A Unified Approach to Boundary Value Problems

A Unified Approach to Boundary Value Problems
Author :
Publisher : SIAM
Total Pages : 327
Release :
ISBN-10 : 9780898716511
ISBN-13 : 0898716519
Rating : 4/5 (519 Downloads)

Book Synopsis A Unified Approach to Boundary Value Problems by : Athanassios S. Fokas

Download or read book A Unified Approach to Boundary Value Problems written by Athanassios S. Fokas and published by SIAM. This book was released on 2008-11-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inverse scattering transform that the author introduced in 1997. This method is unique in also yielding novel integral representations for linear PDEs. Several new developments are addressed in the book, including a new transform method for linear evolution equations on the half-line and on the finite interval; analytical inversion of certain integrals such as the attenuated Radon transform and the Dirichlet-to-Neumann map for a moving boundary; integral representations for linear boundary value problems; analytical and numerical methods for elliptic PDEs in a convex polygon; and integrable nonlinear PDEs. An epilogue provides a list of problems on which the author's new approach has been used, offers open problems, and gives a glimpse into how the method might be applied to problems in three dimensions.


A Unified Approach to Boundary Value Problems Related Books

A Unified Approach to Boundary Value Problems
Language: en
Pages: 327
Authors: Athanassios S. Fokas
Categories: Mathematics
Type: BOOK - Published: 2008-11-06 - Publisher: SIAM

GET EBOOK

A novel approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, based on ideas of the inve
Unified Transform for Boundary Value Problems
Language: en
Pages: 290
Authors: Athanasios S. Fokas
Categories: Mathematics
Type: BOOK - Published: 2014-12-30 - Publisher: SIAM

GET EBOOK

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
Initial-boundary Value Problems and the Navier-Stokes Equations
Language: en
Pages: 408
Authors: Heinz-Otto Kreiss
Categories: Science
Type: BOOK - Published: 1989-01-01 - Publisher: SIAM

GET EBOOK

Annotation This book provides an introduction to the vast subject of initial and initial-boundary value problems for PDEs, with an emphasis on applications to p
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
Language: en
Pages: 620
Authors: Uri M. Ascher
Categories: Mathematics
Type: BOOK - Published: 1994-12-01 - Publisher: SIAM

GET EBOOK

This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations.
Finite Difference Methods for Ordinary and Partial Differential Equations
Language: en
Pages: 356
Authors: Randall J. LeVeque
Categories: Mathematics
Type: BOOK - Published: 2007-01-01 - Publisher: SIAM

GET EBOOK

This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the simil