Results 61 to 70 of about 111 (103)

Multiquadric quasi-interpolation for integral functionals

Mathematics and Computers in Simulation, 2020
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Gao, Wenwu, Zhang, Xia, Zhou, Xuan
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Univariate Lidstone-type multiquadric quasi-interpolants

Computational and Applied Mathematics, 2020
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Wu, Ruifeng, Li, Huilai, Wu, Tieru
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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
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Applying multiquadric quasi-interpolation to solve Burgers’ equation

Applied Mathematics and Computation, 2006
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Chen, Ronghua, Wu, Zongmin
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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 ...
Beatson, R. K., Powell, M. J. D.
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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
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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.
Chen, Ronghua, Wu, Zongmin
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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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