On the Theory and Numerics of Differential-Algebraic Equations
PITTSBURGH UNIV PA INST FOR COMPUTATIONAL MATHEMATICS AND APPLICATIONS
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This is a written version of a series of invited lectures on differential-algebraic systems of equations DAEs at the IVth SERC Numerical Analysis Summer School of Lancaster Univ. In line with the aims of the meeting these notes introduce some typical applications and basic properties of DAEs and then present an overview of recent, new existence theories for such systems based on differential geometric considerations and on a numerical approach derived from these theories. In the presentation the stress is on general concepts, results and applications rather than on detailed proofs.
- Numerical Mathematics