scientific article; zbMATH DE number 7544124

DOI10.3770/j.issn:2095-2651.2022.03.010zbMath1499.65036MaRDI QIDQ5081926

Chun-Gang Zhu, Qinjiao Gao, Shenggang Zhang

Publication date: 17 June 2022

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

numerical solutionquasi-interpolationmultivariate splinepolynomial reproduction

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Numerical differentiation (65D25)

Cites Work

• Unnamed Item
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• Enhancing the approximation order of local Shepard operators by Hermite polynomials
• A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction
• An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order
• A kind of multiquadric quasi-interpolation operator satisfying any degree polynomial reproduction property to scattered data
• Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective
• Increasing the polynomial reproduction of a quasi-interpolation operator
• Multi-node higher order expansions of a function.
• Adaptive semi-discrete formulation of BSQI-WENO scheme for the modified Burgers' equation
• Multivariate quasi-interpolation schemes for dimension-splitting multiquadric
• Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
• A novel RBF collocation method using fictitious centres
• Pointwise and uniform approximation by multivariate neural network operators of the max-product type
• Point and differential \(C^1\) quasi-interpolation on three direction meshes
• Multivariate approximation by a combination of modified Taylor polynomials
• A robust spline difference method for Robin-type reaction-diffusion problem using grid equidistribution
• Multivariate Divided Differences with Simple Knots
• Optimality and Regularization Properties of Quasi-Interpolation: Deterministic and Stochastic Approaches
• A Multivariate Multiquadric Quasi-Interpolation with Quadric Reproduction
• High accuracy B-spline quasi-interpolants and applications in numerical analysis

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