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The space–time Sinc‐Gallerkin method for parabolic problems
Author(s) -
Lewis David L.,
Lund John,
Bowers Kenneth L.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240903
Subject(s) - sinc function , galerkin method , mathematics , parabolic partial differential equation , partial differential equation , mathematical analysis , space (punctuation) , discontinuous galerkin method , dimension (graph theory) , numerical analysis , convergence (economics) , spacetime , rate of convergence , finite element method , computer science , computer network , channel (broadcasting) , physics , quantum mechanics , pure mathematics , economics , thermodynamics , economic growth , operating system
This paper contains the formulation of a space–time Sinc‐Galerkin method for the numerical solution of the parabolic partial differential equation in one space dimension. The space–time adjective means that the Galerkin technique is employed simultaneously in time and space. Salient features of the method include: exponential rate of convergence, ease of assembly of the discrete system, a global approximation and the ability to handle singular problems. Two methods of solution for the discrete system are offered and numerical results for test problems, selected from the literature, are included.