Results 1 to 10 of about 97 (76)

A novel parameterized multiquadric quasi-interpolation operator with its optimal parameters

Results in Applied Mathematics
The shape parameter c plays a crucial role in determining the accuracy and effectiveness of multiquadric quasi-interpolation algorithm. However, a few works discuss the shape parameter c in multiquadric quasi-interpolation operator.
Hualin Xiao, Dan Qu
doaj   +4 more sources

Bivariate High-Accuracy Hermite-Type Multiquadric Quasi-Interpolation Operators

Journal of Mathematics
In this paper, a kind of Hermite-type multiquadric quasi-interpolation operator is constructed by combining an extended univariate multiquadric quasi-interpolation operator with a bivariate Hermite interpolation polynomial.
Ruifeng Wu
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Abel–Goncharov Type Multiquadric Quasi-Interpolation Operators with Higher Approximation Order [PDF]

Journal of Mathematics, 2021
A kind of Abel–Goncharov type operators is surveyed. The presented method is studied by combining the known multiquadric quasi-interpolant with univariate Abel–Goncharov interpolation polynomials.
Ruifeng Wu
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A kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator with higher approximation order

Journal of Inequalities and Applications, 2023
In this paper, a kind of bivariate Bernoulli-type multiquadric quasi-interpolation operator is studied by combining the known multiquadric quasi-interpolation operator with the generalized Taylor polynomial as the expansion in the bivariate Bernoulli ...
Ruifeng Wu
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High accuracy multiquadric quasi-interpolation

Applied Mathematical Modelling, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Gang Zhu
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A multiquadric quasi-interpolation with linear reproducing and preserving monotonicity

Journal of Computational and Applied Mathematics, 2009
The authors develop a multiquadric quasi-interpolation which has the properties of linear reproducing and preserving monotonicity. Moreover, its approximation error is given by a theoretic analysis and illustrates the effect by means of two examples.
Zongmin Wu
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A Family of Modified Even Order Bernoulli-Type Multiquadric Quasi-Interpolants with Any Degree Polynomial Reproduction Property [PDF]

Journal of Applied Mathematics, 2014
By using the polynomial expansion in the even order Bernoulli polynomials and using the linear combinations of the shifts of the function f(x)(x∈ℝ) to approximate the derivatives of f(x), we propose a family of modified even order Bernoulli-type ...
Ruifeng Wu, Huilai Li, Tieru Wu
doaj   +4 more sources

Applying multiquadric quasi-interpolation for boundary detection

Computers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zongmin Wu
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A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction

Journal of Computational and Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruifeng Wu, Huilai Li
exaly   +3 more sources

Using adomian’s decomposition and multiquadric quasi-interpolation methods for solving Newell–Whitehead equation

Procedia Computer Science, 2011
AbstractIn this paper, we study numerical solution of the Newell–Whitehead equation (NWE) by using Adomian’s method (ADM) and Multiquadric quasi-interpolation method. ADM has been extensively used to solve linear and nonlinear problems arising many interesting physical and engineering applications.
Reza Ezzati
exaly   +2 more sources