My library button
Book cover of Multiscale Problems and Methods in Numerical Simulations

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

by James H. Bramble, Albert Cohen, Wolfgang Dahmen ยท 2003

Book is in your Library

ISBN: 3540200991 9783540200994

Category: Mathematics / Differential Equations / General

Page count: 161

<p>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.</p>