On Dirichlet S Boundary Value Problem

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On Dirichlet S Boundary Value Problem

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Author : Christian G. Simader
language : en
Publisher:
Release Date : 2014-01-15

On Dirichlet S Boundary Value Problem written by Christian G. Simader and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

A Unified Approach To Boundary Value Problems

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Author : Athanassios S. Fokas
language : en
Publisher: SIAM
Release Date : 2008-01-01

A Unified Approach To Boundary Value Problems written by Athanassios S. Fokas and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.

This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.

On Dirichlet S Boundary Value Problem

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Author : Christian G. Simader
language : en
Publisher:
Release Date : 1972

On Dirichlet S Boundary Value Problem written by Christian G. Simader and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Boundary value problems categories.

Asymptotic Theory Of Elliptic Boundary Value Problems In Singularly Perturbed Domains

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Author : Vladimir Maz'ya
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Asymptotic Theory Of Elliptic Boundary Value Problems In Singularly Perturbed Domains written by Vladimir Maz'ya and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

For the first time in the mathematical literature this two-volume work introduces a unified and general approach to the asymptotic analysis of elliptic boundary value problems in singularly perturbed domains. This first volume is devoted to domains whose boundary is smooth in the neighborhood of finitely many conical points. In particular, the theory encompasses the important case of domains with small holes. The second volume, on the other hand, treats perturbations of the boundary in higher dimensions as well as nonlocal perturbations. The core of this book consists of the solution of general elliptic boundary value problems by complete asymptotic expansion in powers of a small parameter that characterizes the perturbation of the domain. The construction of this method capitalizes on the theory of elliptic boundary value problems with nonsmooth boundary that has been developed in the past thirty years. Much attention is paid to concrete problems in mathematical physics, for example in elasticity theory. In particular, a study of the asymptotic behavior of stress intensity factors, energy integrals and eigenvalues is presented. To a large extent the book is based on the authors’ work and has no significant overlap with other books on the theory of elliptic boundary value problems.

Integral Equations And Boundary Value Problems

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Author : M.D.Raisinghania
language : en
Publisher: S. Chand Publishing
Release Date : 2007

Integral Equations And Boundary Value Problems written by M.D.Raisinghania and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.

Strictly according to the latest syllabus of U.G.C.for Degree level students and for various engineering and professional examinations such as GATE, C.S.I.R NET/JRFand SLET etc. For M.A./M.Sc (Mathematics) also.

Factorization Of Boundary Value Problems Using The Invariant Embedding Method

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Author : Jacques Henry
language : en
Publisher: Elsevier
Release Date : 2016-11-09

Factorization Of Boundary Value Problems Using The Invariant Embedding Method written by Jacques Henry and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Mathematics categories.

Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems. - Develops the invariant embedding technique for boundary value problems - Makes a link between control theory, boundary value problems and the Gauss factorization - Presents a new theory for successively solving linear elliptic boundary value problems - Includes a transformation in two initial value problems that are uncoupled

Unified Transform For Boundary Value Problems

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Author : Athanasios S. Fokas
language : en
Publisher: SIAM
Release Date : 2014-12-30

Unified Transform For Boundary Value Problems written by Athanasios S. Fokas and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-30 with Mathematics categories.

This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs.? The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.

Boundary Value Problems On Time Scales Volume I

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Author : Svetlin Georgiev
language : en
Publisher: CRC Press
Release Date : 2021-10-14

Boundary Value Problems On Time Scales Volume I written by Svetlin Georgiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-14 with Mathematics categories.

Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Initial Boundary Value Problems In Mathematical Physics

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Author : Rolf Leis
language : en
Publisher: Courier Corporation
Release Date : 2013-07-17

Initial Boundary Value Problems In Mathematical Physics written by Rolf Leis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-17 with Mathematics categories.

Introduction to classical scattering theory and time-dependent theory of linear equations in mathematical physics. Topics include wave operators, exterior boundary value problems, radiation conditions, limiting absorption principles, and more. 1986 edition.

Stochastic Methods For Boundary Value Problems

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Author : Karl K. Sabelfeld
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-09-26

Stochastic Methods For Boundary Value Problems written by Karl K. Sabelfeld and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-26 with Mathematics categories.

This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach. The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: Introduction Random walk algorithms for solving integral equations Random walk-on-boundary algorithms for the Laplace equation Walk-on-boundary algorithms for the heat equation Spatial problems of elasticity Variants of the random walk on boundary for solving stationary potential problems Splitting and survival probabilities in random walk methods and applications A random WOS-based KMC method for electron–hole recombinations Monte Carlo methods for computing macromolecules properties and solving related problems Bibliography