The BiM code for the numerical solution of ODEs

In this paper we present the code BiM, based on blended implicit methods (J. Comput. Appl. Math. 116 (2000) 41; Appl. Numer. Math. 42 (2002) 29; Recent Trends in Numerical Analysis, Nova Science Publ. Inc., New York, 2001, pp. 81.), for the numerical solution of stiff initial value problems for ODEs...

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Veröffentlicht in:Journal of computational and applied mathematics Jg. 164; S. 145 - 158
Hauptverfasser: Brugnano, Luigi, Magherini, Cecilia
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.03.2004
Schlagworte:
Iterative solution of linear systems
Nonlinear splittings
Numerical methods for ODEs
Numerical software
Stiff problems
65L05
65L06
Stiff problems
65F10
Nonlinear splittings
Numerical software
Numerical methods for ODEs
Iterative solution of linear systems
65L20
65H10
ISSN:0377-0427, 1879-1778
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Zusammenfassung:In this paper we present the code BiM, based on blended implicit methods (J. Comput. Appl. Math. 116 (2000) 41; Appl. Numer. Math. 42 (2002) 29; Recent Trends in Numerical Analysis, Nova Science Publ. Inc., New York, 2001, pp. 81.), for the numerical solution of stiff initial value problems for ODEs. We describe in detail most of the implementation strategies used in the construction of the code, and report numerical tests comparing the code BiM with some of the best codes currently available. The numerical tests show that the new code compares well with existing ones. Moreover, the methods implemented in the code are characterized by a diagonal nonlinear splitting, which makes its extension for parallel computers very straightforward.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2003.09.004