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 / Edition 1

by James H. Bramble, Claudio Canuto, Albert Cohen, Wolfgang Dahmen

Overview

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.

Product Details

ISBN-13:	9783540200994
Publisher:	Springer Berlin Heidelberg
Publication date:	01/12/2004
Series:	Lecture Notes in Mathematics , #1825
Edition description:	2003
Pages:	170
Product dimensions:	6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Preface.- A. Cohen: Theoretical Applied and Computational Aspects of Nonlinear Approximation.- W. Dahmen: Multiscale and Wavelet Methods for Operator Equations.- J. H. Bramble: Multilevel Methods in Finite Elements.