Kemmochi, Tomoya; Sato, Shun Scalar auxiliary variable approach for conservative/dissipative partial differential equations with unbounded energy functionals. (English) Zbl 07569612 BIT 62, No. 3, 903-930 (2022). MSC: 65L05 65M06 65P10 PDF BibTeX XML Cite \textit{T. Kemmochi} and \textit{S. Sato}, BIT 62, No. 3, 903--930 (2022; Zbl 07569612) Full Text: DOI OpenURL
Bazavov, Alexei Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. (English) Zbl 07569607 BIT 62, No. 3, 745-771 (2022). MSC: 65L05 65L06 34C40 34G20 37M15 PDF BibTeX XML Cite \textit{A. Bazavov}, BIT 62, No. 3, 745--771 (2022; Zbl 07569607) Full Text: DOI OpenURL
Chen, Qingshan; Ju, Lili; Temam, Roger Conservative numerical schemes with optimal dispersive wave relations. II: Numerical evaluations. (English) Zbl 07568876 J. Sci. Comput. 92, No. 2, Paper No. 72, 30 p. (2022). MSC: 35Q86 86-08 86-10 37K06 65P10 PDF BibTeX XML Cite \textit{Q. Chen} et al., J. Sci. Comput. 92, No. 2, Paper No. 72, 30 p. (2022; Zbl 07568876) Full Text: DOI OpenURL
Li, Ting; Liu, Changying; Wang, Bin Long time energy and kinetic energy conservations of exponential integrators for highly oscillatory conservative systems. (English) Zbl 07568036 Numer. Math., Theory Methods Appl. 15, No. 3, 620-640 (2022). MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{T. Li} et al., Numer. Math., Theory Methods Appl. 15, No. 3, 620--640 (2022; Zbl 07568036) Full Text: DOI OpenURL
Wang, Bin; Wu, Xinyuan Long-time analysis of an extended RKN integrator for Hamiltonian systems with a solution-dependent high frequency. (English) Zbl 07567562 J. Comput. Appl. Math. 416, Article ID 114545, 17 p. (2022). MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{B. Wang} and \textit{X. Wu}, J. Comput. Appl. Math. 416, Article ID 114545, 17 p. (2022; Zbl 07567562) Full Text: DOI OpenURL
Hoang, Manh Tuan A novel second-order nonstandard finite difference method for solving one-dimensional autonomous dynamical systems. (English) Zbl 07567381 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106654, 13 p. (2022). MSC: 37M05 37M15 65L05 65P99 PDF BibTeX XML Cite \textit{M. T. Hoang}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106654, 13 p. (2022; Zbl 07567381) Full Text: DOI OpenURL
Antoñana, M.; Alberdi, E.; Makazaga, J.; Murua, A. An implicit symplectic solver for high-precision long-term integrations of the solar system. (English) Zbl 07563897 Celest. Mech. Dyn. Astron. 134, No. 3, Paper No. 31, 24 p. (2022). MSC: 70-XX PDF BibTeX XML Cite \textit{M. Antoñana} et al., Celest. Mech. Dyn. Astron. 134, No. 3, Paper No. 31, 24 p. (2022; Zbl 07563897) Full Text: DOI OpenURL
Hairer, Ernst; Lubich, Christian; Shi, Yanyan Large-stepsize integrators for charged-particle dynamics over multiple time scales. (English) Zbl 07549403 Numer. Math. 151, No. 3, 659-691 (2022). MSC: 65L05 65P10 78A35 78M25 PDF BibTeX XML Cite \textit{E. Hairer} et al., Numer. Math. 151, No. 3, 659--691 (2022; Zbl 07549403) Full Text: DOI OpenURL
Blanes, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A. On symmetric-conjugate composition methods in the numerical integration of differential equations. (English) Zbl 07541890 Math. Comput. 91, No. 336, 1739-1761 (2022). MSC: 65L05 65P10 37M15 PDF BibTeX XML Cite \textit{S. Blanes} et al., Math. Comput. 91, No. 336, 1739--1761 (2022; Zbl 07541890) 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 07538552 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 07538552) Full Text: DOI OpenURL
Duruisseaux, Valentin; Leok, Melvin A variational formulation of accelerated optimization on Riemannian manifolds. (English) Zbl 07537006 SIAM J. Math. Data Sci. 4, No. 2, 649-674 (2022). MSC: 37N40 65K10 65P10 70H15 PDF BibTeX XML Cite \textit{V. Duruisseaux} and \textit{M. Leok}, SIAM J. Math. Data Sci. 4, No. 2, 649--674 (2022; Zbl 07537006) Full Text: DOI OpenURL
Simoes, Alexandre Anahory; Marrero, Juan Carlos; de Diego, David Martín Exact discrete Lagrangian mechanics for nonholonomic mechanics. (English) Zbl 07533891 Numer. Math. 151, No. 1, 49-98 (2022). MSC: 70F25 70G45 65D30 65P10 PDF BibTeX XML Cite \textit{A. A. Simoes} et al., Numer. Math. 151, No. 1, 49--98 (2022; Zbl 07533891) Full Text: DOI OpenURL
Shi, Wei; Liu, Kai A dissipation-preserving integrator for damped oscillatory Hamiltonian systems. (English) Zbl 07533111 J. Comput. Math. 40, No. 4, 573-591 (2022). MSC: 65L05 65L07 65L20 65P10 PDF BibTeX XML Cite \textit{W. Shi} and \textit{K. Liu}, J. Comput. Math. 40, No. 4, 573--591 (2022; Zbl 07533111) Full Text: DOI OpenURL
Wang, Bin; Wu, Xinyuan Long-time oscillatory energy conservation of total energy-preserving methods for highly oscillatory Hamiltonian systems. (English) Zbl 07533088 J. Comput. Math. 40, No. 1, 70-88 (2022). MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{B. Wang} and \textit{X. Wu}, J. Comput. Math. 40, No. 1, 70--88 (2022; Zbl 07533088) Full Text: DOI OpenURL
Li, Jingshi; Chen, Song; Wang, Lijin; Cao, Yanzhao A symplectic based neural network algorithm for quantum controls under uncertainty. (English) Zbl 07529237 Commun. Comput. Phys. 31, No. 5, 1525-1545 (2022). MSC: 81Q93 81Q05 65P10 49M25 PDF BibTeX XML Cite \textit{J. Li} et al., Commun. Comput. Phys. 31, No. 5, 1525--1545 (2022; Zbl 07529237) Full Text: DOI OpenURL
Mei, Lijie; Huang, Li; Wu, Xinyuan Energy-preserving continuous-stage exponential Runge-Kutta integrators for efficiently solving Hamiltonian systems. (English) Zbl 07525084 SIAM J. Sci. Comput. 44, No. 3, A1092-A1115 (2022). MSC: 65L04 65L05 65L06 65P10 PDF BibTeX XML Cite \textit{L. Mei} et al., SIAM J. Sci. Comput. 44, No. 3, A1092--A1115 (2022; Zbl 07525084) Full Text: DOI OpenURL
Zanna, Antonella Symplectic P-stable additive Runge-Kutta methods. (English) Zbl 07524359 J. Comput. Dyn. 9, No. 2, 299-328 (2022). MSC: 65P10 65L06 37M15 65L07 PDF BibTeX XML Cite \textit{A. Zanna}, J. Comput. Dyn. 9, No. 2, 299--328 (2022; Zbl 07524359) Full Text: DOI OpenURL
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Applying splitting methods with complex coefficients to the numerical integration of unitary problems. (English) Zbl 07524349 J. Comput. Dyn. 9, No. 2, 85-101 (2022). MSC: 65L05 37M15 65P10 65M22 PDF BibTeX XML Cite \textit{S. Blanes} et al., J. Comput. Dyn. 9, No. 2, 85--101 (2022; Zbl 07524349) Full Text: DOI OpenURL
Duruisseaux, Valentin; Leok, Melvin Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators. (English) Zbl 07517435 J. Nonlinear Sci. 32, No. 4, Paper No. 42, 34 p. (2022). Reviewer: K. C. Sivakumar (Chennai) MSC: 90C48 37M15 37N40 65K10 65P10 70H45 PDF BibTeX XML Cite \textit{V. Duruisseaux} and \textit{M. Leok}, J. Nonlinear Sci. 32, No. 4, Paper No. 42, 34 p. (2022; Zbl 07517435) Full Text: DOI OpenURL
Hong, Jialin; Ji, Lihai; Wang, Xu; Zhang, Jingjing Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model. (English) Zbl 07515298 BIT 62, No. 2, 493-520 (2022). MSC: 37M15 60H35 65C30 PDF BibTeX XML Cite \textit{J. Hong} et al., BIT 62, No. 2, 493--520 (2022; Zbl 07515298) Full Text: DOI OpenURL
Cresson, Jacky; Jiménez, Fernando; Ober-Blöbaum, Sina Continuous and discrete Noether’s fractional conserved quantities for restricted calculus of variations. (English) Zbl 1487.49027 J. Geom. Mech. 14, No. 1, 57-89 (2022). MSC: 49K21 26A33 70G65 37M15 PDF BibTeX XML Cite \textit{J. Cresson} et al., J. Geom. Mech. 14, No. 1, 57--89 (2022; Zbl 1487.49027) Full Text: DOI OpenURL
Cai, Jiaxiang; Chen, Juan; Chen, Min Efficient linearized local energy-preserving method for the Kadomtsev-Petviashvili equation. (English) Zbl 07506975 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2441-2453 (2022). MSC: 65P10 65N35 65N06 PDF BibTeX XML Cite \textit{J. Cai} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2441--2453 (2022; Zbl 07506975) Full Text: DOI OpenURL
Cui, Jianbo; Dieci, Luca; Zhou, Haomin Time discretizations of Wasserstein-Hamiltonian flows. (English) Zbl 07506843 Math. Comput. 91, No. 335, 1019-1075 (2022). MSC: 65P10 35R02 58B20 65M12 PDF BibTeX XML Cite \textit{J. Cui} et al., Math. Comput. 91, No. 335, 1019--1075 (2022; Zbl 07506843) Full Text: DOI OpenURL
Talebi, Behnaz; Abdi, Ali; Hojjati, Gholamreza Composite symmetric second derivative general linear methods for Hamiltonian systems. (English) Zbl 07506749 Calcolo 59, No. 2, Paper No. 17, 27 p. (2022). MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{B. Talebi} et al., Calcolo 59, No. 2, Paper No. 17, 27 p. (2022; Zbl 07506749) Full Text: DOI OpenURL
McLachlan, Robert I. Tuning symplectic integrators is easy and worthwhile. (English) Zbl 1482.65228 Commun. Comput. Phys. 31, No. 3, 987-996 (2022). MSC: 65P10 65G50 PDF BibTeX XML Cite \textit{R. I. McLachlan}, Commun. Comput. Phys. 31, No. 3, 987--996 (2022; Zbl 1482.65228) Full Text: DOI arXiv OpenURL
Bouguessa, Souad; Bouagada, Djillali; Ghezzar, Mohammed Amine Influence of discretization step on asymptotic stability of a certain class of two-dimensional continuous-discrete fractional linear systems. (English) Zbl 07490418 Acta Math. Appl. Sin., Engl. Ser. 38, No. 1, 68-77 (2022). MSC: 37M15 65L03 34K37 34K20 26A33 PDF BibTeX XML Cite \textit{S. Bouguessa} et al., Acta Math. Appl. Sin., Engl. Ser. 38, No. 1, 68--77 (2022; Zbl 07490418) Full Text: DOI OpenURL
Cai, Jiaxiang; Shen, Bangyu Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs. (English) Zbl 07490201 Comput. Appl. Math. 41, No. 1, Paper No. 33, 19 p. (2022). MSC: 37K05 65M06 65P10 PDF BibTeX XML Cite \textit{J. Cai} and \textit{B. Shen}, Comput. Appl. Math. 41, No. 1, Paper No. 33, 19 p. (2022; Zbl 07490201) Full Text: DOI OpenURL
Sato Martín de Almagro, Rodrigo T. Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index \(2\). (English) Zbl 1485.65127 BIT 62, No. 1, 45-67 (2022). MSC: 65P10 65L80 65L06 70G45 70Hxx PDF BibTeX XML Cite \textit{R. T. Sato Martín de Almagro}, BIT 62, No. 1, 45--67 (2022; Zbl 1485.65127) Full Text: DOI arXiv OpenURL
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. (English) Zbl 07488345 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617-650 (2022). MSC: 37M15 37N30 65P10 78M34 PDF BibTeX XML Cite \textit{J. S. Hesthaven} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617--650 (2022; Zbl 07488345) Full Text: DOI arXiv OpenURL
Sharma, Harsh; Wang, Zhu; Kramer, Boris Hamiltonian operator inference: physics-preserving learning of reduced-order models for canonical Hamiltonian systems. (English) Zbl 1487.65193 Physica D 431, Article ID 133122, 15 p. (2022). MSC: 65P10 PDF BibTeX XML Cite \textit{H. Sharma} et al., Physica D 431, Article ID 133122, 15 p. (2022; Zbl 1487.65193) Full Text: DOI arXiv OpenURL
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 07484231 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 37N10 76B15 65M06 37M15 68T05 65F22 93A15 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 07484231) Full Text: DOI arXiv OpenURL
Jiang, Chaolong; Qian, Xu; Song, Songhe; Cui, Jin Arbitrary high-order linear structure-preserving schemes for the regularized long-wave equation. (English) Zbl 1487.65166 Appl. Numer. Math. 174, 89-111 (2022). Reviewer: Weizhong Dai (Ruston) MSC: 65M70 65M06 65N35 65L06 65P10 65M12 37M15 35Q53 PDF BibTeX XML Cite \textit{C. Jiang} et al., Appl. Numer. Math. 174, 89--111 (2022; Zbl 1487.65166) Full Text: DOI arXiv OpenURL
Cincotta, Pablo M.; Giordano, Claudia M.; Shevchenko, Ivan I. Revisiting the relation between the Lyapunov time and the instability time. (English) Zbl 07479432 Physica D 430, Article ID 133101, 12 p. (2022). MSC: 37M15 37J11 65P40 PDF BibTeX XML Cite \textit{P. M. Cincotta} et al., Physica D 430, Article ID 133101, 12 p. (2022; Zbl 07479432) Full Text: DOI OpenURL
Tran, Brian; Leok, Melvin Multisymplectic Hamiltonian variational integrators. (English) Zbl 1480.65369 Int. J. Comput. Math. 99, No. 1, 113-157 (2022). MSC: 65P10 37K58 53D42 70H25 PDF BibTeX XML Cite \textit{B. Tran} and \textit{M. Leok}, Int. J. Comput. Math. 99, No. 1, 113--157 (2022; Zbl 1480.65369) Full Text: DOI arXiv OpenURL
Abell, Dan T.; Dragt, Alex J. Structure-preserving techniques in accelerator physics. (English) Zbl 07479086 Int. J. Comput. Math. 99, No. 1, 89-112 (2022). MSC: 37M15 37J11 65P10 70H15 PDF BibTeX XML Cite \textit{D. T. Abell} and \textit{A. J. Dragt}, Int. J. Comput. Math. 99, No. 1, 89--112 (2022; Zbl 07479086) Full Text: DOI OpenURL
Böhle, T.; Kuehn, C.; Thalhammer, M. On the reliable and efficient numerical integration of the Kuramoto model and related dynamical systems on graphs. (English) Zbl 07479084 Int. J. Comput. Math. 99, No. 1, 31-57 (2022). MSC: 37M05 34C15 37E25 65L05 65P10 PDF BibTeX XML Cite \textit{T. Böhle} et al., Int. J. Comput. Math. 99, No. 1, 31--57 (2022; Zbl 07479084) Full Text: DOI arXiv OpenURL
Cohen, David; Vilmart, Gilles Drift-preserving numerical integrators for stochastic Poisson systems. (English) Zbl 1480.65014 Int. J. Comput. Math. 99, No. 1, 4-20 (2022). MSC: 65C30 65P10 60H10 60H35 PDF BibTeX XML Cite \textit{D. Cohen} and \textit{G. Vilmart}, Int. J. Comput. Math. 99, No. 1, 4--20 (2022; Zbl 1480.65014) Full Text: DOI arXiv OpenURL
Ha, Seung-Yeal; Shim, Woojoo; Yoon, Jaeyoung An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors. (English) Zbl 07474608 Commun. Math. Sci. 20, No. 2, 495-521 (2022). MSC: 65L05 34C15 34E10 37M15 PDF BibTeX XML Cite \textit{S.-Y. Ha} et al., Commun. Math. Sci. 20, No. 2, 495--521 (2022; Zbl 07474608) Full Text: DOI OpenURL
Chandramouli, Sathyanarayanan; Farhat, Aseel; H. Musslimani, Ziad Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws. (English) Zbl 07471640 Nonlinearity 35, No. 3, 1286-1310 (2022). MSC: 37M05 37M15 65M22 65M25 65M70 37K40 35Q51 PDF BibTeX XML Cite \textit{S. Chandramouli} et al., Nonlinearity 35, No. 3, 1286--1310 (2022; Zbl 07471640) Full Text: DOI arXiv OpenURL
Engel, Maximilian; Kuehn, Christian; Petrera, Matteo; Suris, Yuri Discretized fast-slow systems with canards in two dimensions. (English) Zbl 1484.39016 J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022). Reviewer: Jörg Härterich (Bochum) MSC: 39A28 39A12 34E15 34E20 37M15 37M20 37M21 37G10 65L06 PDF BibTeX XML Cite \textit{M. Engel} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022; Zbl 1484.39016) Full Text: DOI arXiv OpenURL
Bo, Yonghui; Cai, Jiaxiang; Cai, Wenjun; Wang, Yushun The exponential invariant energy quadratization approach for general multi-symplectic Hamiltonian PDEs. (English) Zbl 1480.65365 J. Comput. Appl. Math. 405, Article ID 113955, 17 p. (2022). MSC: 65P10 65M25 PDF BibTeX XML Cite \textit{Y. Bo} et al., J. Comput. Appl. Math. 405, Article ID 113955, 17 p. (2022; Zbl 1480.65365) Full Text: DOI OpenURL
Katsanikas, Matthaios; Sanjuan, Broncio Aguilar; Montoya, Francisco González; García-Garrido, Víctor J.; Wiggins, Stephen Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors. (English) Zbl 07443092 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106089, 17 p. (2022). MSC: 37M20 37M15 37J20 PDF BibTeX XML Cite \textit{M. Katsanikas} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106089, 17 p. (2022; Zbl 07443092) Full Text: DOI arXiv OpenURL
Kong, Xinlei; Wang, Zhongxin; Wu, Huibin Variational integrators for forced Lagrangian systems based on the local path fitting technique. (English) Zbl 07442828 Appl. Math. Comput. 416, Article ID 126739, 20 p. (2022). MSC: 70G75 65P10 92-08 PDF BibTeX XML Cite \textit{X. Kong} et al., Appl. Math. Comput. 416, Article ID 126739, 20 p. (2022; Zbl 07442828) Full Text: DOI OpenURL
Casas, F.; Escorihuela-Tomàs, A. High order integrators obtained by linear combinations of symmetric-conjugate compositions. (English) Zbl 07428141 Appl. Math. Comput. 414, Article ID 126700, 12 p. (2022). MSC: 65L05 65P10 37M15 PDF BibTeX XML Cite \textit{F. Casas} and \textit{A. Escorihuela-Tomàs}, Appl. Math. Comput. 414, Article ID 126700, 12 p. (2022; Zbl 07428141) Full Text: DOI arXiv OpenURL
García-Garrido, Víctor J.; García-Luengo, Julia Painting the phase space of dissipative systems with Lagrangian descriptors. (English) Zbl 1483.37100 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106034, 20 p. (2022). MSC: 37M15 37M21 37M20 37J12 PDF BibTeX XML Cite \textit{V. J. García-Garrido} and \textit{J. García-Luengo}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106034, 20 p. (2022; Zbl 1483.37100) Full Text: DOI arXiv OpenURL
Kraus, Michael Metriplectic integrators for dissipative fluids. (English) Zbl 07495228 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 292-301 (2021). MSC: 76M99 70H05 65P10 PDF BibTeX XML Cite \textit{M. Kraus}, Lect. Notes Comput. Sci. 12829, 292--301 (2021; Zbl 07495228) Full Text: DOI OpenURL
Demoures, François; Gay-Balmaz, François Multisymplectic variational integrators for fluid models with constraints. (English) Zbl 07495227 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 283-291 (2021). MSC: 76M99 76M30 76B10 65P10 PDF BibTeX XML Cite \textit{F. Demoures} and \textit{F. Gay-Balmaz}, Lect. Notes Comput. Sci. 12829, 283--291 (2021; Zbl 07495227) Full Text: DOI OpenURL
Bravetti, Alessandro; Seri, Marcello; Zadra, Federico New directions for contact integrators. (English) Zbl 07495219 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 209-216 (2021). MSC: 37M15 37J55 37N05 37J60 53D10 53D15 70F15 PDF BibTeX XML Cite \textit{A. Bravetti} et al., Lect. Notes Comput. Sci. 12829, 209--216 (2021; Zbl 07495219) Full Text: DOI OpenURL
Haine, Ghislain; Matignon, Denis Structure-preserving discretization of a coupled heat-wave system, as interconnected port-Hamiltonian systems. (English) Zbl 07495217 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 191-199 (2021). MSC: 76M10 76M45 65P10 PDF BibTeX XML Cite \textit{G. Haine} and \textit{D. Matignon}, Lect. Notes Comput. Sci. 12829, 191--199 (2021; Zbl 07495217) Full Text: DOI OpenURL
Bustamante, Adrián P.; Calleja, Renato C. Corrigendum and addendum to: “Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation”. (English) Zbl 1482.37052 Physica D 417, Article ID 132837, 7 p. (2021). MSC: 37J11 37M15 39A28 PDF BibTeX XML Cite \textit{A. P. Bustamante} and \textit{R. C. Calleja}, Physica D 417, Article ID 132837, 7 p. (2021; Zbl 1482.37052) Full Text: DOI arXiv OpenURL
Tzemos, A. C.; Contopoulos, G. Order and chaos in time periodic Hamiltonian systems. (English) Zbl 07479448 Physica D 419, Article ID 132847, 12 p. (2021). MSC: 37J46 37J12 34C28 65P10 PDF BibTeX XML Cite \textit{A. C. Tzemos} and \textit{G. Contopoulos}, Physica D 419, Article ID 132847, 12 p. (2021; Zbl 07479448) Full Text: DOI OpenURL
Fernández, Javier; Zurita, Sebastián Elías Graiff; Grillo, Sergio Erratum to: “Error analysis of forced discrete mechanical systems”. (English) Zbl 07478928 J. Geom. Mech. 13, No. 4, 679 (2021). MSC: 37J99 37M15 70G45 70G75 PDF BibTeX XML Cite \textit{J. Fernández} et al., J. Geom. Mech. 13, No. 4, 679 (2021; Zbl 07478928) Full Text: DOI OpenURL
Fernández, Javier; Zurita, Sebastián Elías Graiff; Grillo, Sergio Error analysis of forced discrete mechanical systems. (English) Zbl 07478924 J. Geom. Mech. 13, No. 4, 533-606 (2021); erratum ibid. 13, No. 4, 679 (2021). MSC: 37M15 70G45 70G75 65P10 PDF BibTeX XML Cite \textit{J. Fernández} et al., J. Geom. Mech. 13, No. 4, 533--606 (2021; Zbl 07478924) Full Text: DOI arXiv OpenURL
Baghel, Mohit Kumar; Gillis, Nicolas; Sharma, Punit Characterization of the dissipative mappings and their application to perturbations of dissipative-Hamiltonian systems. (English) Zbl 07478628 Numer. Linear Algebra Appl. 28, No. 6, e2402, 20 p. (2021). MSC: 93D20 65P10 PDF BibTeX XML Cite \textit{M. K. Baghel} et al., Numer. Linear Algebra Appl. 28, No. 6, e2402, 20 p. (2021; Zbl 07478628) Full Text: DOI arXiv OpenURL
Seydaoğlu, Muaz; Uçar, Yusuf; Kutluay, Selçuk An efficient Strang splitting technique combined with the multiquadric-radial basis function for the Burgers’ equation. (English) Zbl 07453259 Comput. Appl. Math. 40, No. 8, Paper No. 309, 28 p. (2021). MSC: 65L05 65M20 37M15 PDF BibTeX XML Cite \textit{M. Seydaoğlu} et al., Comput. Appl. Math. 40, No. 8, Paper No. 309, 28 p. (2021; Zbl 07453259) Full Text: DOI OpenURL
Schmalian, Misha; Suris, Yuri B.; Tumarkin, Yuriy How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6. (English) Zbl 1485.37063 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 40, 19 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J70 37M15 39A36 14E05 14H70 PDF BibTeX XML Cite \textit{M. Schmalian} et al., Math. Phys. Anal. Geom. 24, No. 4, Paper No. 40, 19 p. (2021; Zbl 1485.37063) Full Text: DOI arXiv OpenURL
Eklund, Elliot C.; Ananth, Nandini Investigating the stability and accuracy of a classical mapping variable Hamiltonian for nonadiabatic quantum dynamics. (English) Zbl 07441601 Regul. Chaotic Dyn. 26, No. 2, 131-146 (2021). MSC: 82M37 37J20 37M15 70H33 81S40 PDF BibTeX XML Cite \textit{E. C. Eklund} and \textit{N. Ananth}, Regul. Chaotic Dyn. 26, No. 2, 131--146 (2021; Zbl 07441601) Full Text: DOI OpenURL
Olver, Peter J.; Stern, Ari Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices. (English) Zbl 1484.37093 Eur. J. Appl. Math. 32, No. 5, 820-845 (2021). MSC: 37L60 28A80 42A32 65P10 70F45 PDF BibTeX XML Cite \textit{P. J. Olver} and \textit{A. Stern}, Eur. J. Appl. Math. 32, No. 5, 820--845 (2021; Zbl 1484.37093) Full Text: DOI arXiv OpenURL
Bernier, Joackim Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. (English) Zbl 1484.65331 Found. Comput. Math. 21, No. 5, 1401-1439 (2021). MSC: 65P10 65M70 47A60 35C15 PDF BibTeX XML Cite \textit{J. Bernier}, Found. Comput. Math. 21, No. 5, 1401--1439 (2021; Zbl 1484.65331) Full Text: DOI arXiv OpenURL
Liu, Zhongli; Sa, Xiaoxue; Tian, Hongjiong Asymptotic-numerical solvers for highly oscillatory ordinary differential equations and Hamiltonian systems. (English) Zbl 1476.65131 Comput. Appl. Math. 40, No. 8, Paper No. 291, 19 p. (2021). MSC: 65L05 65P10 PDF BibTeX XML Cite \textit{Z. Liu} et al., Comput. Appl. Math. 40, No. 8, Paper No. 291, 19 p. (2021; Zbl 1476.65131) Full Text: DOI OpenURL
Popescu, M.; Popescu, P.; Ramos, H. Some new discretizations of the Euler-Lagrange equation. (English) Zbl 07427961 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106002, 14 p. (2021). MSC: 65M06 35Q31 37M15 39A12 PDF BibTeX XML Cite \textit{M. Popescu} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106002, 14 p. (2021; Zbl 07427961) Full Text: DOI OpenURL
Agaoglou, Makrina; García-Garrido, Víctor J.; Katsanikas, Matthaios; Wiggins, Stephen Visualizing the phase space of the HeI\(_2\) van der Waals complex using Lagrangian descriptors. (English) Zbl 1483.37098 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105993, 20 p. (2021). MSC: 37M15 37N15 65P10 80A30 PDF BibTeX XML Cite \textit{M. Agaoglou} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105993, 20 p. (2021; Zbl 1483.37098) Full Text: DOI arXiv OpenURL
Wang, Xinwei; Liu, Jie; Peng, Haijun Symplectic pseudospectral methods for optimal control. Theory and applications in path planning. (English) Zbl 07420699 Intelligent Systems, Control and Automation: Science and Engineering 97. Singapore: Springer (ISBN 978-981-15-3437-9/hbk; 978-981-15-3440-9/pbk; 978-981-15-3438-6/ebook). xi, 178 p. (2021). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49-01 49M05 49K15 49R05 65P10 93C15 PDF BibTeX XML Cite \textit{X. Wang} et al., Symplectic pseudospectral methods for optimal control. Theory and applications in path planning. Singapore: Springer (2021; Zbl 07420699) Full Text: DOI OpenURL
Xia, Lili; Ge, Xinsheng; Chen, Liqun Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems. (English) Zbl 07420456 Anal. Math. Phys. 11, No. 4, Paper No. 159, 20 p. (2021). MSC: 70S10 37M15 65Z05 PDF BibTeX XML Cite \textit{L. Xia} et al., Anal. Math. Phys. 11, No. 4, Paper No. 159, 20 p. (2021; Zbl 07420456) Full Text: DOI OpenURL
Hong, Jialin; Ruan, Jialin; Sun, Liying; Wang, Lijin Structure-preserving numerical methods for stochastic Poisson systems. (English) Zbl 1481.65261 Commun. Comput. Phys. 29, No. 3, 802-830 (2021). MSC: 65N75 65P10 65D30 35R60 60H15 60H35 35J05 PDF BibTeX XML Cite \textit{J. Hong} et al., Commun. Comput. Phys. 29, No. 3, 802--830 (2021; Zbl 1481.65261) Full Text: DOI arXiv OpenURL
Chen, Qingshan; Ju, Lili; Temam, Roger Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. (English) Zbl 1477.35273 Numer. Math. 149, No. 1, 43-85 (2021). MSC: 35Q86 35Q35 76B47 76U60 76U65 86A05 65M08 65P10 86-08 PDF BibTeX XML Cite \textit{Q. Chen} et al., Numer. Math. 149, No. 1, 43--85 (2021; Zbl 1477.35273) Full Text: DOI arXiv OpenURL
Zhao, Xiaofei Numerical integrators for continuous disordered nonlinear Schrödinger equation. (English) Zbl 1482.35222 J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021). MSC: 35Q55 35Q41 35B65 65L20 65L70 65M06 65M12 65M15 65T50 65P10 60H40 82C44 35R60 PDF BibTeX XML Cite \textit{X. Zhao}, J. Sci. Comput. 89, No. 2, Paper No. 40, 27 p. (2021; Zbl 1482.35222) Full Text: DOI arXiv OpenURL
Blanes, S.; Calvo, M. P.; Casas, F.; Sanz-Serna, J. M. Symmetrically processed splitting integrators for enhanced Hamiltonian Monte Carlo sampling. (English) Zbl 1487.65006 SIAM J. Sci. Comput. 43, No. 5, A3357-A3371 (2021). MSC: 65C05 37M15 65L05 PDF BibTeX XML Cite \textit{S. Blanes} et al., SIAM J. Sci. Comput. 43, No. 5, A3357--A3371 (2021; Zbl 1487.65006) Full Text: DOI arXiv OpenURL
Qiu, Zhiping; Jiang, Nan A symplectic conservative perturbation series expansion method for linear Hamiltonian systems with perturbations and its applications. (English) Zbl 07409168 Adv. Appl. Math. Mech. 13, No. 6, 1535-1557 (2021). MSC: 74H15 37N15 65P10 65M06 PDF BibTeX XML Cite \textit{Z. Qiu} and \textit{N. Jiang}, Adv. Appl. Math. Mech. 13, No. 6, 1535--1557 (2021; Zbl 07409168) Full Text: DOI OpenURL
Bo, Yonghui; Cai, Wenjun; Wang, Yushun A note on the generating function method. (English) Zbl 07409147 Adv. Appl. Math. Mech. 13, No. 4, 982-1004 (2021). MSC: 65P10 65L05 70H15 70H20 PDF BibTeX XML Cite \textit{Y. Bo} et al., Adv. Appl. Math. Mech. 13, No. 4, 982--1004 (2021; Zbl 07409147) Full Text: DOI OpenURL
Berchenko-Kogan, Yakov; Stern, Ari Constraint-preserving hybrid finite element methods for Maxwell’s equations. (English) Zbl 1478.78069 Found. Comput. Math. 21, No. 4, 1075-1098 (2021). MSC: 78M10 78M20 78M50 65M60 65M06 65N30 65L06 65P10 65M55 65N25 49M41 35Q61 PDF BibTeX XML Cite \textit{Y. Berchenko-Kogan} and \textit{A. Stern}, Found. Comput. Math. 21, No. 4, 1075--1098 (2021; Zbl 1478.78069) Full Text: DOI arXiv OpenURL
Argus, Finbar J.; Bradley, Chris P.; Hunter, Peter J. Theory and implementation of coupled port-Hamiltonian continuum and lumped parameter models. (English) Zbl 07402846 J. Elasticity 145, No. 1-2, 339-382 (2021). MSC: 65P10 35L05 74F99 65M60 PDF BibTeX XML Cite \textit{F. J. Argus} et al., J. Elasticity 145, No. 1--2, 339--382 (2021; Zbl 07402846) Full Text: DOI OpenURL
Buchfink, Patrick; Haasdonk, Bernard Experimental comparison of symplectic and non-symplectic model order reduction on an uncertainty quantification problem. (English) Zbl 1470.65206 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 205-213 (2021). MSC: 65P10 37M15 PDF BibTeX XML Cite \textit{P. Buchfink} and \textit{B. Haasdonk}, Lect. Notes Comput. Sci. Eng. 139, 205--213 (2021; Zbl 1470.65206) Full Text: DOI OpenURL
França, Guilherme; Jordan, Michael I.; Vidal, René On dissipative symplectic integration with applications to gradient-based optimization. (English) Zbl 07398321 J. Stat. Mech. Theory Exp. 2021, No. 4, Article ID 043402, 39 p. (2021). MSC: 82B20 82D40 82M31 65D30 65P10 37M15 90C52 PDF BibTeX XML Cite \textit{G. França} et al., J. Stat. Mech. Theory Exp. 2021, No. 4, Article ID 043402, 39 p. (2021; Zbl 07398321) Full Text: DOI arXiv OpenURL
Liu, Kai; Fu, Ting; Shi, Wei A dissipation-preserving scheme for damped oscillatory Hamiltonian systems based on splitting. (English) Zbl 1482.65227 Appl. Numer. Math. 170, 242-254 (2021). MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{K. Liu} et al., Appl. Numer. Math. 170, 242--254 (2021; Zbl 1482.65227) Full Text: DOI OpenURL
Roubíček, Tomáš; Tsogka, Chrysoula Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables. (English) Zbl 1481.65189 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 397-416 (2021). MSC: 65M60 65M06 65N30 65M12 65P10 65Z05 74C10 74F10 74H15 74R20 74S05 76S05 76A10 26A33 PDF BibTeX XML Cite \textit{T. Roubíček} and \textit{C. Tsogka}, ESAIM, Math. Model. Numer. Anal. 55, 397--416 (2021; Zbl 1481.65189) Full Text: DOI arXiv OpenURL
Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo On computational Poisson geometry. II. Numerical methods. (English) Zbl 1476.53022 J. Comput. Dyn. 8, No. 3, 273-307 (2021). MSC: 53-04 53D17 65P10 PDF BibTeX XML Cite \textit{M. Á. Evangelista-Alvarado} et al., J. Comput. Dyn. 8, No. 3, 273--307 (2021; Zbl 1476.53022) Full Text: DOI arXiv OpenURL
García-Naranjo, Luis C.; Vermeeren, Mats Structure preserving discretization of time-reparametrized Hamiltonian systems with application to nonholonomic mechanics. (English) Zbl 1479.37082 J. Comput. Dyn. 8, No. 3, 241-271 (2021). MSC: 37M15 65P10 37J60 70G45 PDF BibTeX XML Cite \textit{L. C. García-Naranjo} and \textit{M. Vermeeren}, J. Comput. Dyn. 8, No. 3, 241--271 (2021; Zbl 1479.37082) Full Text: DOI arXiv OpenURL
Duruisseaux, Valentin; Schmitt, Jeremy; Leok, Melvin Adaptive Hamiltonian variational integrators and applications to symplectic accelerated optimization. (English) Zbl 1483.37099 SIAM J. Sci. Comput. 43, No. 4, A2949-A2980 (2021). Reviewer: Luigi Brugnano (Firenze) MSC: 37M15 37N40 65K10 65P10 70H15 PDF BibTeX XML Cite \textit{V. Duruisseaux} et al., SIAM J. Sci. Comput. 43, No. 4, A2949--A2980 (2021; Zbl 1483.37099) Full Text: DOI arXiv OpenURL
Li, Xin; Gong, Yuezheng; Zhang, Luming Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach. (English) Zbl 1480.35358 J. Sci. Comput. 88, No. 1, Paper No. 20, 25 p. (2021). MSC: 35Q55 35Q41 65M70 65L06 65P10 65N35 PDF BibTeX XML Cite \textit{X. Li} et al., J. Sci. Comput. 88, No. 1, Paper No. 20, 25 p. (2021; Zbl 1480.35358) Full Text: DOI OpenURL
Wang, Bin; Zhao, Xiaofei Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field. (English) Zbl 07383913 SIAM J. Numer. Anal. 59, No. 4, 2075-2105 (2021). MSC: 65L05 65L20 65L70 65P10 78A35 78M25 PDF BibTeX XML Cite \textit{B. Wang} and \textit{X. Zhao}, SIAM J. Numer. Anal. 59, No. 4, 2075--2105 (2021; Zbl 07383913) Full Text: DOI arXiv OpenURL
Wang, Zhongjian; Xin, Jack; Zhang, Zhiwen Sharp error estimates on a stochastic structure-preserving scheme In computing effective diffusivity of 3D chaotic flows. (English) Zbl 07382148 Multiscale Model. Simul. 19, No. 3, 1167-1189 (2021). MSC: 65-XX 35B27 37M25 60H35 65P10 65M75 76R99 PDF BibTeX XML Cite \textit{Z. Wang} et al., Multiscale Model. Simul. 19, No. 3, 1167--1189 (2021; Zbl 07382148) Full Text: DOI arXiv OpenURL
Wang, Bin; Wu, Xinyuan A long-term numerical energy-preserving analysis of symmetric and/or symplectic extended RKN integrators for efficiently solving highly oscillatory Hamiltonian systems. (English) Zbl 1472.65159 BIT 61, No. 3, 977-1004 (2021). MSC: 65P10 65L05 65L06 PDF BibTeX XML Cite \textit{B. Wang} and \textit{X. Wu}, BIT 61, No. 3, 977--1004 (2021; Zbl 1472.65159) Full Text: DOI arXiv OpenURL
Sharkovsky, A. N.; Romanenko, E. Yu.; Akbergenov, A. A. Computer turbulence as a tunnelling effect. (English. Ukrainian original) Zbl 07378018 J. Math. Sci., New York 256, No. 5, 703-712 (2021); translation from Neliniĭni Kolyvannya 23, No. 1, 124-133 (2020). Reviewer: Petr Sváček (Praha) MSC: 65M06 65N06 35F05 37D45 37N20 37M15 60J65 PDF BibTeX XML Cite \textit{A. N. Sharkovsky} et al., J. Math. Sci., New York 256, No. 5, 703--712 (2021; Zbl 07378018); translation from Neliniĭni Kolyvannya 23, No. 1, 124--133 (2020) Full Text: DOI OpenURL
Kalita, Piotr; Zgliczyński, Piotr Rigorous FEM for one-dimensional Burgers equation. (English) Zbl 07377264 SIAM J. Appl. Dyn. Syst. 20, No. 2, 853-907 (2021). MSC: 65M60 35B10 37L05 37M15 35Q53 68V15 PDF BibTeX XML Cite \textit{P. Kalita} and \textit{P. Zgliczyński}, SIAM J. Appl. Dyn. Syst. 20, No. 2, 853--907 (2021; Zbl 07377264) Full Text: DOI arXiv OpenURL
Saito, Takeshi; Yagasaki, Kazuyuki Chebyshev spectral methods for computing center manifolds. (English) Zbl 1481.37099 J. Comput. Dyn. 8, No. 2, 165-181 (2021). Reviewer: Fernando Casas (Castellon) MSC: 37M21 37M15 65P10 PDF BibTeX XML Cite \textit{T. Saito} and \textit{K. Yagasaki}, J. Comput. Dyn. 8, No. 2, 165--181 (2021; Zbl 1481.37099) Full Text: DOI OpenURL
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Structure preserving model order reduction of shallow water equations. (English) Zbl 1484.65181 Math. Methods Appl. Sci. 44, No. 1, 476-492 (2021). Reviewer: Petr Sváček (Praha) MSC: 65M06 65M99 65C05 65P10 76B15 15A69 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Math. Methods Appl. Sci. 44, No. 1, 476--492 (2021; Zbl 1484.65181) Full Text: DOI arXiv OpenURL
Frumin, Leonid L. Algorithms for solving scattering problems for the Manakov model of nonlinear Schrödinger equations. (English) Zbl 1468.65222 J. Inverse Ill-Posed Probl. 29, No. 3, 369-383 (2021). MSC: 65R32 37K15 37K40 34L25 37M15 PDF BibTeX XML Cite \textit{L. L. Frumin}, J. Inverse Ill-Posed Probl. 29, No. 3, 369--383 (2021; Zbl 1468.65222) Full Text: DOI arXiv OpenURL
Haro, Alex; Mondelo, J. M. Flow map parameterization methods for invariant tori in Hamiltonian systems. (English) Zbl 1473.37100 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105859, 34 p. (2021). MSC: 37M21 37M15 37J40 70H08 70K43 PDF BibTeX XML Cite \textit{A. Haro} and \textit{J. M. Mondelo}, Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105859, 34 p. (2021; Zbl 1473.37100) Full Text: DOI arXiv OpenURL
Pagliantini, Cecilia Dynamical reduced basis methods for Hamiltonian systems. (English) Zbl 1471.65217 Numer. Math. 148, No. 2, 409-448 (2021). MSC: 65P10 65L06 37M15 PDF BibTeX XML Cite \textit{C. Pagliantini}, Numer. Math. 148, No. 2, 409--448 (2021; Zbl 1471.65217) Full Text: DOI arXiv OpenURL
Zhang, Shengliang Meshless symplectic radial basis procedure for solving KdV equation. (Chinese. English summary) Zbl 1474.65470 Math. Appl. 34, No. 2, 457-462 (2021). MSC: 65P10 PDF BibTeX XML Cite \textit{S. Zhang}, Math. Appl. 34, No. 2, 457--462 (2021; Zbl 1474.65470) OpenURL
Rath, Katharina; Albert, Christopher G.; Bischl, Bernd; von Toussaint, Udo Symplectic Gaussian process regression of maps in Hamiltonian systems. (English) Zbl 1471.37072 Chaos 31, No. 5, 053121, 24 p. (2021). MSC: 37M15 65P10 PDF BibTeX XML Cite \textit{K. Rath} et al., Chaos 31, No. 5, 053121, 24 p. (2021; Zbl 1471.37072) Full Text: DOI arXiv OpenURL
Viorel, Adrian; Alecsa, Cristian D.; Pinţa, Titus O. Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems. (English) Zbl 1471.37073 Discrete Contin. Dyn. Syst. 41, No. 7, 3319-3341 (2021). MSC: 37M15 65P10 65L06 PDF BibTeX XML Cite \textit{A. Viorel} et al., Discrete Contin. Dyn. Syst. 41, No. 7, 3319--3341 (2021; Zbl 1471.37073) Full Text: DOI OpenURL
Hesthaven, Jan S.; Pagliantini, Cecilia Structure-preserving reduced basis methods for Poisson systems. (English) Zbl 1465.37095 Math. Comput. 90, No. 330, 1701-1740 (2021). MSC: 37M15 37M05 65P10 PDF BibTeX XML Cite \textit{J. S. Hesthaven} and \textit{C. Pagliantini}, Math. Comput. 90, No. 330, 1701--1740 (2021; Zbl 1465.37095) Full Text: DOI OpenURL
Ito, Shin-ichi; Matsuda, Takeru; Miyatake, Yuto Adjoint-based exact Hessian computation. (English) Zbl 1470.65126 BIT 61, No. 2, 503-522 (2021). MSC: 65L05 65L06 65F10 65K10 65P10 49M25 PDF BibTeX XML Cite \textit{S.-i. Ito} et al., BIT 61, No. 2, 503--522 (2021; Zbl 1470.65126) Full Text: DOI arXiv OpenURL
Moore, Brian E. Exponential integrators based on discrete gradients for linearly damped/driven Poisson systems. (English) Zbl 1471.65216 J. Sci. Comput. 87, No. 2, Paper No. 56, 18 p. (2021). MSC: 65P10 65L12 PDF BibTeX XML Cite \textit{B. E. Moore}, J. Sci. Comput. 87, No. 2, Paper No. 56, 18 p. (2021; Zbl 1471.65216) Full Text: DOI OpenURL
Gubbiotti, Giorgio Lax pairs for the discrete reduced Nahm systems. (English) Zbl 1460.37064 Math. Phys. Anal. Geom. 24, No. 2, Paper No. 9, 13 p. (2021). MSC: 37K10 37M15 39A10 PDF BibTeX XML Cite \textit{G. Gubbiotti}, Math. Phys. Anal. Geom. 24, No. 2, Paper No. 9, 13 p. (2021; Zbl 1460.37064) Full Text: DOI arXiv OpenURL
Sakai, Tsubasa; Kudo, Shuhei; Imachi, Hiroto; Miyatake, Yuto; Hoshi, Takeo; Yamamoto, Yusaku A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics. (English) Zbl 1471.65079 Japan J. Ind. Appl. Math. 38, No. 1, 105-123 (2021). MSC: 65L05 65L06 65P10 65Y05 68W10 PDF BibTeX XML Cite \textit{T. Sakai} et al., Japan J. Ind. Appl. Math. 38, No. 1, 105--123 (2021; Zbl 1471.65079) Full Text: DOI arXiv OpenURL
Singh, Mohit; Morkina, Alina Y.; Korznikova, Elena A.; Dubinko, Volodymyr I.; Terentiev, Dmitry A.; Xiong, Daxing; Naimark, Oleg B.; Gani, Vakhid A.; Dmitriev, Sergey V. Effect of discrete breathers on the specific heat of a nonlinear chain. (English) Zbl 1467.37070 J. Nonlinear Sci. 31, No. 1, Paper No. 12, 27 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 37K60 65P10 65P40 PDF BibTeX XML Cite \textit{M. Singh} et al., J. Nonlinear Sci. 31, No. 1, Paper No. 12, 27 p. (2021; Zbl 1467.37070) Full Text: DOI arXiv OpenURL
Jiménez, Fernando; Ober-Blöbaum, Sina Fractional damping through restricted calculus of variations. (English) Zbl 1477.70031 J. Nonlinear Sci. 31, No. 2, Paper No. 46, 43 p. (2021). MSC: 70H30 70H25 26A33 37J46 49K21 49S05 65P10 PDF BibTeX XML Cite \textit{F. Jiménez} and \textit{S. Ober-Blöbaum}, J. Nonlinear Sci. 31, No. 2, Paper No. 46, 43 p. (2021; Zbl 1477.70031) Full Text: DOI arXiv OpenURL