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Adaptive Multiscale Schemes for Conservation Laws /

by Siegfried Müller.

Book Cover
Main Author: Müller, Siegfried.
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2003.
Series: Lecture notes in computational science and engineering ; 27.
Topics: Mathematics. | Computer science - Mathematics. | Engineering mathematics.
Genres: Electronic books.
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100 1 |aMüller, Siegfried.
245 10|aAdaptive Multiscale Schemes for Conservation Laws /|cby Siegfried Müller.
260 |aBerlin, Heidelberg :|bSpringer Berlin Heidelberg,|c2003.
300 |a1 online resource (xiv, 184 pages).
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
338 |aonline resource|bcr|2rdacarrier
490 1 |aLecture Notes in Computational Science and Engineering,|x1439-7358 ;|v27
504 |aIncludes bibliographical references (pages 163-168) and index.
505 0 |aModel Problem and its Discretization -- Multiscale Setting -- Locally Refined Spaces -- Adaptive Finite Volume Scheme -- Error Analysis -- Data Structures and Memory Management -- Numerical Experiments -- Plots of Numerical Experiments -- The Context of Biorthogonal Wavelets -- References -- List of Figures -- List of Tables -- Notation -- Index.
520 |aThe main theme of the book centers around adaptive numerical schemes for conservation laws based on a concept of multiresolution analysis. Efficient algorithms are presented for implementing this program for finite volume schemes on unstructured grids for general systems of multidimensional hyperbolic conservation laws. The efficiency is verified for several realistic numerical test examples. In addition, a rather thorough error analysis is supporting the approach. The monograph covers material ranging from the mathematical theory of conservation laws to the nitty-gritty of hash tables and memory management for an actual implementation. This makes it a self-contained book for both numerical analysts interested in the construction and the theory of adapative finite volume schemes as well as for those looking for a detailed guide on how to design and implement adaptive wavelet based solvers for real world problems. Since modern techniques are presented in an appealing way, the material is also well suited for an advanced course in numerical mathematics.
650 0|aMathematics.
650 0|aComputer science|xMathematics.
650 0|aEngineering mathematics.
650 7|aComputer science|xMathematics.|2fast|0(OCoLC)fst00872460
650 7|aEngineering mathematics.|2fast|0(OCoLC)fst00910601
650 7|aMathematics.|2fast|0(OCoLC)fst01012163
655 4|aElectronic books.
776 08|iPrint version:|z9783540443254
830 0|aLecture notes in computational science and engineering ;|v27.
856 40|3SpringerLink - Full text online|uhttp://www.library.illinois.edu/proxy/go.php?url=http://dx.doi.org/10.1007/978-3-642-18164-1
938 |aYBP Library Services|bYANK|n13357922
938 |aEBL - Ebook Library|bEBLB|nEBL3087479
994 |aC0|bUIU

Staff View for: Adaptive Multiscale Schemes for Conserva