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ORCIDJavier Segura 0001
Person information
- affiliation: University of Cantabria, Department of Mathematics, Statistics and Computer Science, Santander, Spain
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Books and Theses
- 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
Journal Articles
- 2025
- [j62]Óscar López Pouso, Javier Segura:
Analysis of difference schemes for the Fokker-Planck angular diffusion operator. Comput. Math. Appl. 181: 84-110 (2025) - 2023
- [j61]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: 108563 (2023) - [j60]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): 669-679 (2023) - 2022
- [j59]Amparo Gil, Javier Segura, Nico M. Temme:
Complete asymptotic expansions for the relativistic Fermi-Dirac integral. Appl. Math. Comput. 412: 126618 (2022) - 2021
- [j58]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) - [j57]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: 108083 (2021) - [j56]Amparo Gil, Javier Segura, Nico M. Temme:
Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature. Numer. Algorithms 87(4): 1391-1419 (2021) - 2020
- [j55]Amparo Gil, Javier Segura, Nico M. Temme:
Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis. J. Comput. Appl. Math. 371: 112717 (2020) - 2019
- [j54]Amparo Gil, Javier Segura, Nico M. Temme:
On the computation and inversion of the cumulative noncentral beta distribution function. Appl. Math. Comput. 361: 74-86 (2019) - [j53]Amparo Gil, Javier Segura, Nico M. Temme:
Fast, reliable and unrestricted iterative computation of Gauss-Hermite and Gauss-Laguerre quadratures. Numerische Mathematik 143(3): 649-682 (2019) - [j52]Amparo Gil, Javier Segura, Nico M. Temme:
Noniterative Computation of Gauss-Jacobi Quadrature. SIAM J. Sci. Comput. 41(1): A668-A693 (2019) - 2018
- [j51]T. Mark Dunster, Amparo Gil, Javier Segura:
Uniform asymptotic expansions for Laguerre polynomials and related confluent hypergeometric functions. Adv. Comput. Math. 44(5): 1441-1474 (2018) - [j50]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: 165-175 (2018) - [j49]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: 192-193 (2018) - 2017
- [j48]Amparo Gil, Javier Segura, Nico M. Temme:
Efficient computation of Laguerre polynomials. Comput. Phys. Commun. 210: 124-131 (2017) - [j47]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: 193-197 (2017) - [j46]Javier Segura:
The Schwarzian-Newton method for solving nonlinear equations, with applications. Math. Comput. 86(304): 865-879 (2017) - [j45]Amparo Gil, Javier Segura, Nico M. Temme:
Efficient algorithms for the inversion of the cumulative central beta distribution. Numer. Algorithms 74(1): 77-91 (2017) - [j44]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): 26:1-26:9 (2017) - 2015
- [j43]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: 532-539 (2015) - [j42]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: 132-139 (2015) - [j41]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): 497-509 (2015) - 2014
- [j40]Javier Segura:
Monotonicity properties and bounds for the chi-square and gamma distributions. Appl. Math. Comput. 246: 399-415 (2014) - [j39]Amparo Gil, Jean-Michel Muller, Javier Segura:
Preface to the special issue on Numerical Software: Design, Analysis and Verification. Sci. Comput. Program. 90: 1 (2014) - [j38]Amparo Gil, Javier Segura, Nico M. Temme:
Recent software developments for special functions in the Santander-Amsterdam project. Sci. Comput. Program. 90: 42-54 (2014) - [j37]Amparo Gil, Javier Segura, Nico M. Temme:
Algorithm 939: Computation of the Marcum Q-Function. ACM Trans. Math. Softw. 40(3): 20:1-20:21 (2014) - 2013
- [j36]Javier Segura:
On bounds for monotonic first order differential systems and the Liouville-Green approximation. J. Approx. Theory 170: 107-115 (2013) - [j35]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): 27-37 (2013) - [j34]Javier Segura:
Computing the complex zeros of special functions. Numerische Mathematik 124(4): 723-752 (2013) - 2012
- [j33]Amparo Gil, Javier Segura:
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) - [j32]Amparo Gil, Javier Segura, Nico M. Temme:
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) - [j31]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) - 2011
- [j30]Amparo Gil, Javier Segura, Nico M. Temme:
Algorithm 914: Parabolic cylinder function W(a, x) and its derivative. ACM Trans. Math. Softw. 38(1): 6:1-6:5 (2011) - 2010
- [j29]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): 2091-2097 (2010) - [j28]Alfredo Deaño, Javier Segura, Nico M. Temme:
Computational properties of three-term recurrence relations for Kummer functions. J. Comput. Appl. Math. 233(6): 1505-1510 (2010) - [j27]Javier Segura:
Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method. SIAM J. Numer. Anal. 48(2): 452-469 (2010) - 2009
- [j26]Amparo Gil, Javier Segura, Nico M. Temme:
Computing the Conical Function Pµ-1/2+iTau(x). SIAM J. Sci. Comput. 31(3): 1716-1741 (2009) - 2008
- [j25]Alfredo Deaño, Javier Segura, Nico M. Temme:
Identifying minimal and dominant solutions for Kummer recursions. Math. Comput. 77(264): 2277-2293 (2008) - [j24]Javier Segura:
Interlacing of the zeros of contiguous hypergeometric functions. Numer. Algorithms 49(1-4): 387-407 (2008) - [j23]Javier Segura, Nico M. Temme:
Numerically satisfactory solutions of Kummer recurrence relations. Numerische Mathematik 111(1): 109-119 (2008) - 2007
- [j22]Alfredo Deaño, Javier Segura:
Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation. J. Approx. Theory 148(1): 92-110 (2007) - [j21]Alfredo Deaño, Javier Segura:
Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions. Math. Comput. 76(258): 879-901 (2007) - [j20]Amparo Gil, Javier Segura, Nico M. Temme:
Numerically satisfactory solutions of hypergeometric recursions. Math. Comput. 76(259): 1449-1468 (2007) - 2006
- [j19]Amparo Gil, Javier Segura, Nico M. Temme:
Computing the real parabolic cylinder functions U(a, x), V(a, x). ACM Trans. Math. Softw. 32(1): 70-101 (2006) - [j18]Amparo Gil, Javier Segura, Nico M. Temme:
Algorithm 850: Real parabolic cylinder functions U(a, x), V(a, x). ACM Trans. Math. Softw. 32(1): 102-112 (2006) - 2005
- [j17]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): 173-180 (2005) - 2004
- [j16]Alfredo Deaño, Amparo Gil, Javier Segura:
New inequalities from classical Sturm theorems. J. Approx. Theory 131(2): 208-230 (2004) - [j15]Amparo Gil, Wolfram Koepf, Javier Segura:
Computing the Real Zeros of Hypergeometric Functions. Numer. Algorithms 36(2): 113-134 (2004) - [j14]Amparo Gil, Javier Segura, Nico M. Temme:
Integral representations for computing real parabolic cylinder functions. Numerische Mathematik 98(1): 105-134 (2004) - [j13]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): 145-158 (2004) - [j12]Amparo Gil, Javier Segura, Nico M. Temme:
Algorithm 831: Modified Bessel functions of imaginary order and positive argument. ACM Trans. Math. Softw. 30(2): 159-164 (2004) - 2003
- [j11]Amparo Gil, Javier Segura, Nico M. Temme:
On the zeros of the Scorer functions. J. Approx. Theory 120(2): 253-266 (2003) - [j10]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): 465-485 (2003) - [j9]Amparo Gil, Javier Segura, Nico M. Temme:
Computing Special Functions by Using Quadrature Rules. Numer. Algorithms 33(1-4): 265-275 (2003) - [j8]Amparo Gil, Javier Segura:
Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs. SIAM J. Numer. Anal. 41(3): 827-855 (2003) - 2002
- [j7]Amparo Gil, Javier Segura, Nico M. Temme:
Computing Complex Airy Functions by Numerical Quadrature. Numer. Algorithms 30(1): 11-23 (2002) - [j6]Javier Segura:
The Zeros of Special Functions from a Fixed Point Method. SIAM J. Numer. Anal. 40(1): 114-133 (2002) - [j5]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): 325-336 (2002) - [j4]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): 436-447 (2002) - 2001
- [j3]Amparo Gil, Javier Segura, Nico M. Temme:
On nonoscillating integrals for computing inhomogeneous Airy functions. Math. Comput. 70(235): 1183-1194 (2001) - [j2]Javier Segura:
Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros. Math. Comput. 70(235): 1205-1220 (2001) - 1998
- [j1]Javier Segura:
A global Newton method for the zeros of cylinder functions. Numer. Algorithms 18(3-4): 259-276 (1998)
Conference and Workshop Papers
- 2023
- [c2]Amparo Gil, Diego Ruiz-Antolín, Javier Segura, Nico M. Temme:
Computation of the Confluent Hypergeometric Function M(a, b, x). NUMTA (2) 2023: 275-280 - 2006
- [c1]Alfredo Deaño, Amparo Gil, Javier Segura:
Computation of the Real Zeros of the Kummer Function M(a;c;x). ICMS 2006: 296-307
Informal and Other Publications
- 2024
- [i18]T. Mark Dunster, Amparo Gil, Diego Ruiz-Antolín, Javier Segura:
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane. CoRR abs/2412.13085 (2024) - 2023
- [i17]Óscar López Pouso, Javier Segura:
Uniform relations between the Gauss-Legendre nodes and weights. CoRR abs/2305.19128 (2023) - [i16]Óscar López Pouso, Javier Segura:
Analysis of difference schemes for the Fokker-Planck angular diffusion operator. CoRR abs/2308.08950 (2023) - 2022
- [i15]T. Mark Dunster, Amparo Gil, Javier Segura:
Computation of parabolic cylinder functions having complex argument. CoRR abs/2210.16982 (2022) - 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) - 2019
- [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) - 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
- [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
- [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
- [i2]Amparo Gil, Javier Segura, Nico M. Temme:
Computation of the Marcum Q-function. CoRR abs/1311.0681 (2013) - 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)
Coauthor Index
[b1] [j61] [j60] [j59] [j58] [j57] [j56] [j55] [j54] [j53] [j52] [j51] [j50] [j49] [j48] [j47] [j45] [j44] [j43] [j42] [j41] [j39] [j38] [j37] [j35] [j33] [j32] [j31] [j30] [j29] [j26] [j20] [j19] [j18] [j17] [j16] [j15] [j14] [j13] [j12] [j11] [j10] [j9] [j8] [j7] [j5] [j4] [j3] [c2] [c1] [i18] [i15] [i14] [i13] [i12] [i11] [i10] [i9] [i8] [i7] [i6] [i5] [i4] [i3] [i2] [i1]
[b1] [j61] [j60] [j59] [j57] [j56] [j55] [j54] [j53] [j52] [j48] [j47] [j45] [j44] [j43] [j42] [j41] [j38] [j37] [j32] [j31] [j30] [j28] [j26] [j25] [j23] [j20] [j19] [j18] [j14] [j13] [j12] [j11] [j9] [j7] [j5] [j4] [j3] [c2] [i14] [i13] [i12] [i11] [i10] [i9] [i8] [i7] [i6] [i5] [i4] [i3] [i2] [i1]
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