Kniha Formal Algorithmic Elimination for PDEs Daniel Robertz

Formal Algorithmic Elimination for PDEs

Jazyk: Angličtina
Väzba: Brožovaná
Dostupnosť: Skladom u dodávateľa v malom množstve
Odosielame za 11-15 dní
54.21
This monograph investigates the correspondence between systems of partial differential equations and...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2014
Stránok
283
EAN
9783319114446
ISBN
3319114441
Enbook ID
05193492
Hmotnosť
4511
Rozmery
155 x 235 x 14

Kompletný 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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