A Unified Approach to Boundary Value Problems PDF
By:Athanassios S. Fokas
Published on 2008-11-06 by SIAM
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.
This Book was ranked at 26 by Google Books for keyword Science Math Evolution novel.
Book ID of A Unified Approach to Boundary Value Problems's Books is eRT2jsryXloC, Book which was written byAthanassios S. Fokashave ETAG "+zwfTHs8Geo"
Book which was published by SIAM since 2008-11-06 have ISBNs, ISBN 13 Code is 9780898716511 and ISBN 10 Code is 0898716519
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Book which have "336 Pages" is Printed at BOOK under CategoryMathematics
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