Bourgault, Yves; Garon, André Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations. (English) Zbl 1506.65095 BIT 62, No. 4, 1789-1822 (2022). MSC: 65L04 65L05 65L12 65L20 PDF BibTeX XML Cite \textit{Y. Bourgault} and \textit{A. Garon}, BIT 62, No. 4, 1789--1822 (2022; Zbl 1506.65095) Full Text: DOI OpenURL
Majidi, Tahereh; Abdi, Ali; Hojjati, Gholamreza Generalized second derivative linear multistep methods for ordinary differential equations. (English) Zbl 1496.65089 Numer. Algorithms 91, No. 1, 227-250 (2022). MSC: 65L06 65L04 65L05 65L20 PDF BibTeX XML Cite \textit{T. Majidi} et al., Numer. Algorithms 91, No. 1, 227--250 (2022; Zbl 1496.65089) Full Text: DOI OpenURL
Chang, Shuenn-Yih A-stable, explicit method for solving stiff problems in science and engineering. (English) Zbl 1491.65058 Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 88, 19 p. (2022). MSC: 65L04 65L05 65L20 PDF BibTeX XML Cite \textit{S.-Y. Chang}, Int. J. Appl. Comput. Math. 8, No. 2, Paper No. 88, 19 p. (2022; Zbl 1491.65058) Full Text: DOI OpenURL
Zhang, Huimin; Zhang, Runsen; Zanoni, Andrea; Masarati, Pierangelo Performance of implicit A-stable time integration methods for multibody system dynamics. (English) Zbl 1492.70008 Multibody Syst. Dyn. 54, No. 3, 263-301 (2022). MSC: 70E55 PDF BibTeX XML Cite \textit{H. Zhang} et al., Multibody Syst. Dyn. 54, No. 3, 263--301 (2022; Zbl 1492.70008) Full Text: DOI OpenURL
Koyaguerebo-Imé, Saint-Cyr E. R.; Bourgault, Yves Arbitrary high order A-stable and B-convergent numerical methods for ODEs via deferred correction. (English) Zbl 1485.65080 BIT 62, No. 1, 139-170 (2022). MSC: 65L05 65L04 65B05 65L12 65L20 PDF BibTeX XML Cite \textit{S.-C. E. R. Koyaguerebo-Imé} and \textit{Y. Bourgault}, BIT 62, No. 1, 139--170 (2022; Zbl 1485.65080) Full Text: DOI arXiv OpenURL
Olatunji, P. O.; Ikhile, M. N. O.; Okuonghae, R. I. Nested second derivative two-step Runge-Kutta methods. (English) Zbl 1499.65288 Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 249, 39 p. (2021). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{P. O. Olatunji} et al., Int. J. Appl. Comput. Math. 7, No. 6, Paper No. 249, 39 p. (2021; Zbl 1499.65288) Full Text: DOI OpenURL
Ramos, Higinio; Qureshi, Sania; Soomro, Amanullah Adaptive step-size approach for Simpson’s-type block methods with time efficiency and order stars. (English) Zbl 1476.65123 Comput. Appl. Math. 40, No. 6, Paper No. 219, 20 p. (2021). MSC: 65L04 65L05 65L06 PDF BibTeX XML Cite \textit{H. Ramos} et al., Comput. Appl. Math. 40, No. 6, Paper No. 219, 20 p. (2021; Zbl 1476.65123) Full Text: DOI OpenURL
Ranocha, Hendrik; Nordström, Jan A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions. (English) Zbl 1471.65083 J. Sci. Comput. 87, No. 1, Paper No. 33, 26 p. (2021). MSC: 65L06 65L20 65M20 PDF BibTeX XML Cite \textit{H. Ranocha} and \textit{J. Nordström}, J. Sci. Comput. 87, No. 1, Paper No. 33, 26 p. (2021; Zbl 1471.65083) Full Text: DOI arXiv OpenURL
Han Veiga, Maria; Öffner, Philipp; Torlo, Davide DeC and ADER: similarities, differences and a unified framework. (English) Zbl 1459.76086 J. Sci. Comput. 87, No. 1, Paper No. 2, 35 p. (2021). MSC: 76M12 76M20 65M12 PDF BibTeX XML Cite \textit{M. Han Veiga} et al., J. Sci. Comput. 87, No. 1, Paper No. 2, 35 p. (2021; Zbl 1459.76086) Full Text: DOI arXiv OpenURL
Maset, Stefano Relative error stability and instability of matrix exponential approximations for stiff numerical integration of long-time solutions. (English) Zbl 1470.65079 J. Comput. Appl. Math. 390, Article ID 113387, 26 p. (2021). MSC: 65F60 65L04 65L05 65L06 65L20 65L70 PDF BibTeX XML Cite \textit{S. Maset}, J. Comput. Appl. Math. 390, Article ID 113387, 26 p. (2021; Zbl 1470.65079) Full Text: DOI OpenURL
Schneider, Moritz; Lang, Jens; Weiner, Rüdiger Super-convergent implicit-explicit peer methods with variable step sizes. (English) Zbl 1458.65089 J. Comput. Appl. Math. 387, Article ID 112501, 17 p. (2021). MSC: 65L06 65L20 PDF BibTeX XML Cite \textit{M. Schneider} et al., J. Comput. Appl. Math. 387, Article ID 112501, 17 p. (2021; Zbl 1458.65089) Full Text: DOI arXiv OpenURL
Liu, Zhongli; Hu, Jintao; Tian, Hongjiong Hybrid Runge-Kutta methods for ordinary differential equations. (English) Zbl 1449.65158 Comput. Appl. Math. 39, No. 3, Paper No. 176, 14 p. (2020). MSC: 65L06 65L05 65L20 PDF BibTeX XML Cite \textit{Z. Liu} et al., Comput. Appl. Math. 39, No. 3, Paper No. 176, 14 p. (2020; Zbl 1449.65158) Full Text: DOI OpenURL
Citro, Vincenzo; D’Ambrosio, Raffaele; Di Giovacchino, Stefano A-stability preserving perturbation of Runge-Kutta methods for stochastic differential equations. (English) Zbl 07206927 Appl. Math. Lett. 102, Article ID 106098, 6 p. (2020). MSC: 65C30 60H10 60H35 65L06 34F05 PDF BibTeX XML Cite \textit{V. Citro} et al., Appl. Math. Lett. 102, Article ID 106098, 6 p. (2020; Zbl 07206927) Full Text: DOI OpenURL
Vasilev, E. I.; Vasilyeva, T. A. Multi-implicit methods with automatic error control in applications with chemical reactions. (English. Russian original) Zbl 07150935 Comput. Math. Math. Phys. 59, No. 9, 1508-1517 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1570-1580 (2019). MSC: 65L04 PDF BibTeX XML Cite \textit{E. I. Vasilev} and \textit{T. A. Vasilyeva}, Comput. Math. Math. Phys. 59, No. 9, 1508--1517 (2019; Zbl 07150935); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 9, 1570--1580 (2019) Full Text: DOI OpenURL
Avaji, M.; Jodayree Akbarfam, A.; Haghighi, A. Stability analysis of high order Runge-Kutta methods for index 1 stochastic differential-algebraic equations with scalar noise. (English) Zbl 1433.65010 Appl. Math. Comput. 362, Article ID 124544, 14 p. (2019). MSC: 65C30 60H35 65L20 65L80 65L06 60H10 34F05 PDF BibTeX XML Cite \textit{M. Avaji} et al., Appl. Math. Comput. 362, Article ID 124544, 14 p. (2019; Zbl 1433.65010) Full Text: DOI OpenURL
Khalsaraei, Mohammad Mehdizadeh; Shokri, Ali; Molayi, Maryam The new high approximation of stiff systems of first order IVPs arising from chemical reactions by \(k\)-step L-stable hybrid methods. (English) Zbl 07128063 Iran. J. Math. Chem. 10, No. 2, 181-193 (2019). MSC: 65-XX 92E20 PDF BibTeX XML Cite \textit{M. M. Khalsaraei} et al., Iran. J. Math. Chem. 10, No. 2, 181--193 (2019; Zbl 07128063) Full Text: DOI OpenURL
Fang, Yonglei; Yang, Yanping; You, Xiong; Wang, Bin A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems. (English) Zbl 1416.65178 Numer. Algorithms 81, No. 4, 1235-1251 (2019). MSC: 65L03 65L06 65L20 PDF BibTeX XML Cite \textit{Y. Fang} et al., Numer. Algorithms 81, No. 4, 1235--1251 (2019; Zbl 1416.65178) Full Text: DOI OpenURL
Schneider, Moritz; Lang, Jens; Hundsdorfer, Willem Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part. (English) Zbl 1415.65164 J. Comput. Phys. 367, 121-133 (2018). MSC: 65L06 65L05 65L20 PDF BibTeX XML Cite \textit{M. Schneider} et al., J. Comput. Phys. 367, 121--133 (2018; Zbl 1415.65164) Full Text: DOI arXiv Link OpenURL
Birken, Philipp; Meister, Andreas; Ortleb, Sigrun; Straub, Veronika On stability and conservation properties of (s)EPIRK integrators in the context of discretized pdes. (English) Zbl 1407.65079 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems II, Aachen, Germany, August 2016. Cham: Springer. Springer Proc. Math. Stat. 237, 617-629 (2018). MSC: 65L20 65L07 35L65 65F60 PDF BibTeX XML Cite \textit{P. Birken} et al., Springer Proc. Math. Stat. 237, 617--629 (2018; Zbl 1407.65079) Full Text: DOI OpenURL
Ebadi, Moosa New class of hybrid BDF methods for the computation of numerical solutions of IVPs. (English) Zbl 1398.65160 Numer. Algorithms 79, No. 1, 179-193 (2018). MSC: 65L05 65Y05 PDF BibTeX XML Cite \textit{M. Ebadi}, Numer. Algorithms 79, No. 1, 179--193 (2018; Zbl 1398.65160) Full Text: DOI OpenURL
Kulikov, G. Yu.; Weiner, R. Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods. (English) Zbl 1435.65102 J. Comput. Appl. Math. 340, 256-275 (2018). MSC: 65L04 65L20 65L70 PDF BibTeX XML Cite \textit{G. Yu. Kulikov} and \textit{R. Weiner}, J. Comput. Appl. Math. 340, 256--275 (2018; Zbl 1435.65102) Full Text: DOI OpenURL
Akinfenwa, O. A.; Abdulganiy, R. I.; Okunuga, S. A.; Irechukwu, V. Simpson’s \(\frac{3}{8}\)-type block method for stiff systems of ordinary differential equations. (English) Zbl 1474.65201 J. Niger. Math. Soc. 36, No. 3, 503-514 (2017). MSC: 65L04 65L05 65L06 PDF BibTeX XML Cite \textit{O. A. Akinfenwa} et al., J. Niger. Math. Soc. 36, No. 3, 503--514 (2017; Zbl 1474.65201) Full Text: Link OpenURL
Wang, Wansheng On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations. (English) Zbl 1426.65086 Appl. Math. Comput. 314, 380-390 (2017). MSC: 65L03 65L06 65L07 34K20 65L20 PDF BibTeX XML Cite \textit{W. Wang}, Appl. Math. Comput. 314, 380--390 (2017; Zbl 1426.65086) Full Text: DOI OpenURL
Ramos, Higinio; Singh, Gurjinder A tenth order \(\mathcal{A} \)-stable two-step hybrid block method for solving initial value problems of ODEs. (English) Zbl 1426.65095 Appl. Math. Comput. 310, 75-88 (2017). MSC: 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{H. Ramos} and \textit{G. Singh}, Appl. Math. Comput. 310, 75--88 (2017; Zbl 1426.65095) Full Text: DOI OpenURL
Yumagulov, M. G.; Mustafina, I. Zh.; Ibragimova, L. S. A study of the boundaries of stability regions in two-parameter dynamical systems. (English. Russian original) Zbl 1387.93140 Autom. Remote Control 78, No. 10, 1790-1802 (2017); translation from Avtom. Telemekh. 2017, No. 10, 74-89 (2017). MSC: 93D99 93C15 93C05 PDF BibTeX XML Cite \textit{M. G. Yumagulov} et al., Autom. Remote Control 78, No. 10, 1790--1802 (2017; Zbl 1387.93140); translation from Avtom. Telemekh. 2017, No. 10, 74--89 (2017) Full Text: DOI OpenURL
Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh An embedded 3(2) pair of nonlinear methods for solving first order initial-value ordinary differential systems. (English) Zbl 1380.65121 Numer. Algorithms 75, No. 3, 509-529 (2017). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L05 34A34 65L20 65L70 PDF BibTeX XML Cite \textit{H. Ramos} et al., Numer. Algorithms 75, No. 3, 509--529 (2017; Zbl 1380.65121) Full Text: DOI OpenURL
Schmitt, Bernhard A.; Weiner, Rüdiger Efficient A-stable peer two-step methods. (English) Zbl 1372.65197 J. Comput. Appl. Math. 316, 319-329 (2017). MSC: 65L04 65L20 PDF BibTeX XML Cite \textit{B. A. Schmitt} and \textit{R. Weiner}, J. Comput. Appl. Math. 316, 319--329 (2017; Zbl 1372.65197) Full Text: DOI OpenURL
Wen, Liping; Zhou, Yan Convergence of one-leg methods for neutral delay integro-differential equations. (English) Zbl 1357.65326 J. Comput. Appl. Math. 317, 432-446 (2017). MSC: 65R20 45J05 45G10 PDF BibTeX XML Cite \textit{L. Wen} and \textit{Y. Zhou}, J. Comput. Appl. Math. 317, 432--446 (2017; Zbl 1357.65326) Full Text: DOI OpenURL
Izzo, Giuseppe; Jackiewicz, Zdzislaw Generalized linear multistep methods for ordinary differential equations. (English) Zbl 1357.65097 Appl. Numer. Math. 114, 165-178 (2017). MSC: 65L06 65L05 34A34 65L20 65L04 65L70 PDF BibTeX XML Cite \textit{G. Izzo} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 114, 165--178 (2017; Zbl 1357.65097) Full Text: DOI OpenURL
Celaya, E. Alberdi; Anza Aguirrezabala, J. J. Comparison between the families of superfuture points EBDF and MEBDF. (English) Zbl 1378.65142 Dogbe, Christian (ed.), Actes du colloque “EDP-Normandie”, Le Havre, France, Octobre 21–22, 2015. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-3-7/pbk). Normandie-Mathématiques, 211-224 (2016). MSC: 65L05 PDF BibTeX XML Cite \textit{E. A. Celaya} and \textit{J. J. Anza Aguirrezabala}, in: Actes du colloque ``EDP-Normandie'', Le Havre, France, Octobre 21--22, 2015. [s.l.]: Fédération Normandie-Mathématiques. 211--224 (2016; Zbl 1378.65142) OpenURL
Kovács, Balázs; Li, Buyang; Lubich, Christian A-stable time discretizations preserve maximal parabolic regularity. (English) Zbl 1355.65122 SIAM J. Numer. Anal. 54, No. 6, 3600-3624 (2016). MSC: 65M20 35K55 65L06 65M12 65M06 PDF BibTeX XML Cite \textit{B. Kovács} et al., SIAM J. Numer. Anal. 54, No. 6, 3600--3624 (2016; Zbl 1355.65122) Full Text: DOI arXiv OpenURL
Movahedinejad, A.; Hojjati, G.; Abdi, A. Second derivative general linear methods with inherent Runge-Kutta stability. (English) Zbl 1351.65051 Numer. Algorithms 73, No. 2, 371-389 (2016). MSC: 65L06 65L20 65L05 34A34 65L04 65L50 PDF BibTeX XML Cite \textit{A. Movahedinejad} et al., Numer. Algorithms 73, No. 2, 371--389 (2016; Zbl 1351.65051) Full Text: DOI OpenURL
Baccouch, Mahboub; Johnson, Bryan A high-order discontinuous Galerkin method for Itô stochastic ordinary differential equations. (English) Zbl 1345.60066 J. Comput. Appl. Math. 308, 138-165 (2016). MSC: 60H35 60H10 65C30 65C20 65L20 65L60 PDF BibTeX XML Cite \textit{M. Baccouch} and \textit{B. Johnson}, J. Comput. Appl. Math. 308, 138--165 (2016; Zbl 1345.60066) Full Text: DOI OpenURL
Abdi, A.; Fazeli, S.; Hojjati, G. Construction of efficient general linear methods for stiff Volterra integral equations. (English) Zbl 1329.65313 J. Comput. Appl. Math. 292, 417-429 (2016). MSC: 65R20 45D05 PDF BibTeX XML Cite \textit{A. Abdi} et al., J. Comput. Appl. Math. 292, 417--429 (2016; Zbl 1329.65313) Full Text: DOI OpenURL
Brugnano, Luigi; Iavernaro, Felice Line integral methods for conservative problems. (English) Zbl 1335.65097 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6384-8/hbk; 978-1-4822-6385-5/ebook). xvi, 222 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65-02 65L06 37M15 37K05 37J05 PDF BibTeX XML Cite \textit{L. Brugnano} and \textit{F. Iavernaro}, Line integral methods for conservative problems. Boca Raton, FL: CRC Press (2016; Zbl 1335.65097) Full Text: DOI OpenURL
Mehdizadeh, M.; Molayi, M. A new class of \(L\)-lable hybrid one step methods for the numerical solution of ordinary differential equations. (English) Zbl 1412.65050 J. Comput. Sci. Appl. Math. 1, No. 2, 39-44 (2015). MSC: 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{M. Mehdizadeh} and \textit{M. Molayi}, J. Comput. Sci. Appl. Math. 1, No. 2, 39--44 (2015; Zbl 1412.65050) OpenURL
Abdi, A.; Hojjati, G. High order second derivative methods with Runge-Kutta stability for the numerical solution of stiff ODEs. (English) Zbl 1339.65090 Iran. J. Numer. Anal. Optim. 5, No. 2, 1-10 (2015). MSC: 65L04 65L06 PDF BibTeX XML Cite \textit{A. Abdi} and \textit{G. Hojjati}, Iran. J. Numer. Anal. Optim. 5, No. 2, 1--10 (2015; Zbl 1339.65090) Full Text: DOI OpenURL
Ezzeddine, Ali K.; Hojjati, Gholamreza; Abdi, Ali Perturbed second derivative multistep methods. (English) Zbl 1327.65131 J. Numer. Math. 23, No. 3, 235-245 (2015). MSC: 65L05 PDF BibTeX XML Cite \textit{A. K. Ezzeddine} et al., J. Numer. Math. 23, No. 3, 235--245 (2015; Zbl 1327.65131) Full Text: DOI OpenURL
Kulikov, G. Yu. Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems. (English. Russian original) Zbl 1325.65105 Comput. Math. Math. Phys. 55, No. 6, 983-1003 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 986-1007 (2015). MSC: 65L06 65L05 34A34 65P10 65L04 37M15 65L70 65L50 PDF BibTeX XML Cite \textit{G. Yu. Kulikov}, Comput. Math. Math. Phys. 55, No. 6, 983--1003 (2015; Zbl 1325.65105); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 6, 986--1007 (2015) Full Text: DOI OpenURL
Nguyen-Ba, Truong; Giordano, Thierry; Vaillancourt, Rémi Three-stage Hermite-Birkhoff solver of order 8 and 9 with variable step size for stiff ODEs. (English) Zbl 1323.65083 Calcolo 52, No. 3, 371-405 (2015). MSC: 65L06 65L05 65L04 65L50 65L20 34A34 65L70 PDF BibTeX XML Cite \textit{T. Nguyen-Ba} et al., Calcolo 52, No. 3, 371--405 (2015; Zbl 1323.65083) Full Text: DOI OpenURL
Küpper, Dominique; Kværnø, Anne; Rößler, Andreas Stability analysis and classification of Runge-Kutta methods for index 1 stochastic differential-algebraic equations with scalar noise. (English) Zbl 1321.65013 Appl. Numer. Math. 96, 24-44 (2015). MSC: 65C30 60H10 60H35 34F05 34A09 65L80 65L06 65L20 PDF BibTeX XML Cite \textit{D. Küpper} et al., Appl. Numer. Math. 96, 24--44 (2015; Zbl 1321.65013) Full Text: DOI arXiv OpenURL
Wang, Peng A-stable Runge-Kutta methods for stiff stochastic differential equations with multiplicative noise. (English) Zbl 1322.65020 Comput. Appl. Math. 34, No. 2, 773-792 (2015). MSC: 65C30 65L04 65L06 65L20 60H35 60H10 PDF BibTeX XML Cite \textit{P. Wang}, Comput. Appl. Math. 34, No. 2, 773--792 (2015; Zbl 1322.65020) Full Text: DOI OpenURL
Yu, Quanhong; Tian, Hongjiong; Kuang, Jiaoxun Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations. (English) Zbl 1317.65158 Int. J. Comput. Math. 92, No. 4, 816-835 (2015). MSC: 65L06 65L20 65L80 PDF BibTeX XML Cite \textit{Q. Yu} et al., Int. J. Comput. Math. 92, No. 4, 816--835 (2015; Zbl 1317.65158) Full Text: DOI OpenURL
Ebadi, Moosa; Gokhale, M. Y. Solving nonlinear parabolic PDEs via extended hybrid BDF methods. (English) Zbl 06419409 Indian J. Pure Appl. Math. 45, No. 3, 395-412 (2014). MSC: 35Kxx PDF BibTeX XML Cite \textit{M. Ebadi} and \textit{M. Y. Gokhale}, Indian J. Pure Appl. Math. 45, No. 3, 395--412 (2014; Zbl 06419409) Full Text: DOI OpenURL
Zabidi, M. Z. M.; Majid, Z. A.; Senu, N. Solving stiff differential equations using A-stable block method. (English) Zbl 1297.65075 Int. J. Pure Appl. Math. 93, No. 3, 409-425 (2014). MSC: 65L04 65L05 34A34 65L20 PDF BibTeX XML Cite \textit{M. Z. M. Zabidi} et al., Int. J. Pure Appl. Math. 93, No. 3, 409--425 (2014; Zbl 1297.65075) Full Text: DOI Link OpenURL
Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw Natural Volterra Runge-Kutta methods. (English) Zbl 1291.65377 Numer. Algorithms 65, No. 3, 421-445 (2014). MSC: 65R20 45D05 45G10 PDF BibTeX XML Cite \textit{D. Conte} et al., Numer. Algorithms 65, No. 3, 421--445 (2014; Zbl 1291.65377) Full Text: DOI OpenURL
Suleiman, M. B.; Musa, H.; Ismail, F.; Senu, N.; Ibrahim, Z. B. A new superclass of block backward differentiation formula for stiff ordinary differential equations. (English) Zbl 1290.65056 Asian-Eur. J. Math. 7, No. 1, Article ID 1350034, 17 p. (2014). MSC: 65L04 65L05 65L20 34A34 65L06 65L70 PDF BibTeX XML Cite \textit{M. B. Suleiman} et al., Asian-Eur. J. Math. 7, No. 1, Article ID 1350034, 17 p. (2014; Zbl 1290.65056) Full Text: DOI OpenURL
Tian, Hongjiong; Yu, Quanhong; Kuang, Jiaoxun Asymptotic stability of linear neutral delay differential-algebraic equations and Runge-Kutta methods. (English) Zbl 1318.65045 SIAM J. Numer. Anal. 52, No. 1, 68-82 (2014). Reviewer: René Lamour (Berlin) MSC: 65L80 65L20 65L06 65L03 34A09 34K40 PDF BibTeX XML Cite \textit{H. Tian} et al., SIAM J. Numer. Anal. 52, No. 1, 68--82 (2014; Zbl 1318.65045) Full Text: DOI OpenURL
Abdi, A.; Braś, M.; Hojjati, G. On the construction of second derivative diagonally implicit multistage integration methods for ODEs. (English) Zbl 1288.65104 Appl. Numer. Math. 76, 1-18 (2014). MSC: 65L06 65L05 34A34 PDF BibTeX XML Cite \textit{A. Abdi} et al., Appl. Numer. Math. 76, 1--18 (2014; Zbl 1288.65104) Full Text: DOI OpenURL
Corless, M.; Sajja, S.; Shorten, R. Preservation of quadratic stability under various common approximate discretization methods. (English) Zbl 1283.93246 Syst. Control Lett. 63, 68-72 (2014). MSC: 93D30 15B57 93C30 PDF BibTeX XML Cite \textit{M. Corless} et al., Syst. Control Lett. 63, 68--72 (2014; Zbl 1283.93246) Full Text: DOI OpenURL
de la Cruz, H.; Biscay, R. J.; Jimenez, J. C.; Carbonell, F. Local linearization-Runge-Kutta methods: a class of A-stable explicit integrators for dynamical systems. (English) Zbl 1305.65171 Math. Comput. Modelling 57, No. 3-4, 720-740 (2013). MSC: 65L06 65P10 PDF BibTeX XML Cite \textit{H. de la Cruz} et al., Math. Comput. Modelling 57, No. 3--4, 720--740 (2013; Zbl 1305.65171) Full Text: DOI arXiv OpenURL
Ezzeddine, Ali Karam; Hojjati, Gholamreza; Abdi, Ali Sequential second derivative general linear methods for stiff systems. (English) Zbl 1302.65163 Bull. Iran. Math. Soc. 40, No. 1, 83-100 (2014). MSC: 65L06 65L05 34A34 65L04 PDF BibTeX XML Cite \textit{A. K. Ezzeddine} et al., Bull. Iran. Math. Soc. 40, No. 1, 83--100 (2013; Zbl 1302.65163) OpenURL
Suleiman, M. B.; Musa, H.; Ismail, F.; Senu, N. A new variable step size block backward differentiation formula for solving stiff initial value problems. (English) Zbl 1282.65092 Int. J. Comput. Math. 90, No. 11, 2391-2408 (2013). MSC: 65L50 65L04 65L05 65L20 PDF BibTeX XML Cite \textit{M. B. Suleiman} et al., Int. J. Comput. Math. 90, No. 11, 2391--2408 (2013; Zbl 1282.65092) Full Text: DOI Link OpenURL
Ixaru, L. Gr. Runge-Kutta methods with equation dependent coefficients. (English) Zbl 1352.65190 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 5th international conference, NAA 2012, Lozenetz, Bulgaria, June 15–20, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-41514-2/pbk). Lecture Notes in Computer Science 8236, 327-336 (2013). MSC: 65L06 65L20 PDF BibTeX XML Cite \textit{L. Gr. Ixaru}, Lect. Notes Comput. Sci. 8236, 327--336 (2013; Zbl 1352.65190) Full Text: DOI OpenURL
Musa, H.; Suleiman, M. B.; Ismail, F. A-stable 2-point block extended backward differentiation formula for solving stiff ordinary differential equations. (English) Zbl 1433.65151 Baskoro, Edy Tri (ed.) et al., The 5th international conference on research and education in mathematics, ICREM5, Bandung, Indonesia, October, 22–24, 2011. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1450, 254-258 (2012). MSC: 65L80 65L04 34A09 PDF BibTeX XML Cite \textit{H. Musa} et al., AIP Conf. Proc. 1450, 254--258 (2012; Zbl 1433.65151) Full Text: DOI Link OpenURL
Abhulimen, C. E.; Uloko, J. A. A class of an implicit stage-two rational Runge-Kutta method for solution of ordinary differential equations. (English) Zbl 1309.65082 J. Appl. Math. Bioinform. 2, No. 3, 17-31 (2012). MSC: 65L06 65L05 34A34 65L20 PDF BibTeX XML Cite \textit{C. E. Abhulimen} and \textit{J. A. Uloko}, J. Appl. Math. Bioinform. 2, No. 3, 17--31 (2012; Zbl 1309.65082) OpenURL
Musa, H.; Suleiman, M. B.; Senu, N. Fully implicit 3-point block extended backward differentiation formula for stiff initial value problems. (English) Zbl 1266.65126 Appl. Math. Sci., Ruse 6, No. 85-88, 4211-4228 (2012). MSC: 65L05 65L04 34A30 34A34 65L20 65L06 PDF BibTeX XML Cite \textit{H. Musa} et al., Appl. Math. Sci., Ruse 6, No. 85--88, 4211--4228 (2012; Zbl 1266.65126) Full Text: Link OpenURL
D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw Perturbed MEBDF methods. (English) Zbl 1247.65091 Comput. Math. Appl. 63, No. 4, 851-861 (2012). MSC: 65L04 65L06 65L80 PDF BibTeX XML Cite \textit{R. D'Ambrosio} et al., Comput. Math. Appl. 63, No. 4, 851--861 (2012; Zbl 1247.65091) Full Text: DOI OpenURL
D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z. Search for highly stable two-step Runge-Kutta methods. (English) Zbl 1252.65119 Appl. Numer. Math. 62, No. 10, 1361-1379 (2012). MSC: 65L06 PDF BibTeX XML Cite \textit{R. D'Ambrosio} et al., Appl. Numer. Math. 62, No. 10, 1361--1379 (2012; Zbl 1252.65119) Full Text: DOI OpenURL
González-Pinto, S.; Hernández-Abreu, D.; Montijano, J. I. An efficient family of strongly A-stable Runge-Kutta collocation methods for stiff systems and DAEs. II: Convergence results. (English) Zbl 1260.65064 Appl. Numer. Math. 62, No. 10, 1349-1360 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L20 65L04 65L80 65L60 34A09 34A34 PDF BibTeX XML Cite \textit{S. González-Pinto} et al., Appl. Numer. Math. 62, No. 10, 1349--1360 (2012; Zbl 1260.65064) Full Text: DOI OpenURL
D’Ambrosio, Raffaele; Paternoster, Beatrice Two-step modified collocation methods with structured coefficient matrices. (English) Zbl 1251.65115 Appl. Numer. Math. 62, No. 10, 1325-1334 (2012). MSC: 65L60 65L05 65L06 65L20 34A34 PDF BibTeX XML Cite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, Appl. Numer. Math. 62, No. 10, 1325--1334 (2012; Zbl 1251.65115) Full Text: DOI OpenURL
Abdi, A.; Butcher, J. C. Order bounds for second derivative approximations. (English) Zbl 1247.65103 BIT 52, No. 2, 273-281 (2012). MSC: 65L20 65L05 65L06 34A34 PDF BibTeX XML Cite \textit{A. Abdi} and \textit{J. C. Butcher}, BIT 52, No. 2, 273--281 (2012; Zbl 1247.65103) Full Text: DOI OpenURL
Vitásek, Emil Approximate solution of an inhomogeneous abstract differential equation. (English) Zbl 1249.34169 Appl. Math., Praha 57, No. 1, 31-41 (2012). Reviewer: Karel Najzar (Praha) MSC: 34G10 47D03 34A45 PDF BibTeX XML Cite \textit{E. Vitásek}, Appl. Math., Praha 57, No. 1, 31--41 (2012; Zbl 1249.34169) Full Text: DOI EuDML Link OpenURL
Abdi, A.; Butcher, J. C. Applications of order arrows. (English) Zbl 1241.65070 Appl. Numer. Math. 62, No. 5, 556-566 (2012). MSC: 65L20 65L06 65L05 34A34 PDF BibTeX XML Cite \textit{A. Abdi} and \textit{J. C. Butcher}, Appl. Numer. Math. 62, No. 5, 556--566 (2012; Zbl 1241.65070) Full Text: DOI OpenURL
Wen, Liping; Liu, Xiong Numerical stability of one-leg methods for neutral delay differential equations. (English) Zbl 1243.65081 BIT 52, No. 1, 251-269 (2012). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L07 65L20 65L03 34K28 34K40 PDF BibTeX XML Cite \textit{L. Wen} and \textit{X. Liu}, BIT 52, No. 1, 251--269 (2012; Zbl 1243.65081) Full Text: DOI OpenURL
Novikov, Evgeniĭ Aleksandrovich Maximal order of accuracy of \((m, 1)\)-methods for solving stiff problems. (Russian. English summary) Zbl 1449.65151 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 3(24), 100-107 (2011). MSC: 65L04 65L20 65L05 34A34 PDF BibTeX XML Cite \textit{E. A. Novikov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 3(24), 100--107 (2011; Zbl 1449.65151) Full Text: DOI MNR OpenURL
Bulatov, M. V.; Tygliyan, A. V.; Filippov, S. S. A class of one-step one-stage methods for stiff systems of ordinary differential equations. (Russian, English) Zbl 1249.65144 Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1251-1265 (2011); translation in Comput. Math. Math. Phys. 51, No. 7, 1167-1180 (2011). MSC: 65L05 65L04 34A34 65L20 PDF BibTeX XML Cite \textit{M. V. Bulatov} et al., Zh. Vychisl. Mat. Mat. Fiz. 51, No. 7, 1251--1265 (2011; Zbl 1249.65144); translation in Comput. Math. Math. Phys. 51, No. 7, 1167--1180 (2011) Full Text: DOI OpenURL
Wu, Xinyuan; Wang, Zhengyu A new iterative refinement with roundoff error analysis. (English) Zbl 1249.65058 Numer. Linear Algebra Appl. 18, No. 2, 275-282 (2011). MSC: 65F05 65F10 65G50 PDF BibTeX XML Cite \textit{X. Wu} and \textit{Z. Wang}, Numer. Linear Algebra Appl. 18, No. 2, 275--282 (2011; Zbl 1249.65058) Full Text: DOI OpenURL
Kim, Sangdong; Kwon, Jongkyum; Piao, Xiangfan; Kim, Philsu A Chebyshev collocation method for stiff initial value problems and its stability. (English) Zbl 1298.65115 Kyungpook Math. J. 51, No. 4, 435-456 (2011). Reviewer: Yajuan Sun (Beijing) MSC: 65L60 65L06 65L05 65L04 65L20 PDF BibTeX XML Cite \textit{S. Kim} et al., Kyungpook Math. J. 51, No. 4, 435--456 (2011; Zbl 1298.65115) Full Text: DOI OpenURL
Ebadi, M.; Gokhale, M. Y. Class 2 + 1 hybrid BDF-like methods for the numerical solutions of ordinary differential equations. (English) Zbl 1239.65043 Calcolo 48, No. 4, 273-291 (2011). MSC: 65L05 65L06 65L04 34A34 65L20 65L70 PDF BibTeX XML Cite \textit{M. Ebadi} and \textit{M. Y. Gokhale}, Calcolo 48, No. 4, 273--291 (2011; Zbl 1239.65043) Full Text: DOI OpenURL
Kim, Philsu; Piao, Xiangfan; Kim, Sang Dong An error corrected Euler method for solving stiff problems based on Chebyshev collocation. (English) Zbl 1273.65095 SIAM J. Numer. Anal. 49, No. 6, 2211-2230 (2011). MSC: 65L04 65L60 65L20 PDF BibTeX XML Cite \textit{P. Kim} et al., SIAM J. Numer. Anal. 49, No. 6, 2211--2230 (2011; Zbl 1273.65095) Full Text: DOI OpenURL
Wen, Zhiwu; Zhu, Ting; Xiao, Aiguo Two classes of three-stage diagonally-implicit Runge-Kutta methods with an explicit stage for stiff oscillatory problems. (Chinese. English summary) Zbl 1240.65206 Math. Appl. 24, No. 1, 96-103 (2011). MSC: 65L04 65L06 65L05 86A10 86-08 65L20 34A34 65L70 PDF BibTeX XML Cite \textit{Z. Wen} et al., Math. Appl. 24, No. 1, 96--103 (2011; Zbl 1240.65206) OpenURL
Conte, D.; D’Ambrosio, R.; Paternoster, B. Construction of diagonally implicit almost collocation methods for Volterra integral equations. (English) Zbl 1238.65126 Riv. Mat. Univ. Parma (N.S.) 2, No. 1, 125-146 (2011). MSC: 65R20 45D05 45G10 PDF BibTeX XML Cite \textit{D. Conte} et al., Riv. Mat. Univ. Parma (N.S.) 2, No. 1, 125--146 (2011; Zbl 1238.65126) OpenURL
Ebadi, Moosa A class of multistep methods based on a super-future points technique for solving IVPs. (English) Zbl 1222.65065 Comput. Math. Appl. 61, No. 11, 3288-3297 (2011). MSC: 65L06 65L04 65L20 PDF BibTeX XML Cite \textit{M. Ebadi}, Comput. Math. Appl. 61, No. 11, 3288--3297 (2011; Zbl 1222.65065) Full Text: DOI OpenURL
Liu, Jiangguo; Tavener, Simon Semi-implicit spectral collocation methods for reaction-diffusion equations on annuli. (English) Zbl 1226.65088 Numer. Methods Partial Differ. Equations 27, No. 5, 1113-1129 (2011). MSC: 65M70 65M12 35K57 PDF BibTeX XML Cite \textit{J. Liu} and \textit{S. Tavener}, Numer. Methods Partial Differ. Equations 27, No. 5, 1113--1129 (2011; Zbl 1226.65088) Full Text: DOI OpenURL
Abdi, A.; Hojjati, G. Maximal order for second derivative general linear methods with Runge-Kutta stability. (English) Zbl 1227.65063 Appl. Numer. Math. 61, No. 10, 1046-1058 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L05 65L04 65L20 65Y05 34A34 PDF BibTeX XML Cite \textit{A. Abdi} and \textit{G. Hojjati}, Appl. Numer. Math. 61, No. 10, 1046--1058 (2011; Zbl 1227.65063) Full Text: DOI OpenURL
Murshed, Abdulhabib A. A. Diagonally implicit fourth-order Runge-Kutta method for ordinary differential equations with bigger stability region. (English) Zbl 1229.65122 Int. J. Appl. Math. 24, No. 1, 89-103 (2011). MSC: 65L06 65L20 65L05 34A34 PDF BibTeX XML Cite \textit{A. A. A. Murshed}, Int. J. Appl. Math. 24, No. 1, 89--103 (2011; Zbl 1229.65122) OpenURL
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw Construction and implementation of highly stable two-step continuous methods for stiff differential systems. (English) Zbl 1220.65096 Math. Comput. Simul. 81, No. 9, 1707-1728 (2011). MSC: 65L06 65L05 65L04 34A34 65L20 65L50 65L70 PDF BibTeX XML Cite \textit{R. D'Ambrosio} and \textit{Z. Jackiewicz}, Math. Comput. Simul. 81, No. 9, 1707--1728 (2011; Zbl 1220.65096) Full Text: DOI OpenURL
González-Pinto, S.; Hernández-Abreu, D. Global error estimates for a uniparametric family of stiffly accurate Runge-Kutta collocation methods on singularly perturbed problems. (English) Zbl 1217.65158 BIT 51, No. 1, 155-175 (2011). Reviewer: Joseph Páez Chávez (Guayaquil) MSC: 65L70 65L06 65L04 65L11 65L20 34A34 34E15 65L60 65L05 PDF BibTeX XML Cite \textit{S. González-Pinto} and \textit{D. Hernández-Abreu}, BIT 51, No. 1, 155--175 (2011; Zbl 1217.65158) Full Text: DOI OpenURL
Babatola, P. O. A new class of A-stable implicit schemes for treatment of stiff system of ordinary differential equations. (English) Zbl 1229.65117 Glob. J. Math. Stat. 2, No. 2, 133-142 (2010). MSC: 65L06 65L05 65L20 34A34 65L04 PDF BibTeX XML Cite \textit{P. O. Babatola}, Glob. J. Math. Stat. 2, No. 2, 133--142 (2010; Zbl 1229.65117) OpenURL
Babatola, P. O.; Ademiluyi, R. A.; Areo, E. A. Convergent \(k\)-step implicit rational Runge-Kutta method for solution of stiff ordinary differential equations. (English) Zbl 1229.65135 Glob. J. Math. Stat. 2, No. 2, 113-122 (2010). MSC: 65L20 34A34 65L05 65L04 65L06 PDF BibTeX XML Cite \textit{P. O. Babatola} et al., Glob. J. Math. Stat. 2, No. 2, 113--122 (2010; Zbl 1229.65135) OpenURL
Boroni, Gustavo; Lotito, Pablo; Clausse, Alejandro New implicit multistep method for ODE’s. (English) Zbl 1229.65118 Rev. Acad. Colomb. Cienc. Exactas, Fis. Nat. 34, No. 133, 521-527 (2010). MSC: 65L06 65L05 65L04 65L20 34A34 PDF BibTeX XML Cite \textit{G. Boroni} et al., Rev. Acad. Colomb. Cienc. Exactas, Fis. Nat. 34, No. 133, 521--527 (2010; Zbl 1229.65118) OpenURL
Hu, Peng; Huang, Chengming Asymptotic stability of linear multistep methods for delay integro-differential equations. (Chinese. English summary) Zbl 1240.65378 J. Numer. Methods Comput. Appl. 31, No. 2, 116-122 (2010). MSC: 65R20 45J05 45A05 PDF BibTeX XML Cite \textit{P. Hu} and \textit{C. Huang}, J. Numer. Methods Comput. Appl. 31, No. 2, 116--122 (2010; Zbl 1240.65378) OpenURL
Muka, K. O.; Ikhile, M. N. O. Second derivative parallel one block two point stabilised Simpson’s method. (English) Zbl 1217.65026 J. Interdiscip. Math. 13, No. 2, 185-191 (2010). MSC: 65C99 PDF BibTeX XML Cite \textit{K. O. Muka} and \textit{M. N. O. Ikhile}, J. Interdiscip. Math. 13, No. 2, 185--191 (2010; Zbl 1217.65026) Full Text: DOI OpenURL
Conte, D.; D’Ambrosio, R.; Jackiewicz, Z. Two-step Runge-Kutta methods with quadratic stability functions. (English) Zbl 1203.65107 J. Sci. Comput. 44, No. 2, 191-218 (2010). MSC: 65L06 PDF BibTeX XML Cite \textit{D. Conte} et al., J. Sci. Comput. 44, No. 2, 191--218 (2010; Zbl 1203.65107) Full Text: DOI OpenURL
Brugnano, Luigi; Iavernaro, Felice; Trigiante, Donato Numerical solution of ODEs and the Columbus’ egg: three simple ideas for three difficult problems. (English) Zbl 1206.65252 Math. Eng. Sci. Aerosp. MESA 1, No. 4, 407-426 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{L. Brugnano} et al., Math. Eng. Sci. Aerosp. MESA 1, No. 4, 407--426 (2010; Zbl 1206.65252) Full Text: arXiv Link OpenURL
Conte, Dajana; D’Ambrosio, Raffaele; Paternoster; Beatrice; Ferro, Maria Practical construction of two-step collocation Runge-Kutta methods for ordinary differential equations. (English) Zbl 1203.65108 De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 278-288 (2010). MSC: 65L06 65L05 65L60 34A34 65L20 PDF BibTeX XML Cite \textit{D. Conte} et al., Ser. Adv. Math. Appl. Sci. 82, 278--288 (2010; Zbl 1203.65108) OpenURL
Conte, Dajana; D’Ambrosio, Raffaele; Ferro, Maria; Paternoster, Beatrice Modified collocation techniques for Volterra integral equations. (English) Zbl 1203.65285 De Bernardis, Enrico (ed.) et al., Applied and industrial mathematics in Italy III. Selected contributions from the 9th SIMAI conference, Rome, Italy, September 15–19, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4280-29-7/hbk). Series on Advances in Mathematics for Applied Sciences 82, 268-277 (2010). MSC: 65R20 45G10 45D05 PDF BibTeX XML Cite \textit{D. Conte} et al., Ser. Adv. Math. Appl. Sci. 82, 268--277 (2010; Zbl 1203.65285) OpenURL
de la Cruz Cancino, H.; Biscay, R. J.; Jimenez, J. C.; Carbonell, F.; Ozaki, T. High order local linearization methods: an approach for constructing A-stable explicit schemes for stochastic differential equations with additive noise. (English) Zbl 1205.65027 BIT 50, No. 3, 509-539 (2010). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 60H10 60H35 34F05 65L06 65L05 65L20 PDF BibTeX XML Cite \textit{H. de la Cruz Cancino} et al., BIT 50, No. 3, 509--539 (2010; Zbl 1205.65027) Full Text: DOI OpenURL
Yu, Yuexin; Wen, Liping Stability analysis of one-leg methods for nonlinear functional differential and functional equations. (English) Zbl 1202.65087 J. Comput. Appl. Math. 235, No. 3, 817-824 (2010). Reviewer: R. S. Dahiya (Ames) MSC: 65L03 PDF BibTeX XML Cite \textit{Y. Yu} and \textit{L. Wen}, J. Comput. Appl. Math. 235, No. 3, 817--824 (2010; Zbl 1202.65087) Full Text: DOI OpenURL
Muka, K. O.; Ikhile, M. N. O. Parallel one block two point method. (English) Zbl 1202.65089 J. Inst. Math. Comput. Sci., Math. Ser. 23, No. 1, 7-14 (2010). MSC: 65L05 34A34 65L20 65L04 65Y05 PDF BibTeX XML Cite \textit{K. O. Muka} and \textit{M. N. O. Ikhile}, J. Inst. Math. Comput. Sci., Math. Ser. 23, No. 1, 7--14 (2010; Zbl 1202.65089) OpenURL
Ebadi, Moosa; Gokhale, M. Y. Hybrid BDF methods for the numerical solutions of ordinary differential equations. (English) Zbl 1197.65079 Numer. Algorithms 55, No. 1, 1-17 (2010). MSC: 65L05 65L06 65L20 34A34 PDF BibTeX XML Cite \textit{M. Ebadi} and \textit{M. Y. Gokhale}, Numer. Algorithms 55, No. 1, 1--17 (2010; Zbl 1197.65079) Full Text: DOI OpenURL
Wang, Xiaojie; Gan, Siqing Compensated stochastic theta methods for stochastic differential equations with jumps. (English) Zbl 1198.65034 Appl. Numer. Math. 60, No. 9, 877-887 (2010). Reviewer: Melvin D. Lax (Long Beach) MSC: 65C30 PDF BibTeX XML Cite \textit{X. Wang} and \textit{S. Gan}, Appl. Numer. Math. 60, No. 9, 877--887 (2010; Zbl 1198.65034) Full Text: DOI OpenURL
Boroni, G.; Lotito, P.; Clausse, A. Improved multistep method with non-linear corrections. (English) Zbl 1190.65111 Int. J. Numer. Methods Biomed. Eng. 26, No. 5, 574-586 (2010). MSC: 65L06 65L05 34A34 65L20 PDF BibTeX XML Cite \textit{G. Boroni} et al., Int. J. Numer. Methods Biomed. Eng. 26, No. 5, 574--586 (2010; Zbl 1190.65111) Full Text: DOI OpenURL
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw Continuous two-step Runge-Kutta methods for ordinary differential equations. (English) Zbl 1191.65092 Numer. Algorithms 54, No. 2, 169-193 (2010). Reviewer: R. K. Mohanty (Delhi) MSC: 65L06 65L20 65L05 34A34 PDF BibTeX XML Cite \textit{R. D'Ambrosio} and \textit{Z. Jackiewicz}, Numer. Algorithms 54, No. 2, 169--193 (2010; Zbl 1191.65092) Full Text: DOI OpenURL
González-Pinto, S.; Hernández-Abreu, D.; Montijano, J. I. An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results. (English) Zbl 1191.65110 J. Comput. Appl. Math. 234, No. 4, 1105-1116 (2010). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 65L06 65L80 65L05 34A09 PDF BibTeX XML Cite \textit{S. González-Pinto} et al., J. Comput. Appl. Math. 234, No. 4, 1105--1116 (2010; Zbl 1191.65110) Full Text: DOI OpenURL
D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B. Two-step almost collocation methods for ordinary differential equations. (English) Zbl 1186.65107 Numer. Algorithms 53, No. 2-3, 195-217 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 65L60 65L05 34A34 65L20 65L70 PDF BibTeX XML Cite \textit{R. D'Ambrosio} et al., Numer. Algorithms 53, No. 2--3, 195--217 (2010; Zbl 1186.65107) Full Text: DOI OpenURL
Villatoro, Francisco R. Stability by order stars for non-linear theta-methods based on means. (English) Zbl 1182.65129 Int. J. Comput. Math. 87, No. 1, 226-242 (2010). MSC: 65L20 65L05 34A34 PDF BibTeX XML Cite \textit{F. R. Villatoro}, Int. J. Comput. Math. 87, No. 1, 226--242 (2010; Zbl 1182.65129) Full Text: DOI OpenURL
Deng, Yi-hua Numerical stability of one-leg methods for a kind of delay integro-differential equation. (Chinese. English summary) Zbl 1222.65143 J. Anhui Univ., Nat. Sci. 33, No. 1, 1-4 (2009). MSC: 65R20 45J05 45G10 PDF BibTeX XML Cite \textit{Y.-h. Deng}, J. Anhui Univ., Nat. Sci. 33, No. 1, 1--4 (2009; Zbl 1222.65143) OpenURL
Butcher, J. C. Forty-five years of A-stability. (English) Zbl 1191.65109 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1-2, 1-9 (2009). MSC: 65L20 65-03 01A60 65L05 65L06 34A34 PDF BibTeX XML Cite \textit{J. C. Butcher}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1--2, 1--9 (2009; Zbl 1191.65109) OpenURL