Compactly supported radial functions and the Strang-Fix condition

DOI10.1016/S0096-3003(96)00110-5zbMath0882.41007OpenAlexW2148745001MaRDI QIDQ1368918

Zong Min Wu

Publication date: 2 March 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00110-5

zbMATH Keywords

radial functions

Mathematics Subject Classification ID

Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (10)

Applying multiquadric quasi-interpolation to solve Burgers' equation ⋮ Convergence error estimate in solving free boundary diffusion problem by radial basis functions method. ⋮ Constructing radial kernels with higher-order generalized Strang-Fix conditions ⋮ Multiscale radial kernels with high-order generalized Strang-Fix conditions ⋮ Generator, multiquadric generator, quasi-interpolation and multiquadric quasi-interpolation ⋮ Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow ⋮ Generalized Strang-Fix condition for scattered data quasi-interpolation ⋮ Nyström subsampling method for coefficient-based regularized regression ⋮ Multivariate quasi-interpolation inL^p(ℝ^d) with radial basis functions for scattered data ⋮ Convexity and solvability for compactly supported radial basis functions with different shapes

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• A new version of the Strang--Fix conditions
• Construction techniques for highly accurate quasi-interpolation operators
• Error estimates and condition numbers for radial basis function interpolation
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Multivariate cardinal interpolation with radial-basis functions
• Stationary subdivision
• Local error estimates for radial basis function interpolation of scattered data
• Some absolutely monotonic functions
• Restart procedures for the conjugate gradient method
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