Numerical Methods for Nonlinear Partial Differential Equations

Numerical Methods for Nonlinear Partial Differential Equations
Author :
Publisher : Springer
Total Pages : 394
Release :
ISBN-10 : 9783319137971
ISBN-13 : 3319137972
Rating : 4/5 (972 Downloads)

Book Synopsis Numerical Methods for Nonlinear Partial Differential Equations by : Sören Bartels

Download or read book Numerical Methods for Nonlinear Partial Differential Equations written by Sören Bartels and published by Springer. This book was released on 2015-01-19 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Numerical Methods for Nonlinear Partial Differential Equations Related Books

Numerical Methods for Nonlinear Partial Differential Equations
Language: en
Pages: 394
Authors: Sören Bartels
Categories: Mathematics
Type: BOOK - Published: 2015-01-19 - Publisher: Springer

DOWNLOAD EBOOK

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear
Solving Nonlinear Partial Differential Equations with Maple and Mathematica
Language: en
Pages: 372
Authors: Inna Shingareva
Categories: Mathematics
Type: BOOK - Published: 2011-07-24 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The emphasis of the book is given in how to construct different types of solutions (exact, approximate analytical, numerical, graphical) of numerous nonlinear P
Analytic Methods for Partial Differential Equations
Language: en
Pages: 308
Authors: G. Evans
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades,
Handbook of Nonlinear Partial Differential Equations
Language: en
Pages: 835
Authors: Andrei D. Polyanin
Categories: Mathematics
Type: BOOK - Published: 2004-06-02 - Publisher: CRC Press

DOWNLOAD EBOOK

The Handbook of Nonlinear Partial Differential Equations is the latest in a series of acclaimed handbooks by these authors and presents exact solutions of more
Analytical Techniques for Solving Nonlinear Partial Differential Equations
Language: en
Pages: 151
Authors: Daniel J. Arrigo
Categories: Mathematics
Type: BOOK - Published: 2022-06-01 - Publisher: Springer Nature

DOWNLOAD EBOOK

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and