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Multigrid: Ulrich Trottenberg, Cornelius W. Oosterlee, Anton Schuller

Multigrid presents both an elementary introduction to multigrid methods for solving partial differential equations and a contemporary survey of advanced multigrid techniques and real-life applications.

Multigrid methods are invaluable to researchers in scientific disciplines including physics, chemistry, meteorology, fluid and continuum mechanics, geology, biology, and all engineering disciplines. They are also becoming increasingly important in economics and financial mathematics.

Readers are presented with an invaluable summary covering 25 years of practical experience acquired by the multigrid research group at the Germany National Research left for Information Technology. The book presents both practical and theoretical points of view.

* Covers the whole field of multigrid methods from its elements up to the most advanced applications

* Style is essentially elementary but mathematically rigorous

* No other book is so comprehensive and written for both practitioners and students

Summary: multigrid explained

Rating: 4

as opposed to what another reviewer states, this book has nothing to do with grid computing. instead, it presents a mathematical technique for solving linear systems of equations (with the focus on large, sparse systems arising from the discretization of PDEs). lots of math inside, there's nothing whatsoever for the layman here. the introduction to the basic concepts is quite thorough, and they cover some advanced topics like adaptive multigrid, algebraic multigrid (an extension of MG to general linear systems) and application of MG in computational fluid dynamics. overall, a good book, but I strongly recommend Briggs' and Van Emden Henson's "Multigrid Tutorial" text as a 1st read before tackling this book. the reader is assumed to be familiar with linear algebra (with a focus on matrix calculus and classical iterative methods). to fully understand the later chapters, more advanced exposure to let's say CFD is needed.

Summary: for actual programmers/scientists

Rating: 4

IBM and other companies have been promoting a vision of grid computing. Books have been written, including "Grid Computing" by Joseph and Fellenstein, that describe this approach at a high level. Suitable for system administrators and managers.

By contrast, this book by Trottenberg et al is aimed directly at the scientists and engineers who might be actually writing software for their problems. The mathematical treatment is looser than that in a pure maths book. It's at the typical level for a physic or engineering text. The intent here is not in proving theorems, but in applying them to real world problems.

Specifically, for solving PDEs and linear systems.

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Rating:
2.5 out of 5 by Book123