Formal Algorithmic Elimination for PDEs
Language: English
Published by Springer International Publishing, 2014
- Softcover
- New
Seller: moluna, Greven, Germanymoluna
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Condition: New
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains a detailed introduction to Janet bases and Thomas decompositionDevelops solutions to many elimination problems for algebraic and differential systemsIncludes non-trivial applications to formal aspects of systems of partial differen.
Seller Inventory # 4499033
- Title
- Formal Algorithmic Elimination for PDEs
- Author
- Daniel Robertz
- Publisher
- Springer International Publishing
- Publication year
- 2014
- Condition
- New
- Binding
- Kartoniert / Broschiert
- Language
- English
- ISBN 10
- 3319114441
- ISBN 13
- 9783319114446
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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