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2001 | OriginalPaper | Buchkapitel

Perturbation versus Differentiation Indices

verfasst von : Marcus Hausdorf, Werner M. Seiler

Erschienen in: Computer Algebra in Scientific Computing CASC 2001

Verlag: Springer Berlin Heidelberg

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We discuss the relation between perturbation and differentiation indices for overdetermined systems of differential equations based on the formal theory. We show how the Cartan normal form of an involutive system can be used to extend the notion of an underlying equation from differential algebraic equations to partial differential equations. This allows us to generalise results of Campbell and Gear on the relation between perturbation and differentiation indices to systems of partial differential equations.

Metadaten
Titel
Perturbation versus Differentiation Indices
verfasst von
Marcus Hausdorf
Werner M. Seiler
Copyright-Jahr
2001
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-56666-0_24