Berisha, Nimete Sh.; Berisha, Faton M.; Sadiku, Murat Using an Euler type transform for accelerating convergence of series. (English) Zbl 07907358 Aust. J. Math. Anal. Appl. 21, No. 1, Paper No. 15, 11 p. (2024). MSC: 65B10 40A25 40A05 PDFBibTeX XMLCite \textit{N. Sh. Berisha} et al., Aust. J. Math. Anal. Appl. 21, No. 1, Paper No. 15, 11 p. (2024; Zbl 07907358) Full Text: Link
Xu, Wen-qing; Wang, Sha-sha; Xu, Da-chuan Nonlinear extrapolation estimates of \(\pi\). (English) Zbl 07788845 Acta Math. Appl. Sin., Engl. Ser. 40, No. 1, 91-108 (2024). MSC: 65B10 65B05 60F05 PDFBibTeX XMLCite \textit{W.-q. Xu} et al., Acta Math. Appl. Sin., Engl. Ser. 40, No. 1, 91--108 (2024; Zbl 07788845) Full Text: DOI
Sabitov, Kamil’ Basirovich One way of summing multidimensional series. (Russian. English summary) Zbl 07845757 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 4, 745-752 (2023). MSC: 65B10 PDFBibTeX XMLCite \textit{K. B. Sabitov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 4, 745--752 (2023; Zbl 07845757) Full Text: DOI MNR
Adegoke, Kunle; Frontczak, Robert A series of Ramanujan, two-term dilogarithm identities and some Lucas series. arXiv:2305.14367 Preprint, arXiv:2305.14367 [math.NT] (2023). MSC: 65B10 11B39 BibTeX Cite \textit{K. Adegoke} and \textit{R. Frontczak}, ``A series of Ramanujan, two-term dilogarithm identities and some Lucas series'', Preprint, arXiv:2305.14367 [math.NT] (2023) Full Text: arXiv OA License
Lyamaev, S. Yu. Summation of Poincaré theta series in the Schottky model. (English. Russian original) Zbl 1497.65006 Comput. Math. Math. Phys. 62, No. 7, 1059-1073 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1085-1099 (2022). MSC: 65B10 30F10 PDFBibTeX XMLCite \textit{S. Yu. Lyamaev}, Comput. Math. Math. Phys. 62, No. 7, 1059--1073 (2022; Zbl 1497.65006); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1085--1099 (2022) Full Text: DOI
Akansha Decay estimate of bivariate Chebyshev coefficients for functions with limited smoothness. arXiv:2205.00918 Preprint, arXiv:2205.00918 [math.NA] (2022). MSC: 65B10 BibTeX Cite \textit{Akansha}, ``Decay estimate of bivariate Chebyshev coefficients for functions with limited smoothness'', Preprint, arXiv:2205.00918 [math.NA] (2022) Full Text: arXiv OA License
Xu, Ce Extensions of Euler-type sums and Ramanujan-type sums. (English) Zbl 1492.65005 Kyushu J. Math. 75, No. 2, 295-322 (2021). MSC: 65B10 11M06 11M32 PDFBibTeX XMLCite \textit{C. Xu}, Kyushu J. Math. 75, No. 2, 295--322 (2021; Zbl 1492.65005) Full Text: DOI arXiv
Bull, Jonathan; Engblom, Stefan Distributed and adaptive fast multipole method in three dimensions. (English) Zbl 1473.65004 Commun. Comput. Phys. 30, No. 4, 959-984 (2021). MSC: 65B10 65Y05 65Y10 65Y20 68W15 PDFBibTeX XMLCite \textit{J. Bull} and \textit{S. Engblom}, Commun. Comput. Phys. 30, No. 4, 959--984 (2021; Zbl 1473.65004) Full Text: DOI arXiv
Milovanović, Gradimir V. Summation of slowly convergent series by the Gaussian type of quadratures and application to the calculation of the values of the Riemann zeta function. (English) Zbl 07413780 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 131-150 (2021). MSC: 65B10 65D30 65D32 40A25 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 131--150 (2021; Zbl 07413780) Full Text: Link
Brezinski, C.; Redivo-Zaglia, M. A survey of Shanks’ extrapolation methods and their applications. (English. Russian original) Zbl 1469.65011 Comput. Math. Math. Phys. 61, No. 5, 699-718 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 723-743 (2021). MSC: 65B10 40A05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Comput. Math. Math. Phys. 61, No. 5, 699--718 (2021; Zbl 1469.65011); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 5, 723--743 (2021) Full Text: DOI
Lange, Marko; Oishi, Shin’ichi A note on Dekker’s FastTwoSum algorithm. (English) Zbl 1453.65006 Numer. Math. 145, No. 2, 383-403 (2020). MSC: 65B10 65G50 65Y04 PDFBibTeX XMLCite \textit{M. Lange} and \textit{S. Oishi}, Numer. Math. 145, No. 2, 383--403 (2020; Zbl 1453.65006) Full Text: DOI Link OA License
Lampret, Vito Simple effective estimation of a smooth alternating series. (English) Zbl 07179222 Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1343-1356 (2020). MSC: 65B10 40A25 65B15 PDFBibTeX XMLCite \textit{V. Lampret}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 2, 1343--1356 (2020; Zbl 07179222) Full Text: DOI
Milovanovic, Gradimir Quadrature formulas of Gaussian type for fast summation of trigonometric series. (English) Zbl 1463.65001 Constr. Math. Anal. 2, No. 4, 168-182 (2019). MSC: 65B10 41A55 65D32 PDFBibTeX XMLCite \textit{G. Milovanovic}, Constr. Math. Anal. 2, No. 4, 168--182 (2019; Zbl 1463.65001) Full Text: DOI OA License
Nowak, Rafał Convergence acceleration of alternating series. (English) Zbl 1431.65003 Numer. Algorithms 81, No. 2, 591-608 (2019). MSC: 65B10 65B05 PDFBibTeX XMLCite \textit{R. Nowak}, Numer. Algorithms 81, No. 2, 591--608 (2019; Zbl 1431.65003) Full Text: DOI arXiv
Naidenov, Nikola On the transformations of the logarithmic series. (English) Zbl 1474.65003 God. Sofiĭ. Univ., Fak. Mat. Inform. 105, 3-44 (2018). MSC: 65B10 41A25 41A20 PDFBibTeX XMLCite \textit{N. Naidenov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 105, 3--44 (2018; Zbl 1474.65003) Full Text: Link
Boldo, Sylvie; Graillat, Stef; Muller, Jean-Michel On the robustness of the 2Sum and Fast2Sum algorithms. (English) Zbl 1484.65003 ACM Trans. Math. Softw. 44, No. 1, Article No. 4, 14 p. (2017). MSC: 65B10 PDFBibTeX XMLCite \textit{S. Boldo} et al., ACM Trans. Math. Softw. 44, No. 1, Article No. 4, 14 p. (2017; Zbl 1484.65003) Full Text: DOI Link
Annamalai, Chinnaraji Computational modelling for the formation of geometric series using Annamalai computing method. (English) Zbl 1391.65005 Jñānābha 47, No. 2, 327-330 (2017). MSC: 65B10 PDFBibTeX XMLCite \textit{C. Annamalai}, Jñānābha 47, No. 2, 327--330 (2017; Zbl 1391.65005)
Nowak, Rafał; Woźny, Paweł New properties of a certain method of summation of generalized hypergeometric series. (English) Zbl 1382.65008 Numer. Algorithms 76, No. 2, 377-391 (2017). Reviewer: Antonio López Carmona (Granada) MSC: 65B10 65D20 65B05 33C20 33F05 PDFBibTeX XMLCite \textit{R. Nowak} and \textit{P. Woźny}, Numer. Algorithms 76, No. 2, 377--391 (2017; Zbl 1382.65008) Full Text: DOI arXiv
Adegoke, Kunle Sums of arctangents and sums of products of arctangents. arXiv:1710.10156 Preprint, arXiv:1710.10156 [math.NT] (2017). MSC: 65B10 BibTeX Cite \textit{K. Adegoke}, ``Sums of arctangents and sums of products of arctangents'', Preprint, arXiv:1710.10156 [math.NT] (2017) Full Text: arXiv OA License
Jiang, Hao; Graillat, Stef; Barrio, Roberto; Yang, Canqun Accurate, validated and fast evaluation of elementary symmetric functions and its application. (English) Zbl 1410.65006 Appl. Math. Comput. 273, 1160-1178 (2016). MSC: 65B10 05E05 PDFBibTeX XMLCite \textit{H. Jiang} et al., Appl. Math. Comput. 273, 1160--1178 (2016; Zbl 1410.65006) Full Text: DOI
Milovanović, Gradimir V. On summation/integration methods for slowly convergent series. (English) Zbl 1399.65001 Stud. Univ. Babeș-Bolyai, Math. 61, No. 3, 359-375 (2016). MSC: 65B10 65D30 65D32 40A25 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Stud. Univ. Babeș-Bolyai, Math. 61, No. 3, 359--375 (2016; Zbl 1399.65001)
Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. (English) Zbl 1352.65005 J. Comput. Phys. 307, 446-459 (2016). MSC: 65B10 65R10 PDFBibTeX XMLCite \textit{E. Cancès} et al., J. Comput. Phys. 307, 446--459 (2016; Zbl 1352.65005) Full Text: DOI
Guttmann, Anthony J. Series extension: predicting approximate series coefficients from a finite number of exact coefficients. (English) Zbl 1354.65009 J. Phys. A, Math. Theor. 49, No. 41, Article ID 415002, 27 p. (2016). MSC: 65B10 82B05 05A15 40A05 PDFBibTeX XMLCite \textit{A. J. Guttmann}, J. Phys. A, Math. Theor. 49, No. 41, Article ID 415002, 27 p. (2016; Zbl 1354.65009) Full Text: DOI arXiv
Chaillat, Stéphanie; Collino, Francis A wideband fast multipole method for the Helmholtz kernel: theoretical developments. (English) Zbl 1443.65005 Comput. Math. Appl. 70, No. 4, 660-678 (2015). MSC: 65B10 78M16 PDFBibTeX XMLCite \textit{S. Chaillat} and \textit{F. Collino}, Comput. Math. Appl. 70, No. 4, 660--678 (2015; Zbl 1443.65005) Full Text: DOI
Brink, David Nilakantha’s accelerated series for \(\pi \). (English) Zbl 1339.65004 Acta Arith. 171, No. 4, 293-308 (2015). MSC: 65B10 40A25 PDFBibTeX XMLCite \textit{D. Brink}, Acta Arith. 171, No. 4, 293--308 (2015; Zbl 1339.65004) Full Text: DOI OA License
Borghi, Riccardo; Weniger, Ernst Joachim Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation. (English) Zbl 1325.65008 Appl. Numer. Math. 94, 149-178 (2015). MSC: 65B10 41A21 40D05 40G99 PDFBibTeX XMLCite \textit{R. Borghi} and \textit{E. J. Weniger}, Appl. Numer. Math. 94, 149--178 (2015; Zbl 1325.65008) Full Text: DOI arXiv
Hanrot, G.; Zimmermann, P. Corrigendum to “A long note on Mulders’ short product”. (English) Zbl 1294.65006 J. Symb. Comput. 66, 111-112 (2015). MSC: 65B10 12Y05 PDFBibTeX XMLCite \textit{G. Hanrot} and \textit{P. Zimmermann}, J. Symb. Comput. 66, 111--112 (2015; Zbl 1294.65006) Full Text: DOI
Adegoke, Kunle On generalized harmonic numbers, Tornheim double series and linear Euler sums. arXiv:1511.03079 Preprint, arXiv:1511.03079 [math.NT] (2015). MSC: 65B10 11B99 BibTeX Cite \textit{K. Adegoke}, ``On generalized harmonic numbers, Tornheim double series and linear Euler sums'', Preprint, arXiv:1511.03079 [math.NT] (2015) Full Text: arXiv OA License
Milovanović, Gradimir V. Methods for the computation of slowly convergent series and finite sums based on Gauss-Christoffel quadratures. (English) Zbl 1379.65002 Jaen J. Approx. 6, No. 1, 37-68 (2014). MSC: 65B10 65B15 65D32 41A55 40A25 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Jaen J. Approx. 6, No. 1, 37--68 (2014; Zbl 1379.65002)
Michiels, Bart; Bogaert, Ignace; Fostier, Jan; De Zutter, Daniël A well-scaling parallel algorithm for the computation of the translation operator in the MLFMA. (English) Zbl 1372.65004 IEEE Trans. Antennas Propag. 62, No. 5, 2679-2687 (2014). MSC: 65B10 65R10 65Y05 68W10 PDFBibTeX XMLCite \textit{B. Michiels} et al., IEEE Trans. Antennas Propag. 62, No. 5, 2679--2687 (2014; Zbl 1372.65004) Full Text: DOI
Zhang, Wenlong; Zhang, Ying New formulae of BBP-type modulo 6. (English) Zbl 1404.65004 Quaest. Math. 37, No. 3, 393-400 (2014). MSC: 65B10 40C10 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{Y. Zhang}, Quaest. Math. 37, No. 3, 393--400 (2014; Zbl 1404.65004) Full Text: DOI
Gumerov, Nail A.; Duraiswami, Ramani A method to compute periodic sums. (English) Zbl 1349.65003 J. Comput. Phys. 272, 307-326 (2014). MSC: 65B10 65D30 65Y10 PDFBibTeX XMLCite \textit{N. A. Gumerov} and \textit{R. Duraiswami}, J. Comput. Phys. 272, 307--326 (2014; Zbl 1349.65003) Full Text: DOI arXiv
Holm, Marcus; Engblom, Stefan; Goude, Anders; Holmgren, Sverker Dynamic autotuning of adaptive fast multipole methods on hybrid multicore CPU and GPU systems. (English) Zbl 1305.65008 SIAM J. Sci. Comput. 36, No. 4, C376-C399 (2014). MSC: 65B10 65Y05 65Y10 PDFBibTeX XMLCite \textit{M. Holm} et al., SIAM J. Sci. Comput. 36, No. 4, C376--C399 (2014; Zbl 1305.65008) Full Text: DOI arXiv
Del Rey Fernández, David C.; Boom, Pieter D.; Zingg, David W. A generalized framework for nodal first derivative summation-by-parts operators. (English) Zbl 1311.65002 J. Comput. Phys. 266, 214-239 (2014). MSC: 65B10 PDFBibTeX XMLCite \textit{D. C. Del Rey Fernández} et al., J. Comput. Phys. 266, 214--239 (2014; Zbl 1311.65002) Full Text: DOI
Nimbran, Amrik Singh Euler’s constant, harmonic series and related infinite sums. (English) Zbl 1535.65006 Math. Stud. 82, No. 1-4, 177-182 (2013). MSC: 65B10 40A05 PDFBibTeX XMLCite \textit{A. S. Nimbran}, Math. Stud. 82, No. 1--4, 177--182 (2013; Zbl 1535.65006)
Syromyasov, A. O. Summation of series of harmonic functions. (Russian. English summary) Zbl 1299.65001 Zh. Sredn. Mat. Obshch. 15, No. 2, 96-102 (2013). Reviewer: Artyom Andronov (Saransk) MSC: 65B10 35J05 35C10 31A05 65N12 65N38 PDFBibTeX XMLCite \textit{A. O. Syromyasov}, Zh. Sredn. Mat. Obshch. 15, No. 2, 96--102 (2013; Zbl 1299.65001)
Jennings, Emily; Moore, Charles N.; Muñiz, Daniel; Toth, Ashley The \(\delta\)-squared process and Fourier series of functions with multiple jumps. (English) Zbl 1278.65004 Int. J. Pure Appl. Math. 88, No. 4, 483-497 (2013). MSC: 65B10 65T40 42A20 PDFBibTeX XMLCite \textit{E. Jennings} et al., Int. J. Pure Appl. Math. 88, No. 4, 483--497 (2013; Zbl 1278.65004) Full Text: DOI Link
Goryslavets’, T. V.; Zaderej, P. V.; Nesterenko, O. B. On regularity of linear methods of summation of Taylor series. (Ukrainian. English summary) Zbl 1289.65001 Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 105-112 (2012). MSC: 65B10 40C05 PDFBibTeX XMLCite \textit{T. V. Goryslavets'} et al., Zb. Pr. Inst. Mat. NAN Ukr. 9, No. 2, 105--112 (2012; Zbl 1289.65001)
Mezzarobba, Marc A note on the space complexity of fast D-finite function evaluation. (English) Zbl 1416.65014 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 14th international workshop, CASC 2012, Maribor, Slovenia, September 3–6, 2012. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 7442, 212-223 (2012). MSC: 65B10 65Y05 65Y20 PDFBibTeX XMLCite \textit{M. Mezzarobba}, Lect. Notes Comput. Sci. 7442, 212--223 (2012; Zbl 1416.65014) Full Text: DOI arXiv
Messner, Matthias; Schanz, Martin; Darve, Eric Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation. (English) Zbl 1239.65002 J. Comput. Phys. 231, No. 4, 1175-1196 (2012). MSC: 65B10 65D05 PDFBibTeX XMLCite \textit{M. Messner} et al., J. Comput. Phys. 231, No. 4, 1175--1196 (2012; Zbl 1239.65002) Full Text: DOI
Estrada, Ricardo; Vindas, Jasson Exterior Euler summability. (English) Zbl 1244.65001 J. Math. Anal. Appl. 388, No. 1, 48-60 (2012). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 40A05 PDFBibTeX XMLCite \textit{R. Estrada} and \textit{J. Vindas}, J. Math. Anal. Appl. 388, No. 1, 48--60 (2012; Zbl 1244.65001) Full Text: DOI Link
Ramm, A. G. Series that can be differentiated term-wise \(m\) times if the function is \(m\)-smooth. (English) Zbl 1291.65008 Math. Aeterna 1, No. 3, 137-148 (2011). MSC: 65B10 42A20 PDFBibTeX XMLCite \textit{A. G. Ramm}, Math. Æterna 1, No. 3, 137--148 (2011; Zbl 1291.65008)
Runovska, M. K. Convergence of series of Gaussian Markov sequences. (English. Russian original) Zbl 1253.65003 Theory Probab. Math. Stat. 83, 149-162 (2011); translation from Teor. Jmovirn. Mat. Stat. 83, 125-137 (2010). Reviewer: Aleksander Iksanov (Kiev) MSC: 65B10 60F15 60G50 60G15 40A05 PDFBibTeX XMLCite \textit{M. K. Runovska}, Theory Probab. Math. Stat. 83, 149--162 (2011; Zbl 1253.65003); translation from Teor. Jmovirn. Mat. Stat. 83, 125--137 (2010) Full Text: DOI
Homeier, Herbert H. H. Series prediction based on algebraic approximants. (English) Zbl 1242.65004 ISRN Appl. Math. 2011, Article ID 958968, 7 p. (2011). MSC: 65B10 65E05 30B10 PDFBibTeX XMLCite \textit{H. H. H. Homeier}, ISRN Appl. Math. 2011, Article ID 958968, 7 p. (2011; Zbl 1242.65004) Full Text: DOI arXiv
Krasny, Robert; Wang, Lei Fast evaluation of multiquadric RBF sums by a Cartesian treecode. (English) Zbl 1232.65006 SIAM J. Sci. Comput. 33, No. 5, 2341-2355 (2011). MSC: 65B10 41A58 41A63 PDFBibTeX XMLCite \textit{R. Krasny} and \textit{L. Wang}, SIAM J. Sci. Comput. 33, No. 5, 2341--2355 (2011; Zbl 1232.65006) Full Text: DOI
Mishchenko, E. V. Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory. (English. Russian original) Zbl 1241.65003 Russ. Math. 55, No. 1, 19-32 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 1, 24-38 (2011). MSC: 65B10 65D20 42C40 65T60 65D07 PDFBibTeX XMLCite \textit{E. V. Mishchenko}, Russ. Math. 55, No. 1, 19--32 (2011; Zbl 1241.65003); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2011, No. 1, 24--38 (2011) Full Text: DOI
Ma, X. R.; Hsu, L. C. A further investigation of a pair of series transformation formulas with applications. (English) Zbl 1229.65004 J. Difference Equ. Appl. 17, No. 10, 1519-1535 (2011). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 PDFBibTeX XMLCite \textit{X. R. Ma} and \textit{L. C. Hsu}, J. Difference Equ. Appl. 17, No. 10, 1519--1535 (2011; Zbl 1229.65004) Full Text: DOI
Paszkowski, Stefan Untypical methods of convergence acceleration. (English) Zbl 1216.65002 Numer. Algorithms 56, No. 2, 185-209 (2011). Reviewer: Jacek Gilewicz (Marseille) MSC: 65B10 65D20 33C20 33E05 PDFBibTeX XMLCite \textit{S. Paszkowski}, Numer. Algorithms 56, No. 2, 185--209 (2011; Zbl 1216.65002) Full Text: DOI
Sergeyev, Ya. D. Methodology of numerical computations with infinities and infinitesimals. (English) Zbl 1211.65002 Rend. Semin. Mat., Univ. Politec. Torino 68, No. 2, 95-113 (2010). MSC: 65B10 65C50 60A10 PDFBibTeX XMLCite \textit{Ya. D. Sergeyev}, Rend. Semin. Mat., Univ. Politec. Torino 68, No. 2, 95--113 (2010; Zbl 1211.65002) Full Text: arXiv
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M. Combination of nonstandard schemes and Richardson’s extrapolation to improve the numerical solution of population models. (English) Zbl 1205.65015 Math. Comput. Modelling 52, No. 7-8, 1030-1036 (2010). MSC: 65B10 65N06 92D40 PDFBibTeX XMLCite \textit{G. González-Parra} et al., Math. Comput. Modelling 52, No. 7--8, 1030--1036 (2010; Zbl 1205.65015) Full Text: DOI
Woźny, Paweł Efficient algorithm for summation of some slowly convergent series. (English) Zbl 1215.65006 Appl. Numer. Math. 60, No. 12, 1442-1453 (2010). Reviewer: Peter Wynn (Zacatecas) MSC: 65B10 PDFBibTeX XMLCite \textit{P. Woźny}, Appl. Numer. Math. 60, No. 12, 1442--1453 (2010; Zbl 1215.65006) Full Text: DOI
Hielscher, Ralf; Prestin, Jürgen; Vollrath, Antje Fast summation of functions on the rotation group. (English) Zbl 1221.65007 Math. Geosci. 42, No. 7, 773-794 (2010). Reviewer: Jacek Gilewicz (Marseille) MSC: 65B10 65D15 65Y20 PDFBibTeX XMLCite \textit{R. Hielscher} et al., Math. Geosci. 42, No. 7, 773--794 (2010; Zbl 1221.65007) Full Text: DOI
Moore, Charles N. Acceleration of Fourier series. (English) Zbl 1228.65006 J. Anal. 17, 41-60 (2009). Reviewer: Ferenc Móricz (Szeged) MSC: 65B10 65T40 42A20 PDFBibTeX XMLCite \textit{C. N. Moore}, J. Anal. 17, 41--60 (2009; Zbl 1228.65006)
Matejíčka, Ladislav Some remarks on \(I\)-faster convergent infinite series. (English) Zbl 1212.65002 Math. Bohem. 134, No. 3, 275-284 (2009). MSC: 65B10 PDFBibTeX XMLCite \textit{L. Matejíčka}, Math. Bohem. 134, No. 3, 275--284 (2009; Zbl 1212.65002) Full Text: DOI EuDML
Vîlceanu, Radu-Octavian On the series of Kempner-Irwin type. (English) Zbl 1212.65003 An. Univ. Craiova, Ser. Mat. Inf. 36, No. 1, 112-121 (2009). MSC: 65B10 40A05 PDFBibTeX XMLCite \textit{R.-O. Vîlceanu}, An. Univ. Craiova, Ser. Mat. Inf. 36, No. 1, 112--121 (2009; Zbl 1212.65003)
Fong, William; Darve, Eric The black-box fast multipole method. (English) Zbl 1177.65009 J. Comput. Phys. 228, No. 23, 8712-8725 (2009). MSC: 65B10 65D05 65F20 PDFBibTeX XMLCite \textit{W. Fong} and \textit{E. Darve}, J. Comput. Phys. 228, No. 23, 8712--8725 (2009; Zbl 1177.65009) Full Text: DOI
Woźny, Paweł; Nowak, Rafał Method of summation of some slowly convergent series. (English) Zbl 1189.65013 Appl. Math. Comput. 215, No. 4, 1622-1645 (2009). Reviewer: Peter Wynn (Zacatecas) MSC: 65B10 65B05 40A15 40A35 PDFBibTeX XMLCite \textit{P. Woźny} and \textit{R. Nowak}, Appl. Math. Comput. 215, No. 4, 1622--1645 (2009; Zbl 1189.65013) Full Text: DOI
van Gorder, Robert A. Computation of certain infinite series of the form \(\sum f(n)n^k \) for arbitrary real-valued \(k\). (English) Zbl 1177.65010 Appl. Math. Comput. 215, No. 3, 1209-1216 (2009). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 PDFBibTeX XMLCite \textit{R. A. van Gorder}, Appl. Math. Comput. 215, No. 3, 1209--1216 (2009; Zbl 1177.65010) Full Text: DOI
Pan, V. Y.; Murphy, B.; Qian, G.; Rosholt, R. E. A new error-free floating-point summation algorithm. (English) Zbl 1165.65301 Comput. Math. Appl. 57, No. 4, 560-564 (2009). MSC: 65B10 65G50 PDFBibTeX XMLCite \textit{V. Y. Pan} et al., Comput. Math. Appl. 57, No. 4, 560--564 (2009; Zbl 1165.65301) Full Text: DOI
Hassani, Mehdi Identities by \(L\)-summing method. II. (English) Zbl 1188.65002 Int. J. Math. Comb. 2, 78-86 (2008). MSC: 65B10 33F10 65D20 11M06 33B15 PDFBibTeX XMLCite \textit{M. Hassani}, Int. J. Math. Comb. 2008, No. 2, 78--86 (2008; Zbl 1188.65002)
Meronen, O.; Tammeraid, I. Generalized linear methods and gap Tauberian remainder theorems. (English) Zbl 1155.65005 Math. Model. Anal. 13, No. 2, 223-232 (2008). Reviewer: Jacek Gilewicz (Marseille) MSC: 65B10 40A05 40A25 PDFBibTeX XMLCite \textit{O. Meronen} and \textit{I. Tammeraid}, Math. Model. Anal. 13, No. 2, 223--232 (2008; Zbl 1155.65005)
Vepštas, Linas An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions. (English) Zbl 1157.65005 Numer. Algorithms 47, No. 3, 211-252 (2008). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 33F05 11G35 33B30 11Y35 PDFBibTeX XMLCite \textit{L. Vepštas}, Numer. Algorithms 47, No. 3, 211--252 (2008; Zbl 1157.65005) Full Text: DOI arXiv
Cvijović, Djurdje Closed-form summation of two families of finite tangent sums. (English) Zbl 1134.65003 Appl. Math. Comput. 196, No. 2, 661-665 (2008). Reviewer: Jacek Gilewicz (Marseille) MSC: 65B10 11B68 42A24 PDFBibTeX XMLCite \textit{D. Cvijović}, Appl. Math. Comput. 196, No. 2, 661--665 (2008; Zbl 1134.65003) Full Text: DOI
Paszkowski, Stefan Convergence acceleration of orthogonal series. (English) Zbl 1134.65004 Numer. Algorithms 47, No. 1, 35-62 (2008). MSC: 65B10 PDFBibTeX XMLCite \textit{S. Paszkowski}, Numer. Algorithms 47, No. 1, 35--62 (2008; Zbl 1134.65004) Full Text: DOI
He, Tian-Xiao; Hsu, Leetsch C.; Shiue, Peter J.-S. Symbolization of generating functions; an application of the Mullin-Rota theory of binomial enumeration. (English) Zbl 1155.65300 Comput. Math. Appl. 54, No. 5, 664-678 (2007). MSC: 65B10 05A15 39A70 41A60 PDFBibTeX XMLCite \textit{T.-X. He} et al., Comput. Math. Appl. 54, No. 5, 664--678 (2007; Zbl 1155.65300) Full Text: DOI
Cvijović, Djurdje; Srivastava, H. M. Summation of a family of finite secant sums. (English) Zbl 1124.65001 Appl. Math. Comput. 190, No. 1, 590-598 (2007). Reviewer: Jacek Gilewicz (Marseille) MSC: 65B10 PDFBibTeX XMLCite \textit{D. Cvijović} and \textit{H. M. Srivastava}, Appl. Math. Comput. 190, No. 1, 590--598 (2007; Zbl 1124.65001) Full Text: DOI
Eisinberg, A.; Fedele, G. Accurate floating-point summation: a new approach. (English) Zbl 1123.65003 Appl. Math. Comput. 189, No. 1, 410-424 (2007). MSC: 65B10 65G50 PDFBibTeX XMLCite \textit{A. Eisinberg} and \textit{G. Fedele}, Appl. Math. Comput. 189, No. 1, 410--424 (2007; Zbl 1123.65003) Full Text: DOI
Thukral, R. A new method for accelerating convergence of alternating series. (English) Zbl 1114.65300 Appl. Math. Comput. 187, No. 2, 1502-1510 (2007). MSC: 65B10 PDFBibTeX XMLCite \textit{R. Thukral}, Appl. Math. Comput. 187, No. 2, 1502--1510 (2007; Zbl 1114.65300) Full Text: DOI
Hassani, Mehdi; Jafari, Zahra Identities by Generalized \(L-\)Summing Method. arXiv:0705.4000 Preprint, arXiv:0705.4000 [math.NA] (2007). MSC: 65B10 BibTeX Cite \textit{M. Hassani} and \textit{Z. Jafari}, ``Identities by Generalized $L-$Summing Method'', Preprint, arXiv:0705.4000 [math.NA] (2007) Full Text: arXiv
Hespel, Christiane; Martig, Cyrille Noncommutative computing and rational approximation of multivariate series. (English) Zbl 1193.65002 Dumas, Jean-Guillaume (ed.), Transgressive computing 2006. A conference in honor of Jean Della Dora, Granada, España, April 24–26, 2006. Proceedings. Granada: Universidad de Granada (ISBN 84-689-8381-0/pbk). 271-285 (2006). MSC: 65B10 40B05 40A05 PDFBibTeX XMLCite \textit{C. Hespel} and \textit{C. Martig}, in: Transgressive computing 2006. A conference in honor of Jean Della Dora, Granada, España, April 24--26, 2006. Proceedings. Granada: Universidad de Granada. 271--285 (2006; Zbl 1193.65002)
Thukral, R. Introduction to the determinantal formulae for the Levin-type algorithms. (English) Zbl 1155.65301 Appl. Math. Comput. 181, No. 1, 516-526 (2006). MSC: 65B10 PDFBibTeX XMLCite \textit{R. Thukral}, Appl. Math. Comput. 181, No. 1, 516--526 (2006; Zbl 1155.65301) Full Text: DOI
Coffey, Mark W. New summation relations for the Stieltjes constants. (English) Zbl 1149.65302 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2073, 2563-2573 (2006). MSC: 65B10 PDFBibTeX XMLCite \textit{M. W. Coffey}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2073, 2563--2573 (2006; Zbl 1149.65302) Full Text: DOI
He, Tian-Xiao; Hsu, Leetsch C.; Shiue, Peter J.-S. Convergence of the summation formulas constructed by using a symbolic operator approach. (English) Zbl 1228.65005 Comput. Math. Appl. 51, No. 3-4, 441-450 (2006). MSC: 65B10 30B10 PDFBibTeX XMLCite \textit{T.-X. He} et al., Comput. Math. Appl. 51, No. 3--4, 441--450 (2006; Zbl 1228.65005) Full Text: DOI
Hassani, Mehdi Identities by \(L\)-summing method. (English) Zbl 1099.65003 Int. J. Math. Comput. Sci. 1, No. 2, 165-172 (2006). Reviewer: Jacek Gilewicz (Marseille) MSC: 65B10 11S40 33B15 11M06 11Y16 33F05 65D20 65A05 PDFBibTeX XMLCite \textit{M. Hassani}, Int. J. Math. Comput. Sci. 1, No. 2, 165--172 (2006; Zbl 1099.65003)
Klein, A. A generalized Kahan-Babuška-summation-algorithm. (English) Zbl 1089.65004 Computing 76, No. 3-4, 279-293 (2006). Reviewer: Nikolai L. Vulchanov (Warsaw) MSC: 65B10 65G30 PDFBibTeX XMLCite \textit{A. Klein}, Computing 76, No. 3--4, 279--293 (2006; Zbl 1089.65004) Full Text: DOI
He, Tian-xiao; Hsu, L. C.; Shiue, P. J.-S. A pair of general series-transformation formulas. (English) Zbl 1094.65002 J. Math. Res. Expo. 25, No. 4, 582 (2005). Reviewer: Jesus Illán González (Vigo) MSC: 65B10 30B10 PDFBibTeX XMLCite \textit{T.-x. He} et al., J. Math. Res. Expo. 25, No. 4, 582 (2005; Zbl 1094.65002)
Uzer, A.; Ege, T. On the convergence acceleration of slowly convergent sums involving oscillating terms. (English) Zbl 1078.65516 Computing 75, No. 4, 311-318 (2005). MSC: 65B10 40A05 42A20 65T40 PDFBibTeX XMLCite \textit{A. Uzer} and \textit{T. Ege}, Computing 75, No. 4, 311--318 (2005; Zbl 1078.65516) Full Text: DOI
Zhu, Yong-Kang; Yong, Jun-Hai; Zheng, Guo-Qin A new distillation algorithm for floating-point summation. (English) Zbl 1119.65300 SIAM J. Sci. Comput. 26, No. 6, 2066-2078 (2005). MSC: 65B10 65G50 PDFBibTeX XMLCite \textit{Y.-K. Zhu} et al., SIAM J. Sci. Comput. 26, No. 6, 2066--2078 (2005; Zbl 1119.65300) Full Text: DOI Link
Buslenko, A. S.; Ikramov, Kh. D. On the multiplication of the scalar and the matrix power series. (Russian, English) Zbl 1077.65004 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 3-7 (2005); translation in Comput. Math. Math. Phys. 45, No. 1, 1-4 (2005). Reviewer: Andrei Zemskov (Moskva) MSC: 65B10 30B10 65T50 PDFBibTeX XMLCite \textit{A. S. Buslenko} and \textit{Kh. D. Ikramov}, Zh. Vychisl. Mat. Mat. Fiz. 45, No. 1, 3--7 (2005; Zbl 1077.65004); translation in Comput. Math. Math. Phys. 45, No. 1, 1--4 (2005)
Kondratieva, Margo; Sadov, Sergey Markov’s transformation of series and the WZ method. (English) Zbl 1067.65004 Adv. Appl. Math. 34, No. 2, 393-407 (2005). MSC: 65B10 33D15 PDFBibTeX XMLCite \textit{M. Kondratieva} and \textit{S. Sadov}, Adv. Appl. Math. 34, No. 2, 393--407 (2005; Zbl 1067.65004) Full Text: DOI arXiv
He, T. X.; Hsu, L. C.; Shiue, P. J.-S.; Torney, D. C. A symbolic operator approach to several summation formulas for power series. (English) Zbl 1064.65002 J. Comput. Appl. Math. 177, No. 1, 17-33 (2005). Reviewer: Jesus Illán González (Vigo) MSC: 65B10 30B10 PDFBibTeX XMLCite \textit{T. X. He} et al., J. Comput. Appl. Math. 177, No. 1, 17--33 (2005; Zbl 1064.65002) Full Text: DOI Link
El-Mikkawy, Moawwad A note on the reducibility of special infinite series. (English) Zbl 1061.65001 Appl. Math. Comput. 162, No. 1, 311-315 (2005). MSC: 65B10 68W30 PDFBibTeX XMLCite \textit{M. El-Mikkawy}, Appl. Math. Comput. 162, No. 1, 311--315 (2005; Zbl 1061.65001) Full Text: DOI
Pemantle, Robin A probabilistic model for the degree of the cancellation polynomial in Gosper’s algorithm. (English) Zbl 1090.65003 J. Algorithms 54, No. 1, 58-71 (2005). MSC: 65B10 60F05 60F17 PDFBibTeX XMLCite \textit{R. Pemantle}, J. Algorithms 54, No. 1, 58--71 (2005; Zbl 1090.65003) Full Text: DOI arXiv
Hanrot, G.; Zimmermann, P. A long note on Mulders’ short product. (English) Zbl 1161.65301 J. Symb. Comput. 37, No. 3, 391-401 (2004); erratum ibid. 66, 111-112 (2015). MSC: 65B10 12Y05 PDFBibTeX XMLCite \textit{G. Hanrot} and \textit{P. Zimmermann}, J. Symb. Comput. 37, No. 3, 391--401 (2004; Zbl 1161.65301) Full Text: DOI Link
Liang, Wanzhen; Baer, Roi; Saravanan, Chandra; Shao, Yihan; Bell, Alexis T.; Head-Gordon, Martin Fast methods for resumming matrix polynomials and Chebyshev matrix polynomials. (English) Zbl 1039.65002 J. Comput. Phys. 194, No. 2, 575-587 (2004). MSC: 65B10 65D20 33F05 33C45 PDFBibTeX XMLCite \textit{W. Liang} et al., J. Comput. Phys. 194, No. 2, 575--587 (2004; Zbl 1039.65002) Full Text: DOI
Heinrich, Stefan; Kwas, Marek; Woźniakowski, Henryk Quantum Boolean summation with repetitions in the worst-average setting. (English) Zbl 1044.65003 Niederreiter, Harald (ed.), Monte Carlo and quasi-Monte Carlo methods 2002. Proceedings of a conference, National University of Singapore, Republic of Singapore, November 25–28, 2002. Berlin: Springer (ISBN 3-540-20466-0/pbk). 243-258 (2004). MSC: 65B10 PDFBibTeX XMLCite \textit{S. Heinrich} et al., in: Monte Carlo and quasi-Monte Carlo methods 2002. Proceedings of a conference, National University of Singapore, Republic of Singapore, November 25--28, 2002. Berlin: Springer. 243--258 (2004; Zbl 1044.65003) Full Text: arXiv
Sofo, Anthony Computational techniques for the summation of series. (English) Zbl 1059.65002 New York, NY: Kluwer Academic/Plenum Publishers (ISBN 0-306-47805-6/hbk). xvi, 189 p. (2003). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 65D20 33C05 33C20 33E20 33F05 PDFBibTeX XMLCite \textit{A. Sofo}, Computational techniques for the summation of series. New York, NY: Kluwer Academic/Plenum Publishers (2003; Zbl 1059.65002) Backlinks: MO
Khan, M. A. H.; Tourigny, Y.; Drazin, P. G. A case study of methods of series summation: Kelvin–Helmholtz instability of finite amplitude. (English) Zbl 1018.65001 J. Comput. Phys. 187, No. 1, 212-229 (2003). MSC: 65B10 76B47 76M25 PDFBibTeX XMLCite \textit{M. A. H. Khan} et al., J. Comput. Phys. 187, No. 1, 212--229 (2003; Zbl 1018.65001) Full Text: DOI
Zhang, Lilun; Song, Junqinag; Li, Xiaomei Two new methods for the evaluation of Chebyshev series on multiple points. (English. Chinese original) Zbl 1026.65001 Chin. J. Numer. Math. Appl. 24, No. 3, 61-66 (2002); translation from J. Numer. Methods Comput. Appl. 23 2002, No. 2, 105-110 (2002). MSC: 65B10 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{L. Zhang} et al., Chin. J. Numer. Math. Appl. 24, No. 3, 61--66 (2002; Zbl 1026.65001); translation from J. Numer. Methods Comput. Appl. 23 2002, No. 2, 105--110 (2002)
Smoktunowicz, Alicja Backward stability of Clenshaw’s algorithm. (English) Zbl 1019.65004 BIT 42, No. 3, 600-610 (2002). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 65G50 65F35 PDFBibTeX XMLCite \textit{A. Smoktunowicz}, BIT 42, No. 3, 600--610 (2002; Zbl 1019.65004) Full Text: DOI
Khan, M. A. H. High-order differential approximants. (English) Zbl 1013.65003 J. Comput. Appl. Math. 149, No. 2, 457-468 (2002). MSC: 65B10 65D20 33B30 33F05 34A25 34A30 65L05 PDFBibTeX XMLCite \textit{M. A. H. Khan}, J. Comput. Appl. Math. 149, No. 2, 457--468 (2002; Zbl 1013.65003) Full Text: DOI
Belokurov, V. V.; Solov’ev, Yu. P.; Shavgulidze, E. T.; Yudin, I. L. Examples of computations in the framework of a new perturbation theory with convergent series. (English. Russian original) Zbl 1042.65002 Mosc. Univ. Phys. Bull. 56, No. 2, 23-30 (2001); translation from Vestn. Mosk. Univ., Ser. III 2001, No. 2, 23-27 (2001). MSC: 65B10 40A05 PDFBibTeX XMLCite \textit{V. V. Belokurov} et al., Mosc. Univ. Phys. Bull. 56, No. 2, 23--27 (2001; Zbl 1042.65002); translation from Vestn. Mosk. Univ., Ser. III 2001, No. 2, 23--27 (2001)
Matos, Ana C. Recursive computation of Padé-Legendre approximants and some acceleration properties. (English) Zbl 1008.65002 Numer. Math. 89, No. 3, 535-560 (2001). MSC: 65B10 41A21 33C45 65D20 PDFBibTeX XMLCite \textit{A. C. Matos}, Numer. Math. 89, No. 3, 535--560 (2001; Zbl 1008.65002) Full Text: DOI
Barrio, R. Stability of parallel algorithms to evaluate Chebyshev series. (English) Zbl 1002.65002 Comput. Math. Appl. 41, No. 10-11, 1365-1377 (2001). Reviewer: N.Ţăndăreanu (Craiova) MSC: 65B10 65G50 65Y05 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{R. Barrio}, Comput. Math. Appl. 41, No. 10--11, 1365--1377 (2001; Zbl 1002.65002) Full Text: DOI
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato Fast summation of power series with coefficients analytic at infinity. (English) Zbl 0982.65003 Numer. Algorithms 27, No. 1, 77-87 (2001). Reviewer: Jesus Illán González (Vigo) MSC: 65B10 65D25 PDFBibTeX XMLCite \textit{A. Sommariva} et al., Numer. Algorithms 27, No. 1, 77--87 (2001; Zbl 0982.65003) Full Text: DOI
Mitichkina, A. M.; Ryabenko, A. A. Representation of algebraic functions as power and fractional power series of special type. (English. Russian original) Zbl 0985.65003 Program. Comput. Softw. 27, No. 1, 6-11 (2001); translation from Programmirovanie 2001, No. 1, 10-17 (2001). Reviewer: Jesus Illán González (Vigo) MSC: 65B10 65H10 65Y15 65D20 68W30 PDFBibTeX XMLCite \textit{A. M. Mitichkina} and \textit{A. A. Ryabenko}, Program. Comput. Softw. 27, No. 1, 6--11 (2001; Zbl 0985.65003); translation from Programmirovanie 2001, No. 1, 10--17 (2001) Full Text: DOI
Shail, R. A class of infinite sums and integrals. (English) Zbl 0964.65001 Math. Comput. 70, No. 234, 789-799 (2001). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 PDFBibTeX XMLCite \textit{R. Shail}, Math. Comput. 70, No. 234, 789--799 (2001; Zbl 0964.65001) Full Text: DOI
Dassiè, Silvia; Vianello, Marco; Zanovello, Renato A new summation method for power series with rational coefficients. (English) Zbl 0941.65002 Math. Comput. 69, No. 230, 749-756 (2000). Reviewer: A.López-Carmona (Granada) MSC: 65B10 65D20 33E20 41A60 PDFBibTeX XMLCite \textit{S. Dassiè} et al., Math. Comput. 69, No. 230, 749--756 (2000; Zbl 0941.65002) Full Text: DOI
Shi, Yixun; Ashelman, David Improving the order of convergence to Euler’s constant. (English) Zbl 1171.65302 Int. J. Appl. Math. 1, No. 5, 583-586 (1999). MSC: 65B10 65Y20 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{D. Ashelman}, Int. J. Appl. Math. 1, No. 5, 583--586 (1999; Zbl 1171.65302)
Solak, Wiesław A remark on power series estimation via boundary corrections with parameter. (English) Zbl 0992.65001 Opusc. Math. 19, 75-80, 10, 12 (1999). MSC: 65B10 PDFBibTeX XMLCite \textit{W. Solak}, Opusc. Math. 19, 75--80, 10, 12 (1999; Zbl 0992.65001)