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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...

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Detalhes bibliográficos
Autor principal: Robertz, Daniel. (Autor, http://id.loc.gov/vocabulary/relators/aut)
Autor Corporativo: SpringerLink (Online service)
Formato: Recurso Eletrônico livro eletrônico
Idioma:English
Publicado em: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edição:1st ed. 2014.
coleção:Lecture Notes in Mathematics, 2121
Assuntos:
Algebra.
Field theory (Physics).
Commutative algebra.
Commutative rings.
Associative rings.
Rings (Algebra).
Partial differential equations.
Field Theory and Polynomials.
Commutative Rings and Algebras.
Associative Rings and Algebras.
Partial Differential Equations.
Acesso em linha:https://doi.org/10.1007/978-3-319-11445-3
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Sumário:
  • 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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