A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid

DOI10.1134/S0965542517100128zbMath1383.65015OpenAlexW2766563098MaRDI QIDQ1702618

Z. M. Sulaimanov, B. M. Shumilov

Publication date: 28 February 2018

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517100128

zbMATH Keywords

predictionwaveletsnumerical examplemultiresolution analysisnumerical differentiationcubic splinesnonuniform measurementsexpansion and reconstruction relationsorthogonality to second-order derivatives

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical methods for wavelets (65T60) Numerical differentiation (65D25)

Related Items (1)

Splitting algorithm for cubic spline-wavelets with two vanishing moments on the interval

Uses Software

• Algorithm 929

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cubic spline wavelets with short support for fourth-order problems
• Splitting algorithms for the wavelet transform of first-degree splines on nonuniform grids
• Construction of optimally conditioned cubic spline wavelets on the interval
• Stable, linear spline wavelets on nonuniform knots with vanishing moments
• A practical guide to splines
• Spline approximate schemes that are exact for polynomials
• Spline approximation by quasiinterpolants
• Cubic spline wavelet bases of Sobolev spaces and multilevel interpolation
• Cubic spline wavelets with complementary boundary conditions
• Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids
• Riesz bases of wavelets and applications to numerical solutions of elliptic equations
• Algorithm 929
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Adaptive Multiresolution Collocation Methods for Initial-Boundary Value Problems of Nonlinear PDE<scp>s</scp>
• CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS
• Non-orthogonal spline wavelets for boundary element analysis

This page was built for publication: A splitting algorithm for the wavelet transform of cubic splines on a nonuniform grid