Convergence estimates for the wavelet-Galerkin method: Superconvergence at the node points

DOI10.1007/BF03177516zbMath0840.65101OpenAlexW2031186469MaRDI QIDQ1904142

Sônia M. Gomes

Publication date: 30 June 1996

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03177516

zbMATH Keywords

wavelet analysissuperconvergenceerror estimateB-splinesscaling functionswavelet-Galerkin methodmultiresolution analysesStrang-Fix condition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Postprocessing Galerkin method using quadratic spline wavelets and its efficiency ⋮ Two adaptive wavelet algorithms for nonlinear parabolic partial differential equations

Cites Work

• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Convergence Estimates for Galerkin Methods for Variable Coefficient Initial Value Problems
• Fourier Analysis of the Finite Element Method in Ritz‐Galerkin Theory
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