Wavelet methods : elliptic boundary value problems and control problems
著者
書誌事項
Wavelet methods : elliptic boundary value problems and control problems
（Advances in numerical mathematics）
B.G. Teubner, 2001
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Diese Monographie spannt einen Bogen rund um die aktuelle Thematik Wavelets, um neueste Entwicklungen anhand aufeinander aufbauender Probleme darzustellen und das konzeptuelle Potenzial von Waveletmethoden fur Partielle Differentialgleichungen zu demonstrieren.
目次
A General Concept - Multiscale Decomposition of Function Spaces - Wavelets on Bounded Domains and Manifolds - Elliptic Boundary - Value Problems - The Fictitious Domain-Lagrange Multiplier Approach - Stability for the Saddle Point Problem: The LBB Condition - Least Squares Formulation of General Saddle Point Problems - Wavelet Representation of Least Squares Systems - Preconditioning and Computational Work - Control Problems - Weakly Coupled Saddle Point Problems - Semi-Iterative Methods - A Fully Iterative Method for Coupled Saddle Point Problems - Complexity Analysis - Numerical Examples
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