Multigrid

ISBN-13: 9780127010700 / Angielski / Twarda / 2000 / 631 str.

Ulrich Trottenberg; U. Trottenberg; Cornelius W. Oosterlee

Opis

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 Center 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

Recenzje

"...Multigrid is a useful book in many respects. It gives a clear introduction to the student, it is a handbook for the practitioner, and for the expert it is a good reference and a nice compilation of knowledge..." --Pieter W. Hemker in SIAM Review, Vol. 44, No. 1, 2002

"Multigrid is easily the best practical textbook in existence on multigrid methods...it represents a comprehensive guide with numerous valuable suggestions, warnings and hints which could previously have been learned only with direct contact with experts..." --Irad Yavneh in ZAMM- Journal of Applied Mathematics and Mechanics 83, No.11, 2003

Spis treści

Preface
Introduction
Basic Multigrid I
Elementary Multigrid Theory
Local Fourier Analysis
Basic Multigrid II
Parallel Multigrid in Practice
More Advanced Multigrid
Multigrid for Systems of Equations
Adaptive Multigrid
Some More Multigrid Applications
Appendixes
An Introduction to Algebraic Multigrid (by Klaus Stuben)
Subspace Correction Methods and Multigrid Theory (by Peter Oswald)
Recent Developments in Multigrid Efficiency in Computational Fluid Dynamics (by Achi Brandt)
References
Index