Multiscale Problems and Methods in Numerical Simulations: Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 9-15, 2001, Issue 1825

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Springer Science & Business Media, Oct 22, 2003 - Mathematics - 161 pages
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This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant "scales" in a physical phenomenon; the detection and representation of "structures", localized in space or in frequency, in the solution of a mathematical model; the decomposition of a function into "details" that can be organized and accessed in decreasing order of importance; and the iterative solution of systems of linear algebraic equations using "multilevel" decompositions of finite dimensional spaces.

 

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Contents

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About the author (2003)

Albert Cohen is a professor of mathematics at Laboratoire d'Analysis Numerique Universite Pierre et Marie Curie (Paris, France).