In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.

Il problema della stabilità per metodi numerici per ODEs

ACETO, LIDIA
2001

Abstract

In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.
Aceto, Lidia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/186194
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