An adaptive wavelet-vaguelette algorithm for the solution of PDEs

DOI10.1006/jcph.1996.5573zbMath0868.65067OpenAlexW2094735587MaRDI QIDQ676353

Kai Schneider, Jochen Fröhlich

Publication date: 14 July 1997

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1996.5573

zbMATH Keywords

numerical resultsfast algorithmsnonlinear parabolic equationsHelmholtz equationPetrov-Galerkin methodadaptive inversion schemediscrete orthonormal wavelet transformsemi-implicit discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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