Results 21 to 30 of about 142 (33)

Numerics and Fractals [PDF]

open access: yes, 2014
Local iterated function systems are an important generalisation of the standard (global) iterated function systems (IFSs). For a particular class of mappings, their fixed points are the graphs of local fractal functions and these functions themselves are
Barnsley, Michael F.   +2 more
core  

Numerical evaluation of two and three parameter Mittag-Leffler functions

open access: yes, 2015
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few methods are available for its numerical evaluation. In this work we present a method for the efficient computation of the ML function based on the numerical ...
Garrappa, Roberto
core   +2 more sources

Bends in the plane with variable curvature [PDF]

open access: yes, 2017
Explicit formulae for planar variable curvature bends are constructed using Euler’s method of natural equations. The bend paths are expressed in terms of special functions.
Peters, Frank H., Sheehan, Robert N.
core  

Acceleration of generalized hypergeometric functions through precise remainder asymptotics

open access: yes, 2011
We express the asymptotics of the remainders of the partial sums {s_n} of the generalized hypergeometric function q+1_F_q through an inverse power series z^n n^l \sum_k c_k/n^k, where the exponent l and the asymptotic coefficients {c_k} may be ...
A Sidi   +62 more
core   +1 more source

Algorithms for Evaluation of the Wright Function for the Real Arguments’ Values [PDF]

open access: yes, 2008
2000 Math. Subject Classification: 33E12, 65D20, 33F05, 30E15The paper deals with analysis of several techniques and methods for the numerical evaluation of the Wright function.
Luchko, Yury
core  

An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order

open access: yes, 2017
We describe a method for the numerical evaluation of normalized versions of the associated Legendre functions $P_\nu^{-\mu}$ and $Q_\nu^{-\mu}$ of degrees $0 \leq \nu \leq 1,000,000$ and orders $-\nu \leq \mu \leq \nu$ on the interval $(-1,1)$.
Bremer, James
core   +1 more source

Truncation Error Analysis of Approximate Operators for a Moving Particle Semi-Implicit Method

open access: yes, 2019
This paper considers several approximate operators used in a particle method based on a Voronoi diagram. Under some assumptions on a weight function, we derive truncation error estimates for our approximate gradient and Laplace operators.
Koba, Hajime, Sato, Kazuki
core  

Wavelet Deformation Analysis for Spherical Bodies [PDF]

open access: yes, 2004
In this paper we introduce a multiscale technique for the analysis of deformation phenomena of the Earth. Classically, the basis functions under use are globally defined and show polynomial character.
Freeden, Willi, Michel, Volker
core  

Monotone and fast computation of Euler's constant. [PDF]

open access: yesJ Inequal Appl, 2017
Adell JA, Lekuona A.
europepmc   +1 more source

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