Unified Approach to Boundary Value Problems

Name: Unified Approach to Boundary Value Problems
Brand: Society for Industrial & Applied Mathematics,U.S.
SKU: 9780898716511
Price: 504.68 RON
Availability: InStock

Autor: Athanassios S. Fokas

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Legare: Carte broșată

Editura: Society for Industrial & Applied Mathematics,U.S.

Disponibilitate: În depozitul extern

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504.68 lei

A novel approach to analysing initial-boundary value problems for integrable partial differential eq...

Informații despre carte

Autor

Athanassios S. Fokas

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

351

EAN

9780898716511

ISBN

0898716519

Enbook ID

02050215

Editura

Society for Industrial & Applied Mathematics,U.S.

Greutate

Dimensiuni

152 x 229 x 15

Descriere completă

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.

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