Inexact Methods in the Numerical Solution of Stiff Initial Value Problems |
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Authors: | B Morini M Macconi |
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Affiliation: | (1) Dipartimento di Energetica “S. Stecco” Università di Firenze, via Lombroso 6/17, 50134 Florence, Italy, e-mail: macconi@de.unifi.it , IT;(2) Dipartimento di Energetica “S. Stecco” Università di Firenze, via Lombroso 6/17, 50134 Florence, Italy, e-mail: morini@riscmat.de.unifi.it , IT |
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Abstract: | Inexact Newton methods can be effectively used in codes for large stiff initial value problems for ordinary differential
equations. In this paper we give a new convergence result for Inexact Newton methods. Further, we indicate how this general
result can be used and actually implemented to obtain an efficient code for solving stiff initial value problems.
Received: March 12, 1998; revised March 31, 1999 |
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Keywords: | AMS Subject Classifications:65H10 65L05 |
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