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A unified approach to boundary value problems

A. S. Fokas 1952- Conference Board of the Mathematical Sciences-National Science Foundation

Philadelphia Society for Industrial and Applied Mathematics c2008

Localização: ICMC - Inst. Ciên. Mat. Computação    (34B01 F662ua e.1 )(Acessar)

  • Título:
    A unified approach to boundary value problems
  • Autor: A. S. Fokas 1952-
  • Conference Board of the Mathematical Sciences-National Science Foundation
  • Assuntos: Boundary value problems; Randwertproblem; PROBLEMAS DE CONTORNO
  • Notas: Includes bibliographical references (p. 321-333) and index
  • Descrição: 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
    This text presents a new approach to analysing initial-boundary value problems for integrable partial differential equations
  • Títulos relacionados: Série:regional conference series in applied mathematics 78
  • Editor: Philadelphia Society for Industrial and Applied Mathematics
  • Data de criação/publicação: c2008
  • Formato: xv, 336 p ill. (some col.) 25 cm..
  • Idioma: Inglês
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