Partial Differential Equations. Modeling, Analysis, Computation
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Author(s): R. Matteij, S. Rienstra and J. ten Thije Boonkkamp
Publisher: SIAM
ISBN: 0898715946
Format: softback
665pp
Price: $127.00
Review Date: 07 December 2005
Review: Here the authors treat PDEs by combining analytical and numerical aspects: the two supplement each other and also have, conceptually, much in common. They address three aspects: the analysis of PDEs (including some basic knowledge of tools), numerical solution methods, and modelling. The first five chapters introduce and summarize concepts and properties from a variety of areas, in particular Fourier analysis, distributions, and difference methods. This is followed by chapters on analytical and numerical aspects of the major types of PDEs. The last couple of chapters look at perturbation methods; and modelling, analysing and simulating problems from practice. The book is intended for use in courses at an advanced undergraduate or graduate level. It has been designed to be useful both for engineers, who may be more interested in methods, and for more mathematically-interested readers.