The 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.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540443254
eBay Product ID (ePID)
94692634
Product Key Features
Author
Siegfried Muller
Publication Name
Adaptive Multiscale Schemes for Conservation Laws
Format
Paperback
Language
English
Subject
Engineering & Technology, Mathematics, Physics
Publication Year
2002
Type
Textbook
Number of Pages
188 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
27
Item Weight
670g
Additional Product Features
Title_Author
Siegfried Muller
Series Title
Lecture Notes in Computational Science and Engineering
Country/Region of Manufacture
Germany
Best Selling in Adult Learning & University
Current slide {CURRENT_SLIDE} of {TOTAL_SLIDES}- Best Selling in Adult Learning & University