DAESA—A Matlab tool for structural analysis of differential-algebraic equations: theory

Pryce, John D. ORCID: https://orcid.org/0000-0003-1702-7624, Nedialkov, Nedialko S. and Tan, Guangning 2015. DAESA—A Matlab tool for structural analysis of differential-algebraic equations: theory. ACM Transactions on Mathematical Software 41 (2) , 9. 10.1145/2689664

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Abstract

DAESA, Differential-Algebraic Equations Structural Analyzer, is a MATLAB tool for structural analysis of differential-algebraic equations (DAEs). It allows convenient translation of a DAE system into MATLAB and provides a small set of easy-to-use functions. DAESA can analyze systems that are fully nonlinear, highindex, and of any order. It determines structural index, number of degrees of freedom, constraints, variables to be initialized, and suggests a solution scheme. The structure of a DAE can be readily visualized by this tool. It also can construct a block-triangular form of the DAE, which can be exploited to solve it efficiently in a block-wise manner. This paper describes the theory and algorithms underlying the code.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Additional Information:	Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/0098-3500/ (accessed 10/07/14).
Publisher:	Association for Computing Machinery (ACM)
ISSN:	0098-3500
Date of First Compliant Deposit:	30 March 2016
Last Modified:	30 Nov 2024 18:30
URI:	https://orca.cardiff.ac.uk/id/eprint/61455

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