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Article . 1994
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SIAM Journal on Scientific Computing
Article . 1994 . Peer-reviewed
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Article . 1994
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Collocation Software for Boundary Value Differential-Algebraic Equations

Collocation software for boundary value differential-algebraic equations
Authors: Uri M. Ascher; Raymond J. Spiteri;

Collocation Software for Boundary Value Differential-Algebraic Equations

Abstract

This paper deals with the methods and implementation of a general-purpose code, COLDAE, which can handle boundary value problems for systems of nonlinear semi-explicit differential-algebraic equations (DAEs) of index at most 2 and of fully implicit index 1 DAEs. The code COLDAE extends the package COLNEW of \textit{G. Bader} and \textit{U. Ascher} [SIAM J. Sci. Stat. Comput., 8, 483-500 (1987; Zbl 0633.65084)] using the projected collocation method of \textit{U. Ascher} and \textit{L. Petzold} [SIAM J. Numer. Anal. 28, No. 4, 1097-1120 (1991; Zbl 0732.65067)] and extensions thereof. COLDAE can be obtained from the electronic library netlib.

Keywords

Numerical solution of boundary value problems involving ordinary differential equations, collocation method, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, collocation software, systems of nonlinear semi-explicit differential-algebraic equations, Software, source code, etc. for problems pertaining to ordinary differential equations, COLDAE

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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!
74
Top 10%
Top 1%
Top 10%
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