Multiquadric Prewavelets on Nonequally Spaced Knots in One Dimension

DOI10.2307/2153374zbMath0842.41009OpenAlexW1990696423MaRDI QIDQ4878515

Martin D. Buhmann

Publication date: 18 July 1996

Full work available at URL: https://doi.org/10.2307/2153374

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Spline approximation (41A15) Algorithms for approximation of functions (65D15) Approximation by other special function classes (41A30)

Related Items (9)

On the ill-conditioned nature of \(C^\infty\) RBF strong collocation ⋮ The uniqueness of a space of smooth splines and calibration relations ⋮ On wavelet decomposition of spaces of first order splines ⋮ A multiresolution prewavelet-based adaptive refinement scheme for RBF approximations of nearly singular problems ⋮ Embedding of non-polynomial spline spaces ⋮ Numerical solution to time-dependent 4D inviscid Burgers' equations ⋮ Minimal splines of Lagrange type ⋮ Calibration relations for \(B_\varphi\)-splines of fourth order ⋮ A not-a-knot meshless method using radial basis functions and predictor-corrector scheme to the numerical solution of improved Boussinesq equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spline prewavelets for non-uniform knots
• Using the refinement equation for the construction of pre-wavelets. III: Elliptic splines
• On the construction of multivariate (pre)wavelets
• On quasi-interpolation with radial basis functions
• Analytic wavelets generated by radial functions
• A Cardinal Spline Approach to Wavelets
• Discrete least squares approximation and prewavelets from radial function spaces

This page was built for publication: Multiquadric Prewavelets on Nonequally Spaced Knots in One Dimension