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Practical Fourier Analysis For Multigrid Methods Roman Wienands

  • SKU: BELL-1009386
Practical Fourier Analysis For Multigrid Methods Roman Wienands
$ 31.00 $ 45.00 (-31%)

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Practical Fourier Analysis For Multigrid Methods Roman Wienands instant download after payment.

Publisher: Chapman & Hall/CRC
File Extension: PDF
File size: 2.29 MB
Pages: 223
Author: Roman Wienands, Wolfgang Joppich
ISBN: 9781420034998, 9781584884927, 1420034995, 1584884924
Language: English
Year: 2005

Product desciption

Practical Fourier Analysis For Multigrid Methods Roman Wienands by Roman Wienands, Wolfgang Joppich 9781420034998, 9781584884927, 1420034995, 1584884924 instant download after payment.

Before applying multigrid methods to a project, mathematicians, scientists, and engineers need to answer 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. 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 these questions.

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. The book enables understanding of basic principles of multigrid and local Fourier analysis, and also describes the theory important to those who need to delve deeper into the details of the subject.

The first chapter delivers an explanation of concepts, including Fourier components and multigrid principles. Chapter 2 highlights the basic elements of local Fourier analysis and the limits to this approach. Chapter 3 examines multigrid methods and components, supported by a user-friendly GUI. Chapter 4 provides case studies for two- and three-dimensional problems. Chapters 5 and 6 detail the mathematics embedded within the software system. Chapter 7 presents recent developments and further applications of local Fourier analysis for multigrid methods.

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