Numerical Methods for Nonlinear Partial Differential Equations

Sören Bartels

ISBN 10: 3319356801 / ISBN 13: 9783319356808

Published by Springer, Palgrave Macmillan Okt 2016, 2016

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 404 pp. Englisch.

Seller Inventory # 9783319356808

Bibliographic Details

• Title: Numerical Methods for Nonlinear Partial Differential Equations
• Publisher: Springer, Palgrave Macmillan Okt 2016
• Publication Date: 2016
• Language: English
• ISBN 10: 3319356801
• ISBN 13: 9783319356808
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 22D millimeters 235 millimeters width by 155 millimeters height by 22 millimeters depth
• Weight: 610 grams

About this title

Synopsis

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.