A Unified Approach to Boundary Value Problems
Language: English
Published by Society for Industrial and Applied Mathematics,U.S., US, 2008
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 93.56
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Presents a new approach to analyzing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform. This method is unique in also yielding novel integral representations for the explicit solution of linear boundary value problems, which include such classical problems as the heat equation on a finite interval and the Helmholtz equation in the interior of an equilateral triangle.The author's thorough introduction allows the interested reader to quickly assimilate the essential results of the book, avoiding many computational details. 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; 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.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.Integrable nonlinear PDEs. …
Seller Inventory # LU-9780898716511
- Title
- A Unified Approach to Boundary Value Problems
- Author
- Athanassios S. Fokas
- Publisher
- Society for Industrial and Applied Mathematics,U.S., US
- Publication year
- 2008
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0898716519
- ISBN 13
- 9780898716511
- Item weight
- 560 grams
- Dimensions
- 17.78 x 1.91 x 25.4 cm
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Rarewaves.com USA
London, London, United Kingdom
AbeBooks seller since June 11, 2025
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