Hasegawa, Takemitsu; Sugiura, Hiroshi An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code. (English) Zbl 1522.65035 J. Comput. Appl. Math. 437, Article ID 115450, 17 p. (2024). MSC: 65D32 41A55 65D30 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{H. Sugiura}, J. Comput. Appl. Math. 437, Article ID 115450, 17 p. (2024; Zbl 1522.65035) Full Text: DOI
Vysotsky, L. I.; Smirnov, A. V.; Tyrtyshnikov, E. E. Tensor-train numerical integration of multivariate functions with singularities. (English) Zbl 1497.65062 Lobachevskii J. Math. 42, No. 7, 1608-1621 (2021). MSC: 65D32 41A55 41A63 65D30 PDFBibTeX XMLCite \textit{L. I. Vysotsky} et al., Lobachevskii J. Math. 42, No. 7, 1608--1621 (2021; Zbl 1497.65062) Full Text: DOI arXiv
Goćwin, Maciej On optimal adaptive quadratures for automatic integration. (English) Zbl 1491.65023 BIT 61, No. 2, 411-439 (2021). MSC: 65D32 41A55 65D30 65Y20 PDFBibTeX XMLCite \textit{M. Goćwin}, BIT 61, No. 2, 411--439 (2021; Zbl 1491.65023) Full Text: DOI
de la Calle Ysern, B.; Spalević, M. M. Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules. (English) Zbl 1384.41022 Numer. Math. 138, No. 1, 1-35 (2018). Reviewer: Kai Diethelm (Braunschweig) MSC: 41A55 33C45 PDFBibTeX XMLCite \textit{B. de la Calle Ysern} and \textit{M. M. Spalević}, Numer. Math. 138, No. 1, 1--35 (2018; Zbl 1384.41022) Full Text: DOI
Gao, Jing; Iserles, Arieh A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. (English) Zbl 1380.65056 BIT 57, No. 4, 943-961 (2017). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{J. Gao} and \textit{A. Iserles}, BIT 57, No. 4, 943--961 (2017; Zbl 1380.65056) Full Text: DOI
Keller, Paweł; Wróbel, Iwona Computing Cauchy principal value integrals using a standard adaptive quadrature. (English) Zbl 1327.65044 J. Comput. Appl. Math. 294, 323-341 (2016). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{P. Keller} and \textit{I. Wróbel}, J. Comput. Appl. Math. 294, 323--341 (2016; Zbl 1327.65044) Full Text: DOI arXiv
Plaskota, Leszek Automatic integration using asymptotically optimal adaptive simpson quadrature. (English) Zbl 1326.65035 Numer. Math. 131, No. 1, 173-198 (2015). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 65Y20 PDFBibTeX XMLCite \textit{L. Plaskota}, Numer. Math. 131, No. 1, 173--198 (2015; Zbl 1326.65035) Full Text: DOI
Domínguez, Víctor Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities. (English) Zbl 1280.65026 J. Comput. Appl. Math. 261, 299-319 (2014). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{V. Domínguez}, J. Comput. Appl. Math. 261, 299--319 (2014; Zbl 1280.65026) Full Text: DOI arXiv
Shampine, L. F. MATLAB program for quadrature in 2D. (English) Zbl 1147.65025 Appl. Math. Comput. 202, No. 1, 266-274 (2008). MSC: 65D32 41A55 41A63 68W30 65Y15 PDFBibTeX XMLCite \textit{L. F. Shampine}, Appl. Math. Comput. 202, No. 1, 266--274 (2008; Zbl 1147.65025) Full Text: DOI
Hasegawa, Takemitsu; Hibino, Susumu; Hosoda, Yohsuke; Ninomiya, Ichizo An extended doubly-adaptive quadrature method based on the combination of the Ninomiya and the FLR schemes. (English) Zbl 1127.65017 Numer. Algorithms 45, No. 1-4, 101-112 (2007). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{T. Hasegawa} et al., Numer. Algorithms 45, No. 1--4, 101--112 (2007; Zbl 1127.65017) Full Text: DOI Link
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
Hough, David M. Asymptotic Gauss-Jacobi quadrature error estimation for Schwarz-Christoffel integrals. (English) Zbl 1197.30003 J. Approx. Theory 146, No. 2, 157-173 (2007). Reviewer: Dimitrios Betsakos (Thessaloniki) MSC: 30C30 30E15 41A55 41A60 PDFBibTeX XMLCite \textit{D. M. Hough}, J. Approx. Theory 146, No. 2, 157--173 (2007; Zbl 1197.30003) Full Text: DOI
Petras, Knut Principles of verified numerical integration. (English) Zbl 1108.65016 J. Comput. Appl. Math. 199, No. 2, 317-328 (2007). MSC: 65D32 65G20 41A55 41A63 PDFBibTeX XMLCite \textit{K. Petras}, J. Comput. Appl. Math. 199, No. 2, 317--328 (2007; Zbl 1108.65016) Full Text: DOI
Mori, Masatake Discovery of the double exponential transformation and its developments. (English) Zbl 1098.41031 Publ. Res. Inst. Math. Sci. 41, No. 4, 897-935 (2005). MSC: 41A55 65-03 65D30 PDFBibTeX XMLCite \textit{M. Mori}, Publ. Res. Inst. Math. Sci. 41, No. 4, 897--935 (2005; Zbl 1098.41031) Full Text: DOI
Plaskota, Leszek; Wasilkowski, Grzegorz W. Adaption allows efficient integration of functions with unknown singularities. (English) Zbl 1083.65031 Numer. Math. 102, No. 1, 123-144 (2005). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. Plaskota} and \textit{G. W. Wasilkowski}, Numer. Math. 102, No. 1, 123--144 (2005; Zbl 1083.65031) Full Text: DOI
Cools, Ronald; Haegemans, Ann Algorithm 824: CUBPACK: A package for automatic cubature; framework description. (English) Zbl 1070.65517 ACM Trans. Math. Softw. 29, No. 3, 287-296 (2003). MSC: 65D32 65Y15 41A55 41A63 PDFBibTeX XMLCite \textit{R. Cools} and \textit{A. Haegemans}, ACM Trans. Math. Softw. 29, No. 3, 287--296 (2003; Zbl 1070.65517) Full Text: DOI
Gout, C.; Guessab, A. Extended Lagrange interpolation and nonclassical Gauss quadrature formulae. (English) Zbl 1048.41016 Math. Comput. Modelling 38, No. 1-2, 209-228 (2003). Reviewer: L. Leindler (Szeged) MSC: 41A55 41A05 PDFBibTeX XMLCite \textit{C. Gout} and \textit{A. Guessab}, Math. Comput. Modelling 38, No. 1--2, 209--228 (2003; Zbl 1048.41016) Full Text: DOI
Cools, Ronald Extrapolation and adaptivity in software for automatic numerical integration on a cube. (English) Zbl 1035.65023 Numer. Algorithms 34, No. 2-4, 259-269 (2003). MSC: 65D32 41A55 41A63 65Y15 PDFBibTeX XMLCite \textit{R. Cools}, Numer. Algorithms 34, No. 2--4, 259--269 (2003; Zbl 1035.65023) Full Text: DOI
Espelid, Terje O. Doubly adaptive quadrature routines based on Newton-Cotes rules. (English) Zbl 1034.65017 BIT 43, No. 2, 319-337 (2003). MSC: 65D32 41A55 65Y15 PDFBibTeX XMLCite \textit{T. O. Espelid}, BIT 43, No. 2, 319--337 (2003; Zbl 1034.65017) Full Text: DOI
Peherstorfer, Franz; Petras, Knut Stieltjes polynomials and Gauss-Kronrod quadrature for Jacobi weight functions. (English) Zbl 1035.41020 Numer. Math. 95, No. 4, 689-706 (2003). MSC: 41A55 PDFBibTeX XMLCite \textit{F. Peherstorfer} and \textit{K. Petras}, Numer. Math. 95, No. 4, 689--706 (2003; Zbl 1035.41020) Full Text: DOI
Petras, Knut Self-validating integration and approximation of piecewise analytic functions. (English) Zbl 1002.65030 J. Comput. Appl. Math. 145, No. 2, 345-359 (2002). Reviewer: Thomas Sonar (Braunschweig) MSC: 65D32 65G20 41A55 65G30 PDFBibTeX XMLCite \textit{K. Petras}, J. Comput. Appl. Math. 145, No. 2, 345--359 (2002; Zbl 1002.65030) Full Text: DOI
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
Gout, Christian; Guessab, Allal A new family of extended Gauss quadratures with an interior interval constraint. (English) Zbl 0985.65014 J. Comput. Appl. Math. 131, No. 1-2, 35-53 (2001). Reviewer: R.Wegmann (Garching) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{C. Gout} and \textit{A. Guessab}, J. Comput. Appl. Math. 131, No. 1--2, 35--53 (2001; Zbl 0985.65014) Full Text: DOI
Adam, Gh.; Adam, S. Increasing reliability of Gauss-Kronrod quadrature by Eratosthenes’ sieve method. (English) Zbl 0982.65029 Comput. Phys. Commun. 135, No. 3, 261-277 (2001). Reviewer: Dan Barbosu (Baia Mare) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{Gh. Adam} and \textit{S. Adam}, Comput. Phys. Commun. 135, No. 3, 261--277 (2001; Zbl 0982.65029) Full Text: DOI
Monegato, Giovanni An overview of the computational aspects of Kronrod quadrature rules. (English) Zbl 0974.65024 Numer. Algorithms 26, No. 2, 173-196 (2001). Reviewer: D.Acu (Sibiu) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{G. Monegato}, Numer. Algorithms 26, No. 2, 173--196 (2001; Zbl 0974.65024) 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
Ehrich, Sven Stopping functionals for Gaussian quadrature formulas. (English) Zbl 0973.41015 J. Comput. Appl. Math. 127, No. 1-2, 153-171 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 41A55 PDFBibTeX XMLCite \textit{S. Ehrich}, J. Comput. Appl. Math. 127, No. 1--2, 153--171 (2001; Zbl 0973.41015) Full Text: DOI
Diethelm, Kai A method for the practical evaluation of the Hilbert transform on the real line. (English) Zbl 0944.65139 J. Comput. Appl. Math. 112, No. 1-2, 45-53 (1999). Reviewer: N.Hayek (La Laguna) MSC: 65R10 65Y20 44A15 65D32 41A55 PDFBibTeX XMLCite \textit{K. Diethelm}, J. Comput. Appl. Math. 112, No. 1--2, 45--53 (1999; Zbl 0944.65139) 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)
Hasegawa, Takemitsu; Sidi, Avram An automatic integration procedure for infinite range integrals involving oscillatory kernels. (English) Zbl 0879.65015 Numer. Algorithms 13, No. 1-2, 1-19 (1996). Reviewer: D.Acu (Sibiu) MSC: 65D32 33E20 33C10 41A55 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{A. Sidi}, Numer. Algorithms 13, No. 1--2, 1--19 (1996; Zbl 0879.65015) Full Text: DOI
Ehrich, Sven A note on Peano constants of Gauss-Kronrod quadrature schemes. (English) Zbl 0853.41018 J. Comput. Appl. Math. 66, No. 1-2, 177-183 (1996). MSC: 41A55 41A80 PDFBibTeX XMLCite \textit{S. Ehrich}, J. Comput. Appl. Math. 66, No. 1--2, 177--183 (1996; Zbl 0853.41018) Full Text: DOI
Venter, Antoinetta; Laurie, Dirk P. Automatic quadrature of functions of the form \(g(| f(x)|)\). (English) Zbl 0853.65030 BIT 36, No. 2, 387-394 (1996). Reviewer: A.C.Genz (Pullman) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. Venter} and \textit{D. P. Laurie}, BIT 36, No. 2, 387--394 (1996; Zbl 0853.65030) Full Text: DOI
Laurie, Dirk P. Anti-Gaussian quadrature formulas. (English) Zbl 0843.41020 Math. Comput. 65, No. 214, 739-747 (1996). MSC: 41A55 33C45 PDFBibTeX XMLCite \textit{D. P. Laurie}, Math. Comput. 65, No. 214, 739--747 (1996; Zbl 0843.41020) Full Text: DOI
Ehrich, Sven Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions. (English) Zbl 0867.42011 J. Comput. Appl. Math. 65, No. 1-3, 135-144 (1995). Reviewer: L.Gatteschi (Torino) MSC: 42C05 33C55 41A55 PDFBibTeX XMLCite \textit{S. Ehrich}, J. Comput. Appl. Math. 65, No. 1--3, 135--144 (1995; Zbl 0867.42011) Full Text: DOI
Lucas, S. K. Evaluating infinite integrals involving products of Bessel functions of arbitrary order. (English) Zbl 0853.65028 J. Comput. Appl. Math. 64, No. 3, 269-282 (1995). Reviewer: N.M.Temme (Amsterdam) MSC: 65D32 33C10 41A55 65D20 PDFBibTeX XMLCite \textit{S. K. Lucas}, J. Comput. Appl. Math. 64, No. 3, 269--282 (1995; Zbl 0853.65028) Full Text: DOI
Bull, J. M.; Freeman, T. L. Parallel globally adaptive algorithms for multi-dimensional integration. (English) Zbl 0876.65012 Appl. Numer. Math. 19, No. 1-2, 3-16 (1995). Reviewer: C.Simerská (Praha) MSC: 65D32 65Y05 41A55 41A63 PDFBibTeX XMLCite \textit{J. M. Bull} and \textit{T. L. Freeman}, Appl. Numer. Math. 19, No. 1--2, 3--16 (1995; Zbl 0876.65012) Full Text: DOI
Favati, P.; Lotti, G.; Romani, F. New symmetric interpolatory quadrature formulas. (English) Zbl 0872.65013 Calcolo 32, No. 1-2, 39-50 (1995). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{P. Favati} et al., Calcolo 32, No. 1--2, 39--50 (1995; Zbl 0872.65013) Full Text: DOI
Förster, K. J.; Petras, K. On the variance of Gaussian quadrature formulae in the ultraspherical case. (English) Zbl 0831.41017 Calcolo 31, No. 1-2, 1-33 (1994). MSC: 41A55 65D32 PDFBibTeX XMLCite \textit{K. J. Förster} and \textit{K. Petras}, Calcolo 31, No. 1--2, 1--33 (1994; Zbl 0831.41017) Full Text: DOI
Bull, J. M.; Freeman, T. L. Parallel globally adaptive quadrature on the KSR-1. (English) Zbl 0828.65018 Adv. Comput. Math. 2, No. 4, 357-373 (1994). Reviewer: K.Burrage (Brisbane) MSC: 65D32 41A55 65Y05 PDFBibTeX XMLCite \textit{J. M. Bull} and \textit{T. L. Freeman}, Adv. Comput. Math. 2, No. 4, 357--373 (1994; Zbl 0828.65018) Full Text: DOI
Favati, Paola; Lotti, Grazia; Romani, Francesco Theoretical and practical efficiency measures for symmetric interpolatory quadrature formulas. (English) Zbl 0823.65019 BIT 34, No. 4, 546-557 (1994). Reviewer: A.C.Genz (Pullman) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{P. Favati} et al., BIT 34, No. 4, 546--557 (1994; Zbl 0823.65019) Full Text: DOI
Espelid, T. O.; Overholt, K. J. DQAINF: An algorithm for automatic integration of infinite oscillating tails. (English) Zbl 0811.65017 Numer. Algorithms 8, No. 1, 83-101 (1994). Reviewer: E.Lanckau (Chemnitz) MSC: 65D32 41A55 65D20 PDFBibTeX XMLCite \textit{T. O. Espelid} and \textit{K. J. Overholt}, Numer. Algorithms 8, No. 1, 83--101 (1994; Zbl 0811.65017) Full Text: DOI
Ehrich, Sven Error bounds for Gauss-Kronrod quadrature formulae. (English) Zbl 0790.41020 Math. Comput. 62, No. 205, 295-304 (1994). MSC: 41A55 PDFBibTeX XMLCite \textit{S. Ehrich}, Math. Comput. 62, No. 205, 295--304 (1994; Zbl 0790.41020) 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
Verlinden, Pierre; Haegemans, Ann An error expansion for cubature with an integrand with homogeneous boundary singularities. (English) Zbl 0795.41029 Numer. Math. 65, No. 3, 383-406 (1993). MSC: 41A55 65D30 65D32 PDFBibTeX XMLCite \textit{P. Verlinden} and \textit{A. Haegemans}, Numer. Math. 65, No. 3, 383--406 (1993; Zbl 0795.41029) Full Text: DOI EuDML
Genz, Alan Statistics applications of subregion adaptive multiple numerical integration. (English) Zbl 0741.65015 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Bergen/Norw. 1991, NATO ASI Ser., Ser. C 357, 267-280 (1992). MSC: 65D32 65C99 41A55 41A63 PDFBibTeX XMLCite \textit{A. Genz}, in: Numerical integration. Recent developments, software and applications. Proceedings of the NATO advanced research workshop, Bergen, Norway, June 17-22, 1991. . 267--280 (1992; Zbl 0741.65015)
Laurie, Dirk P. Stratified sequences of nested quadrature formulas. (English) Zbl 0788.65025 Quaest. Math. 15, No. 3, 365-384 (1992). Reviewer: G.Grozev (Montreal) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. P. Laurie}, Quaest. Math. 15, No. 3, 365--384 (1992; Zbl 0788.65025) Full Text: DOI
Rabinowitz, Philip Extrapolation methods in numerical integration. (English) Zbl 0790.65016 Numer. Algorithms 3, No. 1-4, 17-28 (1992). Reviewer: A.C.Genz (Pullman) MSC: 65D32 41A55 65-02 PDFBibTeX XMLCite \textit{P. Rabinowitz}, Numer. Algorithms 3, No. 1--4, 17--28 (1992; Zbl 0790.65016) Full Text: DOI
Berntsen, Jarle; Espelid, Terje O.; Sørevik, Tor On the subdivision strategy in adaptive quadrature algorithms. (English) Zbl 0734.65008 J. Comput. Appl. Math. 35, No. 1-3, 119-132 (1991). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{J. Berntsen} et al., J. Comput. Appl. Math. 35, No. 1--3, 119--132 (1991; Zbl 0734.65008) Full Text: DOI
Adam, Gh.; Nobile, A. Product integration rules at Clenshaw-Curtis and related points: A robust implementation. (English) Zbl 0726.65020 IMA J. Numer. Anal. 11, No. 2, 271-296 (1991). Reviewer: G.F.Corliss (Milwaukee) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{Gh. Adam} and \textit{A. Nobile}, IMA J. Numer. Anal. 11, No. 2, 271--296 (1991; Zbl 0726.65020) Full Text: DOI
Hasegawa, Takemitsu; Torii, Tatsuo An automatic quadrature for Cauchy principal value integrals. (English) Zbl 0725.65025 Math. Comput. 56, No. 194, 741-754 (1991). Reviewer: D.Acu (Sibiu) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{T. Torii}, Math. Comput. 56, No. 194, 741--754 (1991; Zbl 0725.65025) Full Text: DOI
Favati, Paola; Lotti, Grazia; Romani, Francesco Local error estimates in quadrature. (English) Zbl 0722.41033 BIT 31, No. 1, 102-111 (1991). MSC: 41A55 65D32 PDFBibTeX XMLCite \textit{P. Favati} et al., BIT 31, No. 1, 102--111 (1991; Zbl 0722.41033) Full Text: DOI
Begumisa, Anuntiato; Robinson, Ian Suboptimal Kronrod extension formulae for numerical quadrature. (English) Zbl 0699.65015 Numer. Math. 58, No. 8, 807-818 (1991). Reviewer: A.Begumisa MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. Begumisa} and \textit{I. Robinson}, Numer. Math. 58, No. 8, 807--818 (1991; Zbl 0699.65015) Full Text: DOI EuDML
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 Application of a modified FFT to product type integration. (English) Zbl 0754.65023 J. Comput. Appl. Math. 38, No. 1-3, 157-168 (1991). Reviewer: W.Moldenhauer (Erfurt) MSC: 65D30 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{T. Torii}, J. Comput. Appl. Math. 38, No. 1--3, 157--168 (1991; Zbl 0754.65023) Full Text: DOI
Berntsen, Jarle; Espelid, Terje O. Error estimation in automatic quadrature routines. (English) Zbl 0900.65051 ACM Trans. Math. Softw. 17, No. 2, 233-252 (1991). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{J. Berntsen} and \textit{T. O. Espelid}, ACM Trans. Math. Softw. 17, No. 2, 233--252 (1991; Zbl 0900.65051) Full Text: DOI Link
Favati, Paola; Lotti, Grazia; Romani, Francesco Algorithm 691: Improving QUADPACK automatic integration routines. (English) Zbl 0900.65050 ACM Trans. Math. Softw. 17, No. 2, 218-232 (1991). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{P. Favati} et al., ACM Trans. Math. Softw. 17, No. 2, 218--232 (1991; Zbl 0900.65050) Full Text: DOI Link
Favati, Paola; Lotti, Grazia; Romani, Francesco Interpolatory integration formulas for optimal composition. (English) Zbl 0900.65052 ACM Trans. Math. Softw. 17, No. 2, 207-217 (1991). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{P. Favati} et al., ACM Trans. Math. Softw. 17, No. 2, 207--217 (1991; Zbl 0900.65052) Full Text: DOI Link
Burrage, Kevin An adaptive numerical integration code for a chain of transputers. (English) Zbl 0713.65012 Parallel Comput. 16, No. 2-3, 305-312 (1990). Reviewer: W.Moldenhauer MSC: 65D32 65Y05 41A55 PDFBibTeX XMLCite \textit{K. Burrage}, Parallel Comput. 16, No. 2--3, 305--312 (1990; Zbl 0713.65012) Full Text: DOI
Rabinowitz, Philip; Elhay, Sylvan; Kautsky, Jaroslav Empirical mathematics: The first Patterson extension of Gauss-Kronrod rules. (English) Zbl 0707.65010 Int. J. Comput. Math. 36, No. 1-2, 119-129 (1990). Reviewer: S.Filippi MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{P. Rabinowitz} et al., Int. J. Comput. Math. 36, No. 1--2, 119--129 (1990; Zbl 0707.65010) Full Text: DOI
Eiermann, Martin C. Automatic, guaranteed integration of analytic functions. (English) Zbl 0688.65017 BIT 29, No. 2, 270-282 (1989). Reviewer: L.P.Lebedev MSC: 65D32 65G30 30E20 41A55 PDFBibTeX XMLCite \textit{M. C. Eiermann}, BIT 29, No. 2, 270--282 (1989; Zbl 0688.65017) Full Text: DOI
Hunter, D. B.; Smith, H. V. The evaluation of Cauchy principal value integrals involving unknown poles. (English) Zbl 0679.65012 BIT 29, No. 3, 512-517 (1989). Reviewer: A.de Castro MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{D. B. Hunter} and \textit{H. V. Smith}, BIT 29, No. 3, 512--517 (1989; Zbl 0679.65012) Full Text: DOI
Espelid, Terje O.; Sørevik, Tor A discussion of a new error estimate for adaptive quadrature. (English) Zbl 0677.65018 BIT 29, No. 2, 283-294 (1989). Reviewer: J.N.Lyness MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{T. O. Espelid} and \textit{T. Sørevik}, BIT 29, No. 2, 283--294 (1989; Zbl 0677.65018) Full Text: DOI
Palamara Orsi, Annamaria Nested quadrature rules for Cauchy principal value integrals. (English) Zbl 0677.65017 J. Comput. Appl. Math. 25, No. 3, 251-266 (1989). Reviewer: D.Acu MSC: 65D32 41A55 41A63 30E20 PDFBibTeX XMLCite \textit{A. Palamara Orsi}, J. Comput. Appl. Math. 25, No. 3, 251--266 (1989; Zbl 0677.65017) Full Text: DOI
Berntsen, Jarle; Espelid, Terje O. A parallel global adaptive quadrature algorithm for hypercubes. (English) Zbl 0657.65036 Parallel Comput. 8, No. 1-3, 313-323 (1988). Reviewer: D.Acu MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{J. Berntsen} and \textit{T. O. Espelid}, Parallel Comput. 8, No. 1--3, 313--323 (1988; Zbl 0657.65036) Full Text: DOI
Geppini, M.; Romani, F. Automatic quadrature on Chebyshev points. (English) Zbl 0654.65016 Comput. Math. Appl. 16, No. 3, 185-193 (1988). Reviewer: G.Opfer MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{M. Geppini} and \textit{F. Romani}, Comput. Math. Appl. 16, No. 3, 185--193 (1988; Zbl 0654.65016) Full Text: DOI
Gladwell, I. Vectorisation of one-dimensional quadrature codes. (English) Zbl 0623.65024 Numerical integration. Recent developments, software and applications, Proc. NATO Adv. Res. Workshop, Halifax/Can. 1986, NATO ASI Ser., Ser. C 203, 231-238 (1987). MSC: 65D32 65Y05 41A55 PDFBibTeX XML
Caliò, Franca; Marchetti, Elena Derivation and implementation of an algorithm for singular integrals. (English) Zbl 0618.65011 Computing 38, 235-245 (1987). MSC: 65D32 41A55 30E20 26-04 PDFBibTeX XMLCite \textit{F. Caliò} and \textit{E. Marchetti}, Computing 38, 235--245 (1987; Zbl 0618.65011) Full Text: DOI
Kahaner, David K.; Rechard, Ottis W. TWODQD an adaptive routine for two-dimensional integration. (English) Zbl 0615.65026 J. Comput. Appl. Math. 17, 215-234 (1987). Reviewer: Yasuhiro Kobayashi MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{D. K. Kahaner} and \textit{O. W. Rechard}, J. Comput. Appl. Math. 17, 215--234 (1987; Zbl 0615.65026) 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
Rabinowitz, Philip Some practical aspects in the numerical evaluation of Cauchy principal value integrals. (English) Zbl 0654.65019 Int. J. Comput. Math. 20, No. 3-4, 283-298 (1986). MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{P. Rabinowitz}, Int. J. Comput. Math. 20, No. 3--4, 283--298 (1986; Zbl 0654.65019) Full Text: DOI
Rabinowitz, P. A stable Gauss-Kronrod algorithm for Cauchy principal-value integrals. (English) Zbl 0625.65011 Comput. Math. Appl., Part B 12, 1249-1254 (1986). Reviewer: M.Reimer MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{P. Rabinowitz}, Comput. Math. Appl., Part B 12, 1249--1254 (1986; Zbl 0625.65011)
Amini, S. Efficient quadrature rules with a priori error estimates for integrands with end point singularities. (English) Zbl 0587.41022 BIT 26, 200-208 (1986). MSC: 41A55 PDFBibTeX XMLCite \textit{S. Amini}, BIT 26, 200--208 (1986; Zbl 0587.41022) Full Text: DOI
Laurie, Dirk P. Practical error estimation in numerical integration. (English) Zbl 0589.65020 J. Comput. Appl. Math. 12/13, 425-431 (1985). Reviewer: J.N.Lyness MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. P. Laurie}, J. Comput. Appl. Math. 12/13, 425--431 (1985; Zbl 0589.65020) 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
Piessens, R.; de Doncker-Kapenga, E.; Überhuber, Christoph W.; Kahaner, D. K. Quadpack. A subroutine package for automatic integration. (English) Zbl 0508.65005 Springer Series in Computational Mathematics, 1. Berlin-Heidelberg-New York-Tokyo: Springer-Verlag. VIII, 301 p., 26 figs. DM 54.00; $ 21.50 (1983). MSC: 65D32 65Y99 65-04 65R10 44A10 44A15 41A55 41A63 PDFBibTeX XML