Fr. 206.00

Practical Fourier Analysis for Multigrid Methods

English · Hardback

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Zusatztext "… a rather unique distinguished feature is the accompanying LFA software, which is not often found in other multigrid books. … This book presents a thorough and systematic description of [the subject]. Two main features of this book are an extensive selection of problems of different kinds and an accompanying user-friendly software that can perform rather complex local Fourier analysis by just a few mouse clicks. … It was a joy reading this book, and I am happy to have it as a valuable addition to my multigrid book collection." -Mathematics of Computation, April 2007 "This book enables understanding of basic principles of multigrid and local Fourier analysis, allowing investigation of real multigrid effects." -Wilhelm Heinrichs, Zentralblatt MATH Informationen zum Autor Roman Wienands, Wolfgang Joppich Klappentext Practical Fourier Analysis for Multigrid Methods uses a detailed and systematic description of local Fourier k-grid (k=1! 2! 3) analysis for general systems of partial differential equations to provide a framework that answers questions related to the quality of convergence! whether a development will pay out! whether multigrid will work for a particular application! and what the numerical properties are. This volume contains software that confirms written statements about convergence and efficiency of algorithms and is easily adapted to new applications. Providing theoretical background and the linkage between theory and practice! the text and software quickly combine learning by reading and learning by doing. Zusammenfassung Uses a systematic description of local Fourier k-grid (k=1, 2, 3) analysis for general systems of partial differential equations to provide a framework that answers questions related to the quality of convergence, whether a development will pay out, whether multigrid will work for a particular application, and what the numerical properties are. Inhaltsverzeichnis PRACTICAL APPLICATION OF LFA AND xlfa. Introduction. Main Features of local Fourier Analysis for multigrid. Multigrid and its components in LFA. Using the Fourier Analysis software. Case studies. THE THEORY BEHIND LFA. Fourier smoothing analysis. Fourier two- and three-grid analysis. Further applications of local Fourier Analysis....

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