Essential Partial Differential Equations Analytical and Computational Aspects

Essential Partial Differential Equations Analytical and Computational Aspects / by David F. Griffiths, John W. Dold, David J. Silvester.

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)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Springer Undergraduate Mathematics Series,
Springer eBook Collection.
Subjects:
Partial differential equations.
Mathematical physics.
Computer mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
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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