Treating a single, stiff, second-order ODE directly

M. B. Suleiman; C. W. Gear

doi:10.1016/0377-0427(89)90021-6

Treating a single, stiff, second-order ODE directly

M. B. Suleiman, C. W. Gear

Chemical & Biological Engineering

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

6 Scopus citations

Abstract

The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed.

Original language	English (US)
Pages (from-to)	331-348
Number of pages	18
Journal	Journal of Computational and Applied Mathematics
Volume	27
Issue number	3
DOIs	https://doi.org/10.1016/0377-0427(89)90021-6
State	Published - Nov 1989

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Keywords

Ordinary differential equations
numerical integration
stability

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10.1016/0377-0427(89)90021-6

Cite this

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title = "Treating a single, stiff, second-order ODE directly",

abstract = "The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed.",

keywords = "Ordinary differential equations, numerical integration, stability",

author = "Suleiman, {M. B.} and Gear, {C. W.}",

year = "1989",

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T1 - Treating a single, stiff, second-order ODE directly

AU - Suleiman, M. B.

AU - Gear, C. W.

PY - 1989/11

Y1 - 1989/11

N2 - The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed.

AB - The stability of direct methods for second-order systems is examined. The methods, suggested by Krogh, are generalized BDF methods. The control of stepsize to ensure stability is examined and criteria for deciding when to switch between methods are discussed.

KW - Ordinary differential equations

KW - numerical integration

KW - stability

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UR - http://www.scopus.com/inward/citedby.url?scp=45349110137&partnerID=8YFLogxK

U2 - 10.1016/0377-0427(89)90021-6

DO - 10.1016/0377-0427(89)90021-6

M3 - Article

AN - SCOPUS:45349110137

SN - 0377-0427

VL - 27

SP - 331

EP - 348

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 3

ER -

Treating a single, stiff, second-order ODE directly

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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