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A unified approach to boundary value problems
Title:
A unified approach to boundary value problems
Author:
Fokas, A. S., 1952-
ISBN:
9780898716511
Personal Author:
Publication Information:
Philadelphia, PA : Society for Industrial and Applied Mathematics, c2008.
Physical Description:
xv, 336 p. : ill. (some col.) ; 25 cm.
Series:
CBMS-NSF regional conference series in applied mathematics ; 78
CBMS-NSF regional conference series in applied mathematics ; 78.
Contents:
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.
Abstract:
This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations.
Subject Term:
Electronic Access:
Table of contents only http://catdir.loc.gov/catdir/toc/ecip0815/2008016185.htmlPublisher description http://www.loc.gov/catdir/enhancements/fy0916/2008016185-d.html
Contributor biographical information http://www.loc.gov/catdir/enhancements/fy0916/2008016185-b.html
Table of contents http://bvbr.bib-bvb.de:8991/F?func.service&doc_library.BVB01&doc_number.016738100&line_number.0001&func_code.DB_RECORDS&service_type.MEDIA