Multigrid

Erscheinungsjahr 2000
ISBN: 978-0-12-701070-0
Verlag: William Andrew Publishing

Buch, Englisch, 631 Seiten, Format (B × H): 191 mm x 235 mm, Gewicht: 1400 g

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.

Zielgruppe

Students and researchers in mathematics, engineering, physics, chemistry, meteorology, scientific computing, and computer science

Autoren/Hrsg.

Trottenberg, Ulrich

Oosterlee, Cornelius W.

Schuller, Anton

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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