Amparo Gil

Publication Activity (10 Years)

Years Active: 2001-2023
Publications (10 Years): 33

Top Topics

Achieving High Accuracy

Software Development

Top Venues

Comput. Phys. Commun.

Numer. Algorithms

Appl. Math. Comput.

Publications

Amparo Gil, Diego Ruiz-Antolín, Javier Segura, Nico M. Temme
Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments. Numer. Algorithms 94 (2) (2023)
Amparo Gil, Andrzej Odrzywolek, Javier Segura, Nico M. Temme
Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters. Comput. Phys. Commun. 283 (2023)
T. Mark Dunster, Amparo Gil, Javier Segura
Computation of parabolic cylinder functions having complex argument. CoRR (2022)
Amparo Gil, Javier Segura, Nico M. Temme
Complete asymptotic expansions for the relativistic Fermi-Dirac integral. Appl. Math. Comput. 412 (2022)
T. Mark Dunster, Amparo Gil, Diego Ruiz-Antolín, Javier Segura
Computation of the reverse generalized Bessel polynomials and their zeros. Comput. Math. Methods 3 (6) (2021)
Amparo Gil, Javier Segura, Nico M. Temme
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. 267 (2021)
Virginia González-Vélez, Amparo Gil, Norma Castañeda-Villa
Simulation of the Physiological Characteristics of Pillar and Modiolar Fibers of the Auditory Nerve. EMBC (2021)
Amparo Gil, Javier Segura, Nico M. Temme
Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature. Numer. Algorithms 87 (4) (2021)
Amparo Gil, Javier Segura, Nico M. Temme
Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. CoRR (2020)
Amparo Gil, Javier Segura, Nico M. Temme
Fast and reliable high accuracy computation of Gauss-Jacobi quadrature. CoRR (2020)
Amparo Gil, Javier Segura, Nico M. Temme
A new asymptotic representation and inversion method for the Student's t distribution. CoRR (2020)
Amparo Gil, Javier Segura, Nico M. Temme
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. J. Comput. Appl. Math. 371 (2020)
Amparo Gil, Javier Segura, Nico M. Temme
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. CoRR (2020)
Amparo Gil, Javier Segura, Nico M. Temme
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Numerische Mathematik 143 (3) (2019)
Amparo Gil, Javier Segura, Nico M. Temme
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. CoRR (2019)
Amparo Gil, Javier Segura, Nico M. Temme
Noniterative Computation of Gauss-Jacobi Quadrature. SIAM J. Sci. Comput. 41 (1) (2019)
Jessica Soto, Norma Castañeda-Villa, Amparo Gil, Virginia González-Vélez
Simulation of the efficiency of inner hair cell secretion in the auditory pathway. EMBC (2019)
Amparo Gil, Javier Segura, Nico M. Temme
On the computation and inversion of the cumulative noncentral beta distribution function. Appl. Math. Comput. 361 (2019)
Barry I. Schneider, Javier Segura, Amparo Gil, Xiaoxu Guan, Klaus Bartschat
A new Fortran 90 program to compute regular and irregular associated Legendre functions (new version announcement). Comput. Phys. Commun. 225 (2018)
T. Mark Dunster, Amparo Gil, Javier Segura
Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions. Adv. Comput. Math. 44 (5) (2018)
Gerardo J. Félix-Martínez, Amparo Gil, Javier Segura, José Villanueva, Luis M. Gutíerrez
Modeling the influence of co-localized intracellular calcium stores on the secretory response of bovine chromaffin cells. Comput. Biol. Medicine 100 (2018)
T. Mark Dunster, Amparo Gil, Javier Segura, Nico M. Temme
Conical: an extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions. CoRR (2017)
Amparo Gil, Javier Segura, Nico M. Temme
Efficient computation of Laguerre polynomials. Comput. Phys. Commun. 210 (2017)
Amparo Gil, Javier Segura, Nico M. Temme
Efficient algorithms for the inversion of the cumulative central beta distribution. Numer. Algorithms 74 (1) (2017)
Amparo Gil, Diego Ruiz-Antolín, Javier Segura, Nico M. Temme
Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument. ACM Trans. Math. Softw. 43 (3) (2017)
T. Mark Dunster, Amparo Gil, Javier Segura, Nico M. Temme
Conical : An extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions. Comput. Phys. Commun. 217 (2017)
Amparo Gil, Javier Segura, Nico M. Temme
Efficient algorithms for the inversion of the cumulative central beta distribution. CoRR (2016)
Amparo Gil, Javier Segura, Nico M. Temme
Efficient computation of Laguerre polynomials. CoRR (2016)
Amparo Gil, Diego Ruiz-Antolín, Javier Segura, Nico M. Temme
Computation of the incomplete gamma function for negative values of the argument. CoRR (2016)
Amparo Gil, Javier Segura, Nico M. Temme
GammaCHI: a package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). CoRR (2015)
Amparo Gil, Javier Segura, Nico M. Temme
Computing the Kummer function U(a, b, z) for small values of the arguments. Appl. Math. Comput. 271 (2015)
T. Mark Dunster, Amparo Gil, Javier Segura, Nico M. Temme
Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. Numer. Algorithms 68 (3) (2015)
Amparo Gil, Javier Segura, Nico M. Temme
GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Comput. Phys. Commun. 191 (2015)
Amparo Gil, Javier Segura, Nico M. Temme
Recent software developments for special functions in the Santander-Amsterdam project. Sci. Comput. Program. 90 (2014)
T. Mark Dunster, Amparo Gil, Javier Segura, Nico M. Temme
Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. CoRR (2014)
Amparo Gil, Javier Segura, Nico M. Temme
Recent software developments for special functions in the Santander-Amsterdam project. CoRR (2014)
Amparo Gil, Jean-Michel Muller, Javier Segura
Preface to the special issue on Numerical Software: Design, Analysis and Verification. Sci. Comput. Program. 90 (2014)
Amparo Gil, Javier Segura, Nico M. Temme
Algorithm 939: Computation of the Marcum Q-Function. ACM Trans. Math. Softw. 40 (3) (2014)
Amparo Gil, Javier Segura, Nico M. Temme
Computation of the Marcum Q-function. CoRR (2013)
Almudena Albillos, Amparo Gil, Virginia González-Vélez, Alberto Pérez-Álvarez, Javier Segura, Alicia Hernández-Vivanco, José Carlos Caba-González
Exocytotic dynamics in human chromaffin cells: experiments and modeling. J. Comput. Neurosci. 34 (1) (2013)
Amparo Gil, Javier Segura, Nico M. Temme
Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios. SIAM J. Sci. Comput. 34 (6) (2012)
Amparo Gil, Javier Segura
(x). Comput. Math. Appl. 64 (1) (2012)
Amparo Gil, Javier Segura, Nico M. Temme
(x). Comput. Phys. Commun. 183 (3) (2012)
Amparo Gil, Javier Segura, Nico M. Temme
) and its derivative. ACM Trans. Math. Softw. 38 (1) (2011)
Amparo Gil, Virginia González-Vélez
Exocytotic dynamics and calcium cooperativity effects in the calyx of Held synapse: a modelling study. J. Comput. Neurosci. 28 (1) (2010)
Barry I. Schneider, Javier Segura, Amparo Gil, Xiaoxu Guan, Klaus Bartschat
A new Fortran 90 program to compute regular and irregular associated Legendre functions. Comput. Phys. Commun. 181 (12) (2010)
Amparo Gil, Javier Segura, Nico M. Temme
(x). SIAM J. Sci. Comput. 31 (3) (2009)
Amparo Gil, Javier Segura, Nico M. Temme
Numerically satisfactory solutions of hypergeometric recursions. Math. Comput. 76 (259) (2007)
Amparo Gil, Javier Segura, Nico M. Temme
). ACM Trans. Math. Softw. 32 (1) (2006)
Amparo Gil, Javier Segura, Nico M. Temme
). ACM Trans. Math. Softw. 32 (1) (2006)
Alfredo Deaño, Amparo Gil, Javier Segura
). ICMS (2006)
Germán Carrera, Amparo Gil, Javier Segura
Calcium3D: A visual software package for the simulation of calcium buffered diffusion in neuroendocrine cells. Comput. Methods Programs Biomed. 80 (2) (2005)
Amparo Gil, Javier Segura, Nico M. Temme
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. ACM Trans. Math. Softw. 30 (2) (2004)
Amparo Gil, Javier Segura, Nico M. Temme
Algorithm xxx: Modified Bessel functions of imaginary order and positive argument CoRR (2004)
Alfredo Deaño, Amparo Gil, Javier Segura
New inequalities from classical Sturm theorems. J. Approx. Theory 131 (2) (2004)
Amparo Gil, Javier Segura, Nico M. Temme
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. ACM Trans. Math. Softw. 30 (2) (2004)
Amparo Gil, Wolfram Koepf, Javier Segura
Computing the Real Zeros of Hypergeometric Functions. Numer. Algorithms 36 (2) (2004)
Amparo Gil, Javier Segura, Nico M. Temme
Integral representations for computing real parabolic cylinder functions. Numerische Mathematik 98 (1) (2004)
Amparo Gil, Javier Segura, Nico M. Temme
Computing Special Functions by Using Quadrature Rules. Numer. Algorithms 33 (1-4) (2003)
Amparo Gil, Javier Segura
A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions. J. Symb. Comput. 35 (5) (2003)
Amparo Gil, Javier Segura
Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs. SIAM J. Numer. Anal. 41 (3) (2003)
Amparo Gil, Javier Segura, Nico M. Temme
On the zeros of the Scorer functions. J. Approx. Theory 120 (2) (2003)
Amparo Gil, Javier Segura, Nico M. Temme
Computing Complex Airy Functions by Numerical Quadrature. Numer. Algorithms 30 (1) (2002)
Amparo Gil, Javier Segura, Nico M. Temme
Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions. ACM Trans. Math. Softw. 28 (4) (2002)
Amparo Gil, Javier Segura, Nico M. Temme
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex airy functions. ACM Trans. Math. Softw. 28 (3) (2002)
Amparo Gil, Javier Segura, Nico M. Temme
On nonoscillating integrals for computing inhomogeneous Airy functions. Math. Comput. 70 (235) (2001)