Mixed symbolic–numerical computations with general DAEs I: System properties

Differential-algebraic equations (DAEs) arise in many ways in many types of problems. In this expository paper we discuss a variety of situations where we have found mixed symbolic-numerical calculations to be essential. The paper is designed to both familiarize the reader with several fundamental D...

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Vydáno v:Numerical algorithms Ročník 19; číslo 1-4; s. 73 - 83
Hlavní autoři: Campbell, S.L., Hollenbeck, R., Yeomans, K., Zhong, Y.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer Nature B.V 01.12.1998
Témata:
Differential equations
ISSN:1017-1398, 1572-9265
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Shrnutí:Differential-algebraic equations (DAEs) arise in many ways in many types of problems. In this expository paper we discuss a variety of situations where we have found mixed symbolic-numerical calculations to be essential. The paper is designed to both familiarize the reader with several fundamental DAE ideas and to present some applications. The situations discussed include the analysis of DAEs, the solution of DAEs, and applications which include DAEs. Both successes and challenges will be presented.
Bibliografie:ObjectType-Article-1
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ISSN:1017-1398
1572-9265
DOI:10.1023/A:1019154423096