Partial Differential Equations with Numerical Methods

Partial Differential Equations with Numerical Methods by Stig Larsson, Vidar Thomee.

The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text con...

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Bibliographic Details
Main Authors: Larsson, Stig (Author), Thomee, Vidar (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
Edition:1st ed. 2003.
Series:Texts in Applied Mathematics, 45
Springer eBook Collection.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Numerical analysis.
Partial differential equations.
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:
  • A Two-Point Boundary Value Problem
  • Elliptic Equations
  • Finite Difference Methods for Elliptic Equations
  • Finite Element Methods for Elliptic Equations
  • The Elliptic Eigenvalue Problem
  • Initial-Value Problems for Ordinary Differential Equations
  • Parabolic Equations
  • Finite Difference Methods for Parabolic Problems
  • The Finite Element Method for a Parabolic Problem
  • Hyperbolic Equations
  • Finite Difference Methods for Hyperbolic Equations
  • The Finite Element Method for Hyperbolic Equations
  • Some Other Classes of Numerical Methods.

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