Wavelet-Galerkin methods: An adapted biorthogonal wavelet basis

DOI10.1007/BF01198005zbMath0777.34015MaRDI QIDQ1801489

Stephan Dahlke, Ilona Weinreich

Publication date: 12 December 1993

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

differential operatorelliptic differential operatorsbiorthogonal wavelet basiscondition number of the stiffness matrixmultiresolution analysis approximation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary value problems for functional-differential equations (34K10) Miscellaneous applications of functional analysis (46N99) Numerical analysis in abstract spaces (65J99)

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Cites Work

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• Orthonormal bases of compactly supported wavelets
• Stationary subdivision
• On Compactly Supported Spline Wavelets and a Duality Principle
• Sobolev Characterization of Solutions of Dilation Equations
• Biorthogonal bases of compactly supported wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
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