Multiscale Problems and Methods in Numerical Simulations

C.I.M.E. Course on "Multiscale Problems and Methods in Numerical Simulation", William Meeks, James H. Bramble, Albert Cohen, Wolfgang Dahmen, Centro internazionale matematico estivo. Summer School, C. I. M. E. COURSE ON MULTISCALE PROBLEMS, W. Dahmen

Springer Science & Business Media

2003

161 páginas

5h 22m

ISBN-13: 9783540200994

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.