The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems

The general theory of compatibility conditions for the differentiability of solutions to initial-boundary value problems is well known. This paper introduces the application of that theory to numerical solutions of partial differential equations and its ramifications on the performance of high-order...

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Bibliographic Details
Published in:	SIAM journal on scientific computing Vol. 23; no. 5; pp. 1731 - 1751
Main Authors:	Flyer, Natasha, Swarztrauber, Paul N.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 2002
Subjects:	Algebra Applied mathematics Boundary conditions Boundary value problems Exact sciences and technology Mathematics Methods Neighborhoods Numerical analysis Numerical analysis. Scientific computation Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Wave equation Spectral method Boundary value problem Initial condition Numerical solution Initial value problem Compatibility Partial differential equation Convergence Finite difference method
ISSN:	1064-8275, 1095-7197
Online Access:	Get full text
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