Accession Number : ADA314231
Title : Total Variation Diminishing Runge-Kutta Schemes.
Descriptive Note : Contract rept.,
Corporate Author : INSTITUTE FOR COMPUTER APPLICATIONS IN SCIENCE AND ENGINEERING HAMPTON VA
Personal Author(s) : Gottlieb, Sigal ; Shu, Chi-Wang
PDF Url : ADA314231
Report Date : JUL 1996
Pagination or Media Count : 21
Abstract : In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretization initialized in Shu & Osher (1988), suitable for solving hyperbolic conservation laws with stable spatial discretizations. We illustrate with numerical examples that non-TVD but linearly stable Runge-Kutta time discretization can generate oscillations even for TVD (total variation diminishing) spatial discretization, verifying the claim that TVD Runge-Kutta methods are important for such applications. We then explore the issue of optimal TVD Runge-Kutta methods for second, third and fourth order, and for low storage Runge-Kutta methods.
Descriptors : *RUNGE KUTTA METHOD, OPTIMIZATION, TIME DEPENDENCE, FINITE ELEMENT ANALYSIS, ACCURACY, FINITE DIFFERENCE THEORY, APPROXIMATION(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, EULER EQUATIONS.
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE