A note on unconditionally stable linear multistep methods

Olof B. Widlund

doi:10.1007/BF01934126

A note on unconditionally stable linear multistep methods

Olof B. Widlund

Mathematics

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

Abstract

It has been shown by Dahlquist [3] that the trapezoidal formula has the smallest truncation error among all linear multistep methods with a certain stability property. It is the purpose of this note to show that a slightly different stability requirement permits methods of higher accuracy.

Original language	English (US)
Pages (from-to)	65-70
Number of pages	6
Journal	BIT
Volume	7
Issue number	1
DOIs	https://doi.org/10.1007/BF01934126
State	Published - Mar 1967

Keywords

Differential equations
multistep methods
stability

ASJC Scopus subject areas

Software
Computer Networks and Communications
Computational Mathematics
Applied Mathematics

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10.1007/BF01934126

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title = "A note on unconditionally stable linear multistep methods",

abstract = "It has been shown by Dahlquist [3] that the trapezoidal formula has the smallest truncation error among all linear multistep methods with a certain stability property. It is the purpose of this note to show that a slightly different stability requirement permits methods of higher accuracy.",

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author = "Widlund, {Olof B.}",

year = "1967",

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KW - multistep methods

KW - stability

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A note on unconditionally stable linear multistep methods

Abstract

Keywords

ASJC Scopus subject areas

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