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A Multiquadric Interpolation Method for Solving Initial Value Problems
Journal of Scientific Computing, 1997The authors propose a new interpolation method for the numerical solution of the initial value problem for an \(n\)th order linear ordinary differential equation. The method is based on the application of the multiquadric scheme for global interpolation of the solution and then on the collocation to obtain the equations for the unknown coefficients ...
Hon, Y. C., Mao, X. Z.
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GRAVITY TERRAIN CORRECTIONS USING MULTIQUADRIC EQUATIONS
GEOPHYSICS, 1976A digital computer method of making gravity station terrain corrections has been developed that uses a linear system of multiquadric equations. This system is fitted to the points defined by square topographic compartments and the point defined by the station itself to give a mathematically described surface.
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Energy efficient multiquadrant drive for induction motors
2016 International Conference on Computer Communication and Informatics (ICCCI), 2016Exhilarating advancements in power electronic technology have resulted in energy efficient methods in electric drives. This has paved the way for induction motors to be adopted for numerous industry applications replacing DC motors. Advantages of induction motors over DC motor like simpler construction, smaller motor size, lower maintenance, and better
null Neeraj N., Gopakumar Pathirikkat
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Solving time-dependent engineering problems with multiquadrics
Journal of Sound and Vibration, 2005Abstract This paper deals with the solution of time-dependent problems. The multiquadric radial basis function method is formulated, with a new approach for transient problems. One- and two-dimensional problems are considered. The forward difference and the CrankâNicolson time-marching schemes for parabolic cases are considered.
A.J.M. Ferreira +2 more
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Surface Reconstruction by the Multiquadric Function
2012 Fourth International Conference on Computational and Information Sciences, 2012A new experimental method was introduced in this paper, in which the Multiquadric function interpolation with scattered data points was used for surface reconstruction. Through the comparison of experiments and error analysis, we get the relative efficient proportion of interpolation nodes.
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Stable multiquadric approximation by local thinning
2010In this paper our concern is the recovery of a highly regular function by a discrete set $X$ of data with arbitrary distribution. We consider the case of a nonstationary multiquadric interpolant that presents numerical breakdown. Therefore we propose a global least squares multiquadric approximant with a center set $T$ of maximal size and obtained by a
M Bozzini, L Lenarduzzi
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Parameter optimization in multiquadric response surface approximations
Structural and Multidisciplinary Optimization, 2004Multiquadric (MQ) response surface approximation uses the function ?Ci|X-Xi|2+h1/2 to interpolate a given set of data. The performance of MQ approximation depends on the shift parameter h. Efficient methods of computing the optimal shift parameter based on the leave-one-out cross validation technique are presented in this paper. We also proved that the
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A stable technique for multiquadric approximation
2008Bozzini M., Lenarduzzi L.
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