A unified approach to boundary value problems / Athanassios S. Fokas.

Bibliographic Details
Uniform Title:CBMS-NSF regional conference series in applied mathematics ; 78.
Main Author: Fokas, A. S., 1952-
Language:English
Published: Philadelphia, PA : Society for Industrial and Applied Mathematics, [2008], ©2008.
Series:CBMS-NSF regional conference series in applied mathematics ; 78.
Subjects:
Physical Description:xv, 336 pages : illustrations (some color) ; 25 cm.
Format: Book

MARC

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100 1 |a Fokas, A. S.,  |d 1952-  |0 http://id.loc.gov/authorities/names/n92085621 
245 1 2 |a A unified approach to boundary value problems /  |c Athanassios S. Fokas. 
260 |a Philadelphia, PA :  |b Society for Industrial and Applied Mathematics,  |c [2008], ©2008. 
300 |a xv, 336 pages :  |b illustrations (some color) ;  |c 25 cm. 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
490 1 |a CBMS-NSF regional conference series in applied mathematics ;  |v 78 
504 |a Includes bibliographical references (pages 321-333) and index. 
505 0 |a A new transform method for linear evolution equations -- Evolution equations on the half line -- Evolution equations on the finite interval -- Asymptotics and a novel numerical technique -- Analytical inversion of integrals -- From PDEs to classical transforms -- Riemann-Hilbert and d-bar problems -- The Fourier transform and its variations -- The inversion of the attenuated radon transform and medical imaging -- The Dirichlet to Neumann map for a moving boundary -- Novel integral representations for linear boundary value problems -- Divergence formulation, the global relation, and lax pairs -- Rederivation of the integral representations on the half-line and the finite interval -- The basic elliptic PDEs in a polygonal domain -- Novel analytical and numerical methods for elliptic PDEs in a convex polygon -- The new transform method for elliptic PDEs in simple polygonal domains -- Formulation of Riemann-Hilbert problems -- A collocation method in the Fourier plane -- Integrable nonlinear PDEs -- From linear to integrable nonlinear PDEs -- Nonlinear integrable PDEs on the half-line -- Linearizable boundary conditions -- The generalized Dirichlet to Neumann map -- Asymptotics of oscillatory Riemann-Hilbert problems. 
650 0 |a Boundary value problems.  |0 http://id.loc.gov/authorities/subjects/sh85016102 
830 0 |a CBMS-NSF regional conference series in applied mathematics ;  |v 78.  |0 http://id.loc.gov/authorities/names/n42000084 
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