Multirate time stepping for stiff ODEs

V. Savcenco

doi:10.1063/1.2790187

Multirate time stepping for stiff ODEs

V. Savcenco

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

Samenvatting

Multirate time stepping is a numerical technique for efficiently solving large-scale ordinary differential equations (ODEs) with widely different time scales localized over the components. This technique enables one to use large time steps for slowly time-varying components, and small steps for rapidly varying ones. In this paper we describe a self-adjusting multirate time stepping strategy, in which the step size for a particular component is determined by its own local temporal variation, instead of using a single step size for the whole system. We primarily consider Rosenbrock methods, suitable for stiff or mildly stiff ODEs.

Originele taal-2	Engels
Titel	Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece
Redacteuren	T.E. Simos, G. Psihoyios, C. Tsi touras
Plaats van productie	Melville NY
Uitgeverij	American Institute of Physics
Pagina's	492-495
ISBN van geprinte versie	978-0-7354-0447-2
DOI's	https://doi.org/10.1063/1.2790187
Status	Gepubliceerd - 2007
Evenement	5th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) - Hotel Marbella, Corfu, Griekenland Duur: 16 sep. 2007 → 20 sep. 2007 Congresnummer: 5

Publicatie series

Naam	AIP Conference Proceedings
Volume	936
ISSN van geprinte versie	0094-243X

Congres

Congres	5th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007)
Verkorte titel	ICNAAM 2007
Land/Regio	Griekenland
Stad	Corfu
Periode	16/09/07 → 20/09/07
Ander	ICNAAM 2007, Corfu, Greece

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10.1063/1.2790187

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Savcenco, V. (2007). Multirate time stepping for stiff ODEs. In T. E. Simos, G. Psihoyios, & C. Tsi touras (editors), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece (blz. 492-495). (AIP Conference Proceedings; Vol. 936). American Institute of Physics. https://doi.org/10.1063/1.2790187

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title = "Multirate time stepping for stiff ODEs",

abstract = "Multirate time stepping is a numerical technique for efficiently solving large-scale ordinary differential equations (ODEs) with widely different time scales localized over the components. This technique enables one to use large time steps for slowly time-varying components, and small steps for rapidly varying ones. In this paper we describe a self-adjusting multirate time stepping strategy, in which the step size for a particular component is determined by its own local temporal variation, instead of using a single step size for the whole system. We primarily consider Rosenbrock methods, suitable for stiff or mildly stiff ODEs.",

author = "V. Savcenco",

year = "2007",

doi = "10.1063/1.2790187",

language = "English",

isbn = "978-0-7354-0447-2",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "492--495",

editor = "T.E. Simos and G. Psihoyios and {Tsi touras}, C.",

booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece",

address = "United States",

note = "5th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007), ICNAAM 2007 ; Conference date: 16-09-2007 Through 20-09-2007",

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Savcenco, V 2007, Multirate time stepping for stiff ODEs. in TE Simos, G Psihoyios & C Tsi touras (redactie), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece. AIP Conference Proceedings, vol. 936, American Institute of Physics, Melville NY, blz. 492-495, 5th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007), Corfu, Griekenland, 16/09/07. https://doi.org/10.1063/1.2790187

Multirate time stepping for stiff ODEs. / Savcenco, V.

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece. redactie / T.E. Simos; G. Psihoyios; C. Tsi touras. Melville NY : American Institute of Physics, 2007. blz. 492-495 (AIP Conference Proceedings; Vol. 936).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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N2 - Multirate time stepping is a numerical technique for efficiently solving large-scale ordinary differential equations (ODEs) with widely different time scales localized over the components. This technique enables one to use large time steps for slowly time-varying components, and small steps for rapidly varying ones. In this paper we describe a self-adjusting multirate time stepping strategy, in which the step size for a particular component is determined by its own local temporal variation, instead of using a single step size for the whole system. We primarily consider Rosenbrock methods, suitable for stiff or mildly stiff ODEs.

AB - Multirate time stepping is a numerical technique for efficiently solving large-scale ordinary differential equations (ODEs) with widely different time scales localized over the components. This technique enables one to use large time steps for slowly time-varying components, and small steps for rapidly varying ones. In this paper we describe a self-adjusting multirate time stepping strategy, in which the step size for a particular component is determined by its own local temporal variation, instead of using a single step size for the whole system. We primarily consider Rosenbrock methods, suitable for stiff or mildly stiff ODEs.

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BT - Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece

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Savcenco V. Multirate time stepping for stiff ODEs. In Simos TE, Psihoyios G, Tsi touras C, redacteurs, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2007) 16-20 September 2007, Corfu, Greece. Melville NY: American Institute of Physics. 2007. blz. 492-495. (AIP Conference Proceedings). https://doi.org/10.1063/1.2790187

Multirate time stepping for stiff ODEs

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