Essential Partial Differential Equations Analytical and Computational Aspects /

This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these; the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy metho...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Griffiths, David F. (Autor), Dold, John W. (Autor), Silvester, David J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Springer Undergraduate Mathematics Series,
Temas:
Differential equations.
Mathematical physics.
Mathematics-Data processing.
Differential Equations.
Mathematical Physics.
Computational Mathematics and Numerical Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Setting the scene
  • Boundary and initial data
  • The origin of PDEs
  • Classification of PDEs
  • Boundary value problems in R1
  • Finite difference methods in R1
  • Maximum principles and energy methods
  • Separation of variables
  • The method of characteristics
  • Finite difference methods for elliptic PDEs
  • Finite difference methods for parabolic PDEs
  • Finite difference methods for hyperbolic PDEs
  • Projects.

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