A NEW REFINEMENT WAVELET–GALERKIN METHOD IN A SPLINE LOCAL MULTIRESOLUTION ANALYSIS SCHEME FOR BOUNDARY VALUE PROBLEMS

DOI10.1142/S021969131350015XzbMath1277.65067MaRDI QIDQ2836531

E. P. Serrano, Victoria Vampa, Maria Teresa Martín

Publication date: 3 July 2013

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

multiresolution analysisnumerical exampleswavelet-Galerkin methoderror estimator\(B\)-spline functionssecond-order boundary problems

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

Fast and Slow Boundary Oscillations in a Thin Domain ⋮ Construction of beam elements considering von Kármán nonlinear strains using B-spline wavelet on the interval ⋮ Wavelet B-Splines Bases on the Interval for Solving Boundary Value Problems

Cites Work

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• A hybrid method using wavelets for the numerical solution of boundary value problems on the interval
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• Ten Lectures on Wavelets
• Adaptive Multiresolution Collocation Methods for Initial-Boundary Value Problems of Nonlinear PDE<scp>s</scp>
• CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS

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