Fourier collocation splittings for partial differential equations

DOI10.1006/jcph.1998.5954zbMath0922.65070OpenAlexW2055654280MaRDI QIDQ1286945

K. Appert

Publication date: 11 October 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.5954

zbMATH Keywords

numerical experimentsBurgers equationreaction-diffusion equationFourier collocation splittingsnonlinear Galerkin type splitting

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Unnamed Item
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• A nonlinear Galerkin method for the Navier-Stokes equations
• Subgrid modelling and the interaction of small and large wavelength in turbulent flows
• On the effectiveness of the approximate inertial manifold -- a computational study
• A nonlinear Galerkin method: The two-level Fourier-collocation case
• Time Marching Multilevel Techniques for Evolutionary Dissipative Problems
• Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation
• Accuracy Enhancement for Higher Derivatives using Chebyshev Collocation and a Mapping Technique
• Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
• Numerical Solution of a Nonlinear Dissipative System Using a Pseudospectral Method and Inertial Manifolds
• Accuracy and Speed in Computing the Chebyshev Collocation Derivative
• On the Rate of Convergence of the Nonlinear Galerkin Methods

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