EFFECT OF VARIABLE MESH SIZE ON THE STABILITY OF MULTISTEP METHODS.

C. W. Gear; K. W. Tu

doi:10.1137/0711079

EFFECT OF VARIABLE MESH SIZE ON THE STABILITY OF MULTISTEP METHODS.

C. W. Gear, K. W. Tu

Chemical & Biological Engineering

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

76 Scopus citations

Abstract

The effects of two different techniques for implementing variable mesh sizes in multistep formulas are investigated. It is proved that one is stable for a greater variation in step sizes than the other with Adams formulas, but that both are stable when the rate of step changing is small with any multistep formula. The practical implications of these results are discussed.

Original language	English (US)
Pages (from-to)	1025-1043
Number of pages	19
Journal	SIAM Journal on Numerical Analysis
Volume	11
Issue number	5
DOIs	https://doi.org/10.1137/0711079
State	Published - 1974

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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title = "EFFECT OF VARIABLE MESH SIZE ON THE STABILITY OF MULTISTEP METHODS.",

abstract = "The effects of two different techniques for implementing variable mesh sizes in multistep formulas are investigated. It is proved that one is stable for a greater variation in step sizes than the other with Adams formulas, but that both are stable when the rate of step changing is small with any multistep formula. The practical implications of these results are discussed.",

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AB - The effects of two different techniques for implementing variable mesh sizes in multistep formulas are investigated. It is proved that one is stable for a greater variation in step sizes than the other with Adams formulas, but that both are stable when the rate of step changing is small with any multistep formula. The practical implications of these results are discussed.

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EFFECT OF VARIABLE MESH SIZE ON THE STABILITY OF MULTISTEP METHODS.

Abstract

All Science Journal Classification (ASJC) codes

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