Results 61 to 70 of about 97 (76)

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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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
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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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High order multiquadric trigonometric quasi-interpolation method for solving time-dependent partial differential equations

Numerical Algorithms, 2022
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Zhengjie Sun, Yuyan Gao
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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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A conservative scheme for two-dimensional Schrödinger equation based on multiquadric trigonometric quasi-interpolation approach

Applied Mathematics and Computation, 2022
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Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective

Numerical Algorithms, 2017
The multiquadric trigonometric kernel was defined by \textit{W. Gao} and \textit{Z. Wu} [J. Comput. Appl. Math. 271, 20--30 (2014; Zbl 1326.65021)] as \(\phi(x)=\sqrt{c^2 + \sin^2 (x/2)}\), where \(c\) is a nonnegative shape parameter. The paper under review proposes a quasi-interpolation method for numerical differentiation of noisy data, based on the
Wenwu Gao, Ran Zhang
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