A WAVELET-TAYLOR GALERKIN METHOD FOR PARABOLIC AND HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0219876205000375zbMath1189.65226MaRDI QIDQ3573655

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Publication date: 1 July 2010

Published in: International Journal of Computational Methods (Search for Journal in Brave)

zbMATH Keywords

waveletsparabolic equationhyperbolic equationtime marching schemeTaylor-Galerkin method

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Cites Work

• An adaptive wavelet-vaguelette algorithm for the solution of PDEs
• An analysis of time discretization in the finite element solution of hyperbolic problems
• Adaptive wavelet methods for hyperbolic PDEs
• Wavelet-Galerkin discretization of hyperbolic equations
• Numerical convective schemes based on accurate computation of space derivatives
• A Taylor-Galerkin method for convective transport problems
• Sobolev Characterization of Solutions of Dilation Equations
• A Wavelet-Optimized, Very High Order Adaptive Grid and Order Numerical Method
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations
• Solving Multi-dimensional Evolution Problems with Localized Structures using Second Generation Wavelets
• Solving Hyperbolic PDEs Using Interpolating Wavelets
• Systems of conservation laws
• Difference schemes for hyperbolic equations with high order of accuracy
• On the stability of difference schemes
• Second-generation wavelet collocation method for the solution of partial differential equations

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