Wavelet-Galerkin solutions of one dimensional elliptic problems

DOI10.1016/j.apm.2009.10.011zbMath1193.65198OpenAlexW2088096596WikidataQ56935327 ScholiaQ56935327MaRDI QIDQ988434

J. Martínez

Publication date: 26 August 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.10.011

zbMATH Keywords

waveletsGalerkin methodfinite difference methodvariational methodsnumerical solution

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60)

Related Items (5)

Hyperbolic Partial Differential Equations with Nonlocal Mixed Boundary Values and their Analytic Approximate Solutions ⋮ Multilevel augmentation method with wavelet bases for singularly perturbed problem ⋮ Multiresolution wavelet bases with augmentation method for solving singularly perturbed reaction–diffusion Neumann problem ⋮ Postprocessing Galerkin method using quadratic spline wavelets and its efficiency ⋮ Multi-resolution wavelet basis for solving steady forced Korteweg-de Vries model

Cites Work

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• Galerkin-wavelet methods for two-point boundary value problems
• Wavelet solutions for the Dirichlet problem
• Wavelet and finite element solutions for the Neumann problem using fictitious domains
• Orthonormal bases of compactly supported wavelets
• An Introduction to Wavelets Through Linear Algebra
• Wavelet–Galerkin solutions for one‐dimensional partial differential equations
• Wavelets and Dilation Equations: A Brief Introduction

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