Lectures On Numerical Methods For Non Linear Variational Problems


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Lectures on Numerical Methods for Non-Linear Variational Problems


Lectures on Numerical Methods for Non-Linear Variational Problems

Author: R. Glowinski

language: en

Publisher: Springer Science & Business Media

Release Date: 2008-01-22


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When Herb Keller suggested, more than two years ago, that we update our lectures held at the Tata Institute of Fundamental Research in 1977, and then have it published in the collection Springer Series in Computational Physics, we thought, at first, that it would be an easy task. Actually, we realized very quickly that it would be more complicated than what it seemed at first glance, for several reasons: 1. The first version of Numerical Methods for Nonlinear Variational Problems was, in fact, part of a set of monographs on numerical mat- matics published, in a short span of time, by the Tata Institute of Fun- mental Research in its well-known series Lectures on Mathematics and Physics; as might be expected, the first version systematically used the material of the above monographs, this being particularly true for Lectures on the Finite Element Method by P. G. Ciarlet and Lectures on Optimization—Theory and Algorithms by J. Cea. This second version had to be more self-contained. This necessity led to some minor additions in Chapters I-IV of the original version, and to the introduction of a chapter (namely, Chapter Y of this book) on relaxation methods, since these methods play an important role in various parts of this book.

Lectures on Numerical Methods for Non-Linear Variational Problems


Lectures on Numerical Methods for Non-Linear Variational Problems

Author: R. Glowinski

language: en

Publisher: Springer

Release Date: 1980


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Originally published in the "Springer Series in Computational Physics," this classic in applied mathematics, computational physics and engineering is still a valuable resource for practitioners in industry and physics as well as for advanced students.

Numerical Methods for Nonlinear Variational Problems


Numerical Methods for Nonlinear Variational Problems

Author: Roland Glowinski

language: en

Publisher: Springer

Release Date: 2013-10-03


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This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.