A multilevel univariate cubic spline quasi-interpolation and application to numerical integration

DOI10.1002/mma.1272zbMath1193.41008OpenAlexW2011107305MaRDI QIDQ3580171

Cai-Yun Li, Chun-Gang Zhu

Publication date: 11 August 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1272

zbMATH Keywords

multilevelnumerical integrationquasi-interpolationcubic spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15) Numerical integration (65D30)

Related Items (3)

Numerical integration based on a multilevel quartic quasi-interpolation operator ⋮ Multilevel quadratic spline quasi-interpolation ⋮ Multilevel quadratic spline integration

Cites Work

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• Near minimally normed spline quasi-interpolants on uniform partitions
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• Numerical solution of Burgers' equation by cubic B-spline quasi-interpolation
• Univariate multiquadric approximation: Quasi-interpolation to scattered data
• A univariate quasi-multiquadric interpolation with better smoothness
• Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
• Near-best quasi-interpolants associated with \(H\)-splines on a three-direction mesh
• Scattered Data Interpolation: Tests of Some Method

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