Results 31 to 35 of about 156 (35)

A Fast Algorithm for the Caputo Fractional Derivative

East Asian Journal on Applied Mathematics, 2018
A fast algorithm with almost optimal memory for the computation of Caputo’s fractional derivative is developed. It is based on a nonuniform splitting of the time interval [0, tn] and a polynomial approximation of the kernel function (1 − τ) −α.
Kun Huang
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Very simply explicitly invertible approximations of normal cumulative and normal quantile function

, 2014
For the normal cumulative distribution function: Φ(x) we give the new approximation 2**(-22**(1-41**(x/10))) for any x>0, which is very simple (with only integer constants and operations and / and power elevation **) and is very simply explicitly ...
A. Soranzo, E. Epure
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On asymptotic estimations of the q-pochhammer symbols at q=1

, 2013
Watson provided an asymptotic estimation of the Euler function (q; q)∞ when q → 1−. In this short note we reprove and extend his results using Gosper’s q-trigonometric functions.
I. Mező
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Summation Processes and Gaussian Quadratures

Sarajevo Journal of Mathematics
In this survey paper we present two classes of summation procedures based on ideas related to Gaussian quadratures. Such summation/integration procedures can be applied to the summation of slowly convergent series.
G. Milovanović
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