Analysis of a multirate theta-method for stiff ODEs

W. Hundsdorfer; V. Savcenco

doi:10.1016/j.apnum.2008.03.022

Analysis of a multirate theta-method for stiff ODEs

W. Hundsdorfer, V. Savcenco

Research output: Contribution to journal › Article › Academic › peer-review

17 Citations (Scopus)

Abstract

This paper contains a study of a simple multirate scheme, consisting of the ¿-method with one level of temporal local refinement. Issues of interest are local accuracy, propagation of interpolation errors and stability. The theoretical results are illustrated by numerical experiments, including results for more levels of refinement with automatic partitioning.

Original language	English
Pages (from-to)	693-706
Journal	Applied Numerical Mathematics
Volume	59
Issue number	3-4
DOIs	https://doi.org/10.1016/j.apnum.2008.03.022
Publication status	Published - 2009

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title = "Analysis of a multirate theta-method for stiff ODEs",

abstract = "This paper contains a study of a simple multirate scheme, consisting of the ¿-method with one level of temporal local refinement. Issues of interest are local accuracy, propagation of interpolation errors and stability. The theoretical results are illustrated by numerical experiments, including results for more levels of refinement with automatic partitioning.",

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AU - Savcenco, V.

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AB - This paper contains a study of a simple multirate scheme, consisting of the ¿-method with one level of temporal local refinement. Issues of interest are local accuracy, propagation of interpolation errors and stability. The theoretical results are illustrated by numerical experiments, including results for more levels of refinement with automatic partitioning.

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DO - 10.1016/j.apnum.2008.03.022

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JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

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Analysis of a multirate theta-method for stiff ODEs

Abstract

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