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):

Report Date:

1996-07-01

Pagination or Media Count:

21.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE