Results 111 to 120 of about 1,247 (123)

Improved multiquadric approximation for partial differential equations

Engineering Analysis with Boundary Elements, 1996
Abstract Based on the idea of the DRM, a numerical method has been devised to interpolate the forcing term of partial differential equations by using multiquadric approximations, a special class of radial basis functions, and then use them to approximate particular solutions. To obtain a good shape parameter of the multiquadrics, we use the technique
M.A. Golberg, C.S. Chen, S.R. Karur
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Approximation of the objective function: multiquadrics versus neural networks

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 1999
Global optimization in electrical engineering using stochastic methods requires usually a large amount of CPU time to locate the optimum, if the objective function is calculated either with the finite element method (FEM) or the boundary element method (BEM).
ALOTTO, PIERGIORGIO, MAGELE C, BRANDSTATTER BR, LUSCHIN M, EBNER T.   +4 more
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Sampling and recovery using multiquadrics

2015 International Conference on Sampling Theory and Applications (SampTA), 2015
We survey recent results in the subject of interpolating bandlimited functions from their samples at both uniform and nonuniform sets via translates of a family of multiquadrics. Recovery of the original function is considered by means of a limiting process which changes a shape parameter associated with the multiquadric function.
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A Multiquadric Interpolation Method for Solving Initial Value Problems

Journal of Scientific Computing, 1997
The 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, 1976
A 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), 2016
Exhilarating 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, 2005
Abstract 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 Crank–Nicolson time-marching schemes for parabolic cases are considered.
A.J.M. Ferreira, P.A.L.S. Martins, C.M.C. Roque   +2 more
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Surface Reconstruction by the Multiquadric Function

2012 Fourth International Conference on Computational and Information Sciences, 2012
A 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

2010
In 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, 2004
Multiquadric (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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