Wavelet numerical detection for singularly perturbed elliptic boundary value problems

DOI10.1007/BF02850763zbMath0973.65093OpenAlexW2067160614MaRDI QIDQ2712659

Xuming Yi, Ai-qing Zhang

Publication date: 3 December 2001

Published in: Wuhan University Journal of Natural Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02850763

zbMATH Keywords

singular perturbationinverse problemnumerical experimentsboundary layerlinear reaction-diffusion equationdetection of singularitywavelet-collocation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Numerical methods for wavelets (65T60) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

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• Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
• Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements
• Wavelets and the numerical solution of partial differential equations
• A theory for multiresolution signal decomposition: the wavelet representation
• Singularity detection and processing with wavelets

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