Description: Numerical Methods for Nonlinear Partial Differential Equations Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Soeren Bartels Format: Paperback Publisher: Springer International Publishing AG, Switzerland Imprint: Springer International Publishing AG ISBN-13: 9783319356808, 978-3319356808 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.
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Book Title: Numerical Methods for Nonlinear Partial Differential Equations
Number of Pages: 393 Pages
Language: English
Publication Name: Numerical Methods for Nonlinear Partial Differential Equations
Publisher: Springer International Publishing A&G
Publication Year: 2016
Subject: Mathematics
Item Height: 235 mm
Item Weight: 6088 g
Type: Textbook
Author: Soeren Bartels
Series: Springer Series in Computational Mathematics
Item Width: 155 mm
Format: Paperback