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- catalog abstract "This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The particular constructions are guided by the ultimate goal to ensure the key features also for general domains and problem classes. All constructions are illustrated by figures and examples are given.".
- catalog contributor b12897675.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "1. Wavelet Bases. 1.1. Wavelet Bases in L[subscript 2] ([Omega]). 1.2. Wavelets on the Real Line. 1.3. Wavelets on the Interval. 1.4. Tensor Product Wavelets. 1.5. Wavelets on General Domains. 1.6. Vector Wavelets -- 2. Wavelet Bases for H(div) and H(curl). 2.1. Differentiation and Integration. 2.2. The Spaces H(div) and H(curl). 2.3. Wavelet Systems for H(curl). 2.4. Wavelet Bases for H(div). 2.5. Helmholtz and Hodge Decompositions. 2.6. General Domains -- 3. Applications. 3.1. Robust and Optimal Preconditioning. 3.2. Analysis and Simulation of Turbulent Flows. 3.3. Hardening of an Elastoplastic Rod.".
- catalog description "Includes bibliographical references (p. [161]-167) and index.".
- catalog description "This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The particular constructions are guided by the ultimate goal to ensure the key features also for general domains and problem classes. All constructions are illustrated by figures and examples are given.".
- catalog extent "xv, 181 p. :".
- catalog identifier "3540430555 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in computational science and engineering, 1439-7358 ; 22".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "515/.2433 21".
- catalog subject "Computer science Mathematics.".
- catalog subject "Computer science.".
- catalog subject "Engineering mathematics.".
- catalog subject "Mathematical models.".
- catalog subject "Mathematics.".
- catalog subject "QA403.3 .U73 2002".
- catalog subject "Wavelets (Mathematics)".
- catalog tableOfContents "1. Wavelet Bases. 1.1. Wavelet Bases in L[subscript 2] ([Omega]). 1.2. Wavelets on the Real Line. 1.3. Wavelets on the Interval. 1.4. Tensor Product Wavelets. 1.5. Wavelets on General Domains. 1.6. Vector Wavelets -- 2. Wavelet Bases for H(div) and H(curl). 2.1. Differentiation and Integration. 2.2. The Spaces H(div) and H(curl). 2.3. Wavelet Systems for H(curl). 2.4. Wavelet Bases for H(div). 2.5. Helmholtz and Hodge Decompositions. 2.6. General Domains -- 3. Applications. 3.1. Robust and Optimal Preconditioning. 3.2. Analysis and Simulation of Turbulent Flows. 3.3. Hardening of an Elastoplastic Rod.".
- catalog title "Wavelets in numerical simulation : problem adapted construction and applications / Karsten Urban.".
- catalog type "text".