Introduction to Partial Differential Equations A Computational Approach /

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in resea...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Tveito, Aslak (Autor), Winther, Ragnar (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Texts in Applied Mathematics, 29
Temas:
Mathematical analysis.
Differential equations.
Mathematics-Data processing.
Analysis.
Differential Equations.
Computational Science and Engineering.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Setting the Scene
  • Two-Point Boundary Value Problems
  • The Heat Equation
  • Finite Difference Schemes for the Heat Equation
  • The Wave Equation
  • Maximum Principles
  • Poisson's Equation in Two Space Dimensions
  • Orthogonality and General Fourier Series
  • Convergence of Fourier Series
  • The Heat Equation Revisited
  • Reaction-Diffusion Equations
  • Applications of the Fourier Transform.

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