Practical Fourier Analysis for Multigrid Methods (Hardcover)
Language: English
Published by Taylor & Francis Inc, 2004
Series: Book 4 of 4 - Numerical Insights
- Hardcover
- New
Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller
AbeBooks seller since June 22, 2007
Condition: New
£ 272.29
Quantity: 1 available
Add to basketItem description from seller
Hardcover. Based on the framework of local Fourier analysis, this book describes what is needed for multigrid algorithms in a realistic simulation environment. This analysis helps to optimize different multigrid components and avoid trial and error programming. The book includes software to verify the statements concerning the convergence and efficiency of algorithms. The graphical user interface allows for user-friendly experiments. The first four chapters provide all the information necessary for understanding the basic principles of multigrid and local Fourier analysis and for using the software. The following chapters describe the theory and provide the details behind the software. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…
Seller Inventory # 9781584884927
- Title
- Practical Fourier Analysis for Multigrid Methods (Hardcover)
- Author
- Roman Wienands
- Publisher
- Taylor & Francis Inc
- Publication year
- 2004
- Condition
- new
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1584884924
- ISBN 13
- 9781584884927
- Series
- Book 4 of 4: Numerical Insights
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.
CD Disc content is now a downloadable resource available at www.routledge.com/9781584884927.
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Truganina, VIC, Australia
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