Numerical Treatment of Partial Differential Equations Translated and revised by Martin Stynes /

• Main Authors: Grossmann, Christian (Author), Roos, Hans-Gorg (Author), Stynes, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Universitext
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Numerical analysis.; Analysis.; Numerical Analysis.; Partial Differential Equations.

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...

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.