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SPIRES-BOOKS: FIND KEYWORD DIFFERENCE EQUATIONS *END*INIT* use /tmp/qspiwww.webspi1/7421.125 QRY 131.225.70.96 . find keyword difference equations ( in books using www Cover
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Call number:9789811031809:ONLINE Show nearby items on shelf
Title:Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
Author(s): Marat Akhmet
Date:2017
Size:1 online resource (XI, 166 p. 31 illus., 26 illus. in color p.)
Contents:Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork
Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type
ISBN:9789811031809
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Control engineering , Mathematics , Dynamical Systems and Ergodic Theory , Control , Applications of Nonlinear Dynamics and Chaos Theory , Difference and Functional Equations , Ordinary Differential Equations
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Call number:9783319509303:ONLINE Show nearby items on shelf
Title:Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Author(s): Guy Fayolle
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 248 p. 17 illus p.)
Contents:Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled
Processor Model. - References
ISBN:9783319509303
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations
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Call number:9783319008318:ONLINE Show nearby items on shelf
Title:Analytic Inequalities and Their Applications in PDEs
Author(s): Yuming Qin
Date:2017
Size:1 online resource (XIII, 564 p p.)
Contents:Preface -- 1 Integral Inequalities -- 2 Differential and Difference Inequalities -- 3 Global Attractors for Evolutionary Differential Equations -- 4 Global Existence and Uniqueness for Evolutionary PDEs -- 5 Asymptotic Behavior for
Evolutionary PDEs.-6 Blow-up of Solutions to Evolutionary PDEs -- 7 Appendix: Basic Inequalities.
ISBN:9783319008318
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Operator theory , Partial differential equations , Mathematical physics , Mathematics , Partial Differential Equations , Classical Mechanics , Operator Theory , Mathematical Physics
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Call number:9781608077779:ONLINE Show nearby items on shelf
Title:Terahertz metrology
Author(s): Mira Naftaly
Date:2015
Publisher:Artech House
Size:1 online resource (386 p.)
Contents:Chapter 1 Terahertz Time-Domain Spectrometers -- Photoconductive Emitters and Detectors -- Optical Rectification -- Electro-Optic Detection -- Terahertz Air-Based Coherent Detection -- Cherenkov (Tilted Wavefront) Emitters and Detectors -- Continuou s-Wave Terahertz Time-Domain Spectrometer and Microwave Photonics -- Types of Continuous-Wave Terahertz Emitters and Detectors -- Time-Domain Spectrometer Configurations -- Transmission -- Reflection -- Attenuated Total Reflection -- Asynchronous Optical Sampling -- Substrate Lenses -- Commercial Systems -- Parameter Extraction in Time-Domain . Chapter 2 Spectrometers -- Material Properties and Wave Propagation -- Complex Refractive Index and Complex Permittivity -- Plane Wave Propagation Across an Interf ace.Fresnel Equations -- Plane Wave Propagation Through a Dielectric Slab -- Fabry-Perot Effect -- Extracting Optical Parameters from Terahertz Time-Domain Spectrometers Data -- Transmission-mode Terahertz Time-Domain Spectrometers: Approximation -- Trans mission-Mode Terahertz Time-Domain Spectrometers: Exact Solution -- Reflection-Mode Terahertz Time-Domain Spectrometers: Single Reflection -- Reflection-Mode Terahertz Time-Domain Spectrometers: Double Reflection -- Attenuated Total Reflection -- Preproce ssing and Postprocessing of Data -- Signal Averaging in the Time and Frequency Domains -- Signal Denoising -- Phase Unwrapping -- Sample Requirements -- Sample Thickness -- Lateral Dimensions of Samples -- Loss: Absorption, Scattering, Diffraction
Chapter 3 Metrology for Time-Domain Spectrometers -- Performance Parameters: Sensitivity, Resolution, Precision, Accuracy, Dynamic Range, and Signal-to-Noise Ratio -- Dynamic Range and Signal-to-Noise Ratio of Terahertz Time-Domain Spectrometers -- System Performance Limits Due to Dynamic Range and Signal-to-Noise Ratio -- Frequency Resolution -- Measurement Bandwidth -- Sources of Random Noise -- Amplitude -- Phase -- Systematic Errors -- Alignment Errors -- Focal Plane Defocusing -- Delay Line Err ors -- Terahertz Beam Profile -- Chapter 4 Evaluation of Uncertainty in Time-Domain Spectroscopy -- Method of Uncertainty Evaluation -- Evaluation of Random and Systematic Errors -- Propagation and Combination of Measurement Uncertainty -- Measurement wit h Resolution Limit -- Sources of Uncertainty in Terahertz Time-Domain Spectroscopy -- Random and Systematic Errors in Amplitude -- Random and Systematic Errors in Sample Thickness -- Random and Systematic Errors in Sample Alignment -- Systematic Error in the Approximated Transfer Function -- Systematic Error Due to Reflections -- Systematic Error in Physical Constants -- Uncertainty in Optical Constants: A Combination of Variances
Chapter 5 Metrology for Fourier Transform Spectrometers -- Spectrometer Configurations -- Michelson -- Mach-Zender -- Polarized Fourier Transform Spectrometer (Martin-Pupplett Interferometer) -- Modes of Operation: Step and Integrate or Fast Scannin g -- Moving Stage -- General Fourier Transform Spectrometer Advantages -- Fourier Transform Spectrometer Metrology -- Encoders, Synchronizing, and Time-Stamping -- Instrument Line Function: A Spectral Resolution Limitation -- Apodization -- Cosine and Sin e Terms and Phase Correction Techniques -- Achievable Spectral Resolution -- Sample Measurement Parameter Recovery -- Thin Sample Approximation: Lossless Case -- Dispersive Medium -- Thick Sample Analysis (or Noncollimated Measurement) -- Absorption Coeff icients -- Sources of Noise and Uncertainties -- Time-Domain Errors -- (Software) Noise Reduction Techniques -- Chapter 6 Terahertz Spectrometer Calibration -- Why Calibrate Terahertz Spectrometers -- Frequency Calibration -- Gases -- Solids -- Resonant M esh Filters -- Etalons -- Summary of Frequency Calibration Standards -- Amplitude Linearity Calibration -- Reflection Standards
Chapter 7 Terahertz Imaging -- Image Resolution of a Terahertz Imaging System -- Data Analysis in the Far Field -- Imaging Thin Layers -- Spatial Resolution Tests -- Near-Field Imaging -- Chemical Imaging -- Focal Plane Array Microbolometer Cameras -- Chapter 8 Metrology for Vector Network Analyzers -- Vector Network Analyzers -- The Role of a Network Analyzer -- Scattering Parameters -- Vector Network Analyzer Systems -- Extender Heads -- Good Practice Tips -- Metallic Waveguides -- Basic Properti es -- Dispersion -- Standardized Sizes and Frequency Ranges -- Flanges/Interfaces -- Good Practice Tips -- Calibration Standards and Methods -- Calibration: General Principles -- Types of Calibration Standard -- One-Port Calibration Methods -- Two-Port Ca libration Methods -- Connection Repeatability -- System Verification -- Chapter 9 Terahertz Optics -- Terahertz Optical Materials -- Transparency at Terahertz Frequencies -- Inorganic Crystals for Terahertz Optics -- Polymers for Terahertz Optics -- Metal Reflectivities -- Gaussian Optics -- Gaussian Beams -- Parabolic Mirrors -- Dichroic Optical Elements -- Terahertz Transparent/Visible Opaque -- Terahertz Opaque/Visible Transparent -- Terahertz Reflective/Visible Transparent -- Terahertz Transparent/Vis ible Reflective -- Wire-Grid Polarizers -- Antireflection Coatings -- Photonic Crystal Fibers and Terahertz . Waveguides
Chapter 10 Terahertz Laser Sources -- Optically Pumped Gas Lasers -- P-Germanium Laser -- Quantum Cascade Lasers -- Pulsed Difference Frequency Generation -- High-Resolution Frequency Measurements Using Continuous-Wave Difference Frequency Generatio n -- Optical Parametric Oscillators -- Free Electron Lasers -- Chapter 11 Electronic Sources of Terahertz Radiation and Terahertz Detectors -- Electronic Sources of Terahertz Radiation: Introduction and Terminology -- Vacuum Electronic Sources -- Backward Wave Oscillators -- Extended Interaction Klystrons -- Solid-State Devices -- Gunn Diodes and IMPATT Oscillators and Amplifiers -- Transistor Amplifiers -- Frequency Multiplied Sources -- Source Characteristics Summary -- Detectors of Terahertz Radiation: Introduction and Terminology . Incoherent Detectors -- Golay Cell -- Pyroelectric Detectors -- Room-Temperature Bolometers -- Cryogenic Bolometers -- Photoconductive Detectors -- Semiconductor Diode Rectifiers -- Thermopiles -- Incoherent Detector Summar y -- Coherent Detectors: Introduction -- Schottky Diode Mixers -- Frequency Measurement
ISBN:9781608077762
Series:eBooks
Series:Artech ebooks
Keywords: Terahertz spectroscopy. , Metrology. , Terahertz technology.
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Call number:9781608075355:ONLINE Show nearby items on shelf
Title:Microstrip lines and slotlines
Author(s): Ramesh Garg
I. J. Bahl
Maurizio Bozzi
Date:2013
Edition:Third edition.
Publisher:Artech House
Size:1 online resource (589 p.)
Contents:Chapter 1 Microstrip Lines I - Quasi-Static Analyses, Dispersion Models, and Measurements -- Planar Transmission Structures -- Microstrip Field Configuration -- Methods of Microstrip Analysis Quasi-Static Analyses of a Microstrip -- Modified Conformal Transformation Method -- Finite Difference Method -- Integral Equation Meth od -- Variational Method in the Fourier Transform Domain -- Segmentation and Boundary Element Method -- Microstrip Dispersion Models -- Coupled TEM Mode and TM Mode Model -- An Empirical Relation -- Dielectric-Loaded Ridged Waveguide Model -- Empirical F ormulae for Broad Frequency Range -- Planar Waveguide Model -- Microstrip Transitions -- Coaxial-to-Microstrip Transition -- Waveguide-to-Microstrip Transition -- Microstrip Measurements -- Substrate Dielectric Constant -- Characteristic Impendance -- Pha se Velocity or Effective Dielectric Constant -- Attenuation Constant -- Fabrication -- Printed Circuit Technologies -- Hybrid Microwave Integrated Circuits -- Monolithic Integrated Circuit Technologies
Chapter 2 Microstrip Lines II -- Fullwave Analyses, Design Considerations, and Applications -- Methods of Fullwave Analysis -- Analysis of an Open Microstrip -- Integral Equation Method in the Space Domain -- Galerkin.s Method in the Spectral Domain -- Analysis of an Enclosed Microstrip -- Integral Equation Methods -- Finite Difference Method -- Design Considerations -- Microstrip Losses -- Power Handling Capability -- Effect of Tolerances -- Effect of Dielectric Anisotropy -- Frequency Range of Ope ration -- Lumped Element Model of Microstrip Interconnect -- Other Types of Microstrip Lines -- Suspended and Inverted Microstrip Lines -- Multilayered Dielectric Microstrip -- Thin Film Microstrip -- Valley Microstrip Lines -- Buried Microstrip Line -- S uperconducting Microstrip Circuits -- Microstrip Applications -- Lumped Elements -- Passive Components -- Active Components -- Packages and Assemblies
Chapter 3 Microstrip Discontinuities I -- Quasi-Static Analysis and Characterization -- Discontinui ty Capacitance Evaluation -- Matrix Inversion Method -- Variational Method -- Galerkins Method in the Fourier Transform Domain -- Use of Line Sources with Charge Reversal -- Discontinuity Inductance Evaluation -- Characterization of Various Discontinuitie s -- Open Ends -- Gaps in a Microstrip -- T-Junctions -- Cross Junctions -- RF Short and Via Hole -- Compensated Microstrip Discontinuities
Chapter 4 Microstrip Discontinuities II: Fullwave Analysis and Measurements -- Planar Waveguide Analysis -- Discontinuity Characterization -- Compensation of Discontinuity Reactances -- Radiation and Parasitic Coupling -- Fullwave Analysis of Discon tinuities . Galerkins Method in the Spectral Domain -- Integral Equation Solution in the Space Domain -- Time Domain Methods for Microstrip Discontinuity -- Discontinuity Measurements -- Linear Resonator Method -- Ring Resonator Method -- Scattering Param eters Measurement Method
Chapter 5 Slotlines -- Slotline Analysis -- Approximate Analysis -- Transverse Resonance Method . Galerkins Method in the Spectral Domain -- Design Considerations -- Closed-Form Expressions -- Effect of Metal Thickness -- Effec t of Tolerances -- Losses in Slotline -- Slotline Discontinuities -- Short End Discontinuty -- Open End Discontinuity -- Variants of Slotline -- Coupled Microstrip-Slotline -- Conductor-Backed Slotline -- Conductor-Backed Slotline with Superstrate -- Slot lines with Double-Layered Dielectric -- Slotline Transitions -- Coaxial-to-Slotline Transition -- Microstrip-to-Slotline Cross-Junction Transition -- Slotline Applications -- Circuits Using T-Junctions -- Circuits Using Wideband 180 Phase Shift -- Hybrid /de Ronde.s Branchline Couplers
Chapter 6 Defected Ground Structure (DGS) -- Basic Structure of DGS -- Unit Cell and Periodic DGS -- Advantages and Disadvantages of DGS -- DGS Characteristics -- Stop-Band Properties -- Slow-Wave Propagation -- Realization of Transmission Lines wit h High Characteristic Impedance -- Modeling of DGS -- Full-Wave Modeling -- Equivalent Circuit Models -- Applications of DGS -- DGS-Based Filters -- Other DGS-Based Passive Components -- DGS-Based Active Circuits -- DGS-Based Antennas
Chapter 7 Coplan ar Lines: Coplanar Waveguide and Coplanar Strips -- Quasi-Static Conformal Mapping Analysis of CPW -- Quasi-Static Conformal Mapping Analysis of CPS -- Fullwave Analysis -- Design Considerations -- Design Equations -- Dispersion -- Effect of Metallization Thickness -- Losses in Coplanar Lines -- Dielectric Loss -- Conductor Loss -- Radiation and Surface Wave Losses -- Effect of Tolerances -- Comparison with Microstrip Line and Slotline -- Transitions -- Coax-to-CPW Transitions -- Microstrip-to-CPS Transit ions -- Microstrip-to-CPW Transition -- CPW-to-CPS Transitions -- CPS-to-Slotline Transitions -- Slotline-to-CPW Transitions -- Discontinuities in Coplanar Lines -- CAD Models for Discontinuities in Coplanar Waveguide Circuits -- CAD Models for Discontinu ities in Coplanar Strips Circuits -- Coplanar Line Circuits -- Circuits with Series and Shunt Reactances in CPW -- Circuits Using Slotline-CPW Junctions
Chapter 8 Coupled Microstrip Lines -- General Analysis of Coupled Lines -- Methods of Analysis -- Coupled Mode Approach -- Even- and Odd-Mode Approach -- Characteristics of Coupled Microstrip Lines -- Quasi-Static Analysis -- Fullwave Analysis -- Di spersion Models -- Measurements on Coupled Microstrip Lines -- Impedance Measurements -- Phase Constant Measurements -- Design Considerations for Coupled Microstrip Lines -- Design Equations -- Effect of Fabrication Tolerances -- Coupled Microstrip Lines with Dielectric Overlays -- Effect of Dielectric Anisotropy -- Slot-Coupled Microstrip Lines -- Coupled Multiconductor Microstrip Lines -- Discontinuities in Coupled Microstrip Lines -- Network Model -- Open-End Discontinuity
Chapter 9 Substrate Integrated Waveguide (SIW) -- Operation Principle -- Analysis Techniques of SIW . Equivalent Rectangular Waveguide -- Full-wave Modeling of SIW Interconnects -- Full-wave Modeling of SIW Components -- Equivalent Circuits Models o f SIW Discontinuities -- Design Considerations -- Mechanisms of Loss -- Guided.wave and Leaky-wave Regions of Operation -- Band-gap Effects in SIW Structures -- SIW Design Rules -- Substrate Integrated Folded Waveguide (SIFW) -- Half-Mode Substrate Integr ated Waveguide (HMSIW) -- Substrate Integrated Slab Waveguide (SISW) -- Substrate Integrated Ridge Waveguide (SIRW) -- Transitions Between SIW and Planar Transmission Lines -- Microstrip-to-SIW Transitions -- CPW-to-SIW Transitions -- SIW Components and A ntennas -- Passive Components -- Active Circuits -- Antennas -- System-on-Substrate (SoS) -- Fabrication Technologies and Materials -- Fabrication by PCB and LTCC Technologies -- Integration of SIW on Silicon -- Use of Novel Substrate Materials -- Solutio ns for High Frequency Operation of SIW
ISBN:9781608075355
Series:eBooks
Series:Artech eBooks
Keywords: Strip transmission lines. , Microwave transmission lines. , Microwave integrated circuits.
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Call number:1118393244:ONLINE Show nearby items on shelf
Title:Difference and Differential Equations with Applications in Queueing Theory
Author(s): Haghighi
Date:2013
Publisher:Wiley
Size:1 online resource (425 p.)
ISBN:9781118393246
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Statistics
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Call number:0471129461:ONLINE Show nearby items on shelf
Title:Computer-Aided Analysis of Difference Schemes for Partial Differential Equations
Author(s): Ganzha
Date:1996
Publisher:Wiley-Interscience
Size:1 online resource (459 p.)
ISBN:9780471129462
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:TJ213.K8354::2003 Show nearby items on shelf
Title:Automatic control systems
Author(s): Benjamin C. Kuo
Farid Golnaraghi
Date:2003
Edition:8th ed.
Publisher:New York : John Wiley & Sons
Size:609 p.
Note:CD-ROM in back of book
Contents:Chapter 1. Introduction. Chapter 2. Mathematical Foundation. Chapter 3. Block Diagrams and Signal-Flow Graphs. Chapter 4. Modeling of Physical Systems. Chapter 5. State Variable Analysis. Chapter 6. Stability of Linear Control Systems. Chapter 7. Time-Domain Analysis of Control Systems. Chapter 8. Root-Locus Technique. Chapter 9. Frequency-Domain Analysis. Chapter 10. Design of Control Systems. Chapter 11. The Virtual Lab. Index. Appendix A. Complex Variable Theory. Appendix B. Differential and Difference Equations. Appendix C. Elementary Matrix Theory and Algebra.. Appendix D. Laplace Transform Table. Appendix E. Operational Amplifiers. Appendix F. Properties and Construction of the Root Loci. Appendix G. Frequency-Domain Plots. Appendix H. General Nyquist Criterion. Appendix I. Discrete-Data Control Systems. Appendix J. z-Transform Table. Appendix K. ACSYS 2002: Description of the Software. Answers to Selected Problems
ISBN:0471134767
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Call number:SPRINGER-2016-9783662498873:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python
Author(s): Hans Petter Langtangen
Date:2016
Edition:5th ed. 2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-662-49887-3
Contents:Preface -- Computing with Formulas -- Loops and Lists -- Functions and Branching -- User Input and Error Handling -- Array Computing and Curve Plotting -- Dictionaries and Strings -- Introduction to Classes -- Random Numbers and Simple Games -- Obj ect-Oriented Programming -- Sequences and Difference Equations -- Introduction to Discrete Calculus -- Introduction to Differential Equations -- A Complete Differential Equation Project -- Programming of Differential Equations -- Debugging -- Migrating Py thon to Compiled Code -- Technical Topics -- References -- Index
ISBN:9783662498873
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Computational Science and Engineering: 6
Keywords: Mathematics , Computer programming , Computer science , Computer mathematics , Physics , Mathematics , Computational Science and Engineering , Programming Techniques , Mathematics of Computing , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783662475003:ONLINE Show nearby items on shelf
Title:Replication of Chaos in Neural Networks, Economics and Physics
Author(s): Marat Akhmet
Date:2016
Edition:1st ed. 2016
Size:1 online resource (133 p.)
Note:10.1007/978-3-662-47500-3
Contents:Introduction -- Replication of Continuous Chaos about Equilibria -- Chaos Extension in Hyperbolic Systems -- Entrainment by Chaos -- Chaotification of Impulsive Systems by Perturbations -- Chaos Generation in Continuous/Discrete-Time
Models -- Economic Models with Deterministic Chaos as Generated by Exogenous Continuous/Discrete Shocks -- Replication of Chaos by Neural Networks -- ntrainment by Spatiotemporal Chaos in Glow Discharge-Semiconductor Systems
ISBN:9783662475003
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Difference equations , Functional equations , Biomathematics , Statistical physics , Mechanics , Mechanics, Applied , Economic theory , Physics , Nonlinear Dynamics , Difference and Functional Equations , Theoretical and Applied Mechanics , Economic Theory/Quantitative Economics/Mathematical Methods , Mathematical and Computational Biology
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Call number:SPRINGER-2016-9783319342191:ONLINE Show nearby items on shelf
Title:Entropy Methods for Diffusive Partial Differential Equations
Author(s): Ansgar Jüngel
Date:2016
Size:1 online resource (139 p.)
Note:10.1007/978-3-319-34219-1
Contents:1 Introduction -- 2 Fokker–Planck equations -- 3 Systematic Integration by Parts -- 4 Cross-Diffusion Systems -- 5 Towards Discrete Entropy Methods -- 6 Appendix A: Technical Tools
ISBN:9783319342191
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Difference equations , Functional equations , Functional analysis , Partial differential equations , Mathematics , Partial Differential Equations , Functional Analysis , Difference and Functional Equations
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Call number:SPRINGER-2016-9783319320137:ONLINE Show nearby items on shelf
Title:Trends in Differential Equations and Applications
Author(s):
Date:2016
Size:1 online resource (67 p.)
Note:10.1007/978-3-319-32013-7
Contents:1 M. J. Castro, J. M. Gallardo, A. Marquina: Approximate Osher-Solomon schemes for hyperbolic systems -- 2 G. Maicas, A.I. Muñoz, G. Galiano, A. Ben Hamza and E. Schiavi: Spectral shape analysis of the hippocampal structure for Alzheimer’s Diseas e diagnosis -- 3 P. Alonso, J.M. Peña, M.L. Serrano: Characterizations of M-banded ASSR matrices -- 4 E. Casas, K. Chrysafinos: A review of numerical analysis for the discretization of the velocity tracking problem -- 5 G. Castiñeira and J.M. Rodríguez : Asymptotic analysis of a viscous flow in a curved pipe with elastic walls -- 6 J. Mura and A. Caiazzo: A two-scale homogenization approach for the estimation of porosity in elastic media -- 7 J. M. Carnicer, Y. Khiar and J. M. Pena: A matrix approach to the Newton formula and divided differences -- 8 B. Climent-Ezquerra and F. Guillen-Gonzalez: Long-time behavior of a Cahn-Hilliard-Navier-Stokes vesicle-fluid interaction model -- 9 G. Viglialoro: Explicit blow-up time for two porous medium
problems with different reaction terms -- 10 A. Domínguez-Delgado, C. Domínguez-Torres and J. Iñesta-Vaquera: Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Facade for Typical Meteorological Months Data in Southern Spai n -- 11 E. Barrena, G. Laporte, F. A. Ortega, M. A. Pozo: Planning ecotourism routes in nature parks -- 12 M. Isabel García-Planas and M. Dolors Magret: Isometries of the Hamming space and equivalence relations of linear codes over a finite field -- 13 D aniela Giachetti, Pedro J. Martínez-Aparicio and François Murat: Advances in the study of singular semilinear elliptic problems -- 14 A. Baeza, P. Mulet, and D. Zorio: Weighted extrapolation techniques for finite difference methods on complex domains wi th Cartesian meshes -- 15 V. Domínguez and C. Turc: High order Nystrom methods for transmission problems for Helmholtz Equation -- 16 A. Algaba, N. Fuentes, C. García and M. Reyes: Algebraic inverse integrating factors for a class of generalized
nilpotent systems -- 17 R. Burger, F. Guerrero,M.C. Martı and P. Mulet: WENO schemes for multi-dimensional porous media flow without capillarity -- 18 L. Fan, P. Monk, and V. Selgas: Time dependent scattering in an acoustic waveguide via convolutio n quadrature and the Dirichlet-to-Neumann map -- 19 M. Albareda-Sambola, L. I. Martínez-Merino and A. M. Rodríguez-Chía: Location of emergency facilities with uncertainty in the demands -- 20 P. Díaz de Alba and G. Rodriguez: Regularized solution of a nonlinear problem in applied geophysics -- 21 A. Barreras and J.M. Peña: Total positivity: a new inequality and related classes of matrices -- 22 A. Ruiz and C. Muriel: Applications of C∞-symmetries in the construction of solvable structures -- 23 R. de la Rosa and M. S. Bruzón: Travelling wave solutions of a generalized variable-coefficient Gardner equation -- 24 Rodolfo Bermejo and Laura Saavedra: A second order local projection Lagrange-Galerkin method for Navier-Stokes equations at high
Reynolds numbers -- 25 F. Guillén-González and J. R. Rodrıguez-Galvan: Finite Element approximation of Hydrostatic Stokes Equations: Review and Tests
ISBN:9783319320137
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SEMA SIMAI Springer Series: 8
Keywords: Mathematics , Differential equations , Partial differential equations , Mathematical physics , Computer mathematics , Mathematics , Partial Differential Equations , Ordinary Differential Equations , Mathematical Applications in the Physical Sciences , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319297361:ONLINE Show nearby items on shelf
Title:Differential and Difference Equations A Comparison of Methods of Solution
Author(s): Leonard C Maximon
Date:2016
Size:1 online resource (162 p.)
Note:10.1007/978-3-319-29736-1
Contents:Preface -- Introduction -- 1 Operators -- 2 Solution of homogeneous and inhomogeneous linear equations -- 3 First order homogeneous and inhomogeneous linear equations -- 4 Second-order homogeneous and inhomogeneous equations -- 5
Self-adjoint linear equations -- 6 Green’s function -- 7 Generating function, z-transforms, Laplace transforms and the solution of linear differential and difference equations -- 8 Dictionary of difference equations with polynomial
coefficients -- Appendix A: Difference operator -- Appendix B: Notation -- Appendix C: Wronskian Determinant -- Appendix D: Casoratian Determinant -- Appendix E: Cramer’s Rule -- Appendix F: Green’s function and the Superposition
principle -- Appendix G: Inverse Laplace transforms and Inverse Generating functions -- Appendix H: Hypergeometric function -- Appendix I: Confluent Hypergeometric function -- Appendix J. Solutions of the second kind -- Bibliography
ISBN:9783319297361
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Difference equations , Functional equations , Differential equations , Mathematical physics , Applied mathematics , Engineering mathematics , Physics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering , Difference and Functional Equations , Mathematical Applications in the Physical Sciences , Ordinary Differential Equations
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Call number:SPRINGER-2016-9783319290751:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence II Simple and Multiple Summability
Author(s): Michèle Loday-Richaud
Date:2016
Size:1 online resource (272 p.)
Note:10.1007/978-3-319-29075-1
Contents:Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems - - 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References
ISBN:9783319290751
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2154
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Difference and Functional Equations , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf
Title:Computational Analysis AMAT, Ankara, May 2015 Selected Contributions
Author(s):
Date:2016
Size:1 online resource (396 p.)
Note:10.1007/978-3-319-28443-9
Contents:Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
ISBN:9783319284439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 155
Keywords: Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions
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Call number:SPRINGER-2016-9783319270678:ONLINE Show nearby items on shelf
Title:Partial Differential Equations: Modeling, Analysis and Numerical Approximation
Author(s): Hervé Le Dret
Date:2016
Edition:1st ed. 2016
Size:1 online resource (21 p.)
Note:10.1007/978-3-319-27067-8
Contents:Foreword -- Mathematical modeling and PDEs -- The finite difference method for elliptic problems -- A review of analysis -- The variational formulation of elliptic PDEs.-Variational approximation methods for elliptic PDEs -- The finite element meth od in dimension two -- The heat equation -- The finite difference method for the heat equation -- The wave equation -- The finite volume method -- Index -- References
ISBN:9783319270678
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:International Series of Numerical Mathematics: 168
Keywords: Mathematics , Partial differential equations , Mathematics , Partial Differential Equations
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Call number:SPRINGER-2014-9783662441404:ONLINE Show nearby items on shelf
Title:Theory and Applications of Difference Equations and Discrete Dynamical Systems [electronic resource] : ICDEA, Muscat, Oman, May 26 - 30, 2013
Author(s): Ziyad AlSharawi
Jim M Cushing
Saber Elaydi
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices inthe theory and appli cations of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular,mathematical biology, ecology, and epidemi ology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear differenceequations, chaos and wild chaos in Lorenz-type systems, advances in peri odic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of differenceequations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.
Contents:Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu
Benford solutions of linear difference equations: Arno Berger and Gideon Eshun
Harvesting and dynamics in some one
dimensional population models: Eduardo Liz and Frank M. Hilker
Chaos and wild chaos in Lorenz
type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer
Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas
Advances in periodic difference equations with open problems: Ziyad A
ISBN:9783662441404
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v102
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems , Genetics Mathematics
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Call number:SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python [electronic resource]
Author(s): Hans Petter Langtangen
Date:2014
Edition:4th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012
Contents:Preface
Computing with Formulas
Loops and Lists
Functions and Branching
User Input and Error Handling
Array Computing and Curve Plotting
Dictionaries and Strings
Introduction to Classes
Random Numbers and Simple Games
Object
Oriented Programming
Sequences and Difference Equations
Introduction to Discrete Calculus
Introduction to Differential Equations
A Complete Differential Equation Project
Programming of Differential Equations
Debugging
Migrating Python to Compiled Code
Technical Topics
Bibliography
Index
ISBN:9783642549595
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Computer science
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Call number:SPRINGER-2014-9783642393860:ONLINE Show nearby items on shelf
Title:The Concept of Stability in Numerical Mathematics [electronic resource]
Author(s): Wolfgang Hackbusch
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precisedefinition of stability hol ds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methodsfor ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integralequations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
Contents:Preface
Introduction
Stability of Finite Algorithms
Quadrature
Interpolation
Ordinary Differential Equations
Instationary Partial Difference Equations
Stability for Discretisations of Elliptic Problems
Stability for Discretisations of Integral Equations
Index
ISBN:9783642393860
Series:eBooks
Series:SpringerLink
Series:Springer Series in Computational Mathematics, 0179-3632 : v45
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Integral equations , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2014-9783319082516:ONLINE Show nearby items on shelf
Title:Recent Advances in Delay Differential and Difference Equations [electronic resource]
Author(s): Ferenc Hartung
Mihly Pituk
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Delay differential and difference equations serve as models for a range of processes in biology, physics, engineering, and control theory. In this volume, the participants of the International Conference on Delay Differential andDifference Equations and Applications, Balatonfred, Hungary, July 15-19, 2013 present recent research in this quickly-evolving field. The papers relate to the existence, asymptotic, and oscillatory properties of the solutions
Contents:On Necessary and Sufficient Conditions for Preserving Convergence Rates to Equilibrium in Deterministically and Stochastically Perturbed Differential Equations with Regularly Varying Nonlinearity
Comparison Theorems for Second Order Functional Differential Equations
Analysis of Qualitative Dynamic Properties of Positive Polynomial Systems using Transformations
Almost Oscillatory Solutions of Second Order Difference Equations of Neutral Type
Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
Stability Criteria for Delay Differential Equations
Anal
ISBN:9783319082516
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v94
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems
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Call number:SPRINGER-2014-9783319064475:ONLINE Show nearby items on shelf
Title:Regularity of Difference Equations on Banach Spaces [electronic resource]
Author(s): Ravi P Agarwal
Claudio Cuevas
Carlos Lizama
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevantresults. They address recent advances in the field, as well as basic semigroup and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research.This book is intended for graduate students and res earchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis
Contents:1.Discrete Semi groups and Cosine Operators
2. Maximal regularity and the method of Fourier Multipliers
3. First Order Linear Difference Equations
4. First Order Semi linear Difference Equations
5. Second Order Linear Difference Equations
6. Second Order Semi linear
7. Applications
ISBN:9783319064475
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations
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Call number:SPRINGER-2014-9783319054551:ONLINE Show nearby items on shelf
Title:High Order Nonlinear Numerical Schemes for Evolutionary PDEs [electronic resource] : Proceedings of the European Workshop HONOM 2013, Bordeaux, France, March 18-22, 2013
Author(s): Rmi Abgrall
Hlose Beaugendre
Pietro Marco Congedo
Ccile Dobrzynski
Vincent Perrier
Mario Ricchiuto
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book collects papers presented during the European Workshop on High Order Nonlinear Numerical Methods for Evolutionary PDEs (HONOM 2013) that was held at INRIA Bordeaux Sud-Ouest, Talence, France in March, 2013. The centraltopic is high order me thods for compressible fluid dynamics. In the workshop, and in this proceedings, greater emphasis is placed on the numerical than the theoretical aspects of this scientific field. The range of topics is broad,extending through algorithm design, accuracy, large scale computing, complex geometries, discontinuous Galerkin, finite element methods, Lagrangian hydrodynamics, finite difference methods and applications and uncertaintyquantification. These techniques find practical applications in such fields as f luid mechanics, magnetohydrodynamics, nonlinear solid mechanics, and others for which genuinely nonlinear methods are needed
Contents:Highorder AsymptoticPreserving methods for nonlinear relaxation from hyperbolic systems to convectiondiffusion equations
A hybrid finite difference
WENO scheme for large eddy simulation of compressible flows
Finite volume formulation of a third
order residual
based compact scheme for unsteady flow computations
Parallel implementation of k
exact Finite Volume Reconstruction on Unstructured Grids
3D Application of Higher Order Multigrid Algorithms for a RANS
kw DG
Solver
Taylor expansion method for linear lattice Boltzmann schemes with an external force. Application to bo
ISBN:9783319054551
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Computational Science and Engineering, 1439-7358 : v99
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science Mathematics
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Call number:SPRINGER-2014-9783319026633:ONLINE Show nearby items on shelf
Title:The Mimetic Finite Difference Method for Elliptic Problems [electronic resource]
Author(s): Loureno Beiro Veiga
Konstantin Lipnikov
Gianmarco Manzini
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity,magnetostatics and plate b ending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. Thebook provides a practical guide for those scient ists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examplesare provided to help the reader to understand and implement this metho d. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretizationtechnology and to extend it to various applications
Contents:1 Model elliptic problems
2 Foundations of mimetic finite difference method
3 Mimetic inner products and reconstruction operators
4 Mimetic discretization of bilinear forms
5 The diffusion problem in mixed form
6 The diffusion problem in primal form
7 Maxwells equations. 8. The Stokes problem. 9 Elasticity and plates
10 Other linear and nonlinear mimetic schemes
11 Analysis of parameters and maximum principles
12 Diffusion problem on generalized polyhedral meshes
ISBN:9783319026633
Series:eBooks
Series:SpringerLink
Series:MS&A - Modeling, Simulation and Applications, 2037-5255 : v11
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science Mathematics , Engineering mathematics
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Call number:SPRINGER-2014-9783319022918:ONLINE Show nearby items on shelf
Title:Discrete Dynamical Models [electronic resource]
Author(s): Ernesto Salinelli
Franco Tomarelli
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several disciplineas Mathematical Analysi s, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems arepresented, paying particular attention to the stabil ity analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to thestudy of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. Thebook is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Eco nomics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations.The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty in the last chapter the detailed solution is given for most of them
Contents:1 Recursive phenomena and difference equations
2 Linear difference equations
3 Discrete dynamical systems: one
step scalar equations
4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos
5 Discrete dynamical systems: vector equations
6 Markov chains
7 Matrix
8 Solutions
ISBN:9783319022918
Series:eBooks
Series:SpringerLink
Series:UNITEXT, 2038-5714 : v76
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functional equations , Differentiable dynamical systems
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Call number:SPRINGER-2014-9783034808163:ONLINE Show nearby items on shelf
Title:Operator Theory, Operator Algebras and Applications [electronic resource]
Author(s): M. Amlia Bastos
Amarino Lebre
Stefan Samko
Ilya M Spitkovsky
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This book consists of research papers that cover the scientific areas of the International Workshop on Operator Theory, Operator Algebras and Applications, held in Lisbon in September 2012. The volume particularly focuses on (i)operator theory and ha rmonic analysis (singular integral operators with shifts pseudodifferential operators, factorization of almost periodic matrix functions inequalities Cauchy type integrals maximal and singular operators ongeneralized Orlicz-Morrey spaces the Riesz potenti al operator modification of Hadamard fractional integro-differentiation), (ii) operator algebras (invertibility in groupoid C*-algebras inner endomorphisms of some semi group,crossed products C*-algebras generated by mappings which have finite orbits Foln er sequences in operator algebras arithmetic aspect of C*_r SL(2) C*-algebras of singular integral operators algebras of operator sequences) and (iii)mathematical physics (operator approach to diffraction from polygonal-conical screens Poisson geometry of difference Lax operators)
Contents:Flner Sequences in Operator Theory and Operator Algebras
On the Factorization of Some Block Triangular Almost Periodic Matrix Functions
A C
algebra of Singular Integral Operators with Shifts Similar to Affine Mappings
On Cauchy Type Integrals Related to the Cimmino System of Partial Differential Equations
Singular Integral Operators with Linear Fractional Shifts on the Unit Circle
Diffraction from Polygonal
Conical Screens, An Operator Approach
Boundedness of the Maximal and Singular Operators on Generalized Orlicz
Morrey Spaces
On a Question by Markus Seidel
Inver
ISBN:9783034808163
Series:eBooks
Series:SpringerLink
Series:Operator Theory: Advances and Applications, 0255-0156 : v242
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Differential equations, partial
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Call number:SPRINGER-2014-9781461471325:ONLINE Show nearby items on shelf
Title:Walter Gautschi, Volume 3 [electronic resource] : Selected Works with Commentaries
Author(s): Claude Brezinski
Ahmed Sameh
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He isworld renowned for his pi oneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi:Selected Works with Commentaries, is a compilation of G autschis most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemoratingWalters prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical ConditioningSpecial Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other QuadraturesGauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and B iography Miscellanea Works of Werner Gautschi
Contents:Part I Commentaries
Linear recurrence relations
Ordinary differential equations
Computer algorithms and software packages
History and biography
Miscellanea
Part II Reprints
Linear difference equations
Ordinary differential equations
Computer algorithms and software packages
History and biography
Miscellanea
Part III Werner Gautschi
Publications
Obituaries
Recording
ISBN:9781461471325
Series:eBooks
Series:SpringerLink
Series:Contemporary Mathematicians
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Differential Equations , Numerical analysis
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Call number:SPRINGER-2014-9781461470496:ONLINE Show nearby items on shelf
Title:Walter Gautschi, Volume 2 [electronic resource] : Selected Works with Commentaries
Author(s): Claude Brezinski
Ahmed Sameh
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He isworld renowned for his pi oneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi:Selected Works with Commentaries, is a compilation of G autschis most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemoratingWalters prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical ConditioningSpecial Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other QuadraturesGauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and B iography Miscellanea Works of Werner Gautschi
Contents:Part I Commentaries
Orthogonal polynomials on the real line
Polynomials orthogonal on the semicircle
Chebyshev quadrature
Kronrod and other quadratures
Gauss type quadrature
Part II Reprints
Orthogonal polynomials on the real line
Polynomials orthogonal on the semicircle
Chebyshev quadrature
Kronrod and other quadratures
ISBN:9781461470496
Series:eBooks
Series:SpringerLink
Series:Contemporary Mathematicians
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Differential Equations , Numerical analysis
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Call number:SPRINGER-2014-9781461470342:ONLINE Show nearby items on shelf
Title:Walter Gautschi, Volume 1 [electronic resource] : Selected Works with Commentaries
Author(s): Claude Brezinski
Ahmed Sameh
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He isworld renowned for his pi oneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area. This three-volume set, Walter Gautschi:Selected Works with Commentaries, is a compilation of G autschis most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemoratingWalters prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science. Selected Works with Commentaries, Vol. 1 Numerical ConditioningSpecial Functions Interpolation and Approximation Selected Works with Commentaries, Vol. 2 Orthogonal Polynomials on the Real Line Orthogonal Polynomials on the Semicircle Chebyshev Quadrature Kronrod and Other QuadraturesGauss-type Quadrature Selected Works with Commentaries, Vol. 3 Linear Difference Equations Ordinary Differential Equations Software History and B iography Miscellanea Works of Werner Gautschi
Contents:Preface
Part I Walter Gautschi
Biography of Walter Gautschi
A brief summary of my scientific work and highlights of my career
Publications
Part II Commentaries
Numerical conditioning
Special functions
Interpolation and approximation
Part III Reprints
Numerical conditioning
Special functions
Interpolation and approximation
ISBN:9781461470342
Series:eBooks
Series:SpringerLink
Series:Contemporary Mathematicians
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Differential Equations , Numerical analysis
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Call number:SPRINGER-2014-9781447154600:ONLINE Show nearby items on shelf
Title:Analysis of Finite Difference Schemes [electronic resource] : For Linear Partial Differential Equations with Generalized Solutions
Author(s): Boko S Jovanovi
Endre Sli
Date:2014
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential equations with nonsmooth solutions. Finite difference methods are aclassical class of tec hniques for the numerical approximation of partial differential equations. Traditionally, their convergence analysis presupposes the smoothness of the coefficients, source terms, initial and boundary data, and ofthe associated solution to the differential equation. This then enables the application of elementary analytical tools to explore their stability and accuracy. The assumptions on the smoothness of the data and of the associatedanalytical solution are however frequently unrealistic. There is a weal th of boundary and initial value problems, arising from various applications in physics and engineering, where the data and the corresponding solutionexhibit lack of regularity. In such instances classical techniques for the error analysis of finite dif ference schemes break down. The objective of this book is to develop the mathematical theory of finite difference schemes for linearpartial differential equations with nonsmooth solutions. Analysis of Finite Difference Schemes is aimed at researchers and graduate students interested in the mathematical theory of numerical methods for the approximate solution ofpartial differential equations
Contents:Distributions and function spaces
Elliptic boundary
value problems
Finite difference approximation of parabolic problems
Finite difference approximation of hyperbolic problems
ISBN:9781447154600
Series:eBooks
Series:SpringerLink
Series:Springer Series in Computational Mathematics, 0179-3632 : v46
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis
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Call number:SPRINGER-2013-9783642388064:ONLINE Show nearby items on shelf
Title:Random Matrices and Iterated Random Functions [electronic resource] : Mnster, October 2011
Author(s): Gerold Alsmeyer
Matthias Lwe
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:Random Matrices are one of the major research areas in modern probability theory, due to their prominence in many different fields such as nuclear physics, statistics, telecommunication, free probability, non-commutative geometry,and dynamical system s. A great deal of recent work has focused on the study of spectra of large random matrices on the one hand and on iterated random functions, especially random difference equations, on the other. However, themethods applied in these two research areas are fairly dissimilar. Motivated by the idea that tools from one area could potentially also be helpful in the other, the volume editors have selected contributions that present results andmethods from random matrix theory as well as from the theory of itera ted random functions. This work resulted from a workshop that was held in Mnster, Germany in 2011. The aim of the workshop was to bring together researchers fromtwo fields of probability theory: random matrix theory and the theory of iterated random funct ions. Random matrices play fundamental, yet very different roles in the two fields. Accordingly, leading figures and young researchers gavetalks on their field of interest that were also accessible to a broad audience
Note:Springer eBooks
Contents:E. Le Page: Tails of a stationary probability measure for an affine stochastic recursion on the line
Yv. Guivarch: On homogeneity at infinity of stationary measures for affine stochastic recursions
M. Stolz: Limit theorems for random elements of the compact classical groups
T. Kriecherbauer: Universality of local eigenvalue statistics
R. Speicher: Asymptotic eigenvalue distribution of random matrices and free stochastic analysis
M. Peign: Conditioned random walk in Weyl chambers and renewal theory in a cone
D. Buraczewski: The linear stochastic equation R =_d \sum_{ i=1}
ISBN:9783642388064
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v53
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781461485230:ONLINE Show nearby items on shelf
Title:Lyapunov-type Inequalities [electronic resource] : With Applications to Eigenvalue Problems
Author(s): Juan Pablo Pinasco
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:The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue asymptotics driven bythe coupling of the equa tions instead of the order of the equations. For p=2, the coupling and the order of the equations are the same, so this cannot happen in linear problems. Another striking difference between linear andquasilinear second order differential operators is the existence of Lyapunov-type inequalities in R^n when p>n. Since the linear case corresponds to p=2, for the usual Laplacian there exists a Lyapunov inequality only forone-dimensional problems. For linear higher order problems, several Lyapunov-type inequal ities were found by Egorov and Kondratiev and collected in On spectral theory of elliptic operators, Birkhauser Basel 1996. However, there existsan interesting interplay between the dimension of the underlying space, the order of the differential operator , the Sobolev space where the operator is defined, and the norm of the weight appearing in the inequality which is not fullydeveloped. Also, the Lyapunov inequality for differential equations in Orlicz spaces can be used to develop an oscillation theory, bypassing the classical sturmian theory which is not known yet for those equations. For more generaloperators, like the p(x) laplacian, the possibility of existence of Lyapunov-type inequalities remains unexplored.
Note:Springer eBooks
ISBN:9781461485230
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461481454:ONLINE Show nearby items on shelf
Title:Mathematics for Econometrics [electronic resource]
Author(s): Phoebus J Dhrymes
Date:2013
Edition:4th 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:The fourth edition of this book continues to deal with a number of mathematical topics that are of great importance in the study of classical econometrics. The major expansion involves a more complete coverage of basic aspects ofmathematics that cont inue to play an increasingly significant role in the literature of econometrics. Thus, the chapter on difference equations has been expanded to include enhanced treatment of lag operators (backward shift operatorsin the statistical literature) that are im portant not only in the context of the dynamic simultaneous equation GLSEM (general linear structural econometric model), but also time series analysis. New features in this edition includechapters on probability theory and the probabilistic basis of clas sical econometrics. There is a lengthy chapter on matrix algebra, which takes the reader from the most elementary aspects to the partitioned inverses, characteristicroots and vectors, symmetric, and orthogonal and positive (semi) definite matrices. The bo ok also covers pseudo-inverses, solutions to systems of linear equations, solutions of vector difference equations with constant coefficients andrandom forcing functions, matrix differentiation, and permutation matrices. Its novel features include an intr oduction to asymptotic expansions, and examples of applications to the general-linear model (regression) and the generallinear structural econometric model (simultaneous equations). Also unique to this edition are two fairly extensive chapters on applicat ions to the GLM (general linear model), GLSEM and time series analysis which treat issues relevantto their underlying theoretical bases, estimation and forecasting. Professor Dhrymes is currently Professor of Economics at Columbia University. Earlier he t aught at Harvard, University of Pennsylvania, University of California at LosAngeles, and Monash University in Australia. He is a fellow of the Econometric Society and the American Statistical Associati
Note:Springer eBooks
Contents:Preface
Chapters
Bibliography
References
ISBN:9781461481454
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematics , Economics Statistics , Econometrics
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Call number:SPRINGER-2013-9781461473336:ONLINE Show nearby items on shelf
Title:Differential and Difference Equations with Applications [electronic resource] : Contributions from the International Conference on Differential & Difference Equations and Applications
Author(s): Sandra Pinelas
Michel Chipot
Zuzana Dosla
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:Springer eBooks
ISBN:9781461473336
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v47
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems , Integral equations , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461473060:ONLINE Show nearby items on shelf
Title:Derivative Securities and Difference Methods [electronic resource]
Author(s): You-lan Zhu
Xiaonan Wu
I-Liang Chern
Zhi-zhong Sun
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:This book is mainly devoted to finite difference numerical methods for solving partial differential equation (PDE) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided intotwo main parts. In th e first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE initial/initial-boundary value problems for different sets of derivativeproducts (vanilla and exotic options, and int erest rate derivatives). For many option problems, the analytic solutions are also derived with details.The second part is devoted to explaining and analyzing the application of finitedifferences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products withearly exercise feature) linear complementarity and free boundary problems. In each chapter, th e techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook forgraduate students following a mathematical finance program as well as a valuable reference for those researchers w orking in numerical methodsof financial derivatives. For this new edition, the book has been updated throughout withmany new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are prov ided and the proof of solution-uniqueness of derivative security problems and the completestability analysis of numerical methods for two-dimensional problems are added. Review of first edition: the book is highly well designed and structured as a textboo k for graduate students following a mathematical financeprogram, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable refe
Note:Springer eBooks
Contents:Introduction
European Style Derivatives
American Style Derivatives
Exotic Options
Interest Rate Derivative Securities
Basic Numerical Methods
Finite Difference Methods
Initial
Boundary Value and LC Problems
Free
Boundary Problems
Interest Rate Modeling
ISBN:9781461473060
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Finance, 1616-0533
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Finance , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2013-9781461471721:ONLINE Show nearby items on shelf
Title:Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications [electronic resource] : In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and AppliedMathematics / edited by Oleg P. Iliev, Svetozar D. Margenov, Peter D Minev, Panayot S. Vassilevski, Ludmil T Zikatanov
Author(s): Oleg P Iliev
Svetozar D Margenov
Peter D Minev
Panayot S Vassilevski
Ludmil T Zikatanov
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:One of the currentmain challenges in the areaof scientific computing is the design and implementation of accuratenumerical models forcomplex physical systems which aredescribed by time-dependent coupled systems ofnonlinear PDEs.This volume integrates the works of experts in computational mathematics and its applications, with a focuson modern algorithms which are at the heart of accurate modeling: adaptive finite element methods,conservative finite difference methods and finite volume methods,and mul tilevel solution techniques. Fundamental theoretical results are revisited in survey articles, and new techniques in numerical analysis are introduced.Applications showcasing the efficiency, reliability, and robustness of the algorithms in porous media, s tructural mechanics, and electromagnetism are presented. Researchers and graduate students in numerical analysis and numericalsolutions of PDEsand their scientific computing applications will find this book useful.
Note:Springer eBooks
Contents:Improving Conservation for First
Order System Least Squares Finite
Element Methods, James Adler, Panayot Vassilevski
Multiscale Coarsening for Linear Elasticity by Energy Minimization, Heiko Andrae, Marco Buck, Oleg Iliev
Preconditioners for some matrices of two
by
two block form, with applications, I, Owe Axelsson
A multigrid algorithm for an elliptic problem with a perturbed boundary condition, Andrea Bonito, Joe Pasciak
Parallel Unsmoothed Aggregation Algebraic Multigrid Algorithms on GPUs, James Brannick, Yao Chen, Xiaozhe Hu, Ludmil Zikatanov
Aspects of Guaranteed Error
ISBN:9781461471721
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v45
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2013-9781461463931:ONLINE Show nearby items on shelf
Title:Advances in Applied Mathematics and Approximation Theory [electronic resource] : Contributions from AMAT 2012
Author(s): George A Anastassiou
Oktay Duman
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:Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the bestarticlespresented at Applied Mathematics and Approximation Theory 2012, an international conference heldin Ankara, Turkey, May 17-20, 20 12. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators,statistical approximation, fuzzy approximation, fracti onal analysis, semigroups, inequalities, special functions and summability. The collection willbe a useful resource for researchers in applied mathematics, engineering andstatistics
Note:Springer eBooks
Contents:Approximation by Neural Networks Iterates. George A. Anastassiou
Univariate Hardy Type Fractional Inequalities. George A. Anastassiou
Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman
On the g
Jacobi Matrix Functions Bayram C ekim and Esra Erkus
Duman
Linear Combinations of Genuine Szasz
Mirakjan
Durrmeyer Operators. Margareta Heilmann and Gancho Tachev
Extensions of Schurs Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz
Joachim Rack
An Example of Optimal Nodes for Interpolati
ISBN:9781461463931
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v41
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461454779:ONLINE Show nearby items on shelf
Title:Introduction to Perturbation Methods [electronic resource]
Author(s): Mark H Holmes
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:This introductory graduate text is based on a graduate course the author has taught repeatedly over the last twenty or so years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with anintroductory development involving ordinary differential equations, and goes on to cover more advanced topics such as systems and partial differential equations. Moreover, it also contains material arising from current researchinterest, including homogenisation, slender body the ory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of applicationareas. For this new edition every section has been updated throughout, many onl y in minor ways, while others have been completely rewritten. New material has also been added. This includes approximations for weakly coupledoscillators, analysis of problems that involve transcendentally small terms, an expanded discussion of Kummer fu nctions, and metastability. Two appendices have been added, one on solving difference equations and another on delayequations. Additional exercises have been included throughout. Review of first edition: Those familiar with earlier expositions of singular perturbations for ordinary and partial differential equations will find many traditionalgems freshly presented, as well as many new topics. Much of the excitement lies in the examples and the more than 250 exercises, which are guaranteed to provoke and c hallenge readers and learners with various backgrounds and levels ofexpertise. (SIAM Review, 1996 )
Note:Springer eBooks
Contents:Preface
Preface to Second Edition
Introduction to Asymptotic Approximations
Matched Asymptotic Expansions
Multiple Scales
The WKB and Related Methods
The Method of Homogenization
Introduction to Bifurcation and Stability
References
Index
ISBN:9781461454779
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v20
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations , Differential equations, partial
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Call number:SPRINGER-2013-9781461453512:ONLINE Show nearby items on shelf
Title:Computational Electromagnetics [electronic resource]
Author(s): Thomas Rylander
Par Ingelstrm
Anders Bondeson
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:Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the mostpopular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments. In particular it focuses on how these methods are used to obtain valid approximationsto the solutions of Maxwell's equations, using, for example, staggered grids and edge elements. The main goal of the book is to make the reader aware of different sources of errors in numerical computations, and also to providethe tools for assessing the accuracy of numerical methods and their solution s. To reach this goal, convergence analysis, extrapolation, von Neumann stability analysis, and dispersion analysis are introduced and used frequentlythroughout the book. Another major goal of the book is to provide students with enough practical understa nding of the methods so they are able to write simple programs on their own. To achieve this, the book contains several MATLABprograms and detailed description of practical issues such as assembly of finite element matrices and handling of unstructured me shes. Finally, the book summarizes the strengths and weaknessesof the different methods to help thestudent decide which method may be best for each problem. In this second edition the book was updated throughout and extensive computer projects are include d. Reviews of previous edition: This well-written monograph is devoted tostudents at the undergraduate level, but is also useful for practising engineers. (Zentralblatt MATH, 2007)
Note:Springer eBooks
Contents:Introduction
Convergence
Finite Differences
Eigenvalues
The Finite
Difference Time
Domain Method
The Finite Element Method
The Method of Moments
Summary and Overview
Large Linear Systems
Krylov Methods
ISBN:9781461453512
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Applied Mathematics, 0939-2475 : v51
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Numerical analysis , Computer engineering
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Call number:SPRINGER-2013-9781461440574:ONLINE Show nearby items on shelf
Title:Informal Introduction to Stochastic Processes with Maple [electronic resource]
Author(s): Jan Vrbik
Paul Vrbik
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:The book presents an introduction to Stochastic Processes including Markov Chains, Birth and Death processes, Brownian motion andAutoregressive models. The emphasis is on simplifying both the underlying mathematics and theconceptual understanding of random processes. In particular, non-trivial computations are delegated to a computer-algebra system, specifically Maple (although other systems can be easily substituted). Moreover, great care istaken to properly introduce the required mathematical tools (such as difference equations and generating functions) so that even students with only a basic mathematical background will find the book self-contained. Manydetailed examples are given throughout the text to facilitate and reinforce learning. Jan Vrbik has been a Professor of Mathematics and Statistics at Brock University in St Catharines, Ontario, Canada, since 1982. Paul Vrbik iscurrently a PhD candidate in Computer Science at the University of Western Ontario in London, Ontario, Canada
Note:Springer eBooks
Contents:Contents
Preface
Finite Markov Chains
Finite Markov Chains II
Branching Processes
Renewal Theory
Poisson Process
Birth and Death Processes I
Birth and Death Processes II
Continuous
Time Markov Chains
Brownian Motion
Autoregressive Models
Basic Probability Review
Maple Programming
References
ISBN:9781461440574
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2012-9783642324789:ONLINE Show nearby items on shelf
Title:Computational Methods for Physicists [electronic resource] : Compendium for Students
Author(s): Simon Sirca
Martin Horvat
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays significant attention to error estimates, stabilityand convergence issues as well as to the ways to optimize program execution speeds. Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealtwith, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Lessstress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercialtools
Note:Springer eBooks
Contents:Basics of numerical analysis
Solution of nonlinear equations
Matrix methods
Transformations of functions and signals
Statistical description and modeling of data
Modeling and analysis of time series
Initial
value problems for ordinary differential equations
Boundary
value problems for ordinary differential equations
Difference methods for one
dimensional partial differential equations
Difference methods for partial differential equations in more than one dim
Spectral methods for partial differential equations
ISBN:9783642324789
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Physics, 1868-4513
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry , Computer science Mathematics , Computer science , Engineering mathematics
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Call number:SPRINGER-2012-9783642302930:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python [electronic resource]
Author(s): Hans Petter Langtangen
Date:2012
Edition:3rd ed. 2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science.
Note:Springer eBooks
Contents:Preface
Computing with Formulas
Loops and Lists
Functions and Branching
Input Data and Error Handling
Array Computing and Curve Plotting
Files, Strings and Dictionaries
Introduction to Classes
Random Numbers and Simple Games
Object
Oriented Programming
Sequences and Difference Equations
Introduction to Discrete Calculus
Introduction to Differential Equations
A Complete Differential Equation Project
Programming of Differential Equations
Debugging
Migrating Python to Compiled Code
Technical Topics
Bibliography
Index
ISBN:9783642302930
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Computational Science and Engineering, 1611-0994 : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Computer science
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Call number:SPRINGER-2012-9783642284397:ONLINE Show nearby items on shelf
Title:Stochastic Models in Life Insurance [electronic resource]
Author(s): Michael Koller
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book provides a sound mathematical base for life insurance mathematics and applies the underlying concepts to concrete examples. Moreover the models presented make it possible to model life insurance policies by means ofMarkov chains. Two chapter s covering ALM and abstract valuation concepts on the background of Solvency II complete this volume. Numerous examples and a parallel treatment of discrete and continuous approaches help the reader toimplement the theory directly in practice
Note:Springer eBooks
Contents:1. A general life insurance model
2. Stochastic processes
3. Interest rate
4. Cash flows and the mathematical reserve
5. Difference equations and differential equations
6. Examples and problems from applications
7. Hattendorff's Theorem
8. Unit
linked policies
9. Policies with stochastic interest rate
10. Technical analysis
11. Abstract valuation
12. Policyholder bonus mechanism
A. Notes on stochastic integration
B. Examples
C. Mortality rates in Germany
D. Mortality rates in Switzerland
E. Java code for the calculation of the Markov model
Ref
ISBN:9783642284397
Series:e-books
Series:SpringerLink (Online service)
Series:EAA Series, 1869-6929
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Economics Statistics
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Call number:SPRINGER-2012-9783034804318:ONLINE Show nearby items on shelf
Title:A Comprehensive Treatment of q-Calculus [electronic resource]
Author(s): Thomas Ernst
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
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Note:To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom theywere written. This c onfusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new andinteresting notation for q-calculus based on logar ithms. For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see theconnection between q-hypergeometric functions and the q-gamma function, somethi ng that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations.Beyond a thorough review of the historical development of q-calculus, italso presents the domains of m odern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few
Note:Springer eBooks
Contents:1 Introduction
2 The different languages of q
3 Pre q
Analysis
4 The q
umbral calculus and the semigroups. The Nrlund calculus of finite diff
5 q
Stirling numbers
6 The first q
functions
7 An umbral method for q
hypergeometric series
8 Applications of the umbral calculus
9 Ciglerian q
Laguerre polynomials
10 q
Jacobi polynomials
11 q
Legendre polynomials and Carlitz
AlSalam polynomials
12 q
functions of many variables
13 Linear partial q
difference equations
14 q
Calculus and physics
15 Appendix: Other philosophies
ISBN:9783034804318
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functions, special , Number theory
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Call number:SPRINGER-2012-9783034802970:ONLINE Show nearby items on shelf
Title:Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations [electronic resource] : 21st International Workshop on Operator Theory and Applications, Berlin, July 2010
Author(s): Wolfgang Arendt
Joseph A Ball
Jussi Behrndt
Karl-Heinz Frster
Volker Mehrmann
Carsten Trunk
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Springer eBooks
ISBN:9783034802970
Series:e-books
Series:SpringerLink (Online service)
Series:Operator Theory: Advances and Applications : v221
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Operator theory
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Call number:SPRINGER-2011-9789491216176:ONLINE Show nearby items on shelf
Title:Multidimensional Integral Equations and Inequalities [electronic resource]
Author(s): B.G Pachpatte
Date:2011
Publisher:Paris : Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Since from more than a century, the study of various types of integral equations and inequalities has been focus of great attention by many researchers, interested both in theory and its applications. In particular, there exists avery rich literature related to the integral equations and inequalities and their applications. The present monograph is an attempt to organize recent progress related to the Multidimensional integral equations and inequalities, whichwe hope will widen the scope of their new applications. The field to be covered is extremely wide and it is nearly impossible to treat all of them here. The material included in the monograph is recent and hard to find in other books.It is accessible to any reader with reasonable background in r eal analysis and acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduatecourse. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be an invaluable reading for mathematicians, physicists and engineers andalso for graduate students, scientists and scholars wishing to keep abreast of this important area of resea rch
Note:Springer eBooks
Contents:Integral equations in two variables
Integral inequalities and equations in two and three variables
Mixed integral equations and inequalities
Parabolic
type integrodifferential equations
Multivariable sum
difference inequalities and equations
ISBN:9789491216176
Series:e-books
Series:SpringerLink (Online service)
Series:Atlantis Studies in Mathematics for Engineering and Science, 1875-7642 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Integral equations
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Call number:SPRINGER-2011-9784431539384:ONLINE Show nearby items on shelf
Title:Theory of Hypergeometric Functions [electronic resource]
Author(s): Kazuhiko Aomoto
Michitake Kita
Date:2011
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables. Starting from an integrand which is a product of powers of polynomials, integrals are explained, inan open affine space, a s a pair of twisted de Rham cohomology and its dual over the coefficients of local system. It is shown that hypergeometric integrals generally satisfy a holonomic system of linear differential equations withrespect to the coefficients of polynomials and a lso satisfy a holonomic system of linear difference equations with respect to the exponents. These are deduced from Grothendieck-Delignes rational de Rham cohomology on the one hand,and by multidimensional extension of Birkhoffs classical theory on analyt ic difference equations on the other
Note:Springer eBooks
Contents:1 Introduction: the Euler
Gauss Hypergeometric Function
2 Representation of Complex Integrals and Twisted de Rham Cohomologies
3 Hypergeometric functions over Grassmannians
4 Holonomic Difference Equations and Asymptotic Expansion References Index
ISBN:9784431539384
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Geometry
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Call number:SPRINGER-2011-9783642239113:ONLINE Show nearby items on shelf
Title:Front Tracking for Hyperbolic Conservation Laws [electronic resource]
Author(s): Helge Holden
Nils H Risebro
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numericalmethod. The multidimens ional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews: It is already one of the few best digests on this topic. The presentbook is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style. D. Serre, MathSciNet I have read the book with great pleasure, and I can recommend it to experts as well asstudents. It can also be used for reliable and very exciting basis for a one-s emester graduate course. S. Noelle, Book review, German Math. Soc. Making it an ideal first book for the theory of nonlinear partial differentialequations...an excellent reference for a graduate course on nonlinear conservation laws. M. Laforest, Comp. Ph ys. Comm
Note:Springer eBooks
Contents:Preface
Introduction
Scalar Conservation Laws
A Short Course in Difference Methods
Multidimensional Scalar Conservation Laws
The Riemann Problem for Systems
Existence of Solutions of the Cauchy Problem
Well
Posedness of the Cauchy Problem
Total Variations, Compactness etc
The Method of Vanishing Viscosity
Answers and Hints
References
Index.
ISBN:9783642239113
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v152
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Numerical analysis , Engineering mathematics
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Call number:SPRINGER-2011-9783642194955:ONLINE Show nearby items on shelf
Title:Fundamentals of Scientific Computing [electronic resource]
Author(s): Bertil Gustafsson
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to todays weather data? And how is it possible to predict theaerodynamic behavior of an a ircraft that has yet to be built? The answer is computer simulations based on mathematical models sets of equations that describe the underlying physical properties. However, these equations areusually much too complicated to solve, either by the smarte st mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into aprogram that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds tointroduce the most important classes of numerical methods, with finite element, finite difference and sp ectral methods as central tools. The concluding section describes applications in physics and engineering, including wavepropagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB
Note:Springer eBooks
Contents:Part I Models and elementary mathematics
Part II Fundamentals in numerical analysis
Part III Numerical methods for differential equations
Part IV Numerical methods for algebraic equations
Part V Applications
References
Index
ISBN:9783642194955
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Computational Science and Engineering, 1611-0994 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Biology Data processing , Computer science Mathematics , Computer science , Engineering mathematics
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Call number:SPRINGER-2011-9783642183669:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python [electronic resource]
Author(s): Hans Petter Langtangen
Date:2011
Edition:2nd Edition
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example- and problem-oriented, where the applications are taken from mathematics,numerical calculus, s tatistics, physics, biology, and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background, and it isadvantageous to study classical and numerical one-variabl e calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in variousbranches of science and engineering, with the aid of numerical methods and programmi ng. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science
Note:Springer eBooks
Contents:Computing with Formulas
Loops and Lists
Functions and Branching
Input Data and Error Handling
Array Computing and Curve Plotting
Files, Strings and Dictionaries
Introduction to Classes
Random Numbers and Simple Games
Object
Oriented Programming
Sequences and Difference Equations
Introduction to Discrete Calculus
Introduction to Differential Equations
A Complete Differential Equation Project
Programming of Differential Equations
Debugging
TechnicalTopics
Bibliography
Index
ISBN:9783642183669
Series:e-books
Series:SpringerLink (Online service)
Series:Texts in Computational Science and Engineering, 1611-0994 : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Computer science
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Call number:SPRINGER-2011-9783642182693:ONLINE Show nearby items on shelf
Title:Bifurcation and Chaos in Discontinuous and Continuous Systems [electronic resource]
Author(s): Michal Fekan
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Bifurcation and Chaos in Discontinuous and Continuous Systems provides rigorous mathematical functional-analytical tools for handling chaotic bifurcations along with precise and complete proofs together with concreteapplications presented by many sti mulating and illustrating examples. A broad variety of nonlinear problems are studied involving difference equations, ordinary and partial differential equations, differential equations with impulses,piecewise smooth differential equations, differential a nd difference inclusions, and differential equations on infinite lattices as well. This book is intended for mathematicians, physicists, theoretically inclined engineers andpostgraduate students either studying oscillations of nonlinear mechanical systems or investigating vibrations of strings and beams, and electrical circuits by applying the modern theory of bifurcation methods in dynamical systems. Dr.Michal Fekan is a Professor at the Department of Mathematical Analysis and Numerical Mathematics on th e Faculty of Mathematics, Physics and Informatics at the Comenius University in Bratislava, Slovakia. He is working on nonlinearfunctional analysis, bifurcation theory and dynamical systems with applications to mechanics and vibrations
Note:Springer eBooks
Contents:Preliminary Results
Discrete Dynamical Systems and Chaos
Chaos in ODE
Chaos in PDE
Chaos in Discontinuous ODE
Miscellaneous Topics
ISBN:9783642182693
Series:e-books
Series:SpringerLink (Online service)
Series:Nonlinear Physical Science, 1867-8440
Series:Physics and Astronomy (Springer-11651)
Keywords: Global analysis (Mathematics) , Differentiable dynamical systems , Mechanics , Vibration
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