Numerical Methods for Nonlinear Partial Differential Equations

Nonfiction, Science & Nature, Mathematics, Number Systems, Differential Equations
Cover of the book Numerical Methods for Nonlinear Partial Differential Equations by Sören Bartels, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sören Bartels ISBN: 9783319137971
Publisher: Springer International Publishing Publication: January 19, 2015
Imprint: Springer Language: English
Author: Sören Bartels
ISBN: 9783319137971
Publisher: Springer International Publishing
Publication: January 19, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Formal Languages and Compilation by Sören Bartels
Cover of the book Demography for Planning and Policy: Australian Case Studies by Sören Bartels
Cover of the book Maximum-Entropy Networks by Sören Bartels
Cover of the book Driving Demand for Broadband Networks and Services by Sören Bartels
Cover of the book Advances in Global Optimization by Sören Bartels
Cover of the book Diet, Nutrition, and Fetal Programming by Sören Bartels
Cover of the book Research, Boundaries, and Policy in Networked Learning by Sören Bartels
Cover of the book Genetic Enhancement of Crops for Tolerance to Abiotic Stress: Mechanisms and Approaches, Vol. I by Sören Bartels
Cover of the book Hormones in Ageing and Longevity by Sören Bartels
Cover of the book Polymer/POSS Nanocomposites and Hybrid Materials by Sören Bartels
Cover of the book Poetry And Imagined Worlds by Sören Bartels
Cover of the book The Composition of Sense in Gertrude Stein's Landscape Writing by Sören Bartels
Cover of the book Didactics of Smart Pedagogy by Sören Bartels
Cover of the book Next-Generation Therapies and Technologies for Immune-Mediated Inflammatory Diseases by Sören Bartels
Cover of the book Feeling and Value, Willing and Action by Sören Bartels
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy