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Article
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SIAM Journal on Scientific and Statistical Computing
Article . 1983 . Peer-reviewed
Data sources: Crossref
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An Initialization Program for Separably Stiff Systems

An initialization program for separably stiff systems
Authors: Watkins, David S.;

An Initialization Program for Separably Stiff Systems

Abstract

Initialization of a separably stiff system of ordinary differential equations consists of readjusting certain initial values, while holding the others fixed, in such a way that the solution of the system does not have an initial transient. This paper discusses the features of a FORTRAN program which solves the initialization problem. The algorithm used is simpler and faster than those used previously. Numerical results are given for a simple test problem and more complex problems which arise in the physics of the upper ionosphere and the solar wind.

Keywords

invariant subspace, stiff eigenvalues, FORTRAN program, Software, source code, etc. for problems pertaining to ordinary differential equations, simultaneous iteration, numerical experiments, Numerical methods for initial value problems involving ordinary differential equations, QR algorithm, separably stiff system

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
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