Essential Partial Differential Equations : Analytical and Computational Aspects

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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Bibliographic Details
Main Authors: Griffiths, David F. (Author), Dold, John W. (Author), Silvester, David J. (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:First edition 2015.
Series:Springer undergraduate mathematics series.
Subjects:
Mathematics.
Differential equations, Partial.
Mathematical physics.
Computer science > Mathematics.
Partial Differential Equations.
Mathematical Applications in the Physical Sciences.
Computational Mathematics and Numerical Analysis.
Computer science.
Online Access:Connect to this title online
Table of Contents:
  • 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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