Results 91 to 100 of about 854,539 (114)

Generator, multiquadric generator, quasi-interpolation and multiquadric quasi-interpolation

Applied Mathematics-A Journal of Chinese Universities, 2011
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Wu, Zongmin, Ma, Limin
openaire   +1 more source

A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction

Journal of Computational and Applied Mathematics, 2015
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Ruifeng Wu
exaly   +3 more sources

Solving time-dependent differential equations by multiquadric trigonometric quasi-interpolation

Applied Mathematics and Computation, 2015
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Wenwu Gao, Zongmin Wu
exaly   +4 more sources

Univariate multiquadric approximation: Quasi-interpolation to scattered data

Constructive Approximation, 1992
The authors study approximations \({\mathcal L}_ A f\), \({\mathcal L}_ B f\) and \({\mathcal L}_ C f\) to a function \(\{f(x)\), \(x_ 0\leq x\leq x_ N\}\) from the space that is spanned by the multiquadrics \(\{\varphi_ j\): \(j=0,1,\dots,N\}\), and by linear polynomials, where \(\varphi_ j(x)=[(x- x_ j)^ 2+c^ 2]^{1/2}\), \(x\in R\) and \(c\) is a ...
Michael J. D. Powell, R K Beatson
exaly   +2 more sources

Solving hyperbolic conservation laws using multiquadric quasi-interpolation†

Numerical Methods for Partial Differential Equations, 2006
\textit{R. L. Hardy} proposed a multiquadric (MQ) biharmonic method [Comput. Math. Appl. 19, No. 8/9, 163--208 (1990; Zbl 0692.65003)] for hyperbolic conservation laws; in the present article the authors propose a univariate MQ quasi-interpolation method to solve the hyperbolic equations.
Zongmin Wu
exaly   +2 more sources

A multiquadric quasi-interpolations method for CEV option pricing model

Journal of Computational and Applied Mathematics, 2019
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Shengliang Zhang, Hongqiang Yang, Yu Yang   +2 more
openaire   +1 more source

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 ...
openaire   +1 more source

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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Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method

Mathematical Sciences, 2022
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Mahbubeh Rahimi, Hojatollah Adibi, Majid Amirfakhrian   +2 more
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Multiquadric quasi‐interpolation methods for solving partial differential algebraic equations

Numerical Methods for Partial Differential Equations, 2013
AbstractIn this article, we propose two meshless collocation approaches for solving time dependent partial differential algebraic equations (PDAEs) in terms of the multiquadric quasi‐interpolation schemes. In presenting the process of the solution, the error is estimated.
Bao, Wendi, Song, Yongzhong
openaire   +1 more source