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Practical Fourier analysis for multigrid methods

  • 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.

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Document Type:Book
Parent Title (English):Numerical insights
Publisher:Chapman & Hall/CRC
Place of publication:Boca Raton, Fla.
Date of first publication:2004/10/24
GND Keyword:Partielle Differentialgleichung; Mehrgitterverfahren; Harmonische Analyse; Software
Departments, institutes and facilities:Fachbereich Elektrotechnik, Maschinenbau, Technikjournalismus
Dewey Decimal Classification (DDC):500 Naturwissenschaften und Mathematik / 510 Mathematik / 518 Numerische Analysis
Entry in this database:2015/04/02