hamiltonian Dynamical Systems and Applications
Some Aspects of Finite
Dimensional Hamiltonian Dynamics
Four Lectures on the N
body Problem
Average Method and Adiabatic Invariants
Transformation Theory of Hamiltonian PDE and the Problem of Water Waves
Three Theorems on Perturbed KdV
Groups and Topology in the Euler Hydrodynamics and KdV
Infinite Dimensional Dynamical Systems and the Navier
Stokes Equation
Hamiltonian Systems and Optimal Control
KAM Theory with Applications to Hamiltonian Partial Differential Equations
Four Lectures on KAM for the Non
Lin
ISBN:9781402069642
Series:e-books
Series:SpringerLink (Online service)
Series:NATO Science for Peace and Security Series, 1874-6500
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Differential equations, partial , Mathematical physics , Mechanics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
More info: Barnes and Noble
Full Text:Click here
Location: ONLINE

Return to the Fermilab Library catalog