Fractal cubic multiquadric quasi-interpolation
Journal of Computational and Applied MathematicsD. Kumar, A.K.B. Chand, P.R. Massopust
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Rainfall forecasting using a simple advected cloud model with weather radar, satellite infra-red and surface weather observations: an initial appraisal under UK conditions [PDF]
, 1994 Bell, V.A. +2 more
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Efficient approximation algorithms. Part II: scattered data interpolation based on strip searching procedures [PDF]
, 2010 Alessandra De Rossi +3 more
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Multiquadric quasi-interpolation for integral functionals
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Univariate Lidstone-type multiquadric quasi-interpolants
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Univariate multiquadric approximation: Quasi-interpolation to scattered data
Constructive Approximation, 1992The 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, 2013AbstractIn 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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