, 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
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Acceleration of generalized hypergeometric functions through precise remainder asymptotics
, 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
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Computing the Gamma function using contour integrals and rational approximations [PDF]
, 2005 Some of the best methods for computing the gamma function are based on numerical evaluation of Hankel's contour integral. For example, Temme evaluates this integral based on steepest-decent contours by the trapezoid rule.
Schmelzer, Thomas, Trefethen, Lloyd N.
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Bends in the plane with variable curvature [PDF]
, 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
, 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
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Truncation Error Analysis of Approximate Operators for a Moving Particle Semi-Implicit Method
, 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
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Wavelet Deformation Analysis for Spherical Bodies [PDF]
, 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
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A mathematical model for simulating the spread of a disease through a country divided into geographical regions with different population densities. [PDF]
J Math Biol, 2022 Harris PJ, Bodmann BEJ.
europepmc +1 more source
Effect of relevant factors on radiation-induced nasopharyngeal ulcer in patients with primary nasopharyngeal carcinoma treated with intensity-modulated radiation therapy. [PDF]
Laryngoscope Investig Otolaryngol, 2020 Fei Z, Chen T, Qiu X, Chen C.
europepmc +1 more source
Evaluation of Abramowitz functions in the right half of the complex plane. [PDF]
J Comput Phys, 2020 Gimbutas Z, Jiang S, Luo LS.
europepmc +1 more source