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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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Detalles Bibliográficos
Autor Principal: Robertz, Daniel. (Author, http://id.loc.gov/vocabulary/relators/aut)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:English
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Series:Lecture Notes in Mathematics, 2121
Subjects:
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.
Acceso en liña:https://doi.org/10.1007/978-3-319-11445-3
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Table of Contents:
  • 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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