A dynamically adaptive wavelet method for solving partial differential equations

DOI10.1016/S0045-7825(94)80035-9zbMath0823.65092OpenAlexW2078128765MaRDI QIDQ1892474

J. C. Ravel, Yvon Maday, Silvia Bertoluzza

Publication date: 6 November 1995

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(94)80035-9

zbMATH Keywords

stabilityGalerkin methoderror estimateadaptive methodwavelet basesperiodic Burgers' equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Cites Work

• Analysis of a singular elliptic problem by wavelets.
• Pointwise smoothness, two-microlocalization and wavelet coefficients
• On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
• A wavelet based space-time adaptive numerical method for partial differential equations
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