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