Formal Algorithmic Elimination for PDEs

Language: English

Published by Palgrave Macmillan, 2014

3319114441 / 9783319114446

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nach der Bestellung gedruckt Neuware - Printed after ordering - Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions. After giving a detailed introduction to Janet bases and Thomas decomposition, the problem of finding an implicit description of certain sets of analytic functions in terms of differential equations is addressed. Effective methods of varying generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how the symbolic solution of partial differential equations profits from the study of the implicitization problem. For instance, certain families of exact solutions of the Navier-Stokes equations can be computed.

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Title
Formal Algorithmic Elimination for PDEs
Author
Daniel Robertz
Publisher
Palgrave Macmillan
Publication year
2014
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3319114441
ISBN 13
9783319114446
Item weight
452 grams
Dimensions
235x155x17 mm

AHA-BUCH GmbH

Einbeck, Germany

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