Zhong, Ming; Yan, Zhenya Data-driven forward and inverse problems for chaotic and hyperchaotic dynamic systems based on two machine learning architectures. (English) Zbl 1512.37095 Physica D 446, Article ID 133656, 19 p. (2023). MSC: 37M05 37M22 PDFBibTeX XMLCite \textit{M. Zhong} and \textit{Z. Yan}, Physica D 446, Article ID 133656, 19 p. (2023; Zbl 1512.37095) Full Text: DOI
Nóvoa, A.; Magri, L. Real-time thermoacoustic data assimilation. (English) Zbl 1521.76751 J. Fluid Mech. 948, Paper No. A35, 40 p. (2022). MSC: 76M99 76M35 76Q05 76N25 68T05 PDFBibTeX XMLCite \textit{A. Nóvoa} and \textit{L. Magri}, J. Fluid Mech. 948, Paper No. A35, 40 p. (2022; Zbl 1521.76751) Full Text: DOI arXiv
Siettos, Constantinos; Russo, Lucia A numerical method for the approximation of stable and unstable manifolds of microscopic simulators. (English) Zbl 1491.65162 Numer. Algorithms 89, No. 3, 1335-1368 (2022). MSC: 65P40 37M05 PDFBibTeX XMLCite \textit{C. Siettos} and \textit{L. Russo}, Numer. Algorithms 89, No. 3, 1335--1368 (2022; Zbl 1491.65162) Full Text: DOI arXiv
Zukovic, Miodrag; Hajradinovic, Dzanko; Kovacic, Ivana On the dynamics of vibro-impact systems with ideal and non-ideal excitation. (English) Zbl 1528.70030 Meccanica 56, No. 2, 439-460 (2021). MSC: 70K40 70E55 70-08 PDFBibTeX XMLCite \textit{M. Zukovic} et al., Meccanica 56, No. 2, 439--460 (2021; Zbl 1528.70030) Full Text: DOI
Alì, Giuseppe; Bilotta, Eleonora; Chiaravalloti, Francesco; Pantano, Pietro; Pezzi, Oreste; Scuro, Carmelo; Valentini, Francesco Spatiotemporal pattern formation in a ring of Chua’s oscillators. (English) Zbl 1478.34050 Regul. Chaotic Dyn. 26, No. 6, 717-731 (2021). MSC: 34C28 34C23 37G15 65Pxx PDFBibTeX XMLCite \textit{G. Alì} et al., Regul. Chaotic Dyn. 26, No. 6, 717--731 (2021; Zbl 1478.34050) Full Text: DOI
Garashchuk, I. R. Asynchronous chaos and bifurcations in a model of two coupled identical Hindmarsh-Rose neurons. (English) Zbl 1489.37070 Russ. J. Nonlinear Dyn. 17, No. 3, 307-320 (2021). MSC: 37G35 37G15 92B20 70K50 PDFBibTeX XMLCite \textit{I. R. Garashchuk}, Russ. J. Nonlinear Dyn. 17, No. 3, 307--320 (2021; Zbl 1489.37070) Full Text: DOI MNR
Xu, Yian; Asadi-Zeydabadi, Masoud; Tagg, Randall; Shindell, Orrin Universality in kinetic models of circadian rhythms in Arabidopsis thaliana. (English) Zbl 1484.37115 J. Math. Biol. 83, No. 5, Paper No. 51, 11 p. (2021). Reviewer: Junliang Lu (Kunming) MSC: 37N25 37G10 37G15 37M20 34C15 92B25 92D10 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Math. Biol. 83, No. 5, Paper No. 51, 11 p. (2021; Zbl 1484.37115) Full Text: DOI arXiv
Bitar, D.; Ture Savadkoohi, A.; Lamarque, C.-H.; Gourdon, E.; Collet, M. Extended complexification method to study nonlinear passive control. (English) Zbl 1459.93066 Nonlinear Dyn. 99, No. 2, 1433-1450 (2020). MSC: 93C10 34E13 70J35 PDFBibTeX XMLCite \textit{D. Bitar} et al., Nonlinear Dyn. 99, No. 2, 1433--1450 (2020; Zbl 1459.93066) Full Text: DOI HAL
Gzal, Majdi; Gendelman, O. V. Edge states and frequency response in nonlinear forced-damped model of valve spring. (English) Zbl 1430.37129 Nonlinear Dyn. 99, No. 1, 661-678 (2020). MSC: 37N99 70K50 PDFBibTeX XMLCite \textit{M. Gzal} and \textit{O. V. Gendelman}, Nonlinear Dyn. 99, No. 1, 661--678 (2020; Zbl 1430.37129) Full Text: DOI
Singh, Gurjinder; Garg, Arvind; Kanwar, V.; Ramos, Higinio An efficient optimized adaptive step-size hybrid block method for integrating differential systems. (English) Zbl 1433.65128 Appl. Math. Comput. 362, Article ID 124567, 10 p. (2019). MSC: 65L05 34A34 65L06 65L20 PDFBibTeX XMLCite \textit{G. Singh} et al., Appl. Math. Comput. 362, Article ID 124567, 10 p. (2019; Zbl 1433.65128) Full Text: DOI
Liang, Shiuan-Ni; Le, Duy-Manh; Lai, Pik-Yin Cardiac alternans suppression under \(T\pm\epsilon\) feedback control: nonlinear dynamics analysis. (English) Zbl 1435.39004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 13, Article ID 1930036, 15 p. (2019). MSC: 39A60 92C20 39A28 39A30 39A33 93C55 93B52 PDFBibTeX XMLCite \textit{S.-N. Liang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 13, Article ID 1930036, 15 p. (2019; Zbl 1435.39004) Full Text: DOI
Abdi, A.; Jackiewicz, Z. Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability. (English) Zbl 1405.65086 Appl. Numer. Math. 136, 103-121 (2019). MSC: 65L06 65L70 65L50 65L20 34A34 65L05 PDFBibTeX XMLCite \textit{A. Abdi} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 136, 103--121 (2019; Zbl 1405.65086) Full Text: DOI
Spiliotis, Konstantinos; Russo, Lucia; Giannino, Francesco; Cuomo, Salvatore; Siettos, Constantinos; Toraldo, Gerardo Nonlinear Galerkin methods for a system of PDEs with Turing instabilities. (English) Zbl 1448.65247 Calcolo 55, No. 1, Paper No. 9, 23 p. (2018). MSC: 65N30 65M06 65L05 37L65 35B40 35B36 35B38 35B32 92C80 92C15 PDFBibTeX XMLCite \textit{K. Spiliotis} et al., Calcolo 55, No. 1, Paper No. 9, 23 p. (2018; Zbl 1448.65247) Full Text: DOI
Kopecz, S.; Meister, A. On order conditions for modified Patankar-Runge-Kutta schemes. (English) Zbl 1377.65089 Appl. Numer. Math. 123, 159-179 (2018). MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{S. Kopecz} and \textit{A. Meister}, Appl. Numer. Math. 123, 159--179 (2018; Zbl 1377.65089) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{H. Ramos} et al., Numer. Algorithms 75, No. 3, 509--529 (2017; Zbl 1380.65121) Full Text: DOI
Famelis, I. Th.; Jackiewicz, Z. A new approach to the construction of DIMSIMs of high order and stage order. (English) Zbl 1368.65109 Appl. Numer. Math. 119, 79-93 (2017). MSC: 65L05 65L06 34A34 65L70 PDFBibTeX XMLCite \textit{I. Th. Famelis} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 119, 79--93 (2017; Zbl 1368.65109) Full Text: DOI
Soleimani, Behnam; Knoth, Oswald; Weiner, Rüdiger IMEX peer methods for fast-wave-slow-wave problems. (English) Zbl 1367.65111 Appl. Numer. Math. 118, 221-237 (2017). MSC: 65L05 34A34 65L04 86A10 PDFBibTeX XMLCite \textit{B. Soleimani} et al., Appl. Numer. Math. 118, 221--237 (2017; Zbl 1367.65111) Full Text: DOI
Ramos, Higinio; Singh, Gurjinder; Kanwar, V.; Bhatia, Saurabh Solving first-order initial-value problems by using an explicit non-standard \(A\)-stable one-step method in variable step-size formulation. (English) Zbl 1410.65256 Appl. Math. Comput. 268, 796-805 (2015). MSC: 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{H. Ramos} et al., Appl. Math. Comput. 268, 796--805 (2015; Zbl 1410.65256) Full Text: DOI
Wei, Jiamin; Yu, Yongguang; Wang, Sha Parameter estimation for noisy chaotic systems based on an improved particle swarm optimization algorithm. (English) Zbl 1330.93222 J. Appl. Anal. Comput. 5, No. 2, 232-242 (2015). MSC: 93E10 34F05 34G20 34H10 65K05 90C59 PDFBibTeX XMLCite \textit{J. Wei} et al., J. Appl. Anal. Comput. 5, No. 2, 232--242 (2015; Zbl 1330.93222)
Chalishajar, Dimplekumar; Chalishajar, Heena Trajectory controllability of second order nonlinear integro-differential system: an analytical and a numerical estimation. (English) Zbl 1321.93014 Differ. Equ. Dyn. Syst. 23, No. 4, 467-481 (2015). MSC: 93B05 93C10 93C15 93B40 PDFBibTeX XMLCite \textit{D. Chalishajar} and \textit{H. Chalishajar}, Differ. Equ. Dyn. Syst. 23, No. 4, 467--481 (2015; Zbl 1321.93014) Full Text: DOI
Dehghan, Mehdi; Sabouri, Mania A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations. (English) Zbl 1352.65389 Appl. Math. Modelling 37, No. 3, 1028-1038 (2013). MSC: 65M70 65M60 35K51 35Q92 92D25 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Sabouri}, Appl. Math. Modelling 37, No. 3, 1028--1038 (2013; Zbl 1352.65389) Full Text: DOI
Ibrahim, Zarina Bibi; Othman, Khairil Iskandar; Suleiman, Mohamed 2-point block predictor-corrector of backward differentiation formulas for solving second order ordinary differential equations directly. (English) Zbl 1303.65059 Chiang Mai J. Sci. 39, No. 3, 502-510 (2012). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{Z. B. Ibrahim} et al., Chiang Mai J. Sci. 39, No. 3, 502--510 (2012; Zbl 1303.65059)
Chiavazzo, Eliodoro Approximation of slow and fast dynamics in multiscale dynamical systems by the linearized relaxation redistribution method. (English) Zbl 1242.65131 J. Comput. Phys. 231, No. 4, 1751-1765 (2012). MSC: 65L05 65L04 34A34 80A25 PDFBibTeX XMLCite \textit{E. Chiavazzo}, J. Comput. Phys. 231, No. 4, 1751--1765 (2012; Zbl 1242.65131) Full Text: DOI arXiv
Porubov, A. V.; Maugin, G. A.; Andrievsky, B. R. Solitary wave interactions and reshaping in coupled systems. (English) Zbl 1365.35090 Wave Motion 48, No. 8, 773-781 (2011). MSC: 35L51 35L71 65M20 35Q51 PDFBibTeX XMLCite \textit{A. V. Porubov} et al., Wave Motion 48, No. 8, 773--781 (2011; Zbl 1365.35090) Full Text: DOI
Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. Projection methods preserving Lyapunov functions. (English) Zbl 1194.65090 BIT 50, No. 2, 223-241 (2010). Reviewer: Othmar Koch (Baden) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{M. Calvo} et al., BIT 50, No. 2, 223--241 (2010; Zbl 1194.65090) Full Text: DOI
Luo, Xin-Long A second-order pseudo-transient method for steady-state problems. (English) Zbl 1197.65050 Appl. Math. Comput. 216, No. 6, 1752-1762 (2010). Reviewer: Jiří Vaníček (Praha) MSC: 65H10 PDFBibTeX XMLCite \textit{X.-L. Luo}, Appl. Math. Comput. 216, No. 6, 1752--1762 (2010; Zbl 1197.65050) Full Text: DOI
Nordmark, Arne B.; Piiroinen, Petri T. Simulation and stability analysis of impacting systems with complete chattering. (English) Zbl 1183.70038 Nonlinear Dyn. 58, No. 1-2, 85-106 (2009). MSC: 70K20 70K50 70F35 PDFBibTeX XMLCite \textit{A. B. Nordmark} and \textit{P. T. Piiroinen}, Nonlinear Dyn. 58, No. 1--2, 85--106 (2009; Zbl 1183.70038) Full Text: DOI
Alexe, Mihai; Sandu, Adrian On the discrete adjoints of adaptive time stepping algorithms. (English) Zbl 1177.65098 J. Comput. Appl. Math. 233, No. 4, 1005-1020 (2009). MSC: 65L05 65L06 34A34 65L50 65L20 65L70 PDFBibTeX XMLCite \textit{M. Alexe} and \textit{A. Sandu}, J. Comput. Appl. Math. 233, No. 4, 1005--1020 (2009; Zbl 1177.65098) Full Text: DOI
Weiner, Rüdiger; Schmitt, Bernhard A.; Podhaisky, Helmut; Jebens, Stefan Superconvergent explicit two-step peer methods. (English) Zbl 1166.65037 J. Comput. Appl. Math. 223, No. 2, 753-764 (2009). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L20 34A34 PDFBibTeX XMLCite \textit{R. Weiner} et al., J. Comput. Appl. Math. 223, No. 2, 753--764 (2009; Zbl 1166.65037) Full Text: DOI
Hoang, Nguyen S.; Sidje, Roger B. Functionally fitted explicit pseudo two-step Runge-Kutta methods. (English) Zbl 1158.65050 Appl. Numer. Math. 59, No. 1, 39-55 (2009). Reviewer: R. Militaru (Craiova) MSC: 65L06 34A34 65L20 65L70 65L50 PDFBibTeX XMLCite \textit{N. S. Hoang} and \textit{R. B. Sidje}, Appl. Numer. Math. 59, No. 1, 39--55 (2009; Zbl 1158.65050) Full Text: DOI
Abelman, Shirley; Patidar, Kailash C. Comparison of some recent numerical methods for initial-value problems for stiff ordinary differential equations. (English) Zbl 1142.65054 Comput. Math. Appl. 55, No. 4, 733-744 (2008). MSC: 65L05 34A34 65L12 80A25 PDFBibTeX XMLCite \textit{S. Abelman} and \textit{K. C. Patidar}, Comput. Math. Appl. 55, No. 4, 733--744 (2008; Zbl 1142.65054) Full Text: DOI
Weiner, Rüdiger; Biermann, Katja; Schmitt, Bernhard A.; Podhaisky, Helmut Explicit two-step peer methods. (English) Zbl 1142.65060 Comput. Math. Appl. 55, No. 4, 609-619 (2008). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{R. Weiner} et al., Comput. Math. Appl. 55, No. 4, 609--619 (2008; Zbl 1142.65060) Full Text: DOI
Novati, Paolo Some secant approximations for Rosenbrock \(W\)-methods. (English) Zbl 1135.65343 Appl. Numer. Math. 58, No. 3, 195-211 (2008). MSC: 65L05 65L06 34A34 65M20 35K55 PDFBibTeX XMLCite \textit{P. Novati}, Appl. Numer. Math. 58, No. 3, 195--211 (2008; Zbl 1135.65343) Full Text: DOI
Novati, Paolo On the construction of restricted-denominator exponential W-methods. (English) Zbl 1141.65058 J. Comput. Appl. Math. 212, No. 1, 86-101 (2008). Reviewer: Othmar Koch (Baden) MSC: 65L05 65M20 34A34 35K55 65F10 65L50 PDFBibTeX XMLCite \textit{P. Novati}, J. Comput. Appl. Math. 212, No. 1, 86--101 (2008; Zbl 1141.65058) Full Text: DOI
Vigo-Aguiar, J.; Martín-Vaquero, J. Exponential fitting BDF algorithms and their properties. (English) Zbl 1126.65060 Appl. Math. Comput. 190, No. 1, 80-110 (2007). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L05 65L06 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{J. Martín-Vaquero}, Appl. Math. Comput. 190, No. 1, 80--110 (2007; Zbl 1126.65060) Full Text: DOI
Jannelli, Alessandra; Fazio, Riccardo Adaptive stiff solvers at low accuracy and complexity. (English) Zbl 1089.65061 J. Comput. Appl. Math. 191, No. 2, 246-258 (2006). MSC: 65L05 34A34 65L50 65Y20 65L70 PDFBibTeX XMLCite \textit{A. Jannelli} and \textit{R. Fazio}, J. Comput. Appl. Math. 191, No. 2, 246--258 (2006; Zbl 1089.65061) Full Text: DOI
Enright, W. H. Software for ordinary and delay differential equations: Accurate discrete approximate solutions are not enough. (English) Zbl 1089.65081 Appl. Numer. Math. 56, No. 3-4, 459-471 (2006). MSC: 65L80 65L50 65L05 34A34 34K28 PDFBibTeX XMLCite \textit{W. H. Enright}, Appl. Numer. Math. 56, No. 3--4, 459--471 (2006; Zbl 1089.65081) Full Text: DOI
Enright, W. H. Verifying approximate solutions to differential equations. (English) Zbl 1077.65076 J. Comput. Appl. Math. 185, No. 2, 203-211 (2006). MSC: 65L05 34A34 65G20 65Y20 PDFBibTeX XMLCite \textit{W. H. Enright}, J. Comput. Appl. Math. 185, No. 2, 203--211 (2006; Zbl 1077.65076) Full Text: DOI
Shampine, L. F.; Thompson, S.; Kierzenka, J. A.; Byrne, G. D. Nonnegative solutions of ODEs. (English) Zbl 1082.65547 Appl. Math. Comput. 170, No. 1, 556-569 (2005). MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{L. F. Shampine} et al., Appl. Math. Comput. 170, No. 1, 556--569 (2005; Zbl 1082.65547) Full Text: DOI
Bartoszewski, Z.; Jackiewicz, Z. Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations. (English) Zbl 1086.65069 Appl. Numer. Math. 53, No. 2-4, 149-163 (2005). Reviewer: John C. Butcher (Auckland) MSC: 65L06 65L05 34A34 65L70 PDFBibTeX XMLCite \textit{Z. Bartoszewski} and \textit{Z. Jackiewicz}, Appl. Numer. Math. 53, No. 2--4, 149--163 (2005; Zbl 1086.65069) Full Text: DOI
Voss, D. A. Fourth-order parallel Rosenbrock formulae for stiff systems. (English) Zbl 1074.65088 Math. Comput. Modelling 40, No. 11-12, 1193-1198 (2004). MSC: 65L06 65L05 65L20 65L50 34A34 65Y05 PDFBibTeX XMLCite \textit{D. A. Voss}, Math. Comput. Modelling 40, No. 11--12, 1193--1198 (2004; Zbl 1074.65088) Full Text: DOI
Chollom, J.; Jackiewicz, Z. Construction of two-step Runge–Kutta methods with large regions of absolute stability. (English) Zbl 1024.65054 J. Comput. Appl. Math. 157, No. 1, 125-137 (2003). MSC: 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{J. Chollom} and \textit{Z. Jackiewicz}, J. Comput. Appl. Math. 157, No. 1, 125--137 (2003; Zbl 1024.65054) Full Text: DOI
Daniels, P. G.; Ho, D.; Skeldon, A. C. Solutions for nonlinear convection in the presence of a lateral boundary. (English) Zbl 1098.76536 Physica D 178, No. 1-2, 83-102 (2003). MSC: 76E06 76E30 PDFBibTeX XMLCite \textit{P. G. Daniels} et al., Physica D 178, No. 1--2, 83--102 (2003; Zbl 1098.76536) Full Text: DOI
Shampine, L. F. Variable order Adams codes. (English) Zbl 1035.65076 Comput. Math. Appl. 44, No. 5-6, 749-761 (2002). MSC: 65L06 65L70 65L20 34A34 65L05 65L50 PDFBibTeX XMLCite \textit{L. F. Shampine}, Comput. Math. Appl. 44, No. 5--6, 749--761 (2002; Zbl 1035.65076) Full Text: DOI
Bartel, Andreas; Günther, Michael A multirate W-method for electrical networks in state-space formulation. (English) Zbl 1013.65072 J. Comput. Appl. Math. 147, No. 2, 411-425 (2002). MSC: 65L06 65L05 65L20 65Y15 34A34 94C05 PDFBibTeX XMLCite \textit{A. Bartel} and \textit{M. Günther}, J. Comput. Appl. Math. 147, No. 2, 411--425 (2002; Zbl 1013.65072) Full Text: DOI
Jackiewicz, Z. Implementation of DIMSIMs for stiff differential systems. (English) Zbl 1001.65082 Appl. Numer. Math. 42, No. 1-3, 251-267 (2002). Reviewer: Dana Petcu (Timişoara) MSC: 65L06 65L20 34A34 65L50 65L70 PDFBibTeX XMLCite \textit{Z. Jackiewicz}, Appl. Numer. Math. 42, No. 1--3, 251--267 (2002; Zbl 1001.65082) Full Text: DOI
Shampine, L. F.; Corless, Robert M. Initial value problems for ODEs in problem solving environments. (English) Zbl 0971.65062 J. Comput. Appl. Math. 125, No. 1-2, 31-40 (2000). Reviewer: K.T.S.R.Iyengar (Bangalore) MSC: 65L05 34A34 68T20 68Q30 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{R. M. Corless}, J. Comput. Appl. Math. 125, No. 1--2, 31--40 (2000; Zbl 0971.65062) Full Text: DOI
Ashino, R.; Nagase, M.; Vaillancourt, R. Behind and beyond the MATLAB ODE suite. (English) Zbl 0955.65055 Comput. Math. Appl. 40, No. 4-5, 491-512 (2000). MSC: 65L20 34-04 65L05 65L06 34A34 68W30 PDFBibTeX XMLCite \textit{R. Ashino} et al., Comput. Math. Appl. 40, No. 4--5, 491--512 (2000; Zbl 0955.65055) Full Text: DOI
Shampine, L. F.; Thompson, S. Event location for ordinary differential equations. (English) Zbl 0956.65055 Comput. Math. Appl. 39, No. 5-6, 43-54 (2000). Reviewer: Kevin Burrage (Brisbane) MSC: 65L05 65L06 34A34 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{S. Thompson}, Comput. Math. Appl. 39, No. 5--6, 43--54 (2000; Zbl 0956.65055) Full Text: DOI
Hall, George; Usman, Anila Modified order and stepsize strategies in Adams codes. (English) Zbl 0941.65076 J. Comput. Appl. Math. 111, No. 1-2, 113-122 (1999). Reviewer: Svitlana P.Rogovchenko (Mersin) MSC: 65L50 65L06 65L05 34A34 65L20 PDFBibTeX XMLCite \textit{G. Hall} and \textit{A. Usman}, J. Comput. Appl. Math. 111, No. 1--2, 113--122 (1999; Zbl 0941.65076) Full Text: DOI
Shampine, L. F. Conservation laws and the numerical solution of ODEs. II. (English) Zbl 0947.65086 Comput. Math. Appl. 38, No. 2, 61-72 (1999). Reviewer: J.B.Butler jun.(Portland) MSC: 65L06 65L05 34A34 65L20 65L50 PDFBibTeX XMLCite \textit{L. F. Shampine}, Comput. Math. Appl. 38, No. 2, 61--72 (1999; Zbl 0947.65086) Full Text: DOI
Shampine, L. F. Linear conservation laws for ODEs. (English) Zbl 0999.65071 Comput. Math. Appl. 35, No. 10, 45-53 (1998). MSC: 65L06 65L05 35Q30 65L80 34A34 65M20 34A09 PDFBibTeX XMLCite \textit{L. F. Shampine}, Comput. Math. Appl. 35, No. 10, 45--53 (1998; Zbl 0999.65071) Full Text: DOI
Brugnano, Luigi; Trigiante, Donato Parallel implementation of block boundary value methods on nonlinear problems: Theoretical results. (English) Zbl 0927.65089 Appl. Numer. Math. 28, No. 2-4, 127-141 (1998). Reviewer: P.Chocholatý (Bratislava) MSC: 65L05 34A34 65Y05 PDFBibTeX XMLCite \textit{L. Brugnano} and \textit{D. Trigiante}, Appl. Numer. Math. 28, No. 2--4, 127--141 (1998; Zbl 0927.65089) Full Text: DOI
Wain, Richard J. Spurios fixed points of a variable step size, variable order, predictor corrector algorithm. (English) Zbl 0946.65053 Appl. Numer. Math. 27, No. 2, 155-169 (1998). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65L06 65L12 65L50 65L05 34A34 PDFBibTeX XMLCite \textit{R. J. Wain}, Appl. Numer. Math. 27, No. 2, 155--169 (1998; Zbl 0946.65053) Full Text: DOI
Lamba, H.; Stuart, A. M. Convergence results for the MATLAB ode23 routine. (English) Zbl 0920.65042 BIT 38, No. 4, 751-780 (1998). Reviewer: M.Calvo (Zaragoza) MSC: 65L06 65L05 65L70 65L50 34A34 37-XX PDFBibTeX XMLCite \textit{H. Lamba} and \textit{A. M. Stuart}, BIT 38, No. 4, 751--780 (1998; Zbl 0920.65042) Full Text: DOI
Shampine, Lawrence F.; Reichelt, Mark W. The MATLAB ODE suite. (English) Zbl 0868.65040 SIAM J. Sci. Comput. 18, No. 1, 1-22 (1997). Reviewer: P.Y.Yalamov (Russe) MSC: 65L05 65L06 34E13 34A34 34-04 65Y15 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{M. W. Reichelt}, SIAM J. Sci. Comput. 18, No. 1, 1--22 (1997; Zbl 0868.65040) Full Text: DOI
Ahmad, I.; Berzins, M. An algorithm for ODEs from atmospheric dispersion problems. (English) Zbl 0889.65085 Appl. Numer. Math. 25, No. 2-3, 137-149 (1997). Reviewer: O.Titow (Berlin) MSC: 65L06 34A34 65L05 86A10 PDFBibTeX XMLCite \textit{I. Ahmad} and \textit{M. Berzins}, Appl. Numer. Math. 25, No. 2--3, 137--149 (1997; Zbl 0889.65085) Full Text: DOI
Günther, M.; Hoschek, M. ROW methods adapted to electric circuit simulation packages. (English) Zbl 0889.65071 J. Comput. Appl. Math. 82, No. 1-2, 159-170 (1997). Reviewer: V.Komkov (Roswell) MSC: 65L05 94C05 78A55 34A34 34E13 PDFBibTeX XMLCite \textit{M. Günther} and \textit{M. Hoschek}, J. Comput. Appl. Math. 82, No. 1--2, 159--170 (1997; Zbl 0889.65071) Full Text: DOI
Shampine, L. F.; Gladwell, I. Software based on explicit RK formulas. (English) Zbl 0868.65043 Appl. Numer. Math. 22, No. 1-3, 293-308 (1996). Reviewer: C.Bendtsen (Lyngby) MSC: 65L06 34A34 34-04 65-03 01A65 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{I. Gladwell}, Appl. Numer. Math. 22, No. 1--3, 293--308 (1996; Zbl 0868.65043) Full Text: DOI
Hosea, M. E.; Shampine, L. F. Analysis and implementation of TR-BDF2. (English) Zbl 0859.65076 Appl. Numer. Math. 20, No. 1-2, 21-37 (1996). Reviewer: R.Scherer (Karlsruhe) MSC: 65L06 65L05 65L20 34A34 65L70 PDFBibTeX XMLCite \textit{M. E. Hosea} and \textit{L. F. Shampine}, Appl. Numer. Math. 20, No. 1--2, 21--37 (1996; Zbl 0859.65076) Full Text: DOI