Convergence of multistep methods for Volterra functional differential equations

Zdzislaw Jackiewicz

doi:10.1007/BF01397004

Convergence of multistep methods for Volterra functional differential equations

Zdzislaw Jackiewicz

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

This paper deals with the convergence of nonstationary quasilinear multistep methods with varying step, used for the numerical integration of Volterra functional differential equations. A Perron type condition (appearing in the differential equations theory) is imposed on the increment function. This gives a generalization of some results of Tavernini ([19-21]).

Original language	English (US)
Pages (from-to)	307-332
Number of pages	26
Journal	Numerische Mathematik
Volume	32
Issue number	3
DOIs	https://doi.org/10.1007/BF01397004
State	Published - Sep 1 1979
Externally published	Yes

Keywords

Subject Classifications: AMS(MOS): 65Q05, CR: 5.17

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/BF01397004

Cite this

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AB - This paper deals with the convergence of nonstationary quasilinear multistep methods with varying step, used for the numerical integration of Volterra functional differential equations. A Perron type condition (appearing in the differential equations theory) is imposed on the increment function. This gives a generalization of some results of Tavernini ([19-21]).

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Convergence of multistep methods for Volterra functional differential equations

Abstract

Keywords

ASJC Scopus subject areas

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