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Numerical solution of differential algebraic equations and computation of consistent initial/boundary conditions

โœ Scribed by Pierluigi Amodio; Francesca Mazzia

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
621 KB
Volume
87
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

Boundary value methods for the solution of differential-algebraic equations are described. We consider both initial and boundary value problems and derive an algorithm that does not require additional information from the user, but only the initial or boundary conditions needed in theory to obtain a unique solution.

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Numerical solution of hybrid systems of differential-algebraic equations
โœ Peter Hamann; Volker Mehrmann ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 319 KB

We present a mathematical framework for general over-and under-determined hybrid (switched) systems of differential-algebraic equations (HDAEs). We give a systematic formulation of HDAEs and discuss existence and uniqueness of solutions, the treatment of the switch points and how to perform consiste