Masjed-Jamei, Mohammad; Jafari, M.; Srivastava, H. Some applications of the Stirling numbers of the first and second kind. (English) Zbl 1318.65014 J. Appl. Math. Comput. 47, No. 1-2, 153-174 (2015). MSC: 65D32 41A55 65L06 65L05 34A30 45B05 11B73 11Y35 65R20 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} et al., J. Appl. Math. Comput. 47, No. 1--2, 153--174 (2015; Zbl 1318.65014) Full Text: DOI
Arushanyan, O. B.; Volchenskova, N. I.; Zaletkin, S. F. On an approach to integration of ordinary differential equations with the use of series. (English. Russian original) Zbl 1321.65107 Mosc. Univ. Math. Bull. 69, No. 6, 272-274 (2014); translation from Vestn. Mosk. Univ., Ser. I 69, No. 6, 57-60 (2014). MSC: 65L05 34A34 34A25 34A30 PDFBibTeX XMLCite \textit{O. B. Arushanyan} et al., Mosc. Univ. Math. Bull. 69, No. 6, 272--274 (2014; Zbl 1321.65107); translation from Vestn. Mosk. Univ., Ser. I 69, No. 6, 57--60 (2014) Full Text: DOI
Bulatov, M. V.; Tien, Thanh Do Multistep method for solving degenerate integral-differential equations. (Russian. English summary) Zbl 1308.65217 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 3, 93-106 (2014). MSC: 65R20 45F15 45J05 PDFBibTeX XMLCite \textit{M. V. Bulatov} and \textit{T. D. Tien}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 7, No. 3, 93--106 (2014; Zbl 1308.65217) Full Text: DOI
Bulatov, M. V.; Budnikova, O. S. On stable algorithms for numerical soultion of integral-algebraic equations. (Russian. English summary) Zbl 1303.65107 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 4, 5-14 (2013). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. V. Bulatov} and \textit{O. S. Budnikova}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 6, No. 4, 5--14 (2013; Zbl 1303.65107) Full Text: DOI
Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming Efficient and long-time accurate second-order methods for the Stokes-Darcy system. (English) Zbl 1282.76094 SIAM J. Numer. Anal. 51, No. 5, 2563-2584 (2013). MSC: 76D07 76S05 35M13 35Q35 65N30 65N55 PDFBibTeX XMLCite \textit{W. Chen} et al., SIAM J. Numer. Anal. 51, No. 5, 2563--2584 (2013; Zbl 1282.76094) Full Text: DOI arXiv Backlinks: MO
Kulikov, G. Yu. Solving the order reduction phenomenon in variable step size quasi-consistent Nordsieck methods. (Russian, English) Zbl 1274.65193 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 11, 2004-2022 (2012); translation in Comput. Math. Math. Phys. 52, No. 11, 1547-1564 (2012). MSC: 65L05 34A34 65L50 65L20 65L70 65L06 PDFBibTeX XMLCite \textit{G. Yu. Kulikov}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 11, 2004--2022 (2012; Zbl 1274.65193); translation in Comput. Math. Math. Phys. 52, No. 11, 1547--1564 (2012) Full Text: DOI
Budnikova, O. S.; Bulatov, M. V. Numerical solution of integral-algebraic equations for multistep methods. (Russian, English) Zbl 1274.65335 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 5, 829-839 (2012); translation in Comput. Math. Math. Phys. 52, No. 5, 691-701 (2012). MSC: 65R20 45D05 45F05 PDFBibTeX XMLCite \textit{O. S. Budnikova} and \textit{M. V. Bulatov}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 5, 829--839 (2012; Zbl 1274.65335); translation in Comput. Math. Math. Phys. 52, No. 5, 691--701 (2012) Full Text: DOI
Chistyakova, E. V. Regularizing properties of difference schemes for singular integral-differential equations. (English) Zbl 1256.65105 Appl. Numer. Math. 62, No. 10, 1302-1311 (2012). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R20 45J05 45G05 45D05 PDFBibTeX XMLCite \textit{E. V. Chistyakova}, Appl. Numer. Math. 62, No. 10, 1302--1311 (2012; Zbl 1256.65105) Full Text: DOI
Ramnath, Rudrapatna V. Computation and asymptotics. (English) Zbl 1240.65215 SpringerBriefs in Applied Sciences and Technology. Computational Mechanics. Berlin: Springer (ISBN 978-3-642-25748-3/pbk; 978-3-642-25749-0/ebook). xv, 120 p. (2012). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L06 34E05 65-02 65L20 65D25 65D32 70M20 PDFBibTeX XMLCite \textit{R. V. Ramnath}, Computation and asymptotics. Berlin: Springer (2012; Zbl 1240.65215) Full Text: DOI
Cong, Nguyen Huu; Thuy, Nguyen Thu Two-step-by-two-step PIRK-type PC methods based on Gauss-Legendre collocation points. (English) Zbl 1230.65084 J. Comput. Appl. Math. 236, No. 2, 225-233 (2011). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L06 65L05 34A34 65Y05 65L20 PDFBibTeX XMLCite \textit{N. H. Cong} and \textit{N. T. Thuy}, J. Comput. Appl. Math. 236, No. 2, 225--233 (2011; Zbl 1230.65084) Full Text: DOI
Mehrkanoon, Siamak A direct variable step block multistep method for solving general third-order ODEs. (English) Zbl 1215.65128 Numer. Algorithms 57, No. 1, 53-66 (2011). MSC: 65L06 65L05 34A34 65L50 PDFBibTeX XMLCite \textit{S. Mehrkanoon}, Numer. Algorithms 57, No. 1, 53--66 (2011; Zbl 1215.65128) Full Text: DOI
Kohno, Toshitake Geometry of iterated integrals. (Hanpuku sekibun no kikagaku). (Japanese) Zbl 1305.26004 Tokyo: Springer (ISBN 978-4-431-70669-4). vii, 295 p. (2009). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 26-01 26B20 28A25 49Q15 PDFBibTeX XMLCite \textit{T. Kohno}, Geometry of iterated integrals. (Hanpuku sekibun no kikagaku) (Japanese). Tokyo: Springer (2009; Zbl 1305.26004)
Kulikov, G. Yu. On quasi-consistent integration by Nordsieck methods. (English) Zbl 1163.65058 J. Comput. Appl. Math. 225, No. 1, 268-287 (2009). Reviewer: Josep J. Masdemont (Barcelona) MSC: 65L70 65L05 65L06 65L20 65L50 34A34 PDFBibTeX XMLCite \textit{G. Yu. Kulikov}, J. Comput. Appl. Math. 225, No. 1, 268--287 (2009; Zbl 1163.65058) Full Text: DOI
Siyyam, Hani I.; Jaradat, Emad Ali Line integrals over implicitly defined curves. (English) Zbl 1146.65026 Pac.-Asian J. Math. 1, No. 1, 61-80 (2007). MSC: 65D32 41A55 34A34 65L06 65L05 65H20 65L50 PDFBibTeX XMLCite \textit{H. I. Siyyam} and \textit{E. A. Jaradat}, Pac.-Asian J. Math. 1, No. 1, 61--80 (2007; Zbl 1146.65026)
Othman, Khairil Iskandar; Ibrahim, Zarina Bibi; Suleiman, Mohamed; Majid, Zanariah Automatic intervalwise block partitioning using Adams type method and backward differentiation formula for solving ODEs. (English) Zbl 1119.65062 Appl. Math. Comput. 188, No. 2, 1642-1646 (2007). MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{K. I. Othman} et al., Appl. Math. Comput. 188, No. 2, 1642--1646 (2007; Zbl 1119.65062) Full Text: DOI
Iavernaro, Felice; Mazzia, Francesca On the extension of the code GAM for parallel computing. (English) Zbl 0945.65083 Amestoy, Patrick (ed.) et al., Euro-Par ’99. Parallel processing. 5th international Euro-Par conference, Toulouse, France, August 31 - September 3, 1999. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1685, 1136-1143 (1999). MSC: 65L06 34A34 65Y05 65Y15 65L05 65L50 65L20 PDFBibTeX XMLCite \textit{F. Iavernaro} and \textit{F. Mazzia}, Lect. Notes Comput. Sci. 1685, 1136--1143 (1999; Zbl 0945.65083)
Siu, Allen H. P.; Lee, Y. K. A three-dimensional least-squares finite element technique for deformation analysis. (English) Zbl 0908.73080 Int. J. Numer. Methods Eng. 40, No. 22, 4159-4182 (1997). Reviewer: J.P.Milaszewicz (Dublin) MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{A. H. P. Siu} and \textit{Y. K. Lee}, Int. J. Numer. Methods Eng. 40, No. 22, 4159--4182 (1997; Zbl 0908.73080) Full Text: DOI
Fredebeul, Christoph \(A(\alpha)\)-stable formulae of Adams-type. (English) Zbl 0888.65094 Gen. Math. 3, No. 3-4, 89-100 (1995). MSC: 65L20 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{C. Fredebeul}, Gen. Math. 3, No. 3--4, 89--100 (1995; Zbl 0888.65094)
Fredebeul, Christoph Adaptive multistep formulas: A generalization of implicit Adams and backward difference formulas and their implementation. (Adaptive Mehrschrittformeln: Eine Verallgemeinerung impliziter Adams- und Backward-Difference-Formeln und ihre effiziente Implementierung.) (German) Zbl 0830.65077 Dortmund: FB Math., Univ. Dortmund, ii, 127 S. (1993). MSC: 65L06 65L20 65L05 65L50 65L70 34A34 34-04 PDFBibTeX XMLCite \textit{C. Fredebeul}, Adaptive Mehrschrittformeln: Eine Verallgemeinerung impliziter Adams- und Backward-Difference-Formeln und ihre effiziente Implementierung. Dortmund: FB Math., Univ. Dortmund (1993; Zbl 0830.65077)
Ten Men Yan Quadrature methods for the solution of Volterra type integral equations of the first kind with variable lower limit. (Russian) Zbl 0810.65133 Vasil’ev, O. V. (ed.), Algebraic-differential systems and methods for their solutions. Collection of scientific works. Novosibirsk: Nauka. 55-77 (1993). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{Ten Men Yan}, in: Algebro-differentsial'nye sistemy i metody ikh resheniya. Sbornik nauchnykh trudov. Novosibirsk: Nauka. 55--77 (1993; Zbl 0810.65133)
Röth, Andreas Barthel Lineare Intervall-Mehrschrittverfahren zur numerischen Behandlung gewöhnlicher Differentialgleichungen. (Linear interval multistep methods for the numerical treatment of ordinary differential equations). (German) Zbl 0715.65056 Duisburg: Univ.-GHS-Duisburg, FB 11/Mathematik, Diss. 106 S. (1990). Reviewer: A.B.Röth MSC: 65L06 65G30 65L20 65L05 34A34 PDFBibTeX XMLCite \textit{A. B. Röth}, Lineare Intervall-Mehrschrittverfahren zur numerischen Behandlung gewöhnlicher Differentialgleichungen. (Linear interval multistep methods for the numerical treatment of ordinary differential equations). Duisburg: Univ. - GHS - Duisburg, FB 11/Mathematik (1990; Zbl 0715.65056)
Kahaner, D. K.; Lawkins, W. F.; Thompson, S. On the use of rootfinding ODE software for the solution of a common problem in nonlinear dynamical systems. (English) Zbl 0685.65060 J. Comput. Appl. Math. 28, 219-230 (1989). Reviewer: M.Calvo MSC: 65L05 65K10 34A34 34-04 93C10 37-XX PDFBibTeX XMLCite \textit{D. K. Kahaner} et al., J. Comput. Appl. Math. 28, 219--230 (1989; Zbl 0685.65060) Full Text: DOI
Fatunla, Simeon Ola New predictor corrector formulas for initial value problems in ordinary differential equations. (English) Zbl 0671.65050 Int. J. Comput. Math. 26, No. 3-4, 247-261 (1989). Reviewer: Z.Jackiewicz MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{S. O. Fatunla}, Int. J. Comput. Math. 26, No. 3--4, 247--261 (1989; Zbl 0671.65050) Full Text: DOI
Brankin, R. W.; Gladwell, I.; Shampine, L. F. Starting BDF and Adams codes at optimal order. (English) Zbl 0642.65056 J. Comput. Appl. Math. 21, No. 3, 357-368 (1988). Reviewer: R.Scherer MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{R. W. Brankin} et al., J. Comput. Appl. Math. 21, No. 3, 357--368 (1988; Zbl 0642.65056) Full Text: DOI
Marinescu, Gh.; Rizzoli, Irina; Popescu, Ileana; Ştefan, Cristin Computer-aided solution of numerical analysis problems. (Probleme de analiză numerică rezolvate cu calculatorul). (Romanian) Zbl 0665.65003 Bucureşti: Editura Academiei Republicii Socialiste România. 264 p.; Lei 1950 (1987). MSC: 65-01 65Dxx 65Fxx 65Lxx 65N35 PDFBibTeX XML
Addison, C. A.; Hanson, P. M. An investigation into the stability properties of semi-implicit blended formulae. (English) Zbl 0629.65095 SIAM J. Sci. Stat. Comput. 8, 963-978 (1987). Reviewer: E.Schechter MSC: 65L20 65L05 34A34 PDFBibTeX XMLCite \textit{C. A. Addison} and \textit{P. M. Hanson}, SIAM J. Sci. Stat. Comput. 8, 963--978 (1987; Zbl 0629.65095) Full Text: DOI
Bakke, V. L.; Jackiewicz, Z. Stability analysis of reducible quadrature methods for Volterra integro- differential equations. (English) Zbl 0624.65140 Apl. Mat. 32, 37-48 (1987). Reviewer: E.Hairer MSC: 65R20 65Q05 45J05 PDFBibTeX XMLCite \textit{V. L. Bakke} and \textit{Z. Jackiewicz}, Apl. Mat. 32, 37--48 (1987; Zbl 0624.65140) Full Text: EuDML
Skeel, Robert D. Construction of variable-stepsize multistep formulas. (English) Zbl 0611.65048 Math. Comput. 47, 503-510 (1986). Reviewer: M.Reimer MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{R. D. Skeel}, Math. Comput. 47, 503--510 (1986; Zbl 0611.65048) Full Text: DOI
Gupta, Gopal K.; Sacks-Davis, Ron; Tischer, Peter E. A review of recent developments in solving ODEs. (English) Zbl 0576.65071 Comput. Surv. 17, 5-47 (1985). Reviewer: E.Hairer MSC: 65L05 65-02 34-04 34A34 PDFBibTeX XMLCite \textit{G. K. Gupta} et al., Comput. Surv. 17, 5--47 (1985; Zbl 0576.65071)
Alemayehu, Adinew; Maerz, Roswitha Interpolative parametric multistep methods. (English) Zbl 0521.65062 Prepr., Neue Folge, Humboldt-Univ. Berl., Sekt. Math. 56, 26 p. (1983). MSC: 65L05 65L20 PDFBibTeX XML
Nougier, J. P. Méthodes de calcul numérique. (French) Zbl 0517.65001 Paris etc.: Masson, 317 p. (1983). MSC: 65-01 65Fxx 65Dxx 65L05 65L10 65N12 65N30 65C05 65C10 PDFBibTeX XML
Skeel, R. D.; Jackson, L. W. The stability of variable-stepsize Nordsieck methods. (English) Zbl 0514.65058 SIAM J. Numer. Anal. 20, 840-853 (1983). MSC: 65L05 65L20 65L50 PDFBibTeX XMLCite \textit{R. D. Skeel} and \textit{L. W. Jackson}, SIAM J. Numer. Anal. 20, 840--853 (1983; Zbl 0514.65058) Full Text: DOI
Sun, Geng; Mao, Zu-fan A class of modified Adams-Moulton methods. (Chinese) Zbl 0512.65055 Math. Numer. Sin. 5, 113-118 (1983). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{G. Sun} and \textit{Z.-f. Mao}, Math. Numer. Sin. 5, 113--118 (1983; Zbl 0512.65055)
Feinberg, Robert B. \(A_ 0-\)stable formulas of Adams type. (English) Zbl 0483.65046 SIAM J. Numer. Anal. 19, 259-262 (1982). MSC: 65L05 65L20 PDFBibTeX XMLCite \textit{R. B. Feinberg}, SIAM J. Numer. Anal. 19, 259--262 (1982; Zbl 0483.65046) Full Text: DOI
Sand, Jorgen On one-leg and linear multistep formulas with variable step-sizes. (English) Zbl 0467.65033 R. Inst. Technol., Stockh. TRITA-NA-8112, 46 p. (1981). MSC: 65L05 65L20 PDFBibTeX XML
Skelboe, Stig Implementation of Chebyshevian linear multistep formulas. (English) Zbl 0475.65045 BIT, Nord. Tidskr. Inf.-behandl. 20, 356-366 (1980). MSC: 65L05 PDFBibTeX XMLCite \textit{S. Skelboe}, BIT, Nord. Tidskr. Inf.-behandl. 20, 356--366 (1980; Zbl 0475.65045) Full Text: DOI
Sacks-Davis, R. Fixed leading coefficient implementation of SD-formulas for stiff ODEs. (English) Zbl 0452.65048 ACM Trans. Math. Softw. 6, 540-562 (1980). MSC: 65L05 65L20 65-04 PDFBibTeX XMLCite \textit{R. Sacks-Davis}, ACM Trans. Math. Softw. 6, 540--562 (1980; Zbl 0452.65048) Full Text: DOI
Riley, James D.; Bennett, Morris M.; McCormick, Emily Numerical integration of variational equations. (English) Zbl 0153.18603 Math. Comput. 21, 12-17 (1967). Reviewer: Fritz Krückeberg (Bonn) MSC: 65L99 65K99 PDFBibTeX XMLCite \textit{J. D. Riley} et al., Math. Comput. 21, 12--17 (1967; Zbl 0153.18603) Full Text: DOI