Numerical treatment of partial differential equations / Christian Grossmann, Hans-Görg Roos ; translated and revised by Martin Stynes.

By: Grossmann, ChristianContributor(s): Roos, Hans-Görg, 1949- [autor] | Stynes, M. (Martin), 1951- [translated and revised]Material type: TextTextLanguage: English Original language: German Series: UniversitextCopyright date: Berlin ; New York : Springer, 2007Edition: First EditionDescription: xii, 591 pages : illustrations ; 24 cmISBN: 9783540715825 Uniform titles: Numerische Behandlung Partieller Differentialgleichungen. English. Subject(s): Differential equations, Partial -- Numerical solutions | Ecuaciones diferenciales parciales -- Soluciones numéricas | Finite differences | Diferencias finitas | Finite element method | Método de elementos finitos | Numerical analysis | Análisis numéricoDDC classification: 518.64
Partial 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.
Abstract: 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 from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages.
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Libro académico Libro académico Biblioteca del Campus
518.64 G8789n 2007 (Browse shelf (Opens below)) Ej. 1 Available 001918
Libro académico Libro académico Biblioteca del Campus
518.64 G8789n 2007 (Browse shelf (Opens below)) Ej. 2 Available 001919
Libro académico Libro académico Biblioteca del Campus
518.64 G8789n 2007 (Browse shelf (Opens below)) Ej. 3 Available 001920
Total holds: 0

Includes index.

Includes bibliographical references (pages [571]-583).

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.

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 from current computer hardware have together stimulated the rapid development of numerical methods for partial di?erential equations—a development that encompasses convergence analyses and implementational aspects of software packages.

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