Benchmarking stiff ode solvers for atmospheric chemistry problems II: Rosenbrock solvers

A Sandu; J.G Verwer; J.G Blom; E.J Spee; G.R Carmichael; F.A Potra

doi:10.1016/S1352-2310(97)83212-8

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Benchmarking stiff ode solvers for atmospheric chemistry problems II: Rosenbrock solvers

Journal article

Peer reviewed

Benchmarking stiff ode solvers for atmospheric chemistry problems II: Rosenbrock solvers

A Sandu, J.G Verwer, J.G Blom, E.J Spee, G.R Carmichael and F.A Potra

Atmospheric environment (1994), Vol.31(20), pp.3459-3472

1997

DOI: 10.1016/S1352-2310(97)83212-8

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Abstract

In the numerical simulation of atmospheric transport-chemistry processes, a major task is the integration of the stiff systems of ordinary differential equations describing the chemical transformations. It is therefore of interest to systematically search for stiff solvers which can be identified as close to optimal for atmospheric applications. In this paper we continue our investigation from Sandu et al. (1996, CWI Report NM-R9603 and Report in Comput. Math., No. 85) and compare eight solvers on a set of seven box-models used in present day models. The focus is on Rosenbrock solvers. These turn out to be very well suited for our application when they are provided with highly efficient sparse matrix techniques to economize on the linear algebra. Two of the Rosenbrock solvers tested are from the literature, viz. rodas and Ros4, and two are new and specially developed for air quality applications, viz. rodas3 and ros3.

sparsity

Atmospheric chemistry

Rosenbrock methods

air pollution modeling

numerical stiff ODEs

Details

Title: Subtitle: Benchmarking stiff ode solvers for atmospheric chemistry problems II: Rosenbrock solvers
Creators: A Sandu - Program in Applied Mathematics and Computational Sciences, The University of Iowa, Iowa City, IA 52242, U.S.A
J.G Verwer
J.G Blom
E.J Spee
G.R Carmichael - Center for Global and Regional Environmental Research, The University of Iowa, Iowa City, IA 52242, U.S.A
F.A Potra - Department of Mathematics, The University of Iowa, Iowa City, IA 52242, U.S.A
Resource Type: Journal article
Publication Details: Atmospheric environment (1994), Vol.31(20), pp.3459-3472
DOI: 10.1016/S1352-2310(97)83212-8
ISSN: 1352-2310
eISSN: 1873-2844
Publisher: Elsevier Ltd
Language: English
Date published: 1997
Academic Unit: Civil and Environmental Engineering; Nursing; Chemical and Biochemical Engineering
Record Identifier: 9984004089302771

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