Overview
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1825)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (3 chapters)
Keywords
About this book
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.
Bibliographic Information
Book Title: Multiscale Problems and Methods in Numerical Simulations
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001
Authors: James H. Bramble, Albert Cohen, Wolfgang Dahmen
Editors: Claudio Canuto
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/b13466
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Softcover ISBN: 978-3-540-20099-4Published: 22 October 2003
eBook ISBN: 978-3-540-39810-3Published: 10 December 2003
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XIV, 170
Topics: Fourier Analysis, Approximations and Expansions, Numerical Analysis