Formal Algorithmic Elimination for Pdes
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Opis: Formal Algorithmic Elimination for Pdes - Daniel Robertz

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.Introduction.- Formal Methods for PDE Systems.- Differential Elimination for Analytic Functions.- Basic Principles and Supplementary Material.- References.- List of Algorithms.- List of Examples.- Index of Notation.- Index.


Szczegóły: Formal Algorithmic Elimination for Pdes - Daniel Robertz

Tytuł: Formal Algorithmic Elimination for Pdes
Autor: Daniel Robertz
Producent: Springer Verlag
ISBN: 9783319114446
Rok produkcji: 2014
Ilość stron: 285
Oprawa: Miękka


Recenzje: Formal Algorithmic Elimination for Pdes - Daniel Robertz
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Formal Algorithmic Elimination for Pdes

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.Introduction.- Formal Methods for PDE Systems.- Differential Elimination for Analytic Functions.- Basic Principles and Supplementary Material.- References.- List of Algorithms.- List of Examples.- Index of Notation.- Index.

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Cena 200,00 PLN
Nasza cena 190,40 PLN
Oszczędzasz 4%
Wysyłka: Niedostępna
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Szczegóły: Formal Algorithmic Elimination for Pdes - Daniel Robertz

Tytuł: Formal Algorithmic Elimination for Pdes
Autor: Daniel Robertz
Producent: Springer Verlag
ISBN: 9783319114446
Rok produkcji: 2014
Ilość stron: 285
Oprawa: Miękka


Recenzje: Formal Algorithmic Elimination for Pdes - Daniel Robertz

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