Rufai, Mufutau Ajani; Tran, Thanh; Anastassi, Zacharias A. A variable step-size implementation of the hybrid Nyström method for integrating Hamiltonian and stiff differential systems. (English) Zbl 07687555 Comput. Appl. Math. 42, No. 4, Paper No. 156, 17 p. (2023). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{M. A. Rufai} et al., Comput. Appl. Math. 42, No. 4, Paper No. 156, 17 p. (2023; Zbl 07687555) Full Text: DOI OpenURL
Firouzi, Nasser; Żur, Krzysztof Kamil; Amabili, Marco; Rabczuk, Timon On the time-dependent mechanics of membranes via the nonlinear finite element method. (English) Zbl 07665576 Comput. Methods Appl. Mech. Eng. 407, Article ID 115903, 25 p. (2023). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{N. Firouzi} et al., Comput. Methods Appl. Mech. Eng. 407, Article ID 115903, 25 p. (2023; Zbl 07665576) Full Text: DOI OpenURL
Conte, Dajana; Pagano, Giovanni; Paternoster, Beatrice Time-accurate and highly-stable explicit peer methods for stiff differential problems. (English) Zbl 07656633 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107136, 20 p. (2023). MSC: 65Lxx 65Mxx 34Axx PDF BibTeX XML Cite \textit{D. Conte} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107136, 20 p. (2023; Zbl 07656633) Full Text: DOI OpenURL
Kulikov, G. Yu.; Kulikova, M. V. Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed. (English) Zbl 1506.92005 J. Franklin Inst. 360, No. 1, 176-202 (2023). MSC: 92B20 60H30 65L60 PDF BibTeX XML Cite \textit{G. Yu. Kulikov} and \textit{M. V. Kulikova}, J. Franklin Inst. 360, No. 1, 176--202 (2023; Zbl 1506.92005) Full Text: DOI OpenURL
Abdulsalam, Athraa; Senu, Norazak; Majid, Zanariah Abdul; Nik Long, Nik Mohd Asri Adaptive multi-step Runge-Kutta-Nyström methods for general second-order ordinary differential equations. (English) Zbl 1506.65100 J. Comput. Appl. Math. 421, Article ID 114874, 24 p. (2023). MSC: 65L06 PDF BibTeX XML Cite \textit{A. Abdulsalam} et al., J. Comput. Appl. Math. 421, Article ID 114874, 24 p. (2023; Zbl 1506.65100) Full Text: DOI OpenURL
Bevia, V.; Calatayud, J.; Cortés, J.-C.; Jornet, M. On the generalized logistic random differential equation: theoretical analysis and numerical simulations with real-world data. (English) Zbl 1507.34050 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106832, 17 p. (2023). MSC: 34C60 92D25 34F05 60H10 PDF BibTeX XML Cite \textit{V. Bevia} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106832, 17 p. (2023; Zbl 1507.34050) Full Text: DOI OpenURL
Singla, Rajat; Singh, Gurjinder; Ramos, Higinio; Kanwar, V. An efficient optimized adaptive step-size hybrid block method for integrating \(w^{\prime \prime} = F (t, w, w^\prime)\) directly. (English) Zbl 1497.65109 J. Comput. Appl. Math. 420, Article ID 114838, 19 p. (2023). MSC: 65L05 65L99 PDF BibTeX XML Cite \textit{R. Singla} et al., J. Comput. Appl. Math. 420, Article ID 114838, 19 p. (2023; Zbl 1497.65109) Full Text: DOI OpenURL
Eremin, Alexey S.; Lobaskin, Aleksandr A. Fourth-order method for differential equations with discrete and distributed delays. (English) Zbl 1504.93181 Smirnov, Nikolay (ed.) et al., Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5–10, 2020. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 199-206 (2022). MSC: 93C23 34K60 45K05 PDF BibTeX XML Cite \textit{A. S. Eremin} and \textit{A. A. Lobaskin}, in: Stability and control processes. Proceedings of the 4th international conference, SCP 2020, dedicated to the memory of Professor Vladimir Zubov, October 5--10, 2020. Cham: Springer. 199--206 (2022; Zbl 1504.93181) Full Text: DOI OpenURL
Mahnken, Rolf New low order Runge-Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction. (English) Zbl 1507.65123 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115553, 47 p. (2022). MSC: 65L06 65L05 65L20 PDF BibTeX XML Cite \textit{R. Mahnken}, Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115553, 47 p. (2022; Zbl 1507.65123) Full Text: DOI OpenURL
Orlando, Giuseppe; Barbante, Paolo Francesco; Bonaventura, Luca An efficient IMEX-DG solver for the compressible Navier-Stokes equations for non-ideal gases. (English) Zbl 07605612 J. Comput. Phys. 471, Article ID 111653, 31 p. (2022). MSC: 65Lxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{G. Orlando} et al., J. Comput. Phys. 471, Article ID 111653, 31 p. (2022; Zbl 07605612) Full Text: DOI arXiv OpenURL
Luan, Vu Thai; Chinomona, Rujeko; Reynolds, Daniel R. Multirate exponential Rosenbrock methods. (English) Zbl 1507.65119 SIAM J. Sci. Comput. 44, No. 5, A3265-A3289 (2022). Reviewer: Saurabh Tomar (Kharagpur) MSC: 65L05 65L06 65M20 65L20 PDF BibTeX XML Cite \textit{V. T. Luan} et al., SIAM J. Sci. Comput. 44, No. 5, A3265--A3289 (2022; Zbl 1507.65119) Full Text: DOI arXiv OpenURL
Rathan, Samala; Shah, Deepit Construction and comparative study of second order time stepping methods based on IQ and IMQ-RBFs. (English) Zbl 1501.65025 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 203, 25 p. (2022). MSC: 65L12 65L06 65L20 PDF BibTeX XML Cite \textit{S. Rathan} and \textit{D. Shah}, Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 203, 25 p. (2022; Zbl 1501.65025) Full Text: DOI OpenURL
Hu, Xianfa; You, Xiong; Fang, Yonglei A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations. (English) Zbl 07579663 Int. J. Comput. Math. 99, No. 9, 1803-1822 (2022). MSC: 65L05 PDF BibTeX XML Cite \textit{X. Hu} et al., Int. J. Comput. Math. 99, No. 9, 1803--1822 (2022; Zbl 07579663) Full Text: DOI OpenURL
Torkashvand, Mojtaba Bahrami; Aghayan, Iman; Qin, Xiao; Hadadi, Farhad An extended dynamic probabilistic risk approach based on a surrogate safety measure for rear-end collisions on two-lane roads. (English) Zbl 07569885 Physica A 603, Article ID 127845, 26 p. (2022). MSC: 82-XX PDF BibTeX XML Cite \textit{M. B. Torkashvand} et al., Physica A 603, Article ID 127845, 26 p. (2022; Zbl 07569885) Full Text: DOI OpenURL
Ramos, Higinio; Rufai, Mufutau Ajani An adaptive one-point second-derivative lobatto-type hybrid method for solving efficiently differential systems. (English) Zbl 07563039 Int. J. Comput. Math. 99, No. 8, 1687-1705 (2022). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{H. Ramos} and \textit{M. A. Rufai}, Int. J. Comput. Math. 99, No. 8, 1687--1705 (2022; Zbl 07563039) Full Text: DOI OpenURL
Giunta, Valeria; Hillen, Thomas; Lewis, Mark; Potts, Jonathan R. Local and global existence for nonlocal multispecies advection-diffusion models. (English) Zbl 1494.35002 SIAM J. Appl. Dyn. Syst. 21, No. 3, 1686-1708 (2022). MSC: 35A01 35B09 35B65 35K57 35R09 92-10 92D40 PDF BibTeX XML Cite \textit{V. Giunta} et al., SIAM J. Appl. Dyn. Syst. 21, No. 3, 1686--1708 (2022; Zbl 1494.35002) Full Text: DOI arXiv OpenURL
Al Jahdali, R.; Dalcin, L.; Boukharfane, R.; Nolasco, I. R.; Keyes, D. E.; Parsani, M. Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 07546696 Comput. Math. Appl. 118, 1-17 (2022). MSC: 65L06 65M12 65M60 65L05 65M20 PDF BibTeX XML Cite \textit{R. Al Jahdali} et al., Comput. Math. Appl. 118, 1--17 (2022; Zbl 07546696) Full Text: DOI OpenURL
Sun, Geng; Gan, Siqing; Liu, Hongyu; Shang, Zaijiu Symmetric-adjoint and symplectic-adjoint Runge-Kutta methods and their applications. (English) Zbl 1499.65304 Numer. Math., Theory Methods Appl. 15, No. 2, 304-335 (2022). MSC: 65L06 37M15 65P10 PDF BibTeX XML Cite \textit{G. Sun} et al., Numer. Math., Theory Methods Appl. 15, No. 2, 304--335 (2022; Zbl 1499.65304) Full Text: DOI OpenURL
Guedes, Priscila F. S.; Mendes, Eduardo M. A. M.; Nepomuceno, Erivelton Effective computational discretization scheme for nonlinear dynamical systems. (English) Zbl 07537575 Appl. Math. Comput. 428, Article ID 127207, 15 p. (2022). MSC: 65P99 37D45 37N30 PDF BibTeX XML Cite \textit{P. F. S. Guedes} et al., Appl. Math. Comput. 428, Article ID 127207, 15 p. (2022; Zbl 07537575) Full Text: DOI OpenURL
Hikal, M. M.; Elsheikh, M. M. A.; Zahra, W. K. Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy. (English) Zbl 1500.34072 J. Appl. Math. Comput. 68, No. 1, 295-321 (2022). MSC: 34K60 34K37 92D30 34K21 34K20 34K25 PDF BibTeX XML Cite \textit{M. M. Hikal} et al., J. Appl. Math. Comput. 68, No. 1, 295--321 (2022; Zbl 1500.34072) Full Text: DOI OpenURL
Saez-Mischlich, G.; Sierra-Ausin, J.; Grondin, G.; Gressier, J. On the properties of high-order least-squares finite-volume schemes. (English) Zbl 07523807 J. Comput. Phys. 457, Article ID 111043, 35 p. (2022). MSC: 65Mxx 76Mxx 35Lxx PDF BibTeX XML Cite \textit{G. Saez-Mischlich} et al., J. Comput. Phys. 457, Article ID 111043, 35 p. (2022; Zbl 07523807) Full Text: DOI OpenURL
Du, Yongle; Cai, Jinsheng A novel coarse grid boundary treatment for multigrid algorithms in computational fluid dynamics simulations. (English) Zbl 07517172 J. Comput. Phys. 451, Article ID 110889, 7 p. (2022). MSC: 76Mxx 65Nxx 76Nxx PDF BibTeX XML Cite \textit{Y. Du} and \textit{J. Cai}, J. Comput. Phys. 451, Article ID 110889, 7 p. (2022; Zbl 07517172) Full Text: DOI OpenURL
Rahm, Ludwig An operadic approach to substitution in Lie-Butcher series. (English) Zbl 1497.16034 Forum Math. Sigma 10, Paper No. e20, 29 p. (2022). Reviewer: Loïc Foissy (Calais) MSC: 16T30 17A30 22E30 05C05 PDF BibTeX XML Cite \textit{L. Rahm}, Forum Math. Sigma 10, Paper No. e20, 29 p. (2022; Zbl 1497.16034) Full Text: DOI arXiv OpenURL
Liu, Ying; Sun, Yabing; Zhao, Weidong Explicit multistep stochastic characteristic approximation methods for forward backward stochastic differential equations. (English) Zbl 1484.65014 Discrete Contin. Dyn. Syst., Ser. S 15, No. 4, 773-795 (2022). MSC: 65C30 60H10 60H35 PDF BibTeX XML Cite \textit{Y. Liu} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 4, 773--795 (2022; Zbl 1484.65014) Full Text: DOI OpenURL
Rufai, Mufutau Ajani; Ramos, Higinio A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications. (English) Zbl 1499.65290 Int. J. Comput. Math. 99, No. 2, 292-308 (2022). MSC: 65L05 65L20 PDF BibTeX XML Cite \textit{M. A. Rufai} and \textit{H. Ramos}, Int. J. Comput. Math. 99, No. 2, 292--308 (2022; Zbl 1499.65290) Full Text: DOI OpenURL
Tan, Zengqiang; Zhang, Chengjian Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods. (English) Zbl 07487719 Math. Comput. Simul. 196, 68-87 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Z. Tan} and \textit{C. Zhang}, Math. Comput. Simul. 196, 68--87 (2022; Zbl 07487719) Full Text: DOI OpenURL
Körner, Jannis; Arnold, Anton; Döpfner, Kirian WKB-based scheme with adaptive step size control for the Schrödinger equation in the highly oscillatory regime. (English) Zbl 1491.65073 J. Comput. Appl. Math. 404, Article ID 113905, 18 p. (2022). MSC: 65L60 34L40 PDF BibTeX XML Cite \textit{J. Körner} et al., J. Comput. Appl. Math. 404, Article ID 113905, 18 p. (2022; Zbl 1491.65073) Full Text: DOI arXiv OpenURL
Kulikova, Maria V.; Kulikov, Gennady Yu. Square-root filtering via covariance SVD factors in the accurate continuous-discrete extended-cubature Kalman filter. (English) Zbl 1482.65008 Appl. Numer. Math. 171, 32-44 (2022). MSC: 65C30 60H10 65L04 65L05 65L06 PDF BibTeX XML Cite \textit{M. V. Kulikova} and \textit{G. Yu. Kulikov}, Appl. Numer. Math. 171, 32--44 (2022; Zbl 1482.65008) Full Text: DOI OpenURL
Attaullah; Jan, Rashid; Yüzbaşı, Şuayip Dynamical behaviour of HIV infection with the influence of variable source term through Galerkin method. (English) Zbl 1498.92053 Chaos Solitons Fractals 152, Article ID 111429, 13 p. (2021). MSC: 92C32 65L60 PDF BibTeX XML Cite \textit{Attaullah} et al., Chaos Solitons Fractals 152, Article ID 111429, 13 p. (2021; Zbl 1498.92053) Full Text: DOI OpenURL
Maurya, Praveen K.; Yadav, Vivek S.; Mahato, Bikash; Ganta, Naveen; Rajpoot, Manoj K.; Bhumkar, Yogesh G. New optimized implicit-explicit Runge-Kutta methods with applications to the hyperbolic conservation laws. (English) Zbl 07516460 J. Comput. Phys. 446, Article ID 110650, 41 p. (2021). MSC: 65Mxx 76Mxx 65Lxx PDF BibTeX XML Cite \textit{P. K. Maurya} et al., J. Comput. Phys. 446, Article ID 110650, 41 p. (2021; Zbl 07516460) Full Text: DOI OpenURL
Deshpande, Vedang M.; Bhattacharya, Raktim; Donzis, Diego A. A unified framework to generate optimized compact finite difference schemes. (English) Zbl 07511690 J. Comput. Phys. 432, Article ID 110157, 27 p. (2021). MSC: 65Mxx 76Mxx 90Cxx PDF BibTeX XML Cite \textit{V. M. Deshpande} et al., J. Comput. Phys. 432, Article ID 110157, 27 p. (2021; Zbl 07511690) Full Text: DOI arXiv OpenURL
Cai, Xiaofeng; Boscarino, Sebastiano; Qiu, Jing-Mei High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics. (English) Zbl 07510239 J. Comput. Phys. 427, Article ID 110036, 21 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{X. Cai} et al., J. Comput. Phys. 427, Article ID 110036, 21 p. (2021; Zbl 07510239) Full Text: DOI arXiv OpenURL
Tchórzewski, Jacek; Jakóbik, Agnieszka; Iacono, Mauro An ANN-based scalable hashing algorithm for computational clouds with schedulers. (English) Zbl 07490731 Int. J. Appl. Math. Comput. Sci. 31, No. 4, 697-712 (2021). MSC: 68-XX 94-XX PDF BibTeX XML Cite \textit{J. Tchórzewski} et al., Int. J. Appl. Math. Comput. Sci. 31, No. 4, 697--712 (2021; Zbl 07490731) Full Text: DOI OpenURL
Li, Jiyong; Gao, Yachao Modified multi-step Nyström methods for oscillatory general second-order initial value problems. (English) Zbl 1480.65169 Int. J. Comput. Math. 98, No. 2, 223-237 (2021). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Gao}, Int. J. Comput. Math. 98, No. 2, 223--237 (2021; Zbl 1480.65169) Full Text: DOI OpenURL
O’Leary, Joseph; Barriot, Jean-Pierre An application of symplectic integration for general relativistic planetary orbitography subject to non-gravitational forces. (English) Zbl 1482.70021 Celest. Mech. Dyn. Astron. 133, No. 11-12, Paper No. 56, 22 p. (2021). MSC: 70H40 PDF BibTeX XML Cite \textit{J. O'Leary} and \textit{J.-P. Barriot}, Celest. Mech. Dyn. Astron. 133, No. 11--12, Paper No. 56, 22 p. (2021; Zbl 1482.70021) Full Text: DOI OpenURL
Malheiro, M. T.; Machado, Gaspar J.; Clain, Stéphane An a posteriori strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations. (English) Zbl 07447575 Comput. Math. Appl. 103, 65-81 (2021). MSC: 65L06 65M20 65M06 76M20 65N15 PDF BibTeX XML Cite \textit{M. T. Malheiro} et al., Comput. Math. Appl. 103, 65--81 (2021; Zbl 07447575) Full Text: DOI arXiv OpenURL
Cholamjiak, Prasit; Pholasa, Nattawut; Suantai, Suthep; Sunthrayuth, Pongsakorn The generalized viscosity explicit rules for solving variational inclusion problems in Banach spaces. (English) Zbl 07442340 Optimization 70, No. 12, 2607-2633 (2021). MSC: 47H09 47H10 47J25 47J05 PDF BibTeX XML Cite \textit{P. Cholamjiak} et al., Optimization 70, No. 12, 2607--2633 (2021; Zbl 07442340) Full Text: DOI OpenURL
Tronarp, Filip; Särkkä, Simo; Hennig, Philipp Bayesian ODE solvers: the maximum a posteriori estimate. (English) Zbl 1475.62061 Stat. Comput. 31, No. 3, Paper No. 23, 18 p. (2021). MSC: 62-08 PDF BibTeX XML Cite \textit{F. Tronarp} et al., Stat. Comput. 31, No. 3, Paper No. 23, 18 p. (2021; Zbl 1475.62061) Full Text: DOI arXiv OpenURL
Lorenzon, Denis; Elaskar, Sergio Using linear multistep methods for the time stepping in Vlasov-Poisson simulations. (English) Zbl 1476.82010 Comput. Appl. Math. 40, No. 8, Paper No. 289, 22 p. (2021). MSC: 82D10 35A24 PDF BibTeX XML Cite \textit{D. Lorenzon} and \textit{S. Elaskar}, Comput. Appl. Math. 40, No. 8, Paper No. 289, 22 p. (2021; Zbl 1476.82010) Full Text: DOI OpenURL
Menini, Laura; Possieri, Corrado; Tornambè, Antonio A locally convergent continuous-time algorithm to find all the roots of a time-varying polynomial. (English) Zbl 07430145 Automatica 131, Article ID 109681, 4 p. (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{L. Menini} et al., Automatica 131, Article ID 109681, 4 p. (2021; Zbl 07430145) Full Text: DOI OpenURL
Singla, Rajat; Singh, Gurjinder; Kanwar, V.; Ramos, Higinio Efficient adaptive step-size formulation of an optimized two-step hybrid block method for directly solving general second-order initial-value problems. (English) Zbl 1476.65124 Comput. Appl. Math. 40, No. 6, Paper No. 220, 13 p. (2021). MSC: 65L04 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{R. Singla} et al., Comput. Appl. Math. 40, No. 6, Paper No. 220, 13 p. (2021; Zbl 1476.65124) 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
Abdulganiy, R. I.; Akinfenwa, O. A.; Ramos, H.; Okunuga, S. A. A second-derivative functionally fitted method of maximal order for oscillatory initial value problems. (English) Zbl 1476.65125 Comput. Appl. Math. 40, No. 6, Paper No. 188, 18 p. (2021). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{R. I. Abdulganiy} et al., Comput. Appl. Math. 40, No. 6, Paper No. 188, 18 p. (2021; Zbl 1476.65125) Full Text: DOI OpenURL
Urevc, Janez; Starman, Bojan; Maček, Andraž; Halilovič, Miroslav A novel class of collocation methods based on the weighted integral form of ODEs. (English) Zbl 1476.65155 Comput. Appl. Math. 40, No. 4, Paper No. 135, 28 p. (2021). MSC: 65L60 65L04 PDF BibTeX XML Cite \textit{J. Urevc} et al., Comput. Appl. Math. 40, No. 4, Paper No. 135, 28 p. (2021; Zbl 1476.65155) Full Text: DOI OpenURL
Doostdar, Mohammadreza; Vahidi, Alireza; Damercheli, Tayebeh; Babolian, Esmail A hybrid functions method for solving linear and non-linear systems of ordinary differential equations. (English) Zbl 1482.65105 Math. Commun. 26, No. 2, 197-213 (2021). MSC: 65L05 65L60 34A30 34A34 PDF BibTeX XML Cite \textit{M. Doostdar} et al., Math. Commun. 26, No. 2, 197--213 (2021; Zbl 1482.65105) Full Text: Link OpenURL
Yeager, Benjamin; Kubatko, Ethan; Wood, Dylan Time step restrictions for strong-stability-preserving multistep Runge-Kutta discontinuous Galerkin methods. (English) Zbl 07408884 J. Sci. Comput. 89, No. 2, Paper No. 29, 18 p. (2021). MSC: 65M60 65L06 65M06 65N30 65M20 65M12 49M41 PDF BibTeX XML Cite \textit{B. Yeager} et al., J. Sci. Comput. 89, No. 2, Paper No. 29, 18 p. (2021; Zbl 07408884) Full Text: DOI OpenURL
Chinomona, Rujeko; Reynolds, Daniel R. Implicit-explicit multirate infinitesimal GARK methods. (English) Zbl 07395805 SIAM J. Sci. Comput. 43, No. 5, A3082-A3113 (2021). MSC: 65L04 65L05 65L06 65L20 PDF BibTeX XML Cite \textit{R. Chinomona} and \textit{D. R. Reynolds}, SIAM J. Sci. Comput. 43, No. 5, A3082--A3113 (2021; Zbl 07395805) Full Text: DOI arXiv OpenURL
Jin, Xiangyu; An, Jie; Zhan, Bohua; Zhan, Naijun; Zhang, Miaomiao Inferring switched nonlinear dynamical systems. (English) Zbl 07387998 Formal Asp. Comput. 33, No. 3, 385-406 (2021). MSC: 68-XX PDF BibTeX XML Cite \textit{X. Jin} et al., Formal Asp. Comput. 33, No. 3, 385--406 (2021; Zbl 07387998) Full Text: DOI OpenURL
Liu, Yong; Lu, Jianfang; Shu, Chi-Wang; Zhang, Mengping Central discontinuous Galerkin methods on overlapping meshes for wave equations. (English) Zbl 1470.65168 ESAIM, Math. Model. Numer. Anal. 55, No. 1, 329-356 (2021). MSC: 65M60 65M12 65M15 PDF BibTeX XML Cite \textit{Y. Liu} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 1, 329--356 (2021; Zbl 1470.65168) Full Text: DOI OpenURL
Buckwar, Evelyn; D’Ambrosio, Raffaele Exponential mean-square stability properties of stochastic linear multistep methods. (English) Zbl 1496.65007 Adv. Comput. Math. 47, No. 4, Paper No. 55, 14 p. (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65C30 60H35 PDF BibTeX XML Cite \textit{E. Buckwar} and \textit{R. D'Ambrosio}, Adv. Comput. Math. 47, No. 4, Paper No. 55, 14 p. (2021; Zbl 1496.65007) Full Text: DOI OpenURL
Park, R. A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model. (English) Zbl 1486.65125 Appl. Numer. Math. 168, 201-220 (2021). MSC: 65M06 65N06 65M12 92C20 35Q92 PDF BibTeX XML Cite \textit{R. Park}, Appl. Numer. Math. 168, 201--220 (2021; Zbl 1486.65125) Full Text: DOI arXiv OpenURL
Teng, Long; Zhao, Weidong High-order combined multi-step scheme for solving forward backward stochastic differential equations. (English) Zbl 07353297 J. Sci. Comput. 87, No. 3, Paper No. 81, 25 p. (2021). MSC: 65C30 60H10 60H35 PDF BibTeX XML Cite \textit{L. Teng} and \textit{W. Zhao}, J. Sci. Comput. 87, No. 3, Paper No. 81, 25 p. (2021; Zbl 07353297) Full Text: DOI arXiv OpenURL
Alimo, Ryan; Cavaglieri, Daniele; Beyhaghi, Pooriya; Bewley, Thomas R. Design of IMEXRK time integration schemes via Delaunay-based derivative-free optimization with nonconvex constraints and grid-based acceleration. (English) Zbl 1466.90074 J. Glob. Optim. 79, No. 3, 567-591 (2021). MSC: 90C26 90C56 PDF BibTeX XML Cite \textit{R. Alimo} et al., J. Glob. Optim. 79, No. 3, 567--591 (2021; Zbl 1466.90074) Full Text: DOI OpenURL
Zhang, Yifu; Cortés, Jorge Model predictive control for transient frequency regulation of power networks. (English) Zbl 1461.93141 Automatica 123, Article ID 109335, 11 p. (2021). MSC: 93B45 93D20 93B70 93C80 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{J. Cortés}, Automatica 123, Article ID 109335, 11 p. (2021; Zbl 1461.93141) 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
Santos, Ricardo; Alves, Leonardo A comparative analysis of explicit, IMEX and implicit strong stability preserving Runge-Kutta schemes. (English) Zbl 1459.65158 Appl. Numer. Math. 159, 204-220 (2021). MSC: 65M06 65L06 65M15 76N06 35Q31 35Q30 PDF BibTeX XML Cite \textit{R. Santos} and \textit{L. Alves}, Appl. Numer. Math. 159, 204--220 (2021; Zbl 1459.65158) Full Text: DOI OpenURL
Li, Dongping; Zhang, Xiuying; Liu, Renyun Exponential integrators for large-scale stiff Riccati differential equations. (English) Zbl 1459.65100 J. Comput. Appl. Math. 389, Article ID 113360, 18 p. (2021). MSC: 65L04 65L05 65F55 65F60 PDF BibTeX XML Cite \textit{D. Li} et al., J. Comput. Appl. Math. 389, Article ID 113360, 18 p. (2021; Zbl 1459.65100) Full Text: DOI OpenURL
D’Ambrosio, Raffaele; Paternoster, Beatrice Multivalue collocation methods free from order reduction. (English) Zbl 1458.65073 J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021). MSC: 65L04 65L60 PDF BibTeX XML Cite \textit{R. D'Ambrosio} and \textit{B. Paternoster}, J. Comput. Appl. Math. 387, Article ID 112515, 12 p. (2021; Zbl 1458.65073) Full Text: DOI OpenURL
Arévalo, Carmen; Söderlind, Gustaf; Hadjimichael, Yiannis; Fekete, Imre Local error estimation and step size control in adaptive linear multistep methods. (English) Zbl 1458.65080 Numer. Algorithms 86, No. 2, 537-563 (2021). MSC: 65L06 65L50 PDF BibTeX XML Cite \textit{C. Arévalo} et al., Numer. Algorithms 86, No. 2, 537--563 (2021; Zbl 1458.65080) Full Text: DOI OpenURL
Moaaz, Osama; Awrejcewicz, Jan; Mahjoub, Hamida Global behavior and the periodic character of some biological models. (English) Zbl 1486.92176 Adv. Difference Equ. 2020, Paper No. 410, 21 p. (2020). MSC: 92D25 92B05 37N25 39A60 PDF BibTeX XML Cite \textit{O. Moaaz} et al., Adv. Difference Equ. 2020, Paper No. 410, 21 p. (2020; Zbl 1486.92176) Full Text: DOI OpenURL
Sadek, El. Mostafa; Bentbib, Abdeslem Hafid; Sadek, Lakhlifa; Talibi Alaoui, Hamad Global extended Krylov subspace methods for large-scale differential Sylvester matrix equations. (English) Zbl 1505.65196 J. Appl. Math. Comput. 62, No. 1-2, 157-177 (2020). MSC: 65F99 34A30 65L05 65F45 65F60 PDF BibTeX XML Cite \textit{El. M. Sadek} et al., J. Appl. Math. Comput. 62, No. 1--2, 157--177 (2020; Zbl 1505.65196) Full Text: DOI OpenURL
Liu, Ying; Sun, Yabing; Zhao, Weidong A fully discrete explicit multistep scheme for solving coupled forward backward stochastic differential equations. (English) Zbl 1488.65012 Adv. Appl. Math. Mech. 12, No. 3, 643-663 (2020). MSC: 65C30 60H10 60H35 65L06 PDF BibTeX XML Cite \textit{Y. Liu} et al., Adv. Appl. Math. Mech. 12, No. 3, 643--663 (2020; Zbl 1488.65012) Full Text: DOI OpenURL
Hinze, Thomas Coping with dynamical reaction system topologies using deterministic P modules: a case study of photosynthesis. (English) Zbl 1469.68037 J. Membr. Comput. 2, No. 4, 281-289 (2020). MSC: 68Q07 92-10 92C80 PDF BibTeX XML Cite \textit{T. Hinze}, J. Membr. Comput. 2, No. 4, 281--289 (2020; Zbl 1469.68037) Full Text: DOI OpenURL
Wen, Jiao; Xiao, Aiguo; Huang, Chengming Highly stable multistep Runge-Kutta methods for Volterra integral equations. (English) Zbl 1476.65350 Comput. Appl. Math. 39, No. 4, Paper No. 308, 23 p. (2020). MSC: 65R20 45D05 65L06 65L20 PDF BibTeX XML Cite \textit{J. Wen} et al., Comput. Appl. Math. 39, No. 4, Paper No. 308, 23 p. (2020; Zbl 1476.65350) Full Text: DOI OpenURL
Ditkowski, Adi; Gottlieb, Sigal; Grant, Zachary J. Explicit and implicit error inhibiting schemes with post-processing. (English) Zbl 1502.65051 Comput. Fluids 208, Article ID 104534, 20 p. (2020). MSC: 65L70 65L06 65L20 PDF BibTeX XML Cite \textit{A. Ditkowski} et al., Comput. Fluids 208, Article ID 104534, 20 p. (2020; Zbl 1502.65051) Full Text: DOI arXiv OpenURL
Sadek, Lakhlifa; Talibi, Alaoui Hamad The extended block Arnoldi method for solving generalized differential Sylvester equations. (English) Zbl 1474.65113 J. Math. Model. 8, No. 2, 189-206 (2020). MSC: 65F45 15A24 PDF BibTeX XML Cite \textit{L. Sadek} and \textit{A. H. Talibi}, J. Math. Model. 8, No. 2, 189--206 (2020; Zbl 1474.65113) Full Text: DOI OpenURL
Wang, Yazhen; Wu, Shang Asymptotic analysis via stochastic differential equations of gradient descent algorithms in statistical and computational paradigms. (English) Zbl 07306890 J. Mach. Learn. Res. 21, Paper No. 199, 103 p. (2020). MSC: 68T05 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{S. Wu}, J. Mach. Learn. Res. 21, Paper No. 199, 103 p. (2020; Zbl 07306890) Full Text: arXiv Link OpenURL
Ditkowski, Adi; Gottlieb, Sigal; Grant, Zachary J. Two-derivative error inhibiting schemes and enhanced error inhibiting schemes. (English) Zbl 1453.65164 SIAM J. Numer. Anal. 58, No. 6, 3197-3225 (2020). MSC: 65L06 65L20 65L70 PDF BibTeX XML Cite \textit{A. Ditkowski} et al., SIAM J. Numer. Anal. 58, No. 6, 3197--3225 (2020; Zbl 1453.65164) Full Text: DOI arXiv OpenURL
Kulikov, G. Yu. Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations. (English. Russian original) Zbl 1451.65082 Comput. Math. Math. Phys. 60, No. 7, 1134-1154 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1170-1192 (2020). MSC: 65L04 65L06 PDF BibTeX XML Cite \textit{G. Yu. Kulikov}, Comput. Math. Math. Phys. 60, No. 7, 1134--1154 (2020; Zbl 1451.65082); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 7, 1170--1192 (2020) Full Text: DOI OpenURL
Wu, Jingwen; Hu, Jintao; Tian, Hongjiong Functionally-fitted block \( \theta \)-methods for ordinary differential equations. (English) Zbl 1450.65066 Discrete Contin. Dyn. Syst., Ser. S 13, No. 9, 2603-2617 (2020). MSC: 65L05 65L60 PDF BibTeX XML Cite \textit{J. Wu} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 9, 2603--2617 (2020; Zbl 1450.65066) Full Text: DOI OpenURL
Cohen, David; Debrabant, Kristian; Rößler, Andreas High order numerical integrators for single integrand Stratonovich SDEs. (English) Zbl 1452.65120 Appl. Numer. Math. 158, 264-270 (2020). MSC: 65L05 65C30 34A09 34A34 PDF BibTeX XML Cite \textit{D. Cohen} et al., Appl. Numer. Math. 158, 264--270 (2020; Zbl 1452.65120) Full Text: DOI arXiv OpenURL
Tran, Khanh G.; Nguyen, Nam H.; Nguyen, Phuoc D. Observer-based controllers for two-wheeled inverted robots with unknown input disturbance and model uncertainty. (English) Zbl 1448.93230 J. Control Sci. Eng. 2020, Article ID 7205737, 12 p. (2020). MSC: 93C85 93B53 93C41 93C73 93C05 PDF BibTeX XML Cite \textit{K. G. Tran} et al., J. Control Sci. Eng. 2020, Article ID 7205737, 12 p. (2020; Zbl 1448.93230) Full Text: DOI OpenURL
Ávila, Andrés I.; Kopecz, Stefan; Meister, Andreas A comprehensive theory on generalized BBKS schemes. (English) Zbl 1452.80017 Appl. Numer. Math. 157, 19-37 (2020). MSC: 80A32 65L06 92E20 80M99 PDF BibTeX XML Cite \textit{A. I. Ávila} et al., Appl. Numer. Math. 157, 19--37 (2020; Zbl 1452.80017) Full Text: DOI OpenURL
Kulikov, G. Yu.; Weiner, R. Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations. (English) Zbl 1437.65062 Appl. Numer. Math. 154, 223-242 (2020). MSC: 65L04 65L70 65G20 PDF BibTeX XML Cite \textit{G. Yu. Kulikov} and \textit{R. Weiner}, Appl. Numer. Math. 154, 223--242 (2020; Zbl 1437.65062) Full Text: DOI OpenURL
Giri, Subhajit; Sen, Shuvam A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error. (English) Zbl 07189436 J. Comput. Appl. Math. 376, Article ID 112841, 23 p. (2020). MSC: 65L06 65L05 76M20 34A34 65M06 PDF BibTeX XML Cite \textit{S. Giri} and \textit{S. Sen}, J. Comput. Appl. Math. 376, Article ID 112841, 23 p. (2020; Zbl 07189436) Full Text: DOI OpenURL
Liu, Changying; Wu, Xinyuan Nonlinear stability and convergence of ERKN integrators for solving nonlinear multi-frequency highly oscillatory second-order ODEs with applications to semi-linear wave equations. (English) Zbl 1436.65197 Appl. Numer. Math. 153, 352-380 (2020). MSC: 65N35 65L06 65M06 65M12 65M15 35Q53 PDF BibTeX XML Cite \textit{C. Liu} and \textit{X. Wu}, Appl. Numer. Math. 153, 352--380 (2020; Zbl 1436.65197) Full Text: DOI OpenURL
Krainer, Thomas; Zhou, Chenzhang An explicit third-order one-step method for autonomous scalar initial value problems of first order based on quadratic Taylor approximation. (English) Zbl 1436.65082 Involve 13, No. 2, 231-255 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65L05 65L70 PDF BibTeX XML Cite \textit{T. Krainer} and \textit{C. Zhou}, Involve 13, No. 2, 231--255 (2020; Zbl 1436.65082) Full Text: DOI arXiv OpenURL
Ranocha, Hendrik; Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo; Ketcheson, David I. Relaxation Runge-Kutta methods: fully discrete explicit entropy-stable schemes for the compressible Euler and Navier-Stokes equations. (English) Zbl 1432.76207 SIAM J. Sci. Comput. 42, No. 2, A612-A638 (2020). MSC: 76M99 65M22 65L06 35Q30 35Q31 76N10 PDF BibTeX XML Cite \textit{H. Ranocha} et al., SIAM J. Sci. Comput. 42, No. 2, A612--A638 (2020; Zbl 1432.76207) Full Text: DOI arXiv OpenURL
Citro, Vincenzo; D’Ambrosio, Raffaele Nearly conservative multivalue methods with extended bounded parasitism. (English) Zbl 1448.37104 Appl. Numer. Math. 152, 221-230 (2020). MSC: 37M15 65P10 PDF BibTeX XML Cite \textit{V. Citro} and \textit{R. D'Ambrosio}, Appl. Numer. Math. 152, 221--230 (2020; Zbl 1448.37104) Full Text: DOI OpenURL
Bulatov, Mikhail; Solovarova, Liubov Collocation-variation difference schemes with several collocation points for differential-algebraic equations. (English) Zbl 1437.65085 Appl. Numer. Math. 149, 153-163 (2020). MSC: 65L80 65L05 65L60 PDF BibTeX XML Cite \textit{M. Bulatov} and \textit{L. Solovarova}, Appl. Numer. Math. 149, 153--163 (2020; Zbl 1437.65085) Full Text: DOI OpenURL
Alexandropoulos, Stamatios-Aggelos N.; Pardalos, Panos M.; Vrahatis, Michael N. Dynamic search trajectory methods for global optimization. (English) Zbl 1461.65113 Ann. Math. Artif. Intell. 88, No. 1-3, 3-37 (2020). MSC: 65K05 65K10 65L05 68T05 68T20 PDF BibTeX XML Cite \textit{S.-A. N. Alexandropoulos} et al., Ann. Math. Artif. Intell. 88, No. 1--3, 3--37 (2020; Zbl 1461.65113) Full Text: DOI OpenURL
Kulikov, G. Yu.; Kulikova, M. V. NIRK-based Cholesky-factorized square-root accurate continuous-discrete unscented Kalman filters for state estimation in nonlinear continuous-time stochastic models with discrete measurements. (English) Zbl 07137370 Appl. Numer. Math. 147, 196-221 (2020). MSC: 65Cxx PDF BibTeX XML Cite \textit{G. Yu. Kulikov} and \textit{M. V. Kulikova}, Appl. Numer. Math. 147, 196--221 (2020; Zbl 07137370) Full Text: DOI OpenURL
Li, Jiyong; Deng, Shuo; Wang, Xianfen Multi-step Nyström methods for general second-order initial value problems \(y''(t) = f(t,y(t), y'(t))\). (English) Zbl 1481.65102 Int. J. Comput. Math. 96, No. 6, 1254-1277 (2019). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Comput. Math. 96, No. 6, 1254--1277 (2019; Zbl 1481.65102) Full Text: DOI OpenURL
O’Sullivan, Stephen Runge-Kutta-Gegenbauer explicit methods for advection-diffusion problems. (English) Zbl 1452.65198 J. Comput. Phys. 388, 209-223 (2019). MSC: 65M12 65M22 65L04 PDF BibTeX XML Cite \textit{S. O'Sullivan}, J. Comput. Phys. 388, 209--223 (2019; Zbl 1452.65198) Full Text: DOI arXiv OpenURL
Séka, Hippolyte; Assui, Kouassi Richard Order of the Runge-Kutta method and evolution of the stability region. (English) Zbl 1450.65069 Ural Math. J. 5, No. 2, 64-71 (2019). MSC: 65L06 PDF BibTeX XML Cite \textit{H. Séka} and \textit{K. R. Assui}, Ural Math. J. 5, No. 2, 64--71 (2019; Zbl 1450.65069) Full Text: DOI MNR OpenURL
Rabiei, Faranak; Hamid, Fatin Abd; Majid, Zanariah Abd; Ismail, Fudziah Numerical solutions of Volterra integro-differential equations using general linear method. (English) Zbl 1451.65241 Numer. Algebra Control Optim. 9, No. 4, 433-444 (2019). MSC: 65R20 45J05 45D05 PDF BibTeX XML Cite \textit{F. Rabiei} et al., Numer. Algebra Control Optim. 9, No. 4, 433--444 (2019; Zbl 1451.65241) Full Text: DOI OpenURL
Tronarp, Filip; Kersting, Hans; Särkkä, Simo; Hennig, Philipp Probabilistic solutions to ordinary differential equations as nonlinear Bayesian filtering: a new perspective. (English) Zbl 1435.65020 Stat. Comput. 29, No. 6, 1297-1315 (2019). MSC: 65C30 65L05 62F15 93E11 PDF BibTeX XML Cite \textit{F. Tronarp} et al., Stat. Comput. 29, No. 6, 1297--1315 (2019; Zbl 1435.65020) Full Text: DOI arXiv OpenURL
Chkrebtii, Oksana A.; Campbell, David A. Adaptive step-size selection for state-space probabilistic differential equation solvers. (English) Zbl 1436.62092 Stat. Comput. 29, No. 6, 1285-1295 (2019). MSC: 62F15 62K05 65C05 65L05 PDF BibTeX XML Cite \textit{O. A. Chkrebtii} and \textit{D. A. Campbell}, Stat. Comput. 29, No. 6, 1285--1295 (2019; Zbl 1436.62092) Full Text: DOI OpenURL
You, Xiong; Zhang, Ruqiang; Huang, Ting; Fang, Yonglei Symmetric collocation ERKN methods for general second-order oscillators. (English) Zbl 1431.65103 Calcolo 56, No. 4, Paper No. 52, 22 p. (2019). MSC: 65L05 65L06 65L12 PDF BibTeX XML Cite \textit{X. You} et al., Calcolo 56, No. 4, Paper No. 52, 22 p. (2019; Zbl 1431.65103) Full Text: DOI OpenURL
Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice A note on the continuous-stage Runge-Kutta(-Nyström) formulation of Hamiltonian boundary value methods (HBVMs). (English) Zbl 1433.65123 Appl. Math. Comput. 363, Article ID 124634, 8 p. (2019). MSC: 65L05 65P10 34A45 PDF BibTeX XML Cite \textit{P. Amodio} et al., Appl. Math. Comput. 363, Article ID 124634, 8 p. (2019; Zbl 1433.65123) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{G. Singh} et al., Appl. Math. Comput. 362, Article ID 124567, 10 p. (2019; Zbl 1433.65128) Full Text: DOI OpenURL
Efimov, Denis; Polyakov, Andrey; Aleksandrov, Alexander Discretization of homogeneous systems using Euler method with a state-dependent step. (English) Zbl 1429.93291 Automatica 109, Article ID 108546, 9 p. (2019). MSC: 93D20 93B35 93C15 93C10 PDF BibTeX XML Cite \textit{D. Efimov} et al., Automatica 109, Article ID 108546, 9 p. (2019; Zbl 1429.93291) Full Text: DOI Link OpenURL
Yang, Huizi; Yang, Zhanwen; Ma, Shufang Theoretical and numerical analysis for Volterra integro-differential equations with Itô integral under polynomially growth conditions. (English) Zbl 1429.65022 Appl. Math. Comput. 360, 70-82 (2019). MSC: 65C30 34K07 45J05 60H20 91B70 PDF BibTeX XML Cite \textit{H. Yang} et al., Appl. Math. Comput. 360, 70--82 (2019; Zbl 1429.65022) Full Text: DOI OpenURL
Li, Jiyong Multi-step hybrid methods adapted to the numerical integration of oscillatory second-order systems. (English) Zbl 1427.65107 J. Appl. Math. Comput. 61, No. 1-2, 155-184 (2019). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{J. Li}, J. Appl. Math. Comput. 61, No. 1--2, 155--184 (2019; Zbl 1427.65107) Full Text: DOI OpenURL
Yousefi, Hassan; Rabczuk, Timon Multiresolution-based adaptive central high resolution schemes for modeling of nonlinear propagating fronts. (English) Zbl 1464.65094 Eng. Anal. Bound. Elem. 103, 172-195 (2019). MSC: 65M06 65T60 PDF BibTeX XML Cite \textit{H. Yousefi} and \textit{T. Rabczuk}, Eng. Anal. Bound. Elem. 103, 172--195 (2019; Zbl 1464.65094) Full Text: DOI OpenURL
Li, Jiyong; Wu, Xinyuan Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. (English) Zbl 1448.65266 Appl. Numer. Math. 145, 469-487 (2019). MSC: 65P10 65L06 37M15 PDF BibTeX XML Cite \textit{J. Li} and \textit{X. Wu}, Appl. Numer. Math. 145, 469--487 (2019; Zbl 1448.65266) Full Text: DOI OpenURL
Soleymani, F.; Barfeie, M. Pricing options under stochastic volatility jump model: a stable adaptive scheme. (English) Zbl 1433.91180 Appl. Numer. Math. 145, 69-89 (2019). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G20 60J76 PDF BibTeX XML Cite \textit{F. Soleymani} and \textit{M. Barfeie}, Appl. Numer. Math. 145, 69--89 (2019; Zbl 1433.91180) Full Text: DOI OpenURL
Li, Jiyong; Gao, Yachao Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. (English) Zbl 1416.65514 Numer. Algorithms 81, No. 4, 1379-1401 (2019). MSC: 65P10 65L06 65L05 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Gao}, Numer. Algorithms 81, No. 4, 1379--1401 (2019; Zbl 1416.65514) Full Text: DOI OpenURL
Wang, Bin; Wu, Xinyuan Global error bounds of one-stage extended RKN integrators for semilinear wave equations. (English) Zbl 1422.65229 Numer. Algorithms 81, No. 4, 1203-1218 (2019). MSC: 65M15 65P10 65L70 PDF BibTeX XML Cite \textit{B. Wang} and \textit{X. Wu}, Numer. Algorithms 81, No. 4, 1203--1218 (2019; Zbl 1422.65229) Full Text: DOI arXiv OpenURL
Lozano, Carlos Entropy production by implicit Runge-Kutta schemes. (English) Zbl 1431.65112 J. Sci. Comput. 79, No. 3, 1832-1853 (2019). MSC: 65L06 35L65 65M08 PDF BibTeX XML Cite \textit{C. Lozano}, J. Sci. Comput. 79, No. 3, 1832--1853 (2019; Zbl 1431.65112) Full Text: DOI OpenURL