Approximation methods for the consistent intialization of differential--algebraic equations

B. Leimkuhler; L. R. Petzold; C. W. Gear

doi:10.1137/0728011

Approximation methods for the consistent intialization of differential--algebraic equations

B. Leimkuhler, L. R. Petzold, C. W. Gear

Chemical & Biological Engineering

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

60 Scopus citations

Abstract

The algebraic constraints in a system of differential-algebraic equations (DAEs) impose a consistency requirement on the initial values that can be difficult to satisfy. In this paper the consistency requirement is characterized by a system of equations. An approximation method is introduced for these equations, and the numerical solution of the resulting system is analyzed for certain important classes of DAEs. Finally, a numerical experiment is described.

Original language	English (US)
Pages (from-to)	205-226
Number of pages	22
Journal	SIAM Journal on Numerical Analysis
Volume	28
Issue number	1
DOIs	https://doi.org/10.1137/0728011
State	Published - 1991

All Science Journal Classification (ASJC) codes

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/0728011

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abstract = "The algebraic constraints in a system of differential-algebraic equations (DAEs) impose a consistency requirement on the initial values that can be difficult to satisfy. In this paper the consistency requirement is characterized by a system of equations. An approximation method is introduced for these equations, and the numerical solution of the resulting system is analyzed for certain important classes of DAEs. Finally, a numerical experiment is described.",

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Approximation methods for the consistent intialization of differential--algebraic equations

Abstract

All Science Journal Classification (ASJC) codes

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