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Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems (Paperback)

Roland Glowinski

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ISBN 10: 1611973775 / ISBN 13: 9781611973778
Edité par Society for Industrial Applied Mathematics,U.S., United States, 2015
Neuf(s) Etat : New Paperback
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Language: English . Brand New Book. The computational methods that have proven essential for the solution of a large variety of nonlinear elliptic problems are discussed in detail in this book, with particular focus on their application to problems in continuum mechanics and physics. Unlike many books on this topic, the author presents examples of the power and versatility of operator-splitting methods, as well as providing readers with a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering. The book also shows how nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. Recommended for advanced graduate students and researchers in applied and computational mathematics, as well as research engineers, mathematical physicists, and systems engineers. N° de réf. du libraire AAA9781611973778

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Détails bibliographiques

Titre : Variational Methods for the Numerical ...

Éditeur : Society for Industrial Applied Mathematics,U.S., United States

Date d'édition : 2015

Reliure : Paperback

Etat du livre :New

A propos de ce titre

Synopsis :

The computational methods that have proven essential for the solution of a large variety of nonlinear elliptic problems are discussed in detail in this book, with particular focus on their application to problems in continuum mechanics and physics. Unlike many books on this topic, the author presents examples of the power and versatility of operator-splitting methods, as well as providing readers with a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly non-smooth) problems from science and engineering. The book also shows how nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. Recommended for advanced graduate students and researchers in applied and computational mathematics, as well as research engineers, mathematical physicists, and systems engineers.

Description du livre:

This book provides a detailed discussion of the computational methods that have proven efficient for the solution of various nonlinear elliptic problems. Particular focus is given to their application to problems in continuum mechanics and physics, providing useful insights to advanced graduates, researchers in applied mathematics and research engineers.

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