Order-preserving derivative approximation with periodic radial basis functions

DOI10.1007/s10444-014-9348-1zbMath1311.41002OpenAlexW2052177822MaRDI QIDQ2017600

Grady B. Wright, Edward J. Fuselier

Publication date: 23 March 2015

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://scholarworks.boisestate.edu/cgi/viewcontent.cgi?article=1150&context=math_facpubs

zbMATH Keywords

numerical differentiationsuperconvergencecircular basis functionsiterated splinesperiodic radial basis functions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Numerical differentiation (65D25) Approximation by other special function classes (41A30)

Related Items (12)

A high-order kernel method for diffusion and reaction-diffusion equations on surfaces ⋮ A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs ⋮ An iterated quasi-interpolation approach for derivative approximation ⋮ Constructing radial kernels with higher-order generalized Strang-Fix conditions ⋮ A Radial Basis Function (RBF) Compact Finite Difference (FD) Scheme for Reaction-Diffusion Equations on Surfaces ⋮ Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions ⋮ Gradient superconvergence for a class of semi-cardinal interpolation schemes with cubic and quintic B-splines ⋮ A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres ⋮ Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions ⋮ High-order numerical solution of time-dependent differential equations with quasi-interpolation ⋮ An energy-momentum conserving scheme for Hamiltonian wave equation based on multiquadric trigonometric quasi-interpolation ⋮ A POD-RBF-FD scheme for simulating chemotaxis models on surfaces

Uses Software

• Matlab

Cites Work

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