Exl, Lukas; Mauser, Norbert J.; Zhang, Yong Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation. (English) Zbl 1422.65450 J. Comput. Phys. 327, 629-642 (2016). MSC: 65R10 PDFBibTeX XMLCite \textit{L. Exl} et al., J. Comput. Phys. 327, 629--642 (2016; Zbl 1422.65450) Full Text: DOI arXiv
Ai, Zhi Yong; Liu, Chun Lin; Jiang, Jian Ping Dynamic analysis of a vertically loaded rigid disc in a transversely isotropic multilayered half-space. (English) Zbl 1388.74114 Meccanica 51, No. 8, 1887-1895 (2016). MSC: 74S30 74H15 PDFBibTeX XMLCite \textit{Z. Y. Ai} et al., Meccanica 51, No. 8, 1887--1895 (2016; Zbl 1388.74114) Full Text: DOI
Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto; Gervasio, Paola Numerical mathematics. 4th ed. (Matematica numerica.) (Italian) Zbl 1293.65001 Unitext 77. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-5643-5/pbk; 978-88-470-5644-2/ebook). xvii, 529 p. (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Matematica numerica (Italian). 4th ed. Milan: Springer (2014; Zbl 1293.65001) Full Text: DOI
Muravskii, G. B. Choice of specific interpolation points in quadrature formula for integrals containing Bessel functions. (English) Zbl 1334.65061 Appl. Math. Comput. 224, 724-734 (2013). MSC: 65D30 33C10 41A05 PDFBibTeX XMLCite \textit{G. B. Muravskii}, Appl. Math. Comput. 224, 724--734 (2013; Zbl 1334.65061) Full Text: DOI
Hanson, Richard J.; Hopkins, Tim Numerical computing with modern Fortran. (English) Zbl 1284.65198 Other Titles in Applied Mathematics 134. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611973-11-2/pbk). xv, 244 p. (2013). Reviewer: Hang Lau (Montréal) MSC: 65Y15 65-02 68N15 65D20 33F05 33C10 65F50 68N19 65D32 65K05 65Y05 PDFBibTeX XMLCite \textit{R. J. Hanson} and \textit{T. Hopkins}, Numerical computing with modern Fortran. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2013; Zbl 1284.65198)
Quarteroni, Alfio; Saleri, Fausto; Gervasio, Paola Scientific computing. Exercises and solved problems with MATLAB and Octave. 5th ed. (Calcolo scientifico. Esercizi e problemi risolti con MATLAB e Octave.) (Italian) Zbl 1258.65002 Unitext 62. La Matematica per il 3+2. Milano: Springer (ISBN 978-88-470-2744-2/hbk). xviii, 450 p. (2012). MSC: 65-01 65Hxx 65Dxx 15-04 41-04 12-04 34-04 68W30 65N30 65Fxx 65Lxx 65N06 35-04 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Calcolo scientifico. Esercizi e problemi risolti con MATLAB e Octave (Italian). 5th ed. Milano: Springer (2012; Zbl 1258.65002)
Shampine, L. F. Integrating oscillatory functions in Matlab. (English) Zbl 1229.65241 Int. J. Comput. Math. 88, No. 11, 2348-2358 (2011). MSC: 65T40 42A16 PDFBibTeX XMLCite \textit{L. F. Shampine}, Int. J. Comput. Math. 88, No. 11, 2348--2358 (2011; Zbl 1229.65241) Full Text: DOI
De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. Stieltjes-type polynomials on the unit circle. (English) Zbl 1198.65049 Math. Comput. 78, No. 266, 969-997 (2009). MSC: 65D32 42A10 42C05 30E20 PDFBibTeX XMLCite \textit{B. De La Calle Ysern} et al., Math. Comput. 78, No. 266, 969--997 (2009; Zbl 1198.65049) Full Text: DOI
Seybold, Hansjörg; Hilfer, Rudolf Numerical algorithm for calculating the generalized Mittag-Leffler function. (English) Zbl 1190.65033 SIAM J. Numer. Anal. 47, No. 1, 69-88 (2009). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65D20 33E12 33F05 PDFBibTeX XMLCite \textit{H. Seybold} and \textit{R. Hilfer}, SIAM J. Numer. Anal. 47, No. 1, 69--88 (2009; Zbl 1190.65033) Full Text: DOI
Plaskota, Leszek; Wasilkowski, Grzegorz W.; Zhao, Yaxi The power of adaption for approximating functions with singularities. (English) Zbl 1198.65262 Math. Comput. 77, No. 264, 2309-2338 (2008). MSC: 65Y20 65D05 41A10 41A25 PDFBibTeX XMLCite \textit{L. Plaskota} et al., Math. Comput. 77, No. 264, 2309--2338 (2008; Zbl 1198.65262) Full Text: DOI
Rothwell, E. J. Computation of the logarithm of Bessel functions of complex argument and fractional order. (English) Zbl 1148.65017 Commun. Numer. Methods Eng. 24, No. 3, 237-249 (2008). MSC: 65D20 33C10 33F05 78A45 PDFBibTeX XMLCite \textit{E. J. Rothwell}, Commun. Numer. Methods Eng. 24, No. 3, 237--249 (2008; Zbl 1148.65017) Full Text: DOI
Hasegawa, Takemitsu; Sugiura, Hiroshi Quadrature rule for indefinite integral of algebraic-logarithmic singular integrands. (English) Zbl 1145.65017 J. Comput. Appl. Math. 205, No. 1, 487-496 (2007). Reviewer: Paola Lamberti (Torino) MSC: 65D32 41A55 81Q05 65R20 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{H. Sugiura}, J. Comput. Appl. Math. 205, No. 1, 487--496 (2007; Zbl 1145.65017) Full Text: DOI
Van Deun, Joris; Cools, Ronald Algorithm 858: Computing infinite range integrals of an arbitrary product of Bessel functions. (English) Zbl 1230.65027 ACM Trans. Math. Softw. 32, No. 4, 580-596 (2006). MSC: 65D20 33C10 33F05 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{R. Cools}, ACM Trans. Math. Softw. 32, No. 4, 580--596 (2006; Zbl 1230.65027) Full Text: DOI
Bornemann, Folkmar; Laurie, Dirk; Wagon, Stan; Waldvogel, Jörg The SIAM 100-Digit Challenge: a study in high-accuracy numerical computing. With Foreword by David H. Bailey. Translated from the English. (Vom Lösen numerischer Probleme. Ein Streifzug entlang der “SIAM \(10\times 10\)-Digit-Challenge”. Mit einem Vorwort von David H. Bailey. Übersetzt aus dem Englischen.) (German) Zbl 1158.65001 Berlin: Springer (ISBN 3-540-34114-5/pbk). xiii, 381 p. (2006). MSC: 65-01 65Dxx 65Fxx 68W30 65C50 65T40 PDFBibTeX XMLCite \textit{F. Bornemann} et al., Vom Lösen numerischer Probleme. Ein Streifzug entlang der ``SIAM \(10\times 10\)-Digit-Challenge''. Mit einem Vorwort von David H. Bailey. Übersetzt aus dem Englischen. Berlin: Springer (2006; Zbl 1158.65001) Full Text: DOI
Jung, H. S. Hermite and Hermite-Fejér interpolation for Stieltjes polynomials. (English) Zbl 1094.41002 Math. Comput. 75, No. 254, 743-766 (2006). MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{H. S. Jung}, Math. Comput. 75, No. 254, 743--766 (2006; Zbl 1094.41002) Full Text: DOI
Ixaru, L. Gr.; Paternoster, B. A Gauss quadrature rule for oscillatory integrands. (English) Zbl 0977.65019 Comput. Phys. Commun. 133, No. 2-3, 177-188 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65D32 65T40 42A16 PDFBibTeX XMLCite \textit{L. Gr. Ixaru} and \textit{B. Paternoster}, Comput. Phys. Commun. 133, No. 2--3, 177--188 (2001; Zbl 0977.65019) Full Text: DOI
Mori, Masatake; Sugihara, Masaaki The double-exponential transformation in numerical analysis. (English) Zbl 0971.65015 J. Comput. Appl. Math. 127, No. 1-2, 287-296 (2001). Reviewer: Emil Minchev (Sofia) MSC: 65D32 65T40 42A16 41A55 PDFBibTeX XMLCite \textit{M. Mori} and \textit{M. Sugihara}, J. Comput. Appl. Math. 127, No. 1--2, 287--296 (2001; Zbl 0971.65015) Full Text: DOI
Kirk, N. P.; Connor, J. N. L.; Hobbs, C. A. An adaptive contour code for the numerical evaluation of the oscillatory cuspoid canonical integrals and their derivatives. (English) Zbl 1073.81502 Comput. Phys. Commun. 132, No. 1-2, 142-165 (2000). MSC: 81-04 81U99 65D32 65T40 PDFBibTeX XMLCite \textit{N. P. Kirk} et al., Comput. Phys. Commun. 132, No. 1--2, 142--165 (2000; Zbl 1073.81502) Full Text: DOI
Sauter, Thilo Computation of irregularly oscillating integrals. (English) Zbl 0963.65032 Appl. Numer. Math. 35, No. 3, 245-264 (2000). Reviewer: Josef Kofroň (Praha) MSC: 65D32 65B05 65T40 PDFBibTeX XMLCite \textit{T. Sauter}, Appl. Numer. Math. 35, No. 3, 245--264 (2000; Zbl 0963.65032) Full Text: DOI
Piessens, Robert Computing integral transforms and solving integral equations using Chebyshev polynomial approximations. (English) Zbl 0966.65103 J. Comput. Appl. Math. 121, No. 1-2, 113-124 (2000). Reviewer: R.S.Dahiya (Ames) MSC: 65R10 65R20 44A10 44A15 42A38 65T40 45E10 PDFBibTeX XMLCite \textit{R. Piessens}, J. Comput. Appl. Math. 121, No. 1--2, 113--124 (2000; Zbl 0966.65103) Full Text: DOI
Ooura, Takuya; Mori, Masatake A robust double exponential formula for Fourier-type integrals. (English) Zbl 0947.65149 J. Comput. Appl. Math. 112, No. 1-2, 229-241 (1999). Reviewer: Gabriele Steidl (Mannheim) MSC: 65T40 42A16 PDFBibTeX XMLCite \textit{T. Ooura} and \textit{M. Mori}, J. Comput. Appl. Math. 112, No. 1--2, 229--241 (1999; Zbl 0947.65149) Full Text: DOI
Valdés, J. L.; Biscay, R.; Jimenez, J. C. Geometric selection of centers for radial basis function approximations involved in intensive computer simulations. (English) Zbl 0933.65013 Math. Comput. Simul. 48, No. 3, 295-306 (1999). MSC: 65D10 65D15 PDFBibTeX XMLCite \textit{J. L. Valdés} et al., Math. Comput. Simul. 48, No. 3, 295--306 (1999; Zbl 0933.65013) Full Text: DOI
Brass, Helmut; Förster, Klaus-Jürgen On the application of the Peano representation of linear functionals in numerical analysis. (English) Zbl 0901.65004 Milovanović, G. V. (ed.), Recent progress in inequalities. Dedicated to Prof. Dragoslav S. Mitrinović. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 430, 175-202 (1998). Reviewer: J.Kofroň (Praha) MSC: 65D15 65D32 41A55 PDFBibTeX XMLCite \textit{H. Brass} and \textit{K.-J. Förster}, Math. Appl., Dordr. 430, 175--202 (1998; Zbl 0901.65004)
De Klerk, J. H.; Eyre, D.; Venter, L. M. \(L_ p\)-approximation method for the numerical solution of singular integral equations. (English) Zbl 0841.65128 Appl. Math. Comput. 72, No. 2-3, 285-300 (1995). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{J. H. De Klerk} et al., Appl. Math. Comput. 72, No. 2--3, 285--300 (1995; Zbl 0841.65128) Full Text: DOI
Pérez-Jordá, José M.; San-Fabián, Emilio A simple, efficient and more reliable scheme for automatic numerical integration. (English) Zbl 0854.65017 Comput. Phys. Commun. 77, No. 1-3, 46-56 (1993). MSC: 65D32 41A55 41A80 PDFBibTeX XMLCite \textit{J. M. Pérez-Jordá} and \textit{E. San-Fabián}, Comput. Phys. Commun. 77, No. 1--3, 46--56 (1993; Zbl 0854.65017) Full Text: DOI
Förster, Klaus-Jürgen Exit criteria and monotonicity in compound quadrature of Gaussian type. (English) Zbl 0801.65015 Numer. Math. 66, No. 3, 321-327 (1993). Reviewer: G.Hämmerlin (München) MSC: 65D32 41A55 41A80 PDFBibTeX XMLCite \textit{K.-J. Förster}, Numer. Math. 66, No. 3, 321--327 (1993; Zbl 0801.65015) Full Text: DOI EuDML
Piessens, Robert; Branders, Maria On the computation of Fourier transforms of singular functions. (English) Zbl 0762.65099 J. Comput. Appl. Math. 43, No. 1-2, 159-169 (1992). Reviewer: M.Tasche (Rostock) MSC: 65T40 42A38 PDFBibTeX XMLCite \textit{R. Piessens} and \textit{M. Branders}, J. Comput. Appl. Math. 43, No. 1--2, 159--169 (1992; Zbl 0762.65099) Full Text: DOI
Ooura, Takuya; Mori, Masatake The double exponential formula for oscillatory functions over the half infinite interval. (English) Zbl 0758.65015 J. Comput. Appl. Math. 38, No. 1-3, 353-360 (1991). Reviewer: J.N.Lyness (Argonne) MSC: 65D32 65T40 41A55 42A16 PDFBibTeX XMLCite \textit{T. Ooura} and \textit{M. Mori}, J. Comput. Appl. Math. 38, No. 1--3, 353--360 (1991; Zbl 0758.65015) Full Text: DOI
Hasegawa, Takemitsu; Torii, Tatsuo; Sugiura, Hiroshi An algorithm based on the FFT for a generalized Chebyshev interpolation. (English) Zbl 0685.65003 Math. Comput. 54, No. 189, 195-210 (1990). Reviewer: A.de Castro MSC: 65D05 41A05 65D32 42A15 PDFBibTeX XMLCite \textit{T. Hasegawa} et al., Math. Comput. 54, No. 189, 195--210 (1990; Zbl 0685.65003) Full Text: DOI
Dierckx, Paul; Suetens, Paul; Vandermeulen, Dirk An algorithm for surface reconstruction from planar contours using smoothing splines. (English) Zbl 0651.65006 J. Comput. Appl. Math. 23, No. 3, 367-388 (1988). Reviewer: Dayong Cui MSC: 65D15 53A05 65D07 41A15 41A63 PDFBibTeX XMLCite \textit{P. Dierckx} et al., J. Comput. Appl. Math. 23, No. 3, 367--388 (1988; Zbl 0651.65006) Full Text: DOI
Hasegawa, Takemitsu; Torii, Tatsuo Indefinite integration of oscillatory functions by the Chebyshev series expansion. (English) Zbl 0613.65145 J. Comput. Appl. Math. 17, 21-29 (1987). Reviewer: A.de Castro MSC: 65T40 65D30 42A15 41A55 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{T. Torii}, J. Comput. Appl. Math. 17, 21--29 (1987; Zbl 0613.65145) Full Text: DOI
Bezvoda, Václav; Farzan, Ruszlán; Segeth, Karel; Takó, Galina On numerical evaluation of integrals involving Bessel functions. (English) Zbl 0614.65012 Apl. Mat. 31, 396-410 (1986). Reviewer: K.S.Kölbig MSC: 65D20 65T40 65D32 33C10 42A16 PDFBibTeX XMLCite \textit{V. Bezvoda} et al., Apl. Mat. 31, 396--410 (1986; Zbl 0614.65012) Full Text: EuDML
Grotendorst, Johannes; Steinborn, E. Otto The Fourier transform of a two-center product of exponential-type functions and its efficient evaluation. (English) Zbl 0583.65096 J. Comput. Phys. 61, 195-217 (1985). Reviewer: R.S.Dahiya MSC: 65T40 65R10 42A38 PDFBibTeX XMLCite \textit{J. Grotendorst} and \textit{E. O. Steinborn}, J. Comput. Phys. 61, 195--217 (1985; Zbl 0583.65096) Full Text: DOI
Piessens, R.; Branders, Maria Computation of Fourier transform integrals using Chebyshev series expansions. (English) Zbl 0514.65098 Computing 32, 177-186 (1984). MSC: 65T40 65R10 42A38 PDFBibTeX XMLCite \textit{R. Piessens} and \textit{M. Branders}, Computing 32, 177--186 (1984; Zbl 0514.65098) Full Text: DOI
Piessens, Robert; Branders, Maria Modified Clenshaw-Curtis method for the computation of Bessel function integrals. (English) Zbl 0514.65008 BIT 23, 370-381 (1983). MSC: 65D20 65T40 65D32 33C10 41A55 42A38 65R10 PDFBibTeX XMLCite \textit{R. Piessens} and \textit{M. Branders}, BIT 23, 370--381 (1983; Zbl 0514.65008) Full Text: DOI