Frequency optimized RBF-FD for wave equations

DOI10.1016/j.jcp.2018.06.006zbMath1415.65194OpenAlexW2807605564WikidataQ129723113 ScholiaQ129723113MaRDI QIDQ2425287

Diego Álvarez, Pedro Gonzalez-Rodriguez, Manuel Kindelan

Publication date: 26 June 2019

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.06.006

zbMATH Keywords

wave equationnumerical methodsRBF-FD

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Software, source code, etc. for problems pertaining to numerical analysis (65-04) Traveling wave solutions (35C07)

Related Items (1)

\(h\)-adaptive radial basis function finite difference method for linear elasticity problems

Cites Work

• Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
• Optimal variable shape parameter for multiquadric based RBF-FD method
• RBF-FD formulas and convergence properties
• Stabilization of RBF-generated finite difference methods for convective PDEs
• Optimal constant shape parameter for multiquadric based RBF-FD method
• Laurent expansion of the inverse of perturbed, singular matrices
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Laurent series based RBF-FD method to avoid ill-conditioning
• Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids
• Optimized finite difference formulas for accurate high frequency components
• A Primer on Radial Basis Functions with Applications to the Geosciences

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