Results 211 to 220 of about 30,694 (259)
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Interpolation in Numerical Optimization
AIAA Journal, 1975The present work discusses the generation of the cubic-spline interpolator in numerical optimization methods which use a variable-step integrator with step size control based on local relative truncation error. An algorithm for generating the cubic spline with successive over-relaxation is presented which represents an improvement over that given by ...
KENNETH R. HALL, DAVID G. HULL
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Parallel Numerical Interpolation on Necklace Hypercubes
First Asia International Conference on Modelling & Simulation (AMS'07), 2007The necklace hypercube has been recently proposed as an attractive topology for multicomputers and was shown to have many desirable properties such as well-scalability and suitability for VLSI implementation. This paper introduces a parallel algorithm for computing an N-point Lagrange interpolation on a necklace hypercube multiprocessor. This algorithm
Sina Meraji, Hamid Sarbazi-Azad
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Teaching interpolation techniques with a numerical tool
International Journal of Knowledge and Learning, 2008Progress in computer programming suggests that teaching can be accompanied by numerical tools which can improve the attitudes of students towards mathematics. In this paper, a software tool for teaching numerical analysis is presented. It concerns the interpolation techniques that were suggested by Ghelardoni et al. (1995).
Tiziana Durante +2 more
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Efficient SIMD Numerical Interpolation
2005This paper reports the results of SIMD implementation of a number of interpolation algorithms on common personal computers. These methods fit a curve on some given input points for which a mathematical function form is not known. We have implemented four widely used methods using vector processing capabilities embedded in Pentium processors.
Hossein Ahmadi 0001 +2 more
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Exponential interpolation: theory and numerical algorithms
Applied Mathematics and Computation, 1991The authors consider the problem of exponential interpolation. It is shown that in some cases it can be solved with effective numerical procedures. Also it is shown that this problem is closely related to Gaussian quadrature and to the problems of partial realization in linear control theory.
Ammar, G., Dayawansa, W., Martin, C.
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Interpolator for a Computer Numerical Control System
IEEE Transactions on Computers, 1976A software interpolator which is comprised of linear and circular interpolations is compared with its hardware counterpart and with other circular interpolation methods. The software interpolator and the feed-rate control are contained in the numerical control (NC) program of a computer numerical control (CNC) system and enable a contouring control of ...
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On the numerical stability of Newton’s formula for Lagrange interpolation
Journal of Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Numerically optimal Runge–Kutta pairs with interpolants
Numerical Algorithms, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the numerical stability of Floater-Hormann’s rational interpolant
Numerical Algorithms, 2015Rational approximants and interpolants are of essential importance to applications of approximation theory. In this article, theory of and algorithms for the calculation of Lagrange formulations of the rational interpolants by \textit{M. S. Floater} and \textit{K. Hormann} [Numer. Math. 107, No. 2, 315--331 (2007; Zbl 1221.41002)] are considered.
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Numerical Differentiation, Quadrature and Interpolation
2004A series of ef formulae tuned on functions of the form (3.38) or (3.39) are derived here by the procedure described in the previous chapter. We construct the ef coefficients for approximations of the first and the second derivative of y(x), for a set of quadrature rules, and for some simple interpolation formulae.
Liviu Gr. Ixaru, Guido Vanden Berghe
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