Multiscale problems and methods in numerical simulations
Subtitle: lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001
By: J.H. Bramble, A. Cohen, W. Dahmen ; editor C. Canuto
Contributors: Bramble, J. H.; Cohen, Albert, 1965-; Dahmen, Wolfgang, 1949-; Centro internazionale matematico estivo
Series: Lecture notes in mathematics -- 1825; Lecture notes in mathematics (Springer-Verlag) -- 1825
Publisher: Springer-Verlag
Published: 2003
Place of publication: Berlin; New York
Language: eng
Number of pages: 161
Subjects: Statistical mechanics -- Congresses; Numerical analysis -- Congresses; Semiconductors -- Statistical methods -- Congresses
Genres: Congresses
Description: 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.
Notes: Includes bibliographical references