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Amparo Gil
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2020 – today
- 2023
- [j48]Amparo Gil
, Andrzej Odrzywolek
Evaluation of the generalized Fermi-Dirac integral and its derivatives for moderate/large values of the parameters. Comput. Phys. Commun. 283: 108563 (2023) - [j47]Amparo Gil
Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments. Numer. Algorithms 94(2): 669-679 (2023) - 2022
- [j46]Amparo Gil
Complete asymptotic expansions for the relativistic Fermi-Dirac integral. Appl. Math. Comput. 412: 126618 (2022) - [i15]T. Mark Dunster, Amparo Gil, Javier Segura:
Computation of parabolic cylinder functions having complex argument. CoRR abs/2210.16982 (2022) - 2021
- [j45]T. Mark Dunster, Amparo Gil
Computation of the reverse generalized Bessel polynomials and their zeros. Comput. Math. Methods 3(6) (2021) - [j44]Amparo Gil
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: 108083 (2021) - [j43]Amparo Gil
Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature. Numer. Algorithms 87(4): 1391-1419 (2021) - [c3]Virginia González-Vélez, Amparo Gil
Simulation of the Physiological Characteristics of Pillar and Modiolar Fibers of the Auditory Nerve. EMBC 2021: 4196-4199 - 2020
- [j42]Amparo Gil
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. J. Comput. Appl. Math. 371: 112717 (2020) - [i14]Amparo Gil, Javier Segura, Nico M. Temme:
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. CoRR abs/2001.02097 (2020) - [i13]Amparo Gil, Javier Segura, Nico M. Temme:
Asymptotic inversion of the binomial and negative binomial cumulative distribution functions. CoRR abs/2001.03953 (2020) - [i12]Amparo Gil, Javier Segura, Nico M. Temme:
Fast and reliable high accuracy computation of Gauss-Jacobi quadrature. CoRR abs/2008.08641 (2020) - [i11]Amparo Gil, Javier Segura, Nico M. Temme:
A new asymptotic representation and inversion method for the Student's t distribution. CoRR abs/2012.09789 (2020)
2010 – 2019
- 2019
- [j41]Amparo Gil
On the computation and inversion of the cumulative noncentral beta distribution function. Appl. Math. Comput. 361: 74-86 (2019) - [j40]Amparo Gil
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Numerische Mathematik 143(3): 649-682 (2019) - [j39]Amparo Gil
Noniterative Computation of Gauss-Jacobi Quadrature. SIAM J. Sci. Comput. 41(1): A668-A693 (2019) - [c2]Jessica Soto, Norma Castañeda-Villa
Simulation of the efficiency of inner hair cell secretion in the auditory pathway. EMBC 2019: 2332-2335 - [i10]Amparo Gil, Javier Segura, Nico M. Temme:
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. CoRR abs/1906.05414 (2019) - 2018
- [j38]T. Mark Dunster
Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions. Adv. Comput. Math. 44(5): 1441-1474 (2018) - [j37]Gerardo J. Félix-Martínez
Modeling the influence of co-localized intracellular calcium stores on the secretory response of bovine chromaffin cells. Comput. Biol. Medicine 100: 165-175 (2018) - [j36]Barry I. Schneider
A new Fortran 90 program to compute regular and irregular associated Legendre functions (new version announcement). Comput. Phys. Commun. 225: 192-193 (2018) - 2017
- [j35]Amparo Gil
Efficient computation of Laguerre polynomials. Comput. Phys. Commun. 210: 124-131 (2017) - [j34]T. Mark Dunster, Amparo Gil
Conical : An extended module for computing a numerically satisfactory pair of solutions of the differential equation for conical functions. Comput. Phys. Commun. 217: 193-197 (2017) - [j33]Amparo Gil
Efficient algorithms for the inversion of the cumulative central beta distribution. Numer. Algorithms 74(1): 77-91 (2017) - [j32]Amparo Gil
Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument. ACM Trans. Math. Softw. 43(3): 26:1-26:9 (2017) - [i9]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 abs/1704.01145 (2017) - 2016
- [i8]Amparo Gil, Javier Segura, Nico M. Temme:
Efficient algorithms for the inversion of the cumulative central beta distribution. CoRR abs/1605.03503 (2016) - [i7]Amparo Gil, Diego Ruiz-Antolín, Javier Segura, Nico M. Temme:
Computation of the incomplete gamma function for negative values of the argument. CoRR abs/1608.04152 (2016) - [i6]Amparo Gil, Javier Segura, Nico M. Temme:
Efficient computation of Laguerre polynomials. CoRR abs/1609.00829 (2016) - 2015
- [j31]Amparo Gil
Computing the Kummer function U(a, b, z) for small values of the arguments. Appl. Math. Comput. 271: 532-539 (2015) - [j30]Amparo Gil
GammaCHI: A package for the inversion and computation of the gamma and chi-square cumulative distribution functions (central and noncentral). Comput. Phys. Commun. 191: 132-139 (2015) - [j29]T. Mark Dunster, Amparo Gil
Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. Numer. Algorithms 68(3): 497-509 (2015) - [i5]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 abs/1501.01578 (2015) - 2014
- [j28]Amparo Gil
Preface to the special issue on Numerical Software: Design, Analysis and Verification. Sci. Comput. Program. 90: 1 (2014) - [j27]Amparo Gil
Recent software developments for special functions in the Santander-Amsterdam project. Sci. Comput. Program. 90: 42-54 (2014) - [j26]Amparo Gil
Algorithm 939: Computation of the Marcum Q-Function. ACM Trans. Math. Softw. 40(3): 20:1-20:21 (2014) - [i4]Amparo Gil, Javier Segura, Nico M. Temme:
Recent software developments for special functions in the Santander-Amsterdam project. CoRR abs/1403.1200 (2014) - [i3]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 abs/1403.7927 (2014) - 2013
- [j25]Almudena Albillos
Exocytotic dynamics in human chromaffin cells: experiments and modeling. J. Comput. Neurosci. 34(1): 27-37 (2013) - [i2]Amparo Gil, Javier Segura, Nico M. Temme:
Computation of the Marcum Q-function. CoRR abs/1311.0681 (2013) - 2012
- [j24]Amparo Gil
Computing the real zeros of cylinder functions and the roots of the equation xC'v(x) + yCv(x). Comput. Math. Appl. 64(1): 11-21 (2012) - [j23]Amparo Gil
An improved algorithm and a Fortran 90 module for computing the conical function fm-1/2+iτ(x). Comput. Phys. Commun. 183(3): 794-799 (2012) - [j22]Amparo Gil
Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios. SIAM J. Sci. Comput. 34(6) (2012) - 2011
- [j21]Amparo Gil
Algorithm 914: Parabolic cylinder function W(a, x) and its derivative. ACM Trans. Math. Softw. 38(1): 6:1-6:5 (2011) - 2010
- [j20]Barry I. Schneider
A new Fortran 90 program to compute regular and irregular associated Legendre functions. Comput. Phys. Commun. 181(12): 2091-2097 (2010) - [j19]Amparo Gil
Exocytotic dynamics and calcium cooperativity effects in the calyx of Held synapse: a modelling study. J. Comput. Neurosci. 28(1): 65-76 (2010)
2000 – 2009
- 2009
- [j18]Amparo Gil
Computing the Conical Function Pµ-1/2+iTau(x). SIAM J. Sci. Comput. 31(3): 1716-1741 (2009) - 2007
- [b1]Amparo Gil, Javier Segura, Nico M. Temme:
Numerical methods for special functions. SIAM 2007, ISBN 978-0-89871-634-4, pp. I-XVI, 1-417 - [j17]Amparo Gil
Numerically satisfactory solutions of hypergeometric recursions. Math. Comput. 76(259): 1449-1468 (2007) - 2006
- [j16]Amparo Gil
Computing the real parabolic cylinder functions U(a, x), V(a, x). ACM Trans. Math. Softw. 32(1): 70-101 (2006) - [j15]Amparo Gil
Algorithm 850: Real parabolic cylinder functions U(a, x), V(a, x). ACM Trans. Math. Softw. 32(1): 102-112 (2006) - [c1]Alfredo Deaño, Amparo Gil
Computation of the Real Zeros of the Kummer Function M(a;c;x). ICMS 2006: 296-307 - 2005
- [j14]Germán Carrera, Amparo Gil
Calcium3D: A visual software package for the simulation of calcium buffered diffusion in neuroendocrine cells. Comput. Methods Programs Biomed. 80(2): 173-180 (2005) - 2004
- [j13]Alfredo Deaño
New inequalities from classical Sturm theorems. J. Approx. Theory 131(2): 208-230 (2004) - [j12]Amparo Gil
Computing the Real Zeros of Hypergeometric Functions. Numer. Algorithms 36(2): 113-134 (2004) - [j11]Amparo Gil
Integral representations for computing real parabolic cylinder functions. Numerische Mathematik 98(1): 105-134 (2004) - [j10]Amparo Gil
Computing solutions of the modified Bessel differential equation for imaginary orders and positive arguments. ACM Trans. Math. Softw. 30(2): 145-158 (2004) - [j9]Amparo Gil
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. ACM Trans. Math. Softw. 30(2): 159-164 (2004) - [i1]Amparo Gil, Javier Segura, Nico M. Temme:
Algorithm xxx: Modified Bessel functions of imaginary order and positive argument. CoRR cs.MS/0401008 (2004) - 2003
- [j8]Amparo Gil
On the zeros of the Scorer functions. J. Approx. Theory 120(2): 253-266 (2003) - [j7]Amparo Gil
A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions. J. Symb. Comput. 35(5): 465-485 (2003) - [j6]Amparo Gil
Computing Special Functions by Using Quadrature Rules. Numer. Algorithms 33(1-4): 265-275 (2003) - [j5]Amparo Gil
Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs. SIAM J. Numer. Anal. 41(3): 827-855 (2003) - 2002
- [j4]Amparo Gil
Computing Complex Airy Functions by Numerical Quadrature. Numer. Algorithms 30(1): 11-23 (2002) - [j3]Amparo Gil
Algorithm 819: AIZ, BIZ: two Fortran 77 routines for the computation of complex airy functions. ACM Trans. Math. Softw. 28(3): 325-336 (2002) - [j2]Amparo Gil
Algorithm 822: GIZ, HIZ: two Fortran 77 routines for the computation of complex Scorer functions. ACM Trans. Math. Softw. 28(4): 436-447 (2002) - 2001
- [j1]Amparo Gil
On nonoscillating integrals for computing inhomogeneous Airy functions. Math. Comput. 70(235): 1183-1194 (2001)
Coauthor Index
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