Formal Algorithmic Elimination for PDEs

Name: Formal Algorithmic Elimination for PDEs
Brand: Springer International Publishing AG
SKU: 9783319114446
Price: 1310 CZK
Availability: InStock

Autor: Daniel Robertz

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele v malém množství

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1 310 Kč

This monograph investigates the correspondence between systems of partial differential equations and...

Informace o knize

Autor

Daniel Robertz

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2014

Stránek

283

EAN

9783319114446

ISBN

3319114441

Enbook ID

05193492

Vydavatel

Springer International Publishing AG

Hmotnost

4511

Rozměry

155 x 235 x 14

Kompletní popis

This monograph investigates the correspondence between systems of partial differential equations and their analytic solutions from a formal viewpoint. Algorithms are presented to determine the set of analytic solutions to such a system and 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 monograph addresses the problem of finding implicit descriptions in terms of differential equations of certain sets of analytic functions. Effective methods of different generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how symbolic solving 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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Formal Algorithmic Elimination for PDEs

Informace o knize

Kompletní popis

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