Numerical Treatment of 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...

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Bibliographic Details
Main Authors: Grossmann, Christian. author (author), Roos, Hans-Görg. author, Stynes, Martin. author
Format: eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg 2007.
Edition:1st ed. 2007.
Series:Universitext,
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461783006719
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.