Analysis of explicit multirate and partitioned Runge-Kutta schemes for conservation laws

W. Hundsdorfer; A. Mozartova; V. Savcenco

Analysis of explicit multirate and partitioned Runge-Kutta schemes for conservation laws

W. Hundsdorfer, A. Mozartova, V. Savcenco

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Abstract

Multirate schemes for conservation laws or convection-dominated problems seem to come in two flavors: schemes that are locally inconsistent, and schemes that lack mass-conservation. In this paper these two defects are discussed for one-dimensional conservation laws. Particular attention will be given to monotonicity properties of the multirate schemes, such as maximum principles and the total variation diminishing (TVD) property. The study of these properties will be done within the framework of partitioned Runge-Kutta methods.

Original language	English
Place of Publication	Amsterdam
Publisher	Centrum voor Wiskunde en Informatica
Number of pages	37
Publication status	Published - 2007

Publication series

Name	CWI report. MAS-E
Volume	0715
ISSN (Print)	1386-3703

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abstract = "Multirate schemes for conservation laws or convection-dominated problems seem to come in two flavors: schemes that are locally inconsistent, and schemes that lack mass-conservation. In this paper these two defects are discussed for one-dimensional conservation laws. Particular attention will be given to monotonicity properties of the multirate schemes, such as maximum principles and the total variation diminishing (TVD) property. The study of these properties will be done within the framework of partitioned Runge-Kutta methods.",

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AU - Mozartova, A.

AU - Savcenco, V.

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AB - Multirate schemes for conservation laws or convection-dominated problems seem to come in two flavors: schemes that are locally inconsistent, and schemes that lack mass-conservation. In this paper these two defects are discussed for one-dimensional conservation laws. Particular attention will be given to monotonicity properties of the multirate schemes, such as maximum principles and the total variation diminishing (TVD) property. The study of these properties will be done within the framework of partitioned Runge-Kutta methods.

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BT - Analysis of explicit multirate and partitioned Runge-Kutta schemes for conservation laws

PB - Centrum voor Wiskunde en Informatica

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Analysis of explicit multirate and partitioned Runge-Kutta schemes for conservation laws

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