An, Congpei; Wu, Hao-Ning Is hyperinterpolation efficient in the approximation of singular and oscillatory functions? (English) Zbl 07818438 J. Approx. Theory 299, Article ID 106013, 23 p. (2024). MSC: 41-XX 42-XX 65D32 41A10 41A55 PDFBibTeX XMLCite \textit{C. An} and \textit{H.-N. Wu}, J. Approx. Theory 299, Article ID 106013, 23 p. (2024; Zbl 07818438) Full Text: DOI arXiv
Kritzer, Peter; Osisiogu, Onyekachi On a reduced component-by-component digit-by-digit construction of lattice point sets. (English) Zbl 1520.65014 Unif. Distrib. Theory 18, No. 1, 97-140 (2023). MSC: 65D30 65D32 41A55 41A63 65C05 PDFBibTeX XMLCite \textit{P. Kritzer} and \textit{O. Osisiogu}, Unif. Distrib. Theory 18, No. 1, 97--140 (2023; Zbl 1520.65014) Full Text: DOI arXiv
Weed, Jared; Ding, Lingyun; Huang, Jingfang; Cho, Min Hyung Quadrature by two expansions for evaluating Helmholtz layer potentials. (English) Zbl 1515.65336 J. Sci. Comput. 95, No. 3, Paper No. 96, 16 p. (2023). MSC: 65R20 65D30 65E05 65T40 31C05 32A55 41A10 PDFBibTeX XMLCite \textit{J. Weed} et al., J. Sci. Comput. 95, No. 3, Paper No. 96, 16 p. (2023; Zbl 1515.65336) Full Text: DOI arXiv
Kritzer, Peter A note on the CBC-DBD construction of lattice rules with general positive weights. (English) Zbl 1515.65062 J. Complexity 76, Article ID 101721, 12 p. (2023). MSC: 65D30 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{P. Kritzer}, J. Complexity 76, Article ID 101721, 12 p. (2023; Zbl 1515.65062) Full Text: DOI arXiv
Dick, Josef; Goda, Takashi; Suzuki, Kosuke Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate. (English) Zbl 1504.11085 Math. Comput. 91, No. 338, 2771-2801 (2022). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K45 65C05 65D30 65D32 PDFBibTeX XMLCite \textit{J. Dick} et al., Math. Comput. 91, No. 338, 2771--2801 (2022; Zbl 1504.11085) Full Text: DOI arXiv
Ebert, Adrian; Kritzer, Peter; Osisiogu, Onyekachi; Stepaniuk, Tetiana Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces. (English) Zbl 1497.65057 Constr. Approx. 56, No. 1, 75-119 (2022). MSC: 65D30 65C05 41A55 41A63 65D32 PDFBibTeX XMLCite \textit{A. Ebert} et al., Constr. Approx. 56, No. 1, 75--119 (2022; Zbl 1497.65057) Full Text: DOI arXiv
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher Data-driven balancing of linear dynamical systems. (English) Zbl 1492.37076 SIAM J. Sci. Comput. 44, No. 1, A554-A582 (2022). MSC: 37M99 41A20 65D30 93A15 93B15 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., SIAM J. Sci. Comput. 44, No. 1, A554--A582 (2022; Zbl 1492.37076) Full Text: DOI arXiv
Ebert, Adrian; Kritzer, Peter; Nuyens, Dirk; Osisiogu, Onyekachi Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness. (English) Zbl 1481.65044 J. Complexity 66, Article ID 101555, 37 p. (2021). MSC: 65D30 65D32 65C05 41A55 41A63 PDFBibTeX XMLCite \textit{A. Ebert} et al., J. Complexity 66, Article ID 101555, 37 p. (2021; Zbl 1481.65044) Full Text: DOI arXiv
Occorsio, Donatella; Russo, Maria Grazia; Themistoclakis, Woula Some numerical applications of generalized Bernstein operators. (English) Zbl 1490.65041 Constr. Math. Anal. 4, No. 2, 186-214 (2021). MSC: 65D32 41A10 65R20 PDFBibTeX XMLCite \textit{D. Occorsio} et al., Constr. Math. Anal. 4, No. 2, 186--214 (2021; Zbl 1490.65041) Full Text: DOI
Kuo, Frances Y.; Migliorati, Giovanni; Nobile, Fabio; Nuyens, Dirk Function integration, reconstruction and approximation using rank-\(1\) lattices. (English) Zbl 1466.42002 Math. Comput. 90, No. 330, 1861-1897 (2021). MSC: 42A10 41A10 41A63 65D30 65D32 65D15 PDFBibTeX XMLCite \textit{F. Y. Kuo} et al., Math. Comput. 90, No. 330, 1861--1897 (2021; Zbl 1466.42002) Full Text: DOI arXiv
An, Congpei; Wu, Hao-Ning Tikhonov regularization for polynomial approximation problems in Gauss quadrature points. (English) Zbl 1461.65010 Inverse Probl. 37, No. 1, Article ID 015008, 19 p. (2021). MSC: 65D05 65D30 41A10 PDFBibTeX XMLCite \textit{C. An} and \textit{H.-N. Wu}, Inverse Probl. 37, No. 1, Article ID 015008, 19 p. (2021; Zbl 1461.65010) Full Text: DOI arXiv
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk; Sloan, Ian H. Lattice algorithms for multivariate approximation in periodic spaces with general weight parameters. (English) Zbl 1477.65051 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 93-113 (2020). MSC: 65D30 41A10 41A15 65D32 65T40 PDFBibTeX XMLCite \textit{R. Cools} et al., Contemp. Math. 754, 93--113 (2020; Zbl 1477.65051) Full Text: DOI arXiv
Shustov, Viktor Vladimirovich On representation of certain integrals using the values of a function and its derivatives. (Russian. English summary) Zbl 1463.41069 Vladikavkaz. Mat. Zh. 22, No. 2, 82-97 (2020). MSC: 41A55 41A10 65B15 65D30 PDFBibTeX XMLCite \textit{V. V. Shustov}, Vladikavkaz. Mat. Zh. 22, No. 2, 82--97 (2020; Zbl 1463.41069) Full Text: DOI MNR
Zhou, Yang Quadrature rules with neighborhood of spherical designs on the two-sphere. (English) Zbl 1433.65038 Appl. Math. Comput. 367, Article ID 124769, 8 p. (2020). MSC: 65D32 65D30 41A10 65G30 41A55 PDFBibTeX XMLCite \textit{Y. Zhou}, Appl. Math. Comput. 367, Article ID 124769, 8 p. (2020; Zbl 1433.65038) Full Text: DOI
Miclăuş, Dan; Pişcoran, Laurian Ioan A new method for the approximation of integrals using the generalized Bernstein quadrature formula. (English) Zbl 1428.41037 Appl. Math. Comput. 340, 146-155 (2019). MSC: 41A55 41A10 41A80 65D30 PDFBibTeX XMLCite \textit{D. Miclăuş} and \textit{L. I. Pişcoran}, Appl. Math. Comput. 340, 146--155 (2019; Zbl 1428.41037) Full Text: DOI
Ebert, Adrian; Kritzer, Peter Constructing lattice points for numerical integration by a reduced fast successive coordinate search algorithm. (English) Zbl 1524.65011 J. Comput. Appl. Math. 351, 77-100 (2019). MSC: 65C05 65D30 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{A. Ebert} and \textit{P. Kritzer}, J. Comput. Appl. Math. 351, 77--100 (2019; Zbl 1524.65011) Full Text: DOI arXiv
Dick, Josef; Goda, Takashi; Yoshiki, Takehito Richardson extrapolation of polynomial lattice rules. (English) Zbl 1415.65058 SIAM J. Numer. Anal. 57, No. 1, 44-69 (2019). Reviewer: Dan Bărbosu (Baia Mare) MSC: 65D32 65C05 65D30 PDFBibTeX XMLCite \textit{J. Dick} et al., SIAM J. Numer. Anal. 57, No. 1, 44--69 (2019; Zbl 1415.65058) Full Text: DOI arXiv
Occorsio, Maria Carmela De Bonis Donatella A product integration rule for hypersingular integrals on \((0,+\infty)\). (English) Zbl 1415.65063 ETNA, Electron. Trans. Numer. Anal. 50, 129-143 (2018). MSC: 65D32 65R20 41A10 PDFBibTeX XMLCite \textit{M. C. De B. D. Occorsio}, ETNA, Electron. Trans. Numer. Anal. 50, 129--143 (2018; Zbl 1415.65063) Full Text: DOI Link
Linders, Viktor; Lundquist, Tomas; Nordström, Jan On the order of accuracy of finite difference operators on diagonal norm based summation-by-parts form. (English) Zbl 1448.65192 SIAM J. Numer. Anal. 56, No. 2, 1048-1063 (2018). MSC: 65N06 65D25 65D30 65N12 PDFBibTeX XMLCite \textit{V. Linders} et al., SIAM J. Numer. Anal. 56, No. 2, 1048--1063 (2018; Zbl 1448.65192) Full Text: DOI
Mitrea, Alexandru I. On the dense unbounded divergence of interpolatory product integration on Jacobi nodes. (English) Zbl 1387.41016 Calcolo 55, No. 1, Paper No. 10, 15 p. (2018). MSC: 41A55 41A10 65D32 PDFBibTeX XMLCite \textit{A. I. Mitrea}, Calcolo 55, No. 1, Paper No. 10, 15 p. (2018; Zbl 1387.41016) Full Text: DOI
Occorsio, Donatella; Russo, Maria Grazia A new quadrature scheme based on an extended Lagrange interpolation process. (English) Zbl 1377.65034 Appl. Numer. Math. 124, 57-75 (2018). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{M. G. Russo}, Appl. Numer. Math. 124, 57--75 (2018; Zbl 1377.65034) Full Text: DOI
Askham, T.; Cerfon, A. J. An adaptive fast multipole accelerated Poisson solver for complex geometries. (English) Zbl 1380.65413 J. Comput. Phys. 344, 1-22 (2017). MSC: 65N85 35J05 65D30 PDFBibTeX XMLCite \textit{T. Askham} and \textit{A. J. Cerfon}, J. Comput. Phys. 344, 1--22 (2017; Zbl 1380.65413) Full Text: DOI arXiv
Dick, Josef; Goda, Takashi; Suzuki, Kosuke; Yoshiki, Takehito Construction of interlaced polynomial lattice rules for infinitely differentiable functions. (English) Zbl 1385.65002 Numer. Math. 137, No. 2, 257-288 (2017). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65D32 65C10 65C20 65T50 PDFBibTeX XMLCite \textit{J. Dick} et al., Numer. Math. 137, No. 2, 257--288 (2017; Zbl 1385.65002) Full Text: DOI arXiv
Lewanowicz, Stanisław; Keller, Paweł; Woźny, Paweł Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces. (English) Zbl 1392.41004 Numer. Algorithms 75, No. 1, 93-111 (2017). Reviewer: Jiří Hrivnák (Praha) MSC: 41A10 65D17 65D30 33D45 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Numer. Algorithms 75, No. 1, 93--111 (2017; Zbl 1392.41004) Full Text: DOI arXiv
Nuyens, Dirk; Suryanarayana, Gowri; Weimar, Markus Construction of quasi-Monte Carlo rules for multivariate integration in spaces of permutation-invariant functions. (English) Zbl 1375.65001 Constr. Approx. 45, No. 2, 311-344 (2017). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65D32 65Y20 68Q25 46E22 PDFBibTeX XMLCite \textit{D. Nuyens} et al., Constr. Approx. 45, No. 2, 311--344 (2017; Zbl 1375.65001) Full Text: DOI arXiv Link
Goda, Takashi; Dick, Josef Construction of interlaced scrambled polynomial lattice rules of arbitrary high order. (English) Zbl 1323.65002 Found. Comput. Math. 15, No. 5, 1245-1278 (2015). MSC: 65C05 65D30 65D32 PDFBibTeX XMLCite \textit{T. Goda} and \textit{J. Dick}, Found. Comput. Math. 15, No. 5, 1245--1278 (2015; Zbl 1323.65002) Full Text: DOI arXiv
Altmayer, Martin; Neuenkirch, Andreas Multilevel Monte Carlo quadrature of discontinuous payoffs in the generalized Heston model using Malliavin integration by parts. (English) Zbl 1338.60168 SIAM J. Financ. Math. 6, 22-52 (2015). MSC: 60H30 60H05 60H07 60H35 60H10 65C05 65C30 91G60 91G80 PDFBibTeX XMLCite \textit{M. Altmayer} and \textit{A. Neuenkirch}, SIAM J. Financ. Math. 6, 22--52 (2015; Zbl 1338.60168) Full Text: DOI
Dick, Josef; Kritzer, Peter; Leobacher, Gunther; Pillichshammer, Friedrich A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights. (English) Zbl 1300.65004 J. Comput. Appl. Math. 276, 1-15 (2015). MSC: 65C05 PDFBibTeX XMLCite \textit{J. Dick} et al., J. Comput. Appl. Math. 276, 1--15 (2015; Zbl 1300.65004) Full Text: DOI arXiv
Güttel, Stefan; Klein, Georges Efficient high-order rational integration and deferred correction with equispaced data. (English) Zbl 1314.65014 ETNA, Electron. Trans. Numer. Anal. 41, 443-464 (2014). MSC: 65D05 41A20 65D30 65B05 PDFBibTeX XMLCite \textit{S. Güttel} and \textit{G. Klein}, ETNA, Electron. Trans. Numer. Anal. 41, 443--464 (2014; Zbl 1314.65014) Full Text: EMIS
Dirvuk, E. V.; Smotritskiĭ, K. A. Rational quadrature formulas of Radau type. (Russian. English summary) Zbl 1310.65025 Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2014, No. 1, 87-91 (2014). MSC: 65D32 65D05 41A05 41A20 41A55 PDFBibTeX XMLCite \textit{E. V. Dirvuk} and \textit{K. A. Smotritskiĭ}, Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2014, No. 1, 87--91 (2014; Zbl 1310.65025)
Aryanmehr, S.; Dehghan, M.; Eslahchi, M. R. The weighted \((0,1,\dots, m -2,m)\)-interpolation technique based on the roots of the classical orthogonal polynomials and application in deriving new quadrature rules. (English) Zbl 1324.41001 Acta Math. Hung. 140, No. 4, 341-362 (2013). MSC: 41A05 41A10 65D30 PDFBibTeX XMLCite \textit{S. Aryanmehr} et al., Acta Math. Hung. 140, No. 4, 341--362 (2013; Zbl 1324.41001) Full Text: DOI
Gonska, Heiner; Raşa, Ioan On the sequence of composite Bernstein operators (Sur la suite des opérateurs Bernstein composés). (French. English summary) Zbl 1349.41039 Rev. Anal. Numér. Théor. Approx. 42, No. 2, 151-160 (2013). Reviewer: Daniel Wulbert (La Jolla) MSC: 41A36 41A15 65D30 PDFBibTeX XMLCite \textit{H. Gonska} and \textit{I. Raşa}, Rev. Anal. Numér. Théor. Approx. 42, No. 2, 151--160 (2013; Zbl 1349.41039)
Chowdhary, Kamaljit; Dupuis, Paul Distinguishing and integrating aleatoric and epistemic variation in uncertainty quantification. (English) Zbl 1266.65009 ESAIM, Math. Model. Numer. Anal. 47, No. 3, 635-662 (2013). MSC: 65C50 41A10 60H35 65C30 PDFBibTeX XMLCite \textit{K. Chowdhary} and \textit{P. Dupuis}, ESAIM, Math. Model. Numer. Anal. 47, No. 3, 635--662 (2013; Zbl 1266.65009) Full Text: DOI arXiv
Okayama, Tomoaki; Matsuo, Takayasu; Sugihara, Masaaki Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration. (English) Zbl 1281.65020 Numer. Math. 124, No. 2, 361-394 (2013). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D05 65D30 65D32 41A30 41A55 65G20 PDFBibTeX XMLCite \textit{T. Okayama} et al., Numer. Math. 124, No. 2, 361--394 (2013; Zbl 1281.65020) Full Text: DOI arXiv
Zhang, Qinghui; Banerjee, Uday Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients. (English) Zbl 1254.65124 Adv. Comput. Math. 37, No. 4, 453-492 (2012). MSC: 65N15 65N30 41A30 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{U. Banerjee}, Adv. Comput. Math. 37, No. 4, 453--492 (2012; Zbl 1254.65124) Full Text: DOI
Klein, Georges; Berrut, Jean-Paul Linear barycentric rational quadrature. (English) Zbl 1247.65033 BIT 52, No. 2, 407-424 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65D30 65D05 41A20 41A55 PDFBibTeX XMLCite \textit{G. Klein} and \textit{J.-P. Berrut}, BIT 52, No. 2, 407--424 (2012; Zbl 1247.65033) Full Text: DOI Link
Atkinson, Kendall; Han, Weimin Spherical harmonics and approximations on the unit sphere. An introduction. (English) Zbl 1254.41015 Lecture Notes in Mathematics 2044. Berlin: Springer (ISBN 978-3-642-25982-1/pbk; 978-3-642-25983-8/ebook). ix, 244 p. (2012). Reviewer: Vladimir L. Makarov (Kyïv) MSC: 41A30 33C55 65D30 65R20 PDFBibTeX XMLCite \textit{K. Atkinson} and \textit{W. Han}, Spherical harmonics and approximations on the unit sphere. An introduction. Berlin: Springer (2012; Zbl 1254.41015) Full Text: DOI
Odrzywolek, A. Gaussian integration with rescaling of abscissas and weights. (English) Zbl 1261.65027 Comput. Phys. Commun. 182, No. 12, 2533-2539 (2011). MSC: 65D32 41A55 33E20 65D20 33F05 PDFBibTeX XMLCite \textit{A. Odrzywolek}, Comput. Phys. Commun. 182, No. 12, 2533--2539 (2011; Zbl 1261.65027) Full Text: DOI arXiv
Chen, Ruyun; Liang, Ximing Asymptotic expansions for the Bessel transformations with high oscillations by using the homotopy technique. (English) Zbl 1242.65043 Int. J. Comput. Math. 88, No. 13, 2872-2887 (2011). MSC: 65D20 65T40 65D32 65D30 33E20 33F05 33C10 PDFBibTeX XMLCite \textit{R. Chen} and \textit{X. Liang}, Int. J. Comput. Math. 88, No. 13, 2872--2887 (2011; Zbl 1242.65043) Full Text: DOI
Demiralp, Metin Fluctuation expansion for a univariate function’s matrix representation. (English) Zbl 1244.65073 TWMS J. Pure Appl. Math. 2, No. 2, 176-193 (2011). Reviewer: Costică Moroşanu (Iaşi) MSC: 65J05 46E20 41A20 41A55 47A67 PDFBibTeX XMLCite \textit{M. Demiralp}, TWMS J. Pure Appl. Math. 2, No. 2, 176--193 (2011; Zbl 1244.65073)
Mastroianni, G.; Notarangelo, I. A Lagrange-type projector on the real line. (English) Zbl 1196.41004 Math. Comput. 79, No. 269, 327-352 (2010). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 65D05 65D30 65D32 41A10 PDFBibTeX XMLCite \textit{G. Mastroianni} and \textit{I. Notarangelo}, Math. Comput. 79, No. 269, 327--352 (2010; Zbl 1196.41004) Full Text: DOI
Safouhi, Hassan Bessel, sine and cosine functions and extrapolation methods for computing molecular multi-center integrals. (English) Zbl 1190.65032 Numer. Algorithms 54, No. 1, 141-167 (2010). MSC: 65D20 33E20 33F05 65D32 81V55 PDFBibTeX XMLCite \textit{H. Safouhi}, Numer. Algorithms 54, No. 1, 141--167 (2010; Zbl 1190.65032) Full Text: DOI
Manna, Dante V.; Medina, Luis A.; Moll, Victor H.; Straub, Armin A fast numerical algorithm for the integration of rational functions. (English) Zbl 1190.65041 Numer. Math. 115, No. 2, 289-307 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A20 41A55 33F05 33E20 PDFBibTeX XMLCite \textit{D. V. Manna} et al., Numer. Math. 115, No. 2, 289--307 (2010; Zbl 1190.65041) Full Text: DOI Link
Plaskota, Leszek; Wasilkowski, Grzegorz W. The power of adaptive algorithms for functions with singularities. (English) Zbl 1213.65047 J. Fixed Point Theory Appl. 6, No. 2, 227-248 (2009). MSC: 65D32 65Y20 41A10 41A25 41A55 PDFBibTeX XMLCite \textit{L. Plaskota} and \textit{G. W. Wasilkowski}, J. Fixed Point Theory Appl. 6, No. 2, 227--248 (2009; Zbl 1213.65047) Full Text: DOI
Eslahchi, M. R.; Dehghan, Mehdi Quadrature rules using an arbitrary fixed order of derivatives. (English) Zbl 1186.65027 Comput. Math. Appl. 57, No. 7, 1212-1225 (2009). MSC: 65D30 PDFBibTeX XMLCite \textit{M. R. Eslahchi} and \textit{M. Dehghan}, Comput. Math. Appl. 57, No. 7, 1212--1225 (2009; Zbl 1186.65027) Full Text: DOI
Pucacco, Giuseppe; Rosquist, Kjell Nonstandard separability on the Minkowski plane. (English) Zbl 1284.37046 J. Nonlinear Math. Phys. 16, No. 4, 421-430 (2009). MSC: 37J35 PDFBibTeX XMLCite \textit{G. Pucacco} and \textit{K. Rosquist}, J. Nonlinear Math. Phys. 16, No. 4, 421--430 (2009; Zbl 1284.37046) Full Text: DOI
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus Infinite-dimensional quadrature and approximation of distributions. (English) Zbl 1177.65011 Found. Comput. Math. 9, No. 4, 391-429 (2009). Reviewer: Gong Guanglu (Beijing) MSC: 65C05 60G15 60H10 41A46 PDFBibTeX XMLCite \textit{J. Creutzig} et al., Found. Comput. Math. 9, No. 4, 391--429 (2009; Zbl 1177.65011) Full Text: DOI arXiv
Schmelzer, Thomas; Trefethen, Lloyd N. Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals. (English) Zbl 1186.65092 ETNA, Electron. Trans. Numer. Anal. 29(2007-2008), 1-18 (2007). MSC: 65L05 34A34 65F30 15A16 41A20 30E20 35K58 PDFBibTeX XMLCite \textit{T. Schmelzer} and \textit{L. N. Trefethen}, ETNA, Electron. Trans. Numer. Anal. 29, 1--18 (2007; Zbl 1186.65092) Full Text: EuDML EMIS
Esposito, Joel M.; Kumar, Vijay A state event detection algorithm for numerically simulating hybrid systems with model singularities. (English) Zbl 1281.93066 ACM Trans. Model. Comput. Simul. 17, No. 1, Article No. 1, 26 p. (2007). MSC: 93C65 93C15 65D32 PDFBibTeX XMLCite \textit{J. M. Esposito} and \textit{V. Kumar}, ACM Trans. Model. Comput. Simul. 17, No. 1, Article No. 1, 26 p. (2007; Zbl 1281.93066) Full Text: DOI
Linnemann, Arno Computing the \(L_1\)-norm of continuous-time linear systems. (English) Zbl 1207.93028 SIAM J. Control Optim. 46, No. 6, 2052-2070 (2007). MSC: 93B35 93B40 93C05 15A23 65D30 65D32 65F30 93C15 93C35 93C73 93D09 PDFBibTeX XMLCite \textit{A. Linnemann}, SIAM J. Control Optim. 46, No. 6, 2052--2070 (2007; Zbl 1207.93028) Full Text: DOI
Sidi, Avram; Lubinsky, Doron S. Biorthogonal polynomials and numerical integration formulas for infinite intervals. (English) Zbl 1221.65081 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 2, No. 3-4, 209-226 (2007). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 65D32 65D30 33C45 33C47 40A25 41A20 41A55 65B10 PDFBibTeX XMLCite \textit{A. Sidi} and \textit{D. S. Lubinsky}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 2, No. 3--4, 209--226 (2007; Zbl 1221.65081)
Bailey, D. H.; Borwein, D.; Borwein, J. M.; Crandall, R. E. Hypergeometric forms for Ising-class integrals. (English) Zbl 1134.33016 Exp. Math. 16, No. 3, 257-276 (2007). Reviewer: R. B. Paris (Dundee) MSC: 33E20 33C05 33F05 65D30 PDFBibTeX XMLCite \textit{D. H. Bailey} et al., Exp. Math. 16, No. 3, 257--276 (2007; Zbl 1134.33016) Full Text: DOI Euclid Link
Hesse, Kerstin; Kuo, Frances Y.; Sloan, Ian H. A component-by-component approach to efficient numerical integration over products of spheres. (English) Zbl 1344.65007 J. Complexity 23, No. 1, 25-51 (2007). MSC: 65C05 65D32 PDFBibTeX XMLCite \textit{K. Hesse} et al., J. Complexity 23, No. 1, 25--51 (2007; Zbl 1344.65007) Full Text: DOI
Cools, Ronald; Kuo, Frances Y.; Nuyens, Dirk Constructing embedded lattice rules for multivariate integration. (English) Zbl 1126.65002 SIAM J. Sci. Comput. 28, No. 6, 2162-2188 (2006). MSC: 65C05 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{R. Cools} et al., SIAM J. Sci. Comput. 28, No. 6, 2162--2188 (2006; Zbl 1126.65002) Full Text: DOI
Nuyens, Dirk; Cools, Ronald Fast component-by-component construction of rank-1 lattice rules with a non-prime number of points. (English) Zbl 1092.65002 J. Complexity 22, No. 1, 4-28 (2006). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65D32 65Y20 PDFBibTeX XMLCite \textit{D. Nuyens} and \textit{R. Cools}, J. Complexity 22, No. 1, 4--28 (2006; Zbl 1092.65002) Full Text: DOI
Bouferguene, Ahmed; Safouhi, Hassan A complexity analysis of the Gauss-Bessel quadrature as applied to the evaluation of multi-centre integrals over STFs. (English) Zbl 1087.65022 J. Phys. A, Math. Gen. 39, No. 3, 499-511 (2006). MSC: 65D32 81-04 33E20 65Y20 65D30 81Q05 81T80 PDFBibTeX XMLCite \textit{A. Bouferguene} and \textit{H. Safouhi}, J. Phys. A, Math. Gen. 39, No. 3, 499--511 (2006; Zbl 1087.65022) Full Text: DOI
Skorokhodov, S. L.; Khristoforov, D. V. Overcoming instability in evaluation of generalized hypergeometric integrals in the case of crowding of singular points. (English. Russian original) Zbl 1125.65023 Program. Comput. Softw. 31, No. 3, 149-156 (2005); translation from Programmirovanie 31, No. 3, 59-67 (2005). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 65E05 41A55 30E20 33C60 65D20 33F05 PDFBibTeX XMLCite \textit{S. L. Skorokhodov} and \textit{D. V. Khristoforov}, Program. Comput. Softw. 31, No. 3, 149--156 (2005; Zbl 1125.65023); translation from Programmirovanie 31, No. 3, 59--67 (2005) Full Text: DOI
Taylor, Mark A.; Wingate, Beth A.; Bos, Len P. Several new quadrature formulas for polynomial integration in the triangle. arXiv:math/0501496 Preprint, arXiv:math/0501496 [math.NA] (2005). MSC: 65D30 65D32 65M60 65M70 41A10 BibTeX Cite \textit{M. A. Taylor} et al., ``Several new quadrature formulas for polynomial integration in the triangle'', Preprint, arXiv:math/0501496 [math.NA] (2005) Full Text: arXiv
Lebedev, V. I. Extremal polynomials and methods for the optimization of numerical algorithms. (English. Russian original) Zbl 1074.41022 Sb. Math. 195, No. 10, 1413-1459 (2004); translations from Mat. Sb. 195, No. 10, 21-66 (2004). Reviewer: Hang Tong Lau (Montréal) MSC: 41A50 41A10 65D05 65D30 PDFBibTeX XMLCite \textit{V. I. Lebedev}, Sb. Math. 195, No. 10, 1413--1459 (2004; Zbl 1074.41022) Full Text: DOI
Shojnzhurov, Ts. B.; Urbakhanov, A. V. General form of finite error functionals of cubature formulas in Sobolev space. (Russian. English summary) Zbl 1058.41032 Vychisl. Tekhnol. 9, Spec. Iss. 1, 133-138 (2004). MSC: 41A55 65D32 46E10 PDFBibTeX XMLCite \textit{Ts. B. Shojnzhurov} and \textit{A. V. Urbakhanov}, Vychisl. Tekhnol. 9, 133--138 (2004; Zbl 1058.41032)
Gruber, Peter M. Optimum quantization and its applications. (English) Zbl 1062.94012 Adv. Math. 186, No. 2, 456-497 (2004). Reviewer: Bo’az Klartag (Princeton) MSC: 94A24 53C20 94A34 65D30 65D32 52A27 52B60 PDFBibTeX XMLCite \textit{P. M. Gruber}, Adv. Math. 186, No. 2, 456--497 (2004; Zbl 1062.94012) Full Text: DOI
Schmidt, Karl Michael On the integrability of differential equations by quadratures according to Maximovič. (English) Zbl 1051.34003 J. Comput. Appl. Math. 171, No. 1-2, 393-410 (2004). Reviewer: Werner M. Seiler (Heidelberg) MSC: 34A05 01A70 PDFBibTeX XMLCite \textit{K. M. Schmidt}, J. Comput. Appl. Math. 171, No. 1--2, 393--410 (2004; Zbl 1051.34003) Full Text: DOI
Chen, C.-N. Extended GDQ and related discrete element analysis methods for transient analyses of continuum mechanics problems. (English) Zbl 1049.65075 Comput. Math. Appl. 47, No. 1, 91-99 (2004). MSC: 65L60 34B05 65D25 74S05 PDFBibTeX XMLCite \textit{C. N. Chen}, Comput. Math. Appl. 47, No. 1, 91--99 (2004; Zbl 1049.65075) Full Text: DOI EuDML
Kim, Philsu; Ahn, Soyoung; Choi, U Jin A note on the stability analysis of a quadrature rule of interpolatory type for Cauchy principal value integrals. (English) Zbl 1190.65035 Int. Math. J. 3, No. 8, 825-835 (2003). MSC: 65D30 41A10 65D32 PDFBibTeX XMLCite \textit{P. Kim} et al., Int. Math. J. 3, No. 8, 825--835 (2003; Zbl 1190.65035)
Quarteroni, Alfio; Saleri, Fausto Scientific computing with MATLAB. (English) Zbl 1021.65001 Texts in Computational Science and Engineering. 2. Berlin: Springer. ix, 257 p. (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Hxx 65Dxx 65Fxx 65Lxx 65N06 15-04 12-04 34-04 68W30 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{F. Saleri}, Scientific computing with MATLAB. Berlin: Springer (2003; Zbl 1021.65001)
Gruber, Peter M. Optimal quantization. (Optimale Quantisierung.) (German) Zbl 1032.52001 Math. Semesterber. 49, No. 2, 227-251 (2002). Reviewer: Monika Ludwig (Wien) MSC: 52A40 52A27 52C99 52B60 53C20 65D30 65D32 94A24 94A34 PDFBibTeX XMLCite \textit{P. M. Gruber}, Math. Semesterber. 49, No. 2, 227--251 (2002; Zbl 1032.52001) Full Text: DOI
Natarajan, A.; Mohankumar, N. An accurate method for the generalized Fermi-Dirac integral. (English) Zbl 0985.65012 Comput. Phys. Commun. 137, No. 3, 361-365 (2001). MSC: 65D20 85A15 82D10 33E20 33F05 PDFBibTeX XMLCite \textit{A. Natarajan} and \textit{N. Mohankumar}, Comput. Phys. Commun. 137, No. 3, 361--365 (2001; Zbl 0985.65012) Full Text: DOI
Dubrov, Boris; Komrakov, Boris Symmetries of completely integrable distributions. (English) Zbl 0906.58016 Komrakov, B. P. (ed.) et al., Lie groups and Lie algebras. Their representations, generalisations and applications. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 433, 393-405 (1998). MSC: 37J35 37K10 37C80 PDFBibTeX XMLCite \textit{B. Dubrov} and \textit{B. Komrakov}, Math. Appl., Dordr. 433, 393--405 (1998; Zbl 0906.58016)
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
Szidarovszky, Ferenc; Palusinski, Olgierd An inverse method to determine parasitics of power interconnections in high speed electronics. (English) Zbl 0838.65016 Appl. Math. Comput. 73, No. 2-3, 203-208 (1995). Reviewer: Y.Cherruault (Paris) MSC: 65D32 41A55 41A63 94C12 PDFBibTeX XMLCite \textit{F. Szidarovszky} and \textit{O. Palusinski}, Appl. Math. Comput. 73, No. 2--3, 203--208 (1995; Zbl 0838.65016) Full Text: DOI
González-Vera, Pablo; López, Guillermo; Orive, Ramón; Santos, Juan C. On the convergence of quadrature formulas for complex weight functions. (English) Zbl 0842.41021 J. Math. Anal. Appl. 189, No. 2, 514-532 (1995). Reviewer: H.Stahl (Berlin) MSC: 41A35 65D30 PDFBibTeX XMLCite \textit{P. González-Vera} et al., J. Math. Anal. Appl. 189, No. 2, 514--532 (1995; Zbl 0842.41021) Full Text: DOI
Larcher, Gerhard; Traunfellner, Claudia On the numerical integration of Walsh series by number-theoretic methods. (English) Zbl 0806.65013 Math. Comput. 63, No. 207, 277-291 (1994). Reviewer: D.D.Stancu (Cluj-Napoca) MSC: 65D32 65C05 11K45 PDFBibTeX XMLCite \textit{G. Larcher} and \textit{C. Traunfellner}, Math. Comput. 63, No. 207, 277--291 (1994; Zbl 0806.65013) Full Text: DOI
Cohen, A. M. Three integrals and a series. (English) Zbl 0751.65013 Bull., Inst. Math. Appl. 28, No. 1-2, 22-23 (1992). Reviewer: A.de Castro (Sevilla) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. M. Cohen}, Bull., Inst. Math. Appl. 28, No. 1--2, 22--23 (1992; Zbl 0751.65013)
Lyness, J. N. Extrapolation-based boundary element quadrature. (English) Zbl 0834.65008 Rend. Semin. Mat., Torino, Spec. Iss., 189-203 (1991). MSC: 65D32 65B15 41A55 41A80 41A60 41A63 PDFBibTeX XMLCite \textit{J. N. Lyness}, Rend. Semin. Mat., Torino, 189--203 (1991; Zbl 0834.65008)
Zhu, Changzhong A Gauss-type integration formula. (Chinese. English summary) Zbl 0865.65008 J. Shanghai Univ. Sci. Technol. 12, No. 4, 83-89 (1989). MSC: 65D32 41A55 41A20 PDFBibTeX XMLCite \textit{C. Zhu}, J. Shanghai Univ. Sci. Technol. 12, No. 4, 83--89 (1989; Zbl 0865.65008)
Ioakimidis, N. I.; Pitta, M. S. Remarks on the Gaussian quadrature rule for finite-part integrals with a second-order singularity. (English) Zbl 0646.65018 Comput. Methods Appl. Mech. Eng. 69, No. 3, 325-343 (1988). MSC: 65D32 65R20 30E20 41A55 74R05 45E05 PDFBibTeX XMLCite \textit{N. I. Ioakimidis} and \textit{M. S. Pitta}, Comput. Methods Appl. Mech. Eng. 69, No. 3, 325--343 (1988; Zbl 0646.65018) Full Text: DOI
Nikol’skij, S. M. [Kornejchuk, N. P.] Quadrature formulas. (Kvadraturnye formuly). 4th ed., compl., with an appendix by N. P. Kornejchuk. (Kvadraturnye formuly.) (Russian) Zbl 0638.41024 Moskva: Nauka. 256 p. R. 2.1 (1988). MSC: 41A55 41A10 41A15 41A25 PDFBibTeX XMLCite \textit{S. M. Nikol'skij}, Kvadraturnye formuly (Russian). 4th ed., compl., with an appendix by N. P. Kornejchuk. Moskva: Nauka (1988; Zbl 0638.41024)
Luik, Eberhard; Zeller, Karl Numerische Approximation von Bilinearformen. (Numerical approximation of bilinear forms). (German) Zbl 0635.41025 Result. Math. 11, 374-383 (1987). Reviewer: J.Kofroŭ MSC: 41A55 65D32 PDFBibTeX XMLCite \textit{E. Luik} and \textit{K. Zeller}, Result. Math. 11, 374--383 (1987; Zbl 0635.41025) Full Text: DOI
Bojanov, Borislav D.; Braess, Dietrich; Dyn, Nira Generalized Gaussian quadrature formulas. (English) Zbl 0607.41009 J. Approximation Theory 48, 335-353 (1986). MSC: 41A05 65D30 41A10 41A55 PDFBibTeX XMLCite \textit{B. D. Bojanov} et al., J. Approx. Theory 48, 335--353 (1986; Zbl 0607.41009) Full Text: DOI
Malkus, David S.; Plesha, Michael E. Zero and negative masses in finite element vibration and transient analysis. (English) Zbl 0587.73111 Comput. Methods Appl. Mech. Eng. 59, 281-306 (1986). MSC: 74S05 74H45 74-04 PDFBibTeX XMLCite \textit{D. S. Malkus} and \textit{M. E. Plesha}, Comput. Methods Appl. Mech. Eng. 59, 281--306 (1986; Zbl 0587.73111) Full Text: DOI
Projnov, P. D.; Kirov, G. Kh. Application of evenly distributed matrices in function approximation and approximate integration. (Russian) Zbl 0579.41020 C. R. Acad. Bulg. Sci. 37, 1625-1628 (1984). Reviewer: B.Crstici MSC: 41A45 65D30 65D32 PDFBibTeX XMLCite \textit{P. D. Projnov} and \textit{G. Kh. Kirov}, C. R. Acad. Bulg. Sci. 37, 1625--1628 (1984; Zbl 0579.41020)
DeVore, Ronald A.; Scott, L. Ridgway Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. (English) Zbl 0565.41028 SIAM J. Numer. Anal. 21, 400-412 (1984). Reviewer: R.S.Dahiya MSC: 41A55 41A10 65D30 PDFBibTeX XMLCite \textit{R. A. DeVore} and \textit{L. R. Scott}, SIAM J. Numer. Anal. 21, 400--412 (1984; Zbl 0565.41028) Full Text: DOI
Micchelli, Charles A.; Sharma, A. On a problem of Turan: multiple node Gaussian quadrature. (English) Zbl 0551.41045 Rend. Mat. Appl., VII. Ser. 3, 529-552 (1983). Reviewer: D.Braess MSC: 41A55 65D30 41A20 PDFBibTeX XMLCite \textit{C. A. Micchelli} and \textit{A. Sharma}, Rend. Mat. Appl., VII. Ser. 3, 529--552 (1983; Zbl 0551.41045)
Butzer, Paul L.; Stens, R. L. The Poisson summation formula, Whittaker’s cardinal series and approximate integration. (English) Zbl 0549.94001 Approximation theory, 2nd Conf., Edmonton/Alberta 1982, CMS Conf. Proc. 3, 19-36 (1983). MSC: 94A05 65B99 65D30 65D32 41A30 41A35 PDFBibTeX XML
Acu, Dumitru The Green-Lagrange identity and its applications. I. (Romanian) Zbl 0622.26003 Gaz. Mat., Perfecţ. Metod. Metodol. Mat. Inf. 3, 46-49 (1982). MSC: 26A06 65D32 41A58 PDFBibTeX XMLCite \textit{D. Acu}, Gaz. Mat., Perfecț. Metod. Metodol. Mat. Inf. 3, 46--49 (1982; Zbl 0622.26003)
Kuetz, M. A note on the mean convergence of Lagrange interpolation. (English) Zbl 0485.41001 J. Approximation Theory 35, 77-82 (1982). MSC: 41A05 65D05 65D30 42C05 41A10 PDFBibTeX XMLCite \textit{M. Kuetz}, J. Approx. Theory 35, 77--82 (1982; Zbl 0485.41001) Full Text: DOI
Kuroki, Takemi; Onishi, Kazuei; Ito, Tomoko Boundary element method in two-dimensional thermoelasticity. (English) Zbl 0534.73068 Bull. Inst. Adv. Res. Fukuoka Univ. 55, Nat. Sci. 11, 167-188 (1981). MSC: 74S30 74F05 74S99 65R20 74A15 PDFBibTeX XMLCite \textit{T. Kuroki} et al., Bull. Inst. Adv. Res. Fukuoka Univ., Nat. Sci. 55(11), 167--188 (1981; Zbl 0534.73068)
Varsamov, K.; Yosifov, K.; Haimov, A. On the calculation of the velocity induced by a vortex-source cone. (English) Zbl 0511.73048 Mech. Teor. Stosow. 19, 455-461 (1981). MSC: 74F10 74S30 65D30 74K15 PDFBibTeX XMLCite \textit{K. Varsamov} et al., Mech. Teor. Stosow. 19, 455--461 (1981; Zbl 0511.73048)
Gerasoulis, A.; Srivastav, R. P. A method for the numerical solution of singular integral equations with a principal value integral. (English) Zbl 0476.73065 Int. J. Eng. Sci. 19, 1293-1298 (1981). MSC: 74S30 45E05 65D32 74R05 45L05 PDFBibTeX XMLCite \textit{A. Gerasoulis} and \textit{R. P. Srivastav}, Int. J. Eng. Sci. 19, 1293--1298 (1981; Zbl 0476.73065) Full Text: DOI
Rabinowitz, Philip The exact degree of precision of generalized Gauss Kronrod. (English) Zbl 0479.41014 Numerical integration and related topics, Proc. Semin. Res. Inst. Math. Sci., Kyoto Univ. 1980, RIMS Kokyuroku 401, 48-65 (1980). MSC: 41A25 41A10 65D32 PDFBibTeX XML
Kozlov, G. A. The error in calculating an integral by the Monte-Carlo method using a random code generator with independent digits. (English) Zbl 0455.65022 Theory Probab. Appl. 25, 401-408 (1980). MSC: 65D32 65C05 65C10 PDFBibTeX XMLCite \textit{G. A. Kozlov}, Theory Probab. Appl. 25, 401--408 (1980; Zbl 0455.65022) Full Text: DOI
Arnold, V. Chapitres supplementaires de la théorie des équations différentielles ordinaires. Traduit du russe par Djilali Enbarek. (French) Zbl 0455.34001 Moscou: Editions Mir. 323 p. R. 2.61 (1980). MSC: 34-01 34C25 37G99 34A05 34E05 PDFBibTeX XML
Bureau, F. J. Sur un système d’équations différentielles non linéaires. (French) Zbl 0451.34002 Bull. Cl. Sci., V. Ser., Acad. R. Belg. 66, 280-284 (1980). MSC: 34A05 34A34 PDFBibTeX XMLCite \textit{F. J. Bureau}, Bull. Cl. Sci., V. Sér., Acad. R. Belg. 66, 280--284 (1980; Zbl 0451.34002)
Sidi, Avram Numerical quadrature and nonlinear sequence transformations; unified rules for efficient computation of integrals with algebraic and logarithmic endpoint singularities. (English) Zbl 0441.41021 Math. Comput. 35, 851-874 (1980). MSC: 41A55 65D32 41-04 41A20 40A05 40A25 41A60 PDFBibTeX XMLCite \textit{A. Sidi}, Math. Comput. 35, 851--874 (1980; Zbl 0441.41021) Full Text: DOI
Prager, Milan Universally optimal approximation of functionals. (English) Zbl 0449.41003 Apl. Mat. 24, 406-420 (1979). MSC: 41A10 41A55 65D32 30E20 41A15 41A25 PDFBibTeX XMLCite \textit{M. Prager}, Apl. Mat. 24, 406--420 (1979; Zbl 0449.41003) Full Text: EuDML
Stieglitz, Michael Der Satz von Budan-Fourier für allgemeine polynomiale Monosplines. (German) Zbl 0422.41006 Z. Angew. Math. Mech. 59, 217-223 (1979). MSC: 41A15 65D05 65D30 41A10 PDFBibTeX XMLCite \textit{M. Stieglitz}, Z. Angew. Math. Mech. 59, 217--223 (1979; Zbl 0422.41006) Full Text: DOI
Mkrtumyan, R. R. Über einen Fall der Integrierbarkeit einer linearen Gleichung zweiter Ordnung. (Russian) Zbl 0417.34005 Differ. Uravn. 15, 555-559 (1979). MSC: 34A05 34A30 PDFBibTeX XMLCite \textit{R. R. Mkrtumyan}, Differ. Uravn. 15, 555--559 (1979; Zbl 0417.34005)
Aksenov, E. P. A twice-averaged elliptical restricted three-body problem. (Russian) Zbl 0406.70007 Astron. Zh. 56, 419-426 (1979). MSC: 70F07 70F15 34C29 PDFBibTeX XMLCite \textit{E. P. Aksenov}, Astron. Zh. 56, 419--426 (1979; Zbl 0406.70007)
Kreyszig, Erwin Bernstein polynomials and numerical integration. (English) Zbl 0405.65002 Int. J. Numer. Methods Eng. 14, 292-295 (1979). MSC: 65D30 65D32 41A55 41A10 PDFBibTeX XMLCite \textit{E. Kreyszig}, Int. J. Numer. Methods Eng. 14, 292--295 (1979; Zbl 0405.65002) Full Text: DOI
Bailey, D. E. The effect on the solution of a problem of errors in the calculation. (English) Zbl 0437.65040 Math. Gaz. 62, 157-164 (1978). MSC: 65G50 65D32 68Q25 PDFBibTeX XMLCite \textit{D. E. Bailey}, Math. Gaz. 62, 157--164 (1978; Zbl 0437.65040) Full Text: DOI