ANALYSIS OF THE HETEROGENEOUS MULTISCALE METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS¤

E. Weinan

doi:10.4310/CMS.2003.v1.n3.a3

ANALYSIS OF THE HETEROGENEOUS MULTISCALE METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS¤

E. Weinan

Mathematics

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

72 Scopus citations

Abstract

This paper is concerned with the analysis of a new class of efficient numerical methods for systems of ordinary differential equations (ODEs) with disparate time scales. We will be interested in stiff ODEs of the type that arise in chemical kinetics, for example: (Formula Presented)

Original language	English (US)
Pages (from-to)	423-436
Number of pages	14
Journal	Communications in Mathematical Sciences
Volume	1
Issue number	3
DOIs	https://doi.org/10.4310/CMS.2003.v1.n3.a3
State	Published - 2003

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.4310/CMS.2003.v1.n3.a3

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abstract = "This paper is concerned with the analysis of a new class of efficient numerical methods for systems of ordinary differential equations (ODEs) with disparate time scales. We will be interested in stiff ODEs of the type that arise in chemical kinetics, for example: (Formula Presented)",

author = "E. Weinan",

note = "Funding Information: Acknowledgement. It is a pleasure to thank Bjorn Engquist, Richard Tsai and Eric Vanden-Eijnden for stimulating discussions, and Assyr Abdulle for comments on the first draft of this paper. This work is supported in part by an ONR grant N00014-01-1-0674. Publisher Copyright: {\textcopyright} 2003 International Press",

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N1 - Funding Information: Acknowledgement. It is a pleasure to thank Bjorn Engquist, Richard Tsai and Eric Vanden-Eijnden for stimulating discussions, and Assyr Abdulle for comments on the first draft of this paper. This work is supported in part by an ONR grant N00014-01-1-0674. Publisher Copyright: © 2003 International Press

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ANALYSIS OF THE HETEROGENEOUS MULTISCALE METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS¤

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