ON SPURIOUS BEHAVIOR OF SUPER-STABLE IMPLICIT METHODS

Authors
YEE HC SWEBY PK
Citation
Hc. Yee et Pk. Sweby, ON SPURIOUS BEHAVIOR OF SUPER-STABLE IMPLICIT METHODS, International journal of computational fluid dynamics, 8(4), 1997, pp. 265
Citations number
42
Journal title
International journal of computational fluid dynamics → ACNP
ISSN journal
10618562
Volume
8
Issue
4
Year of publication
1997
Database
ISI
SICI code
1061-8562(1997)8:4<265:OSBOSI>2.0.ZU;2-O
Abstract
The objective of this paper is to gain a better understanding of the a symptotic nonlinear behavior of super-stable implicit linear multistep methods for constant time steps. Examples of the nonlinear effect cau sed by grid adaptation and super-stable implicit total variation dimin ishing (TVD) schemes on the overall performance of the numerical proce dure are given. A method to minimize spurious steady-state numerical s olutions is discussed.