Spectral Methods for Initial Boundary Value Problems--An Alternative Approach

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an overdetermined set of points are collocated. As an approximate solution, the function is chosen that belon...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 27; no. 4; pp. 885 - 903
Main Author:	Dutt, P.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.08.1990
Subjects:	Accuracy Applied mathematics Boundary conditions Boundary value problems Continuous functions Degrees of polynomials Eigenvalues Exact sciences and technology Mathematics Methods Numerical analysis Numerical analysis. Scientific computation Parameter estimation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Polynomials Preliminary estimates Sciences and techniques of general use Spectral methods Vector spaces Quadrature Boundary value problem Multigrid Tchebychev polynomial Initial value problem Partial differential equation
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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