Denich, Eleonora; Dolce, Laura Grazia; Novati, Paolo A Gauss-Laguerre approach for the resolvent of fractional powers. (English) Zbl 07799502 ETNA, Electron. Trans. Numer. Anal. 58, 517-537 (2023). MSC: 47A58 65F60 65D32 PDFBibTeX XMLCite \textit{E. Denich} et al., ETNA, Electron. Trans. Numer. Anal. 58, 517--537 (2023; Zbl 07799502) Full Text: DOI arXiv Link
Djukić, Dušan Lj; Fermo, Luisa; Djukić, Rada M. Mutavdžić Averaged cubature schemes on the real positive semiaxis. (English) Zbl 1506.65048 Numer. Algorithms 92, No. 1, 545-569 (2023). MSC: 65D30 65D32 PDFBibTeX XMLCite \textit{D. L. Djukić} et al., Numer. Algorithms 92, No. 1, 545--569 (2023; Zbl 1506.65048) Full Text: DOI
Wu, Qinghua; Sun, Mengjun Efficient algorithms for integrals with highly oscillatory Hankel kernels. (English) Zbl 1493.65057 Results Appl. Math. 14, Article ID 100254, 8 p. (2022). MSC: 65D32 65D30 PDFBibTeX XMLCite \textit{Q. Wu} and \textit{M. Sun}, Results Appl. Math. 14, Article ID 100254, 8 p. (2022; Zbl 1493.65057) Full Text: DOI
Aceto, Lidia; Novati, Paolo Fast and accurate approximations to fractional powers of operators. (English) Zbl 1514.65025 IMA J. Numer. Anal. 42, No. 2, 1598-1622 (2022). MSC: 65D30 65D32 65R10 PDFBibTeX XMLCite \textit{L. Aceto} and \textit{P. Novati}, IMA J. Numer. Anal. 42, No. 2, 1598--1622 (2022; Zbl 1514.65025) Full Text: DOI arXiv
Zaman, Sakhi; Siraj-ul-Islam; Khan, Muhammad Munib; Ahmad, Imtiaz New algorithms for approximation of Bessel transforms with high frequency parameter. (English) Zbl 1481.65045 J. Comput. Appl. Math. 399, Article ID 113705, 14 p. (2022). MSC: 65D32 PDFBibTeX XMLCite \textit{S. Zaman} et al., J. Comput. Appl. Math. 399, Article ID 113705, 14 p. (2022; Zbl 1481.65045) Full Text: DOI
Kurtoǧlu, Dilan Kılıç; Hasçelik, A. Ihsan; Milovanović, Gradimir V. A method for efficient computation of integrals with oscillatory and singular integrand. (English) Zbl 1456.65017 Numer. Algorithms 85, No. 4, 1155-1173 (2020). MSC: 65D30 65D32 26B20 PDFBibTeX XMLCite \textit{D. K. Kurtoǧlu} et al., Numer. Algorithms 85, No. 4, 1155--1173 (2020; Zbl 1456.65017) Full Text: DOI
Li, Bin; Xiang, Shuhuang Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels. (English) Zbl 1433.65034 Appl. Math. Comput. 362, Article ID 124499, 14 p. (2019). MSC: 65D32 41A55 65D30 PDFBibTeX XMLCite \textit{B. Li} and \textit{S. Xiang}, Appl. Math. Comput. 362, Article ID 124499, 14 p. (2019; Zbl 1433.65034) Full Text: DOI
Zaman, Sakhi; Siraj-ul-Islam On numerical evaluation of integrals involving oscillatory Bessel and Hankel functions. (English) Zbl 1477.65055 Numer. Algorithms 82, No. 4, 1325-1343 (2019). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{S. Zaman} and \textit{Siraj-ul-Islam}, Numer. Algorithms 82, No. 4, 1325--1343 (2019; Zbl 1477.65055) Full Text: DOI
Patra, Pritikanta; Das, Debasish; Dash, Rajani Ballav A comparative study of Gauss-Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals. (English) Zbl 1424.65019 Turk. J. Math. 42, No. 1, 293-306 (2018). MSC: 65D30 65D32 PDFBibTeX XMLCite \textit{P. Patra} et al., Turk. J. Math. 42, No. 1, 293--306 (2018; Zbl 1424.65019) Full Text: DOI
Masjed-Jamei, Mohammad; Area, Iván A note on weighted quadrature rules. (English) Zbl 1386.65097 Math. Methods Appl. Sci. 40, No. 17, 6103-6113 (2017). MSC: 65D32 33C45 42C05 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{I. Area}, Math. Methods Appl. Sci. 40, No. 17, 6103--6113 (2017; Zbl 1386.65097) Full Text: DOI
Fang, Chunhua Efficient methods for highly oscillatory integrals with weak and Cauchy singularities. (English) Zbl 1358.65074 Int. J. Comput. Math. 93, No. 9, 1597-1610 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65R10 65D32 65T50 PDFBibTeX XMLCite \textit{C. Fang}, Int. J. Comput. Math. 93, No. 9, 1597--1610 (2016; Zbl 1358.65074) Full Text: DOI
Conte, Dajana; Paternoster, Beatrice Modified Gauss-Laguerre exponential fitting based formulae. (English) Zbl 1349.65098 J. Sci. Comput. 69, No. 1, 227-243 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. Conte} and \textit{B. Paternoster}, J. Sci. Comput. 69, No. 1, 227--243 (2016; Zbl 1349.65098) Full Text: DOI
Zhou, Yongpan Value integrals of highly oscillatory functions based on the evaluation of Cauchy principal. (Chinese. English summary) Zbl 1363.65038 J. Hubei Univ., Nat. Sci. 38, No. 3, 267-270 (2016). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{Y. Zhou}, J. Hubei Univ., Nat. Sci. 38, No. 3, 267--270 (2016; Zbl 1363.65038) Full Text: DOI
Xu, Zhenhua; Milovanović, Gradimir V.; Xiang, Shuhuang Efficient computation of highly oscillatory integrals with Hankel kernel. (English) Zbl 1410.65074 Appl. Math. Comput. 261, 312-322 (2015). MSC: 65D30 65D32 PDFBibTeX XMLCite \textit{Z. Xu} et al., Appl. Math. Comput. 261, 312--322 (2015; Zbl 1410.65074) Full Text: DOI
Xu, Zhenhua; Xiang, Shuhuang; He, Guo Efficient evaluation of oscillatory Bessel Hilbert transforms. (English) Zbl 1294.65110 J. Comput. Appl. Math. 258, 57-66 (2014). MSC: 65R10 44A15 65D32 PDFBibTeX XMLCite \textit{Z. Xu} et al., J. Comput. Appl. Math. 258, 57--66 (2014; Zbl 1294.65110) Full Text: DOI
Xiang, Shuhuang Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature. (English) Zbl 1259.65058 J. Math. Anal. Appl. 393, No. 2, 434-444 (2012). Reviewer: Daniela Roşca (Cluj-Napoca) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{S. Xiang}, J. Math. Anal. Appl. 393, No. 2, 434--444 (2012; Zbl 1259.65058) Full Text: DOI
Babolian, E.; Hajikandi, A. Arzhang Numerical computation of the Riemann zeta function and prime counting function by using Gauss-Hermite and Gauss-Laguerre quadratures. (English) Zbl 1206.11103 Int. J. Comput. Math. 87, No. 15, 3420-3429 (2010). MSC: 11M06 65D30 65D32 65D20 PDFBibTeX XMLCite \textit{E. Babolian} and \textit{A. A. Hajikandi}, Int. J. Comput. Math. 87, No. 15, 3420--3429 (2010; Zbl 1206.11103) Full Text: DOI
Kang, Hongchao; Xiang, Shuhuang On the calculation of highly oscillatory integrals with an algebraic singularity. (English) Zbl 1209.65030 Appl. Math. Comput. 217, No. 8, 3890-3897 (2010). Reviewer: Manuel Gräf (Chemnitz) MSC: 65D32 41A55 65T40 42A16 PDFBibTeX XMLCite \textit{H. Kang} and \textit{S. Xiang}, Appl. Math. Comput. 217, No. 8, 3890--3897 (2010; Zbl 1209.65030) Full Text: DOI
Li, Jianbing; Wang, Xuesong; Wang, Tao Evaluation of Cauchy principal value integrals of oscillatory kind. (English) Zbl 1202.65035 Appl. Math. Comput. 217, No. 6, 2390-2396 (2010). MSC: 65D32 30E20 65T40 41A55 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Math. Comput. 217, No. 6, 2390--2396 (2010; Zbl 1202.65035) Full Text: DOI
Asheim, Andreas; Huybrechs, Daan Asymptotic analysis of numerical steepest descent with path approximations. (English) Zbl 1203.65053 Found. Comput. Math. 10, No. 6, 647-671 (2010). Reviewer: Denis Sidorov (Irkutsk) MSC: 65D32 41A55 65T40 42A16 PDFBibTeX XMLCite \textit{A. Asheim} and \textit{D. Huybrechs}, Found. Comput. Math. 10, No. 6, 647--671 (2010; Zbl 1203.65053) Full Text: DOI
Wang, Haiyong; Xiang, Shuhuang On the evaluation of Cauchy principal value integrals of oscillatory functions. (English) Zbl 1190.65043 J. Comput. Appl. Math. 234, No. 1, 95-100 (2010). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 41A55 42A16 65T40 PDFBibTeX XMLCite \textit{H. Wang} and \textit{S. Xiang}, J. Comput. Appl. Math. 234, No. 1, 95--100 (2010; Zbl 1190.65043) Full Text: DOI
Mastroianni, G.; Monegato, G. Erratum to “Some new applications of truncated Gauss-Laguerre quadrature formulas”. (English) Zbl 1186.65032 Numer. Algorithms 52, No. 3, 507 (2009). Reviewer: Jesus Illán González (Vigo) MSC: 65D32 65R20 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{G. Monegato}, Numer. Algorithms 52, No. 3, 507 (2009; Zbl 1186.65032) Full Text: DOI
Xu, Bao-qing; Tian, De; Li, Quan-hu; Zhao, Dan-ping Solving the mathematical expectation of wind velocity with methods of Gauss-Laguerre integral formula. (Chinese. English summary) Zbl 1160.86306 J. Inn. Mong. Univ. 39, No. 3, 337-341 (2008). MSC: 86A10 65D32 62N02 PDFBibTeX XMLCite \textit{B.-q. Xu} et al., J. Inn. Mong. Univ. 39, No. 3, 337--341 (2008; Zbl 1160.86306)
Mastroianni, G.; Monegato, G. Some new applications of truncated Gauss-Laguerre quadrature formulas. (English) Zbl 1181.65044 Numer. Algorithms 49, No. 1-4, 283-297 (2008). Reviewer: Jesus Illán González (Vigo) MSC: 65D32 65R20 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{G. Monegato}, Numer. Algorithms 49, No. 1--4, 283--297 (2008; Zbl 1181.65044) Full Text: DOI
Capobianco, M. R.; Criscuolo, G. Some remarks on the numerical computation of integrals on an unbounded interval. (English) Zbl 1131.65026 Numer. Algorithms 45, No. 1-4, 37-48 (2007). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{M. R. Capobianco} and \textit{G. Criscuolo}, Numer. Algorithms 45, No. 1--4, 37--48 (2007; Zbl 1131.65026) Full Text: DOI
Evans, G. A. Some new thoughts on Gauss-Laguerre quadrature. (English) Zbl 1072.65031 Int. J. Comput. Math. 82, No. 6, 721-730 (2005). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{G. A. Evans}, Int. J. Comput. Math. 82, No. 6, 721--730 (2005; Zbl 1072.65031) Full Text: DOI
Mastroianni, G.; Monegato, G. Truncated quadrature rules over \((0,\infty)\) and Nyström-type methods. (English) Zbl 1056.65022 SIAM J. Numer. Anal. 41, No. 5, 1870-1892 (2003). Reviewer: Iulian Coroian (Baia Mare) MSC: 65D32 41A55 45E10 65R20 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{G. Monegato}, SIAM J. Numer. Anal. 41, No. 5, 1870--1892 (2003; Zbl 1056.65022) Full Text: DOI
Guessab, Allal On a new family of Gaussian quadrature formulae of Birkhoff type and some lumped mass spectral approximations. II: Generalized Laguerre case on semi-infinite domains. (English) Zbl 1021.65011 Int. J. Pure Appl. Math. 3, No. 2, 193-239 (2002). MSC: 65D32 41A55 65N35 65L60 35J05 34A30 PDFBibTeX XMLCite \textit{A. Guessab}, Int. J. Pure Appl. Math. 3, No. 2, 193--239 (2002; Zbl 1021.65011)
Ehrich, Sven On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas. (English) Zbl 1002.41014 J. Comput. Appl. Math. 140, No. 1-2, 291-299 (2002). Reviewer: Boris I.Golubov (Dolgoprudny) MSC: 41A55 PDFBibTeX XMLCite \textit{S. Ehrich}, J. Comput. Appl. Math. 140, No. 1--2, 291--299 (2002; Zbl 1002.41014) Full Text: DOI
Mastroianni, G.; Monegato, G. Truncated Gauss-Laguerre quadrature rules. (English) Zbl 1019.65022 Trigiante, Donato (ed.), Recent trends in numerical analysis. Dedicated to the 65th birthday of Professor I. Galligani. Huntington, NY: Nova Science Publishers. Adv. Theory Comput. Comput. Math. 3, 213-221 (2001). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{G. Monegato}, Adv. Theory Comput. Comput. Math. 3, 213--221 (2001; Zbl 1019.65022)
Kzaz, M. Convergence acceleration of the Gauss-Laguerre quadrature formula. (English) Zbl 0929.65008 Appl. Numer. Math. 29, No. 2, 201-220 (1999). Reviewer: R.Wegmann (Garching) MSC: 65D32 41A55 65B05 PDFBibTeX XMLCite \textit{M. Kzaz}, Appl. Numer. Math. 29, No. 2, 201--220 (1999; Zbl 0929.65008) Full Text: DOI
Mastroianni, G.; Monegato, G. Convergence of product integration rules over \((0,\infty )\) for functions with weak singularities at the origin. (English) Zbl 0820.65006 Math. Comput. 64, No. 209, 237-249 (1995). Reviewer: M.Gaşpar (Iaşi) MSC: 65D32 41A55 41A80 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{G. Monegato}, Math. Comput. 64, No. 209, 237--249 (1995; Zbl 0820.65006) Full Text: DOI Link
He, Keming Gauss-Laguerre quadrature formula with coincident knots. (Chinese. English summary) Zbl 0887.65025 J. Hangzhou Univ., Nat. Sci. Ed. 22, No. 1, 7-12 (1995). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{K. He}, J. Hangzhou Univ., Nat. Sci. Ed. 22, No. 1, 7--12 (1995; Zbl 0887.65025)
Patterson, T. N. L. Modified optimal quadrature extensions. (English) Zbl 0801.65016 Numer. Math. 64, No. 4, 511-520 (1993). Reviewer: G.Hämmerlin (München) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{T. N. L. Patterson}, Numer. Math. 64, No. 4, 511--520 (1993; Zbl 0801.65016) Full Text: DOI EuDML
Feuillebois, F. Numerical calculation of singular integrals related to Hankel transform. (English) Zbl 0718.65010 Comput. Math. Appl. 21, No. 2-3, 87-94 (1991). Reviewer: W.Moldenhauer (Erfurt) MSC: 65D20 65D32 65R10 33E30 PDFBibTeX XMLCite \textit{F. Feuillebois}, Comput. Math. Appl. 21, No. 2--3, 87--94 (1991; Zbl 0718.65010) Full Text: DOI
Saad, Youcef Numerical solution of large Lyapunov equations. (English) Zbl 0719.65034 Signal processing, scattering and operator theory, and numerical methods, Proc. Int. Symp. Math. Theory Networks Syst., MTNS, Vol. III, Amsterdam/Neth. 1989, Prog. Syst. Control Theory 5, 503-511 (1990). MSC: 65F30 65K10 15A24 93C15 PDFBibTeX XML
Ley-Koo, E.; Bunge, Carlos F. New method to evaluate atomic electron-repulsion integrals. (English) Zbl 0717.65012 J. Comput. Phys. 91, No. 1, 240-245 (1990). Reviewer: M.Bartušek MSC: 65D20 65D32 41A55 PDFBibTeX XMLCite \textit{E. Ley-Koo} and \textit{C. F. Bunge}, J. Comput. Phys. 91, No. 1, 240--245 (1990; Zbl 0717.65012) Full Text: DOI
Hsu, L. C.; Tomkins, R. J.; Wang, Chung-Lie A quadrature method for a class of strongly oscillatory infinite integrals. (English) Zbl 0698.41026 BIT 30, No. 1, 114-125 (1990). Reviewer: L.Gatteschi MSC: 41A55 41A60 65D32 PDFBibTeX XMLCite \textit{L. C. Hsu} et al., BIT 30, No. 1, 114--125 (1990; Zbl 0698.41026) Full Text: DOI
Takemasa, Tadashi Abscissae and weights for the Gauss-Laguerre quadrature formula. (English) Zbl 0798.65025 Comput. Phys. Commun. 52, No. 1, 133-140 (1988). MSC: 65D32 26-04 41A55 PDFBibTeX XMLCite \textit{T. Takemasa}, Comput. Phys. Commun. 52, No. 1, 133--140 (1988; Zbl 0798.65025) Full Text: DOI
Pissanetzky, Sergio An infinite element and a formula for numerical quadrature over an infinite interval. (English) Zbl 0522.65014 Int. J. Numer. Methods Eng. 19, 913-927 (1983). MSC: 65D32 65D05 41A55 65N30 74S05 65A05 PDFBibTeX XMLCite \textit{S. Pissanetzky}, Int. J. Numer. Methods Eng. 19, 913--927 (1983; Zbl 0522.65014) Full Text: DOI
Shizgal, B. A Gaussian quadrature procedure for use in the solution of the Boltzmann equation and related problems. (English) Zbl 0459.65096 J. Comput. Phys. 41, 309-328 (1981). MSC: 65R20 45H05 80A30 65D32 41A55 PDFBibTeX XMLCite \textit{B. Shizgal}, J. Comput. Phys. 41, 309--328 (1981; Zbl 0459.65096) Full Text: DOI
Gabutti, Bruno On high precision methods for computing integrals involving Bessel functions. (English) Zbl 0438.65027 Math. Comput. 33, 1049-1057 (1979). MSC: 65D20 33C10 65D32 PDFBibTeX XMLCite \textit{B. Gabutti}, Math. Comput. 33, 1049--1057 (1979; Zbl 0438.65027) Full Text: DOI
Lambin, P.; Vigneron, J. P. Tables for the Gaussian computation of \(\int^\infty_0x^\alpha e^{- x}f(x)dx\) for values of \(\alpha\) varying continuously between \(-1\) and \(+1\). (English) Zbl 0409.65003 Math. Comput. 33, 805-811 (1979). MSC: 65A05 65D32 41A55 PDFBibTeX XMLCite \textit{P. Lambin} and \textit{J. P. Vigneron}, Math. Comput. 33, 805--811 (1979; Zbl 0409.65003) Full Text: DOI
Kahaner, D. K.; Monegato, G. Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights. (English) Zbl 0399.41027 Z. angew. Math. Phys. 29, 983-986 (1978). MSC: 41A55 65D32 PDFBibTeX XMLCite \textit{D. K. Kahaner} and \textit{G. Monegato}, Z. Angew. Math. Phys. 29, 983--986 (1978; Zbl 0399.41027) Full Text: DOI
Winterbon, K. B. Comment on ”Comparison of some methods for evaluating infinite range oscillatory integrals”. (English) Zbl 0394.65010 J. Comput. Phys. 26, 447-448 (1978). MSC: 65D32 PDFBibTeX XMLCite \textit{K. B. Winterbon}, J. Comput. Phys. 26, 447--448 (1978; Zbl 0394.65010) Full Text: DOI