A sequential, implicit, wavelet-based solver for multi-scale time-dependent partial differential equations

DOI10.3390/axioms2020142zbMath1297.65111OpenAlexW2059712178MaRDI QIDQ402310

Donald A. McLaren, Lucy J. Campbell, Rémi Vaillancourt

Publication date: 28 August 2014

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms2020142

zbMATH Keywords

convergencewaveletpartial differential equationmultiscaletime discretizationnonlinear problemRossby wave problem

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Initial-boundary value problems for linear higher-order PDEs (35G16)

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Cites Work

• Unnamed Item
• An adaptive multilevel wavelet collocation method for elliptic problems
• A multilevel finite volume method with multiscale-based grid adaptation for steady compressible flows
• A wavelet optimized adaptive multi-domain method
• A dynamically adaptive multilevel wavelet collocation method for solving partial differential equations in a finite domain
• Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations
• A wavelet-based adaptive mesh refinement criterion for large-eddy simulation
• Fast wavelet transforms and numerical algorithms I
• Wave–Mean‐Flow Interactions in a Forced Rossby Wave Packet Critical Layer
• An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid
• Orthonormal bases of compactly supported wavelets
• Biorthogonal bases of compactly supported wavelets
• The Lifting Scheme: A Construction of Second Generation Wavelets
• Coherent vortex simulation (CVS), a semi-deterministic turbulence model using wavelets

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