Numerical Treatment of Partial Differential Equations

Numerical Treatment of Partial Differential Equations by Christian Grossmann, Hans-Görg Roos, Martin Stynes.

Many well-known models in the natural sciences and engineering, and today even in economics, depend on partial di?erential equations. Thus the e?cient numerical solution of such equations plays an ever-increasing role in state-- the-art technology. This demand and the computational power available f...

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Bibliographic Details
Main Authors: Grossmann, Christian. (Author, http://id.loc.gov/vocabulary/relators/aut), Roos, Hans-Görg. (http://id.loc.gov/vocabulary/relators/aut), Stynes, Martin. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Universitext,
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:
  • Partial Differential Equations: Basics and Explicit Representation of Solutions
  • Finite Difference Methods
  • Weak Solutions, Elliptic Problems and Sobolev Spaces
  • The Finite Element Method
  • Finite Element Methods for Unsteady Problems
  • Singular Perturbations
  • Numerical Methods for Variational Inequalities and Optimal Control
  • Numerical Methods for Discretized Problems.

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