Numerical Methods for Nonlinear Partial Differential Equations (Springer Series in Computational Mathematics, Band 47) - Softcover

Bartels, Sören

Softcover

ISBN 10: 3319356801 ISBN 13: 9783319356808

Verlag: Springer, 2016

Inhaltsangabe

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

Über diesen Titel

Über die Autorin bzw. den Autor

Sören Bartels is Professor of Applied Mathematics at the Albert-Ludwigs Universität in Freiburg, Germany. His primary research interest is in the development and analysis of approximation schemes for nonlinear partial differential equations with applications in the simulation of modern materials. Professor Bartels has published the Springer textbook "Numerical approximation of partial differential equations" and the monograph "Numerical methods for nonlinear partial differential equations" in the Springer Series in Computational Mathematics.

Von der hinteren Coverseite

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 3319356801
• ISBN 13: 9783319356808
• Einband: Taschenbuch
• Anzahl der Seiten: 404
• Kontakt zum Hersteller: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Deutschland