Multiscale and Multiresolution Methods
Subtitle: Theory and Applications (Lecture Notes in Computational Science and Engineering)
Contributors: Timothy J. Barth (Editor); Tony Chan (Editor); Robert Haimes (Editor)
Edition: 1 edition
Publisher: Springer
Published: December 6, 2001
Language: eng
Format: Paperback
Number of pages: 392
ISBN-13: 9783540424208
Subjects: Applied mathematics; Calculus & mathematical analysis; General Theory of Computing; Wavelets (Mathematics); Multigrid methods (Numerical analysis); General; Numerical Analysis; Harmonic Analysis; Mathematics; Multigrid methods (Numerical a; Science/Mathematics; Infinity; Number Systems; Mathematics / Number Systems; hierarchical representation; homogenization; Probability & Statistics - General; Congresses; Differential Equations; Functional Analysis; Finite element method
First sentence: Despite their dizzying speed, modern supercomputers are still incapable of handling many most vital scientific problems.
Description: Many computionally challenging problems omnipresent in science and engineering exhibit multiscale phenomena so that the task of computing or even representing all scales of action is computationally very expensive unless the multiscale nature of these problems is exploited in a fundamental way. Some diverse examples of practical interest include the computation of fluid turbulence, structural analysis of composite materials, terabyte data mining, image processing, and a multitude of others. This book consists of both invited and contributed articles which address many facets of efficient multiscale representation and scientific computation from varied viewpoints such as hierarchical data representations, multilevel algorithms, algebraic homogeni- zation, and others. This book should be of particular interest to readers interested in recent and emerging trends in multiscale and multiresolution computation with application to a wide range of practical problems.