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Mathematical modeling of tumor-immune dynamics: stability, control, and synchronization via fractional calculus and numerical optimization. [PDF]
Sci RepAderyani SR +3 more
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Stability and chaos analysis of neurological disorder of complex network with fractional order comparative study. [PDF]
Sci RepFarman M +4 more
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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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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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Numerical Differentiation by High Order Interpolation
SIAM Journal on Scientific and Statistical Computing, 1987This paper deals with high order accurate approximation for functions and their derivatives by means of Chebyshev polynomial interpolations. The approximations outlined have applications for solving partial differential equations (the Burgers' equation) by pseudo-spectral methods. The approximation operators are proved to be bounded in the uniform norm.
Hoffman, Peter, Reddy, K. C.
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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 +2 more
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Numerical integration based on Laguerre–Gauss interpolation
Computer Methods in Applied Mechanics and Engineering, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Benyu, Wang, Zhongqing
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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
S. Meraji, H. Sarbazi-Azad
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Interpolation algorithms for numerical control
Computers in Industry, 1979Abstract In numerically controlled systems (machine tools, plotters, flamecutters, etc.), interpolation is defined as the process of synthesizing a prescribed curve from a large number of small orthogonal steps. This paper investigates the evolution of interpolation algorithms from the early days of numerical control to the present.
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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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