Amparo Gil

Orcid: 0000-0002-7449-4205

According to our database1, Amparo Gil authored at least 58 papers between 2001 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments.
Numer. Algorithms, October, 2023

Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters.
Comput. Phys. Commun., 2023

2022
Computation of parabolic cylinder functions having complex argument.
CoRR, 2022

Complete asymptotic expansions for the relativistic Fermi-Dirac integral.
Appl. Math. Comput., 2022

2021
Computation of the reverse generalized Bessel polynomials and their zeros.
Comput. Math. Methods, November, 2021

Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature.
Numer. Algorithms, 2021

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). New version announcement.
Comput. Phys. Commun., 2021

Simulation of the Physiological Characteristics of Pillar and Modiolar Fibers of the Auditory Nerve.
Proceedings of the 43rd Annual International Conference of the IEEE Engineering in Medicine & Biology Society, 2021

2020
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis.
J. Comput. Appl. Math., 2020

A new asymptotic representation and inversion method for the Student's t distribution.
CoRR, 2020

Asymptotic inversion of the binomial and negative binomial cumulative distribution functions.
CoRR, 2020

2019
Noniterative Computation of Gauss-Jacobi Quadrature.
SIAM J. Sci. Comput., 2019

Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures.
Numerische Mathematik, 2019

On the computation and inversion of the cumulative noncentral beta distribution function.
Appl. Math. Comput., 2019

Simulation of the efficiency of inner hair cell secretion in the auditory pathway.
Proceedings of the 41st Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2019

2018
A new Fortran 90 program to compute regular and irregular associated Legendre functions (new version announcement).
Comput. Phys. Commun., 2018

Modeling the influence of co-localized intracellular calcium stores on the secretory response of bovine chromaffin cells.
Comput. Biol. Medicine, 2018

Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions.
Adv. Comput. Math., 2018

2017
Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument.
ACM Trans. Math. Softw., 2017

Efficient algorithms for the inversion of the cumulative central beta distribution.
Numer. Algorithms, 2017

Efficient computation of Laguerre polynomials.
Comput. Phys. Commun., 2017

Conical : An extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions.
Comput. Phys. Commun., 2017

2016
Computation of the incomplete gamma function for negative values of the argument.
CoRR, 2016

2015
Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders.
Numer. Algorithms, 2015

GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral).
Comput. Phys. Commun., 2015

Computing the Kummer function U(a, b, z) for small values of the arguments.
Appl. Math. Comput., 2015

2014
Algorithm 939: Computation of the Marcum Q-Function.
ACM Trans. Math. Softw., 2014

Recent software developments for special functions in the Santander-Amsterdam project.
Sci. Comput. Program., 2014

Preface to the special issue on Numerical Software: Design, Analysis and Verification.
Sci. Comput. Program., 2014

2013
Exocytotic dynamics in human chromaffin cells: experiments and modeling.
J. Comput. Neurosci., 2013

Computation of the Marcum Q-function.
CoRR, 2013

2012
Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios.
SIAM J. Sci. Comput., 2012

An improved algorithm and a Fortran 90 module for computing the conical function f<sup>m</sup><sub>-1/2+iτ</sub>(x).
Comput. Phys. Commun., 2012

Computing the real zeros of cylinder functions and the roots of the equation xC'<sub>v</sub>(x) + yC<sub>v</sub>(x).
Comput. Math. Appl., 2012

2011
Algorithm 914: Parabolic cylinder function <i>W</i>(<i>a</i>, <i>x</i>) and its derivative.
ACM Trans. Math. Softw., 2011

2010
Exocytotic dynamics and calcium cooperativity effects in the calyx of Held synapse: a modelling study.
J. Comput. Neurosci., 2010

A new Fortran 90 program to compute regular and irregular associated Legendre functions.
Comput. Phys. Commun., 2010

2009
Computing the Conical Function P<sup>µ</sup><sub>-1/2+iTau</sub>(x).
SIAM J. Sci. Comput., 2009

2007
Numerically satisfactory solutions of hypergeometric recursions.
Math. Comput., 2007

Numerical methods for special functions.
SIAM, ISBN: 978-0-89871-634-4, 2007

2006
Algorithm 850: Real parabolic cylinder functions <i>U</i>(<i>a</i>, <i>x</i>), <i>V</i>(<i>a</i>, <i>x</i>).
ACM Trans. Math. Softw., 2006

Computing the real parabolic cylinder functions <i>U</i>(<i>a</i>, <i>x</i>), <i>V</i>(<i>a</i>, <i>x</i>).
ACM Trans. Math. Softw., 2006

Computation of the Real Zeros of the Kummer Function <i>M</i>(<i>a</i>;<i>c</i>;<i>x</i>).
Proceedings of the Mathematical Software, 2006

2005
Calcium3D: A visual software package for the simulation of calcium buffered diffusion in neuroendocrine cells.
Comput. Methods Programs Biomed., 2005

2004
Algorithm 831: Modified Bessel functions of imaginary order and positive argument.
ACM Trans. Math. Softw., 2004

Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments.
ACM Trans. Math. Softw., 2004

Integral representations for computing real parabolic cylinder functions.
Numerische Mathematik, 2004

Computing the Real Zeros of Hypergeometric Functions.
Numer. Algorithms, 2004

New inequalities from classical Sturm theorems.
J. Approx. Theory, 2004

Algorithm xxx: Modified Bessel functions of imaginary order and positive argument
CoRR, 2004

2003
Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs.
SIAM J. Numer. Anal., 2003

Computing Special Functions by Using Quadrature Rules.
Numer. Algorithms, 2003

A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions.
J. Symb. Comput., 2003

On the zeros of the Scorer functions.
J. Approx. Theory, 2003

2002
Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions.
ACM Trans. Math. Softw., 2002

Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex airy functions.
ACM Trans. Math. Softw., 2002

Computing Complex Airy Functions by Numerical Quadrature.
Numer. Algorithms, 2002

2001
On nonoscillating integrals for computing inhomogeneous Airy functions.
Math. Comput., 2001


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