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Convergence of Univariate Quasi-Interpolation Using Multiquadrics

IMA Journal of Numerical Analysis, 1988
Quasi-interpolants to a function f: \(R\to R\) on an infinite regular mesh of spacing h can be defined by \(s(x)=\sum^{\infty}_{j=- \infty}f(jh)\psi (x-jh),\) (x\(\in R)\), where \(\psi\) : \(R\to R\) is a function with fast decay for large argument. In the approach employing the radial-basis-function \(\phi\) : \(R\to R\), the function \(\phi\) is a ...
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Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations

Engineering Analysis with Boundary Elements, 2013
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Wu, Zongmin, Zhang, Shengliang
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A meshless multiquadric quasi-interpolation method for time fractional Black–Scholes model

International Journal of Financial Engineering, 2023
Based on multiquadric quasi-interpolation, this study presents a meshless numerical method for time fractional Black–Scholes (B–S) model. The method is highly accurate and flexible. The stability and convergence of the proposed scheme are discussed in detail. Numerical results show the accuracy and efficiency of the proposed method.
Gaoyongqi Pan, Shengliang Zhang
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Solving partial differential equation by using multiquadric quasi-interpolation

Applied Mathematics and Computation, 2007
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Chen, Ronghua, Wu, Zongmin
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Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method

Mathematical Sciences, 2022
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Mahbubeh Rahimi   +2 more
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A new multiquadric quasi‐interpolation operator with interpolation property

Mathematical Methods in the Applied Sciences, 2013
In this article, we discuss a class of multiquadric quasi‐interpolation operator that is primarily on the basis of Wu–Schaback's quasi‐interpolation operator and radial basis function interpolation. The proposed operator possesses the advantages of linear polynomial reproducing property, interpolation property, and high accuracy.
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Stability of multiquadric quasi-interpolation to approximate high order derivatives

Science China Mathematics, 2010
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Ma, LiMin, Wu, ZongMin
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Solving time-dependent differential equations by multiquadric trigonometric quasi-interpolation

Applied Mathematics and Computation, 2015
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Gao, Wenwu, Wu, Zongmin
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Multivariate quasi-interpolation schemes for dimension-splitting multiquadric

Applied Mathematics and Computation, 2005
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A multiquadric quasi-interpolations method for CEV option pricing model

Journal of Computational and Applied Mathematics, 2019
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Zhang, Shengliang   +2 more
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