Periodized radial basis functions. I: Theory.

DOI10.1016/j.apnum.2014.07.003zbMath1297.65088OpenAlexW2061144293MaRDI QIDQ403585

Jianping Xiao, John P. Boyd

Publication date: 29 August 2014

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2014.07.003

zbMATH Keywords

convergenceradial basis functionstrigonometric interpolationspectral methodeigenfunctionMathieu functionsimbricate seriesJacobian theta functionMathieu eigenproblemPoisson summation theorem

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Computation of special functions and constants, construction of tables (65D20) Numerical methods for trigonometric approximation and interpolation (65T40) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items

On the radial basis function interpolation. I: Spectral analysis of the interpolation matrix and the related operators

Uses Software

• Matlab
• DLMF
• rbf_qr

Cites Work

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