Formal Algorithmic Elimination for PDEs

Name: Formal Algorithmic Elimination for PDEs
Brand: Springer International Publishing AG
SKU: 9783319114446
Price: 52.71 EUR
Availability: InStock

Автор: Daniel Robertz

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад

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

Информация за книгата

Автор

Daniel Robertz

Език

Английски език

Корици

Книга - С меки корици

Издадена

2014

страници

283

EAN

9783319114446

ISBN

3319114441

Enbook ID

05193492

Издател

Springer International Publishing AG

Теглоt

4511

Размери

155 x 235 x 14

Пълно описание

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

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Пълно описание

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