The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error

The conventional method of imposing time-dependent boundary conditions for Runge-Kutta time advancement reduces the formal accuracy of the space-time method to first-order locally, and second-order globally, independently of the spatial operator. This counterintuitive result is analyzed in this pape...

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Bibliographic Details
Published in:	SIAM journal on scientific computing Vol. 16; no. 6; pp. 1241 - 1252
Main Authors:	Carpenter, Mark H., Gottlieb, David, Abarbanel, Saul, Don, Wai-Sun
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.11.1995
Subjects:	Accuracy Algorithms Applied mathematics Approximation Boundary conditions Boundary value problems Exact sciences and technology Mathematics Multiplication & division Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Time dependence Accuracy Hyperbolic system Boundary value problem Error estimation Initial value problem Runge Kutta method
ISSN:	1064-8275, 1095-7197
Online Access:	Get full text
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