A general spline differential quadrature method based on quasi-interpolation

DOI10.1016/j.cam.2014.02.006zbMath1334.65056OpenAlexW2063297360MaRDI QIDQ457771

J. Herrera, D. Rodríguez-Gómez

Publication date: 29 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.02.006

zbMATH Keywords

interpolationerror estimatesB-splinesdifferential quadrature methoddifferential quasi-interpolantsdiscrete quasi-interpolants

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical differentiation (65D25)

Related Items (11)

Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D ⋮ Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method ⋮ Generalized spline quasi-interpolants and applications to numerical analysis ⋮ A new efficient DQ algorithm for the solution of elliptic problems in higher dimensions ⋮ Nonlinear improvements of quasi-interpolanting splines to approximate piecewise smooth functions ⋮ Editorial: Recent trends on computational and mathematical methods in science and engineering (CMMSE) ⋮ On spline-based differential quadrature ⋮ Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective ⋮ Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant ⋮ High order approximations using spline-based differential quadrature method: implementation to the multi-dimensional PDEs ⋮ On the numerical solution of high order multi-dimensional elliptic PDEs

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