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
2003
ISBN: 978-3-540-20099-4
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1825, 170 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Bramble, James H.

Dahmen, Wolfgang

Cohen, Albert

Canuto, Claudio

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.