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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
- 2023
- [j48]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) - [j47]Fei Gao, Shuaiqiang Liu, Cornelis W. Oosterlee, Nico M. Temme:
Evaluation of integrals with fractional Brownian motion for different Hurst indices. Int. J. Comput. Math. 100(4): 847-866 (2023) - [j46]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
- [j45]Amparo Gil, Javier Segura, Nico M. Temme:
Complete asymptotic expansions for the relativistic Fermi-Dirac integral. Appl. Math. Comput. 412: 126618 (2022) - [j44]Swaine L. Chen, Nico M. Temme:
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation. Math. Comput. 91(334): 871-885 (2022) - 2021
- [j43]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) - [j42]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
- [j41]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
- [j40]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) - [j39]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) - [j38]Amparo Gil, Javier Segura, Nico M. Temme:
Noniterative Computation of Gauss-Jacobi Quadrature. SIAM J. Sci. Comput. 41(1): A668-A693 (2019) - 2017
- [j37]Amparo Gil, Javier Segura, Nico M. Temme:
Efficient computation of Laguerre polynomials. Comput. Phys. Commun. 210: 124-131 (2017) - [j36]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) - [j35]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) - [j34]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
- [j33]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) - [j32]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) - [j31]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
- [j30]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) - [j29]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
- [j28]José L. López, Nico M. Temme:
New series expansions of the Gauss hypergeometric function. Adv. Comput. Math. 39(2): 349-365 (2013) - 2012
- [j27]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) - [j26]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
- [j25]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
- [j24]Alfredo Deaño, Nico M. Temme:
Analytical and numerical aspects of a generalization of the complementary error function. Appl. Math. Comput. 216(12): 3680-3693 (2010) - [j23]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) - [j22]José L. López, Nico M. Temme:
Asymptotics and numerics of polynomials used in Tricomi and Buchholz expansions of Kummer functions. Numerische Mathematik 116(2): 269-289 (2010) - 2009
- [j21]José L. López, Ester Pérez Sinusía, Nico M. Temme:
Multi-point Taylor approximations in one-dimensional linear boundary value problems. Appl. Math. Comput. 207(2): 519-527 (2009) - [j20]Nico M. Temme, Vladimir Varlamov:
Asymptotic expansions for Riesz fractional derivatives of Airy functions and applications. J. Comput. Appl. Math. 232(2): 201-215 (2009) - [j19]J. S. H. van Leeuwaarden, Nico M. Temme:
Asymptotic Inversion of the Erlang B Formula. SIAM J. Appl. Math. 70(1): 1-23 (2009) - [j18]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
- [j17]Alfredo Deaño, Javier Segura, Nico M. Temme:
Identifying minimal and dominant solutions for Kummer recursions. Math. Comput. 77(264): 2277-2293 (2008) - [j16]Javier Segura, Nico M. Temme:
Numerically satisfactory solutions of Kummer recurrence relations. Numerische Mathematik 111(1): 109-119 (2008) - 2007
- [j15]Xavier Brusset, Nico M. Temme:
Optimizing an objective function under a bivariate probability model. Eur. J. Oper. Res. 179(2): 444-458 (2007) - [j14]Amparo Gil, Javier Segura, Nico M. Temme:
Numerically satisfactory solutions of hypergeometric recursions. Math. Comput. 76(259): 1449-1468 (2007) - 2006
- [j13]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) - [j12]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) - 2004
- [j11]Amparo Gil, Javier Segura, Nico M. Temme:
Integral representations for computing real parabolic cylinder functions. Numerische Mathematik 98(1): 105-134 (2004) - [j10]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) - [j9]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
- [j8]Walter Gautschi, Frank E. Harris, Nico M. Temme:
Expansions of the exponential integral in incomplete gamma functions. Appl. Math. Lett. 16(7): 1095-1099 (2003) - [j7]Amparo Gil, Javier Segura, Nico M. Temme:
On the zeros of the Scorer functions. J. Approx. Theory 120(2): 253-266 (2003) - [j6]Amparo Gil, Javier Segura, Nico M. Temme:
Computing Special Functions by Using Quadrature Rules. Numer. Algorithms 33(1-4): 265-275 (2003) - 2002
- [j5]Amparo Gil, Javier Segura, Nico M. Temme:
Computing Complex Airy Functions by Numerical Quadrature. Numer. Algorithms 30(1): 11-23 (2002) - [j4]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) - [j3]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
- [j2]Amparo Gil, Javier Segura, Nico M. Temme:
On nonoscillating integrals for computing inhomogeneous Airy functions. Math. Comput. 70(235): 1183-1194 (2001) - 1997
- [j1]Nico M. Temme:
Numerical algorithms for uniform Airy-type asymptotic expansions. Numer. Algorithms 15(2): 207-225 (1997)
Parts in Books or Collections
- 2010
- [p4]Nico M. Temme:
Numerical methods. NIST Handbook of Mathematical Functions 2010: 71-102 - [p3]Nico M. Temme:
Exponential, logarithmic, sine and cosine integrals. NIST Handbook of Mathematical Functions 2010: 149-158 - [p2]Nico M. Temme:
Error functions, Dawson's and Fresnel integrals. NIST Handbook of Mathematical Functions 2010: 159-172 - [p1]Nico M. Temme:
Parabolic cylinder functions. NIST Handbook of Mathematical Functions 2010: 303-320
Informal and Other Publications
- 2022
- [i15]Fei Gao, Shuaiqiang Liu, Cornelis W. Oosterlee, Nico M. Temme:
Solution of integrals with fractional Brownian motion for different Hurst indices. CoRR abs/2203.02323 (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
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