Hirani, Anil N.; Wan, Andy T. S.; Wojtalewicz, Nikolas Conservative integrators for piecewise smooth systems with transversal dynamics. (English) Zbl 07815418 J. Comput. Dyn. 11, No. 2, 135-152 (2024). MSC: 65L05 65L12 65L20 65L70 65P10 37M05 37M15 PDFBibTeX XMLCite \textit{A. N. Hirani} et al., J. Comput. Dyn. 11, No. 2, 135--152 (2024; Zbl 07815418) Full Text: DOI arXiv
Herkert, Robin; Buchfink, Patrick; Haasdonk, Bernard Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems. (English) Zbl 07811921 Adv. Comput. Math. 50, No. 1, Paper No. 12, 34 p. (2024). MSC: 37-XX 34C20 37M15 65P10 78M34 93A15 PDFBibTeX XMLCite \textit{R. Herkert} et al., Adv. Comput. Math. 50, No. 1, Paper No. 12, 34 p. (2024; Zbl 07811921) Full Text: DOI arXiv OA License
Borges, Vinícius S.; Silva, Magno T. M.; Eisencraft, Marcio Chaotic properties of an FIR filtered Hénon map. (English) Zbl 07810043 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107845, 13 p. (2024). MSC: 94A12 93E11 37D45 37M25 37M15 37N10 65P20 PDFBibTeX XMLCite \textit{V. S. Borges} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107845, 13 p. (2024; Zbl 07810043) Full Text: DOI arXiv
McLachlan, Robert I.; Stern, Ari Functional equivariance and conservation laws in numerical integration. (English) Zbl 07808384 Found. Comput. Math. 24, No. 1, 149-177 (2024). MSC: 37M15 PDFBibTeX XMLCite \textit{R. I. McLachlan} and \textit{A. Stern}, Found. Comput. Math. 24, No. 1, 149--177 (2024; Zbl 07808384) Full Text: DOI arXiv
Laurent, Adrien The Lie derivative and Noether’s theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators. (English) Zbl 07807504 J. Comput. Dyn. 11, No. 1, 10-22 (2024). MSC: 14-XX 05C05 41A58 37M15 58A12 58J10 58E30 PDFBibTeX XMLCite \textit{A. Laurent}, J. Comput. Dyn. 11, No. 1, 10--22 (2024; Zbl 07807504) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Plum, Michael Dynamics of the black soliton in a regularized nonlinear Schrödinger equation. (English) Zbl 07805267 Proc. Am. Math. Soc. 152, No. 3, 1217-1231 (2024). MSC: 35Q55 37K45 35P30 37M15 35C08 35C07 35B65 35B20 35A01 35A02 65M06 65N06 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} and \textit{M. Plum}, Proc. Am. Math. Soc. 152, No. 3, 1217--1231 (2024; Zbl 07805267) Full Text: DOI arXiv
Blanco, L.; Jiménez, F.; de Lucas, J.; Sardón, C. Geometry-preserving numerical methods for physical systems with finite-dimensional Lie algebras. (English) Zbl 07797094 J. Nonlinear Sci. 34, No. 1, Paper No. 26, 40 p. (2024). MSC: 65L05 34A26 53A70 37M15 PDFBibTeX XMLCite \textit{L. Blanco} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 26, 40 p. (2024; Zbl 07797094) Full Text: DOI arXiv
Jiang, Canghua; Liu, Jianhui; Yu, Ming; Ping, Zhaowu Efficient delay and parameter estimation for nonlinear systems based on lifted IRK integrators with inexact Jacobians. (English) Zbl 07775221 J. Ind. Manag. Optim. 20, No. 2, 647-663 (2024). MSC: 49M37 93C23 37M15 PDFBibTeX XMLCite \textit{C. Jiang} et al., J. Ind. Manag. Optim. 20, No. 2, 647--663 (2024; Zbl 07775221) Full Text: DOI
Aizawa, Yuto; Kimura, Masato; Matsui, Kazunori Universal approximation properties for an ODENet and a ResNet: mathematical analysis and numerical experiments. (English) Zbl 07770115 Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 351-376 (2024). MSC: 68T07 37M15 41A46 41A63 65L12 65P99 PDFBibTeX XMLCite \textit{Y. Aizawa} et al., Discrete Contin. Dyn. Syst., Ser. B 29, No. 1, 351--376 (2024; Zbl 07770115) Full Text: DOI arXiv
Khatoon, Areefa; Raheem, Abdur; Afreen, Asma Time-discretization method for a multi-term time fractional differential equation with delay. arXiv:2403.07823 Preprint, arXiv:2403.07823 [math.NA] (2024). MSC: 34G20 26A33 37M15 47H06 34K30 BibTeX Cite \textit{A. Khatoon} et al., ``Time-discretization method for a multi-term time fractional differential equation with delay'', Preprint, arXiv:2403.07823 [math.NA] (2024) Full Text: arXiv OA License
Yadav, Rishikesh; Mauroy, Alexandre Approximation of the Koopman operator via Bernstein polynomials. arXiv:2403.02438 Preprint, arXiv:2403.02438 [math.DS] (2024). MSC: 37L65 37M15 41A36 41A25 47B33 BibTeX Cite \textit{R. Yadav} and \textit{A. Mauroy}, ``Approximation of the Koopman operator via Bernstein polynomials'', Preprint, arXiv:2403.02438 [math.DS] (2024) Full Text: arXiv OA License
Esen, Oğul; Gezici, Ayten; Gümral, Hasan Discrete Dynamics on Locally Conformal Framework. arXiv:2403.00312 Preprint, arXiv:2403.00312 [math-ph] (2024). MSC: 37J70 53A70 37M15 BibTeX Cite \textit{O. Esen} et al., ``Discrete Dynamics on Locally Conformal Framework'', Preprint, arXiv:2403.00312 [math-ph] (2024) Full Text: arXiv OA License
Tanaka, Yuta; Maruno, Ken-ichi Integrable discretizations of the SIR model. (English) Zbl 07817731 RIMS Kôkyûroku Bessatsu B94, 85-115 (2023). MSC: 39A36 37M15 37N25 92D25 PDFBibTeX XMLCite \textit{Y. Tanaka} and \textit{K.-i. Maruno}, RIMS Kôkyûroku Bessatsu B94, 85--115 (2023; Zbl 07817731) Full Text: arXiv Link
Ohmori, Shousuke; Yamazaki, Yoshihiro On dynamical connection between continuous and tropical discretized dynamical systems in one-dimensional. (English) Zbl 07817729 RIMS Kôkyûroku Bessatsu B94, 55-63 (2023). MSC: 37M15 PDFBibTeX XMLCite \textit{S. Ohmori} and \textit{Y. Yamazaki}, RIMS Kôkyûroku Bessatsu B94, 55--63 (2023; Zbl 07817729) Full Text: Link
Oruç, Ömer; Polat, Murat A composite method based on delta-shaped basis functions and Lie group high-order geometric integrator for solving Kawahara-type equations. (English) Zbl 07815994 Math. Methods Appl. Sci. 46, No. 17, 18150-18165 (2023). MSC: 65M22 65N22 22E70 37M15 PDFBibTeX XMLCite \textit{Ö. Oruç} and \textit{M. Polat}, Math. Methods Appl. Sci. 46, No. 17, 18150--18165 (2023; Zbl 07815994) Full Text: DOI
Zhang, Peijun; Hu, Weipeng; Wang, Zhen; Qiao, Zhijun Multi-symplectic simulation on soliton-collision for nonlinear perturbed Schrödinger equation. (English) Zbl 07792188 J. Nonlinear Math. Phys. 30, No. 4, 1467-1482 (2023). MSC: 37M15 35Q55 65P10 35C08 PDFBibTeX XMLCite \textit{P. Zhang} et al., J. Nonlinear Math. Phys. 30, No. 4, 1467--1482 (2023; Zbl 07792188) Full Text: DOI OA License
Wu, Meng; Gay-Balmaz, François Variational integrators for stochastic Hamiltonian systems on Lie groups. (English) Zbl 07789300 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 212-220 (2023). MSC: 37M15 76M35 65P10 65C30 PDFBibTeX XMLCite \textit{M. Wu} and \textit{F. Gay-Balmaz}, Lect. Notes Comput. Sci. 14072, 212--220 (2023; Zbl 07789300) Full Text: DOI
Dubois, François; Rojas-Quintero, Juan Antonio A variational symplectic scheme based on Simpson’s quadrature. (English) Zbl 07789280 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 22-31 (2023). MSC: 37M15 65P10 65D32 PDFBibTeX XMLCite \textit{F. Dubois} and \textit{J. A. Rojas-Quintero}, Lect. Notes Comput. Sci. 14072, 22--31 (2023; Zbl 07789280) Full Text: DOI
Celledoni, Elena; Murari, Davide; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia Dynamical systems-based neural networks. (English) Zbl 07781031 SIAM J. Sci. Comput. 45, No. 6, A3071-A3094 (2023). Reviewer: Ünver Çiftçi (Tekirdağ) MSC: 65L05 65L06 37M15 68T07 PDFBibTeX XMLCite \textit{E. Celledoni} et al., SIAM J. Sci. Comput. 45, No. 6, A3071--A3094 (2023; Zbl 07781031) Full Text: DOI arXiv
Duruisseaux, Valentin; Leok, Melvin Practical perspectives on symplectic accelerated optimization. (English) Zbl 07775239 Optim. Methods Softw. 38, No. 6, 1230-1268 (2023). MSC: 37M15 37N40 65K10 65P10 70H15 PDFBibTeX XMLCite \textit{V. Duruisseaux} and \textit{M. Leok}, Optim. Methods Softw. 38, No. 6, 1230--1268 (2023; Zbl 07775239) Full Text: DOI arXiv
Karoni, Aikaterini; Leimkuhler, Benedict; Stoltz, Gabriel Friction-adaptive descent: a family of dynamics-based optimization methods. (English) Zbl 07765717 J. Comput. Dyn. 10, No. 4, 450-484 (2023). MSC: 37M05 37M22 37M15 65K10 82M37 PDFBibTeX XMLCite \textit{A. Karoni} et al., J. Comput. Dyn. 10, No. 4, 450--484 (2023; Zbl 07765717) Full Text: DOI arXiv
Miyazaki, Eiji; Kemmochi, Tomoya; Sogabe, Tomohiro; Zhang, Shao-Liang A structure-preserving numerical method for the fourth-order geometric evolution equations for planar curves. (English) Zbl 07759075 Commun. Math. Res. 39, No. 2, 296-330 (2023). MSC: 37M15 65M06 PDFBibTeX XMLCite \textit{E. Miyazaki} et al., Commun. Math. Res. 39, No. 2, 296--330 (2023; Zbl 07759075) Full Text: DOI arXiv
Ueda, Asahi; Iwasaki, Masashi; Nakamura, Yoshimasa Discrete Lotka-Volterra with shift algorithm for computing matrix eigenvalues and singular values. (English) Zbl 07749860 Japan J. Ind. Appl. Math. 40, No. 3, 1501-1518 (2023). MSC: 37N30 37J70 37M15 65P10 65F15 65G50 PDFBibTeX XMLCite \textit{A. Ueda} et al., Japan J. Ind. Appl. Math. 40, No. 3, 1501--1518 (2023; Zbl 07749860) Full Text: DOI
Bartel, Andreas; Günther, Michael; Jacob, Birgit; Reis, Timo Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems. (English) Zbl 1528.37071 Numer. Math. 155, No. 1-2, 1-34 (2023). MSC: 37M15 37N40 65L05 PDFBibTeX XMLCite \textit{A. Bartel} et al., Numer. Math. 155, No. 1--2, 1--34 (2023; Zbl 1528.37071) Full Text: DOI arXiv OA License
Revol, Nathalie Affine iterations and wrapping effect: various approaches. (English) Zbl 07742401 Acta Cybern. 26, No. 1, 129-147 (2023). MSC: 65L05 37M15 PDFBibTeX XMLCite \textit{N. Revol}, Acta Cybern. 26, No. 1, 129--147 (2023; Zbl 07742401) Full Text: DOI arXiv
Uzunca, Murat; Karasözen, Bülent Reduced-order modeling for Ablowitz-Ladik equation. (English) Zbl 07736745 Math. Comput. Simul. 213, 261-273 (2023). MSC: 65M06 65P10 37J05 37M15 76B15 PDFBibTeX XMLCite \textit{M. Uzunca} and \textit{B. Karasözen}, Math. Comput. Simul. 213, 261--273 (2023; Zbl 07736745) Full Text: DOI arXiv
McLachlan, Robert I.; McLaren, David I.; Quispel, G. R. W. Birational maps from polarization and the preservation of measure and integrals. (English) Zbl 1525.37073 J. Phys. A, Math. Theor. 56, No. 36, Article ID 365202, 15 p. (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 39A36 14E05 37M15 PDFBibTeX XMLCite \textit{R. I. McLachlan} et al., J. Phys. A, Math. Theor. 56, No. 36, Article ID 365202, 15 p. (2023; Zbl 1525.37073) Full Text: DOI arXiv
Barbero-Liñán, María; de Diego, David Martín Retraction maps: a seed of geometric integrators. (English) Zbl 1528.37070 Found. Comput. Math. 23, No. 4, 1335-1380 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37M15 37J11 53A04 65P10 70G45 53D22 PDFBibTeX XMLCite \textit{M. Barbero-Liñán} and \textit{D. M. de Diego}, Found. Comput. Math. 23, No. 4, 1335--1380 (2023; Zbl 1528.37070) Full Text: DOI arXiv
Laurent, Adrien; McLachlan, Robert I.; Munthe-Kaas, Hans Z.; Verdier, Olivier The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. (English) Zbl 1527.37090 Forum Math. Sigma 11, Paper No. e69, 39 p. (2023). Reviewer: Kevin Burrage (Brisbane) MSC: 37M15 41A58 05C05 65L06 58A12 PDFBibTeX XMLCite \textit{A. Laurent} et al., Forum Math. Sigma 11, Paper No. e69, 39 p. (2023; Zbl 1527.37090) Full Text: DOI arXiv
Hu, Weipeng; Han, Zhengqi; Bridges, Thomas J.; Qiao, Zhijun Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation. (English) Zbl 1525.37079 Appl. Math. Lett. 145, Article ID 108772, 8 p. (2023). MSC: 37K40 37K06 35Q51 37M15 35C08 PDFBibTeX XMLCite \textit{W. Hu} et al., Appl. Math. Lett. 145, Article ID 108772, 8 p. (2023; Zbl 1525.37079) Full Text: DOI
Hoang, Manh Tuan; Ngo, Thi Kim Quy; Tran, Dinh Hung Dynamically consistent nonstandard numerical schemes for solving some computer virus and malware propagation models. (English) Zbl 1528.65036 Math. Found. Comput. 6, No. 4, 704-727 (2023). MSC: 65L05 37M05 37M15 65L20 68M11 68M25 PDFBibTeX XMLCite \textit{M. T. Hoang} et al., Math. Found. Comput. 6, No. 4, 704--727 (2023; Zbl 1528.65036) Full Text: DOI
Tuan Hoang, Manh An exact finite difference scheme for a three-layer beam model. (English) Zbl 1523.37084 J. Difference Equ. Appl. 29, No. 4, 419-431 (2023). MSC: 37M15 65L05 65L12 PDFBibTeX XMLCite \textit{M. Tuan Hoang}, J. Difference Equ. Appl. 29, No. 4, 419--431 (2023; Zbl 1523.37084) Full Text: DOI
Tapley, Benjamin K. On the preservation of second integrals by Runge-Kutta methods. (English) Zbl 1526.37088 J. Comput. Dyn. 10, No. 2, 304-322 (2023). Reviewer: Mohammad Sajid (Buraydah) MSC: 37M15 37J70 39A12 39A36 65L06 65P10 PDFBibTeX XMLCite \textit{B. K. Tapley}, J. Comput. Dyn. 10, No. 2, 304--322 (2023; Zbl 1526.37088) Full Text: DOI arXiv
Isojima, Shin Indeterminate solutions of the \(p\)-ultradiscrete equation and leading term analysis. (English) Zbl 1522.37086 Japan J. Ind. Appl. Math. 40, No. 2, 1341-1353 (2023). MSC: 37M15 34C15 37J60 PDFBibTeX XMLCite \textit{S. Isojima}, Japan J. Ind. Appl. Math. 40, No. 2, 1341--1353 (2023; Zbl 1522.37086) Full Text: DOI
Abella, Álvaro Rodríguez; Leok, Melvin Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups. (English) Zbl 1523.37070 J. Geom. Mech. 15, No. 1, 319-356 (2023). Reviewer: Maxime Fairon (Glasgow) MSC: 37J51 37J39 37J06 37M15 70H45 70G65 70G75 70H33 PDFBibTeX XMLCite \textit{Á. R. Abella} and \textit{M. Leok}, J. Geom. Mech. 15, No. 1, 319--356 (2023; Zbl 1523.37070) Full Text: DOI arXiv
Maciel, Elias; Ortiz, Inocencio; Schaerer, Christian E. A Herglotz-based integrator for nonholonomic mechanical systems. (English) Zbl 1522.37087 J. Geom. Mech. 15, No. 1, 287-318 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 37M15 37J60 65P10 65D30 70G45 70G75 70H30 PDFBibTeX XMLCite \textit{E. Maciel} et al., J. Geom. Mech. 15, No. 1, 287--318 (2023; Zbl 1522.37087) Full Text: DOI arXiv
Duruisseaux, Valentin; Leok, Melvin Time-adaptive Lagrangian variational integrators for accelerated optimization. (English) Zbl 07701153 J. Geom. Mech. 15, No. 1, 224-255 (2023). MSC: 37M15 37N40 34A26 65P10 65K10 70H15 PDFBibTeX XMLCite \textit{V. Duruisseaux} and \textit{M. Leok}, J. Geom. Mech. 15, No. 1, 224--255 (2023; Zbl 07701153) Full Text: DOI arXiv
Smirnov, Sergey V. Integral preserving discretization of 2D Toda lattices. (English) Zbl 1523.37073 J. Phys. A, Math. Theor. 56, No. 26, Article ID 265204, 18 p. (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37J35 37J37 37M15 39A36 PDFBibTeX XMLCite \textit{S. V. Smirnov}, J. Phys. A, Math. Theor. 56, No. 26, Article ID 265204, 18 p. (2023; Zbl 1523.37073) Full Text: DOI arXiv
Ohsawa, Tomoki Preservation of quadratic invariants by semiexplicit symplectic integrators for nonseparable Hamiltonian systems. (English) Zbl 1521.37094 SIAM J. Numer. Anal. 61, No. 3, 1293-1315 (2023). MSC: 37M15 65L06 65P10 PDFBibTeX XMLCite \textit{T. Ohsawa}, SIAM J. Numer. Anal. 61, No. 3, 1293--1315 (2023; Zbl 1521.37094) Full Text: DOI arXiv
D’Alessandro, Domenico; Zhu, Zhifei A different look at the optimal control of the Brockett integrator. (English) Zbl 1520.53024 Int. J. Control 96, No. 1, 191-200 (2023). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53C17 53C22 37M15 37J60 37J39 PDFBibTeX XMLCite \textit{D. D'Alessandro} and \textit{Z. Zhu}, Int. J. Control 96, No. 1, 191--200 (2023; Zbl 1520.53024) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker Discretization of inherent ODEs and the geometric integration of DAEs with symmetries. (English) Zbl 1517.65066 BIT 63, No. 2, Paper No. 29, 24 p. (2023). MSC: 65L80 65L05 65P10 37J06 37M15 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, BIT 63, No. 2, Paper No. 29, 24 p. (2023; Zbl 1517.65066) Full Text: DOI arXiv
Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. (English) Zbl 07673289 SIAM J. Sci. Comput. 45, No. 2, A289-A311 (2023). MSC: 65P10 34C20 37J25 37M15 37N30 PDFBibTeX XMLCite \textit{P. Buchfink} et al., SIAM J. Sci. Comput. 45, No. 2, A289--A311 (2023; Zbl 07673289) Full Text: DOI arXiv
Kusch, Jonas; Einkemmer, Lukas; Ceruti, Gianluca On the stability of robust dynamical low-rank approximations for hyperbolic problems. (English) Zbl 07673274 SIAM J. Sci. Comput. 45, No. 1, A1-A24 (2023). MSC: 65-XX 35L65 37M15 65C20 65P40 65M12 PDFBibTeX XMLCite \textit{J. Kusch} et al., SIAM J. Sci. Comput. 45, No. 1, A1--A24 (2023; Zbl 07673274) Full Text: DOI arXiv
Dai, Xiaoying; Zhang, Liwei; Zhou, Aihui Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals. (English) Zbl 1524.37076 Numer. Math., Theory Methods Appl. 16, No. 1, 1-25 (2023). MSC: 37M15 37M21 65M12 65N25 81Q05 PDFBibTeX XMLCite \textit{X. Dai} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 1--25 (2023; Zbl 1524.37076) Full Text: DOI arXiv
Burby, J. W.; Hirvijoki, E.; Leok, M. Nearly periodic maps and geometric integration of noncanonical Hamiltonian systems. (English) Zbl 1512.37096 J. Nonlinear Sci. 33, No. 2, Paper No. 38, 43 p. (2023). MSC: 37M15 37J11 53D05 53D22 PDFBibTeX XMLCite \textit{J. W. Burby} et al., J. Nonlinear Sci. 33, No. 2, Paper No. 38, 43 p. (2023; Zbl 1512.37096) Full Text: DOI arXiv
Cosserat, Oscar Symplectic groupoids for Poisson integrators. (English) Zbl 1522.37085 J. Geom. Phys. 186, Article ID 104751, 19 p. (2023). MSC: 37M15 53D17 PDFBibTeX XMLCite \textit{O. Cosserat}, J. Geom. Phys. 186, Article ID 104751, 19 p. (2023; Zbl 1522.37085) Full Text: DOI arXiv
Aliyev, Nicat Subspace method for the estimation of large-scale structured real stability radius. (English) Zbl 1506.65059 Numer. Algorithms 92, No. 2, 1289-1310 (2023). MSC: 65F15 65P99 37M15 PDFBibTeX XMLCite \textit{N. Aliyev}, Numer. Algorithms 92, No. 2, 1289--1310 (2023; Zbl 1506.65059) Full Text: DOI arXiv
Benzi, Michele; Viviani, Milo Solving cubic matrix equations arising in conservative dynamics. (English) Zbl 1511.37100 Vietnam J. Math. 51, No. 1, 113-126 (2023). MSC: 37M15 15A24 65F45 65P10 PDFBibTeX XMLCite \textit{M. Benzi} and \textit{M. Viviani}, Vietnam J. Math. 51, No. 1, 113--126 (2023; Zbl 1511.37100) Full Text: DOI arXiv
Qiu, Zhiping; Qiu, Yu Symplectic central difference scheme for quasi-linear autonomous Birkhoffian systems. (English) Zbl 1511.65143 Appl. Math. Comput. 440, Article ID 127661, 15 p. (2023). MSC: 65P10 37M15 65L06 70H05 PDFBibTeX XMLCite \textit{Z. Qiu} and \textit{Y. Qiu}, Appl. Math. Comput. 440, Article ID 127661, 15 p. (2023; Zbl 1511.65143) Full Text: DOI
Anahory Simoes, Alexandre; Ferraro, Sebastián J.; Marrero, Juan Carlos; Martín de Diego, David A nonholonomic Newmark method. (English) Zbl 1524.37058 J. Comput. Appl. Math. 421, Article ID 114873, 13 p. (2023). MSC: 37J60 37M15 65P10 70F25 PDFBibTeX XMLCite \textit{A. Anahory Simoes} et al., J. Comput. Appl. Math. 421, Article ID 114873, 13 p. (2023; Zbl 1524.37058) Full Text: DOI arXiv
Sato Martín de Almagro, Rodrigo T. High-order integrators for Lagrangian systems on homogeneous spaces via nonholonomic mechanics. (English) Zbl 1503.65150 J. Comput. Appl. Math. 421, Article ID 114837, 15 p. (2023). MSC: 65L06 37M15 65P10 PDFBibTeX XMLCite \textit{R. T. Sato Martín de Almagro}, J. Comput. Appl. Math. 421, Article ID 114837, 15 p. (2023; Zbl 1503.65150) Full Text: DOI arXiv
Jayawardana, Buddhika; Ohsawa, Tomoki Semiexplicit symplectic integrators for non-separable Hamiltonian systems. (English) Zbl 1506.37106 Math. Comput. 92, No. 339, 251-281 (2023). MSC: 37M15 65P10 PDFBibTeX XMLCite \textit{B. Jayawardana} and \textit{T. Ohsawa}, Math. Comput. 92, No. 339, 251--281 (2023; Zbl 1506.37106) Full Text: DOI arXiv
Herzog, Roland; Loayza-Romero, Estefanía A manifold of planar triangular meshes with complete Riemannian metric. (English) Zbl 1508.53103 Math. Comput. 92, No. 339, 1-50 (2023). MSC: 53Z50 57Z25 37M15 57R05 PDFBibTeX XMLCite \textit{R. Herzog} and \textit{E. Loayza-Romero}, Math. Comput. 92, No. 339, 1--50 (2023; Zbl 1508.53103) Full Text: DOI arXiv
Brantner, Benedikt; de Romemont, Guillaume; Kraus, Michael; Li, Zeyuan Structure-Preserving Transformers for Learning Parametrized Hamiltonian Systems. arXiv:2312.11166 Preprint, arXiv:2312.11166 [math.NA] (2023). MSC: 68T07 65D30 37M15 65P10 BibTeX Cite \textit{B. Brantner} et al., ``Structure-Preserving Transformers for Learning Parametrized Hamiltonian Systems'', Preprint, arXiv:2312.11166 [math.NA] (2023) Full Text: arXiv OA License
Aristoff, David; Copperman, Jeremy; Mankovich, Nathan; Davies, Alexander Featurizing Koopman Mode Decomposition. arXiv:2312.09146 Preprint, arXiv:2312.09146 [math.DS] (2023). MSC: 37M22 37M05 37M10 37M15 37N25 BibTeX Cite \textit{D. Aristoff} et al., ``Featurizing Koopman Mode Decomposition'', Preprint, arXiv:2312.09146 [math.DS] (2023) Full Text: arXiv OA License
Modin, Klas; Roop, Michael Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere. arXiv:2311.16045 Preprint, arXiv:2311.16045 [math.NA] (2023). MSC: 37M15 65P10 53D20 76W05 BibTeX Cite \textit{K. Modin} and \textit{M. Roop}, ``Spatio-temporal Lie-Poisson discretization for incompressible magnetohydrodynamics on the sphere'', Preprint, arXiv:2311.16045 [math.NA] (2023) Full Text: arXiv OA License
Tran, Khoa; Leok, Melvin Lie Group Variational Collision Integrators for a Class of Hybrid Systems. arXiv:2310.15356 Preprint, arXiv:2310.15356 [math.NA] (2023). MSC: 37M15 65P10 70F35 70G65 34A38 49J52 BibTeX Cite \textit{K. Tran} and \textit{M. Leok}, ``Lie Group Variational Collision Integrators for a Class of Hybrid Systems'', Preprint, arXiv:2310.15356 [math.NA] (2023) Full Text: arXiv OA License
Stern, Ari; Suri, Sanah Functional equivariance and modified vector fields. arXiv:2307.01822 Preprint, arXiv:2307.01822 [math.NA] (2023). MSC: 37M15 BibTeX Cite \textit{A. Stern} and \textit{S. Suri}, ``Functional equivariance and modified vector fields'', Preprint, arXiv:2307.01822 [math.NA] (2023) Full Text: arXiv OA License
Wanner, Mathias; Mezić, Igor On Higher Order Drift and Diffusion Estimates for Stochastic SINDy. arXiv:2306.17814 Preprint, arXiv:2306.17814 [math.NA] (2023). MSC: 37H99 37M15 60H35 65C40 93E12 BibTeX Cite \textit{M. Wanner} and \textit{I. Mezić}, ``On Higher Order Drift and Diffusion Estimates for Stochastic SINDy'', Preprint, arXiv:2306.17814 [math.NA] (2023) Full Text: arXiv OA License
Xia, Li-Li; Wu, Meng-Meng; Bai, Long Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems. (English) Zbl 1507.37115 J. Math. Phys. 63, No. 10, Article ID 103503, 15 p. (2022). MSC: 37M15 70H33 70F25 37J60 PDFBibTeX XMLCite \textit{L.-L. Xia} et al., J. Math. Phys. 63, No. 10, Article ID 103503, 15 p. (2022; Zbl 1507.37115) Full Text: DOI
Daquin, Jérôme; Pédenon-Orlanducci, Rémi; Agaoglou, Makrina; García-Sánchez, Guillermo; Mancho, Ana Maria Global dynamics visualisation from Lagrangian descriptors. Applications to discrete and continuous systems. (English) Zbl 1511.37103 Physica D 442, Article ID 133520, 14 p. (2022). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37M25 37M15 65P10 70K43 70H08 PDFBibTeX XMLCite \textit{J. Daquin} et al., Physica D 442, Article ID 133520, 14 p. (2022; Zbl 1511.37103) Full Text: DOI arXiv
Boutayeb, Mohamed; Bouaouda, Abir On the state estimation of non-linear discrete-time models: application to unmanned aerial vehicles. (English) Zbl 1508.93148 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., 303-310 (2022). Reviewer: Boris Ivanovich Konosevich (Donetsk) MSC: 93C15 37M15 34H05 93C55 93C10 PDFBibTeX XMLCite \textit{M. Boutayeb} and \textit{A. Bouaouda}, 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. 303--310 (2022; Zbl 1508.93148) Full Text: DOI
Glazatov, Vladimir Andreevich; Sakbaev, Vsevolod Zhanovich Measures on Hilbert space that are invariant with respect to Hamiltonian flows. (Russian. English summary) Zbl 1524.37078 Ufim. Mat. Zh. 14, No. 2, 3-22 (2022); translation in Ufa Math. J. 14, No. 2, 3-21 (2022). MSC: 37M25 37M15 37J35 37J06 PDFBibTeX XMLCite \textit{V. A. Glazatov} and \textit{V. Z. Sakbaev}, Ufim. Mat. Zh. 14, No. 2, 3--22 (2022; Zbl 1524.37078); translation in Ufa Math. J. 14, No. 2, 3--21 (2022) Full Text: MNR
Chin, Siu A. Modern light on ancient feud: Robert Hooke and Newton’s graphical method. (English) Zbl 1515.01008 Hist. Math. 60, 1-14 (2022). MSC: 01A45 37M15 65P10 70F15 PDFBibTeX XMLCite \textit{S. A. Chin}, Hist. Math. 60, 1--14 (2022; Zbl 1515.01008) Full Text: DOI arXiv
Eidnes, Sølve Order theory for discrete gradient methods. (English) Zbl 1507.65288 BIT 62, No. 4, 1207-1255 (2022). MSC: 65P10 37M15 65L05 68T07 PDFBibTeX XMLCite \textit{S. Eidnes}, BIT 62, No. 4, 1207--1255 (2022; Zbl 1507.65288) Full Text: DOI arXiv
Zhang, Hongxing; Zhou, Naying; Liu, Wenfang; Wu, Xin Equivalence between two charged black holes in dynamics of orbits outside the event horizons. (English) Zbl 1515.83099 Gen. Relativ. Gravitation 54, No. 9, Paper No. 110, 22 p. (2022). MSC: 83C47 70F05 78A35 83D05 70M20 37M15 65P20 83C05 78A60 78A45 PDFBibTeX XMLCite \textit{H. Zhang} et al., Gen. Relativ. Gravitation 54, No. 9, Paper No. 110, 22 p. (2022; Zbl 1515.83099) Full Text: DOI arXiv
Katsanikas, Matthaios; Hillebrand, Malcolm; Skokos, Charalampos; Wiggins, Stephen The influence of asymmetry on the dynamics associated with a Caldera potential energy surface. (English) Zbl 1498.37128 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2230030, 11 p. (2022). MSC: 37N15 37C25 37M15 PDFBibTeX XMLCite \textit{M. Katsanikas} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 12, Article ID 2230030, 11 p. (2022; Zbl 1498.37128) Full Text: DOI
Sasa, Narimasa Poincaré integral invariant and conserved quantity of Toda lattice systems. (English) Zbl 1507.37114 JSIAM Lett. 14, 88-91 (2022). MSC: 37M15 37J35 37K60 65P10 PDFBibTeX XMLCite \textit{N. Sasa}, JSIAM Lett. 14, 88--91 (2022; Zbl 1507.37114) Full Text: DOI
Terakawa, Shunpei; Yaguchi, Takaharu Symplecticity of coupled Hamiltonian systems. (English) Zbl 1507.37108 JSIAM Lett. 14, 37-40 (2022). MSC: 37M05 37M15 37J06 PDFBibTeX XMLCite \textit{S. Terakawa} and \textit{T. Yaguchi}, JSIAM Lett. 14, 37--40 (2022; Zbl 1507.37108) Full Text: DOI arXiv
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.; Tapley, Benjamin K. Detecting and determining preserved measures and integrals of birational maps. (English) Zbl 1505.37075 J. Comput. Dyn. 9, No. 4, 553-574 (2022). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 37J35 37M15 37M21 39A36 14E05 PDFBibTeX XMLCite \textit{E. Celledoni} et al., J. Comput. Dyn. 9, No. 4, 553--574 (2022; Zbl 1505.37075) Full Text: DOI arXiv
Shen, Xuefeng; Tran, Khoa; Leok, Melvin High-order symplectic Lie group methods on \(SO(n)\) using the polar decomposition. (English) Zbl 1511.37101 J. Comput. Dyn. 9, No. 4, 529-551 (2022). Reviewer: Mohammad Sajid (Buraydah) MSC: 37M15 65P10 65J05 65L06 65J10 70H25 47J26 58J20 PDFBibTeX XMLCite \textit{X. Shen} et al., J. Comput. Dyn. 9, No. 4, 529--551 (2022; Zbl 1511.37101) Full Text: DOI arXiv
Zhang, Lei; Zhang, Pingwen; Zheng, Xiangcheng Error estimates for Euler discretization of high-index saddle dynamics. (English) Zbl 1507.37110 SIAM J. Numer. Anal. 60, No. 5, 2925-2944 (2022). MSC: 37M05 37M15 37N30 65P40 65L06 65L20 PDFBibTeX XMLCite \textit{L. Zhang} et al., SIAM J. Numer. Anal. 60, No. 5, 2925--2944 (2022; Zbl 1507.37110) Full Text: DOI arXiv
Jayawardana, Buddhika; Morrison, Philip J.; Ohsawa, Tomoki Clebsch canonization of Lie-Poisson systems. (English) Zbl 07604344 J. Geom. Mech. 14, No. 4, 635-658 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 37J39 37J37 37M15 53D20 70G45 PDFBibTeX XMLCite \textit{B. Jayawardana} et al., J. Geom. Mech. 14, No. 4, 635--658 (2022; Zbl 07604344) Full Text: DOI arXiv
Demoures, François; Gay-Balmaz, François Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids. (English) Zbl 1506.37105 J. Nonlinear Sci. 32, No. 6, Paper No. 94, 42 p. (2022). MSC: 37M15 37N15 37N10 37K58 65P10 74F10 PDFBibTeX XMLCite \textit{F. Demoures} and \textit{F. Gay-Balmaz}, J. Nonlinear Sci. 32, No. 6, Paper No. 94, 42 p. (2022; Zbl 1506.37105) Full Text: DOI arXiv
McLachlan, Robert I.; Offen, Christian Backward error analysis for variational discretisations of PDEs. (English) Zbl 1495.65159 J. Geom. Mech. 14, No. 3, 447-471 (2022). MSC: 65M15 35B06 35C07 37M15 PDFBibTeX XMLCite \textit{R. I. McLachlan} and \textit{C. Offen}, J. Geom. Mech. 14, No. 3, 447--471 (2022; Zbl 1495.65159) Full Text: DOI arXiv
Wiggins, Stephen; Garcia-Garrído, Víctor J. Painting the phase portrait of a dynamical system with the computational tool of Lagrangian descriptors. (English) Zbl 1504.37003 Notices Am. Math. Soc. 69, No. 6, 936-949 (2022). MSC: 37-02 37M15 37D45 65P20 70K55 PDFBibTeX XMLCite \textit{S. Wiggins} and \textit{V. J. Garcia-Garrído}, Notices Am. Math. Soc. 69, No. 6, 936--949 (2022; Zbl 1504.37003) Full Text: DOI
Jiang, Canghua; Jin, Cheng; Yu, Ming; Xu, Zongqi Direct optimal control for time-delay systems via a lifted multiple shooting algorithm. (English) Zbl 1513.49074 J. Ind. Manag. Optim. 18, No. 5, 3771-3786 (2022). MSC: 49M37 93C23 37M15 PDFBibTeX XMLCite \textit{C. Jiang} et al., J. Ind. Manag. Optim. 18, No. 5, 3771--3786 (2022; Zbl 1513.49074) Full Text: DOI
Bazavov, Alexei Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. (English) Zbl 1502.65042 BIT 62, No. 3, 745-771 (2022). MSC: 65L06 65L05 65P10 34C40 37M15 PDFBibTeX XMLCite \textit{A. Bazavov}, BIT 62, No. 3, 745--771 (2022; Zbl 1502.65042) Full Text: DOI arXiv
Blanes, S.; Casas, F.; Chartier, P.; Escorihuela-Tomàs, A. On symmetric-conjugate composition methods in the numerical integration of differential equations. (English) Zbl 1520.65049 Math. Comput. 91, No. 336, 1739-1761 (2022). MSC: 65L05 65P10 37M15 PDFBibTeX XMLCite \textit{S. Blanes} et al., Math. Comput. 91, No. 336, 1739--1761 (2022; Zbl 1520.65049) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{G. Sun} et al., Numer. Math., Theory Methods Appl. 15, No. 2, 304--335 (2022; Zbl 1499.65304) Full Text: DOI
García-Garrido, Víctor J.; Wiggins, Stephen Lagrangian descriptors and the action integral of classical mechanics. (English) Zbl 1498.37125 Physica D 434, Article ID 133206, 11 p. (2022). MSC: 37M15 37J51 70G75 PDFBibTeX XMLCite \textit{V. J. García-Garrido} and \textit{S. Wiggins}, Physica D 434, Article ID 133206, 11 p. (2022; Zbl 1498.37125) Full Text: DOI arXiv
Zanna, Antonella Symplectic P-stable additive Runge-Kutta methods. (English) Zbl 1492.65351 J. Comput. Dyn. 9, No. 2, 299-328 (2022). MSC: 65P10 65L06 37M15 65L07 PDFBibTeX XMLCite \textit{A. Zanna}, J. Comput. Dyn. 9, No. 2, 299--328 (2022; Zbl 1492.65351) Full Text: DOI arXiv
Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Applying splitting methods with complex coefficients to the numerical integration of unitary problems. (English) Zbl 1492.65189 J. Comput. Dyn. 9, No. 2, 85-101 (2022). MSC: 65L05 37M15 65P10 65M22 PDFBibTeX XMLCite \textit{S. Blanes} et al., J. Comput. Dyn. 9, No. 2, 85--101 (2022; Zbl 1492.65189) Full Text: DOI arXiv
Duruisseaux, Valentin; Leok, Melvin Accelerated optimization on Riemannian manifolds via discrete constrained variational integrators. (English) Zbl 1493.90225 J. Nonlinear Sci. 32, No. 4, Paper No. 42, 34 p. (2022). Reviewer: K. C. Sivakumar (Chennai) MSC: 90C48 37M15 37N40 65K10 65P10 70H45 PDFBibTeX XMLCite \textit{V. Duruisseaux} and \textit{M. Leok}, J. Nonlinear Sci. 32, No. 4, Paper No. 42, 34 p. (2022; Zbl 1493.90225) Full Text: DOI arXiv
Hong, Jialin; Ji, Lihai; Wang, Xu; Zhang, Jingjing Positivity-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model. (English) Zbl 1497.37101 BIT 62, No. 2, 493-520 (2022). MSC: 37M15 65P10 65L06 65C30 PDFBibTeX XMLCite \textit{J. Hong} et al., BIT 62, No. 2, 493--520 (2022; Zbl 1497.37101) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. Cresson} et al., J. Geom. Mech. 14, No. 1, 57--89 (2022; Zbl 1487.49027) Full Text: DOI
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 1493.37095 Acta Math. Appl. Sin., Engl. Ser. 38, No. 1, 68-77 (2022). MSC: 37M15 65L03 34K37 34K20 26A33 PDFBibTeX XMLCite \textit{S. Bouguessa} et al., Acta Math. Appl. Sin., Engl. Ser. 38, No. 1, 68--77 (2022; Zbl 1493.37095) Full Text: DOI
Cai, Jiaxiang; Shen, Bangyu Linearly implicit local energy-preserving algorithm for a class of multi-symplectic Hamiltonian PDEs. (English) Zbl 1499.37123 Comput. Appl. Math. 41, No. 1, Paper No. 33, 19 p. (2022). MSC: 37M15 65M06 65P10 PDFBibTeX XMLCite \textit{J. Cai} and \textit{B. Shen}, Comput. Appl. Math. 41, No. 1, Paper No. 33, 19 p. (2022; Zbl 1499.37123) Full Text: DOI
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. (English) Zbl 1492.37073 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617-650 (2022). MSC: 37M15 37N30 65P10 78M34 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617--650 (2022; Zbl 1492.37073) Full Text: DOI arXiv
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 1510.76195 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 76U05 37M15 37N10 65F22 65M06 68T05 76B15 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 1510.76195) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{C. Jiang} et al., Appl. Numer. Math. 174, 89--111 (2022; Zbl 1487.65166) Full Text: DOI arXiv
Cincotta, Pablo M.; Giordano, Claudia M.; Shevchenko, Ivan I. Revisiting the relation between the Lyapunov time and the instability time. (English) Zbl 1491.37070 Physica D 430, Article ID 133101, 12 p. (2022). MSC: 37M15 37J11 65P40 PDFBibTeX XMLCite \textit{P. M. Cincotta} et al., Physica D 430, Article ID 133101, 12 p. (2022; Zbl 1491.37070) Full Text: DOI
Abell, Dan T.; Dragt, Alex J. Structure-preserving techniques in accelerator physics. (English) Zbl 1497.37100 Int. J. Comput. Math. 99, No. 1, 89-112 (2022). Reviewer: Luigi Brugnano (Firenze) MSC: 37M15 37M05 37J11 65P10 70H15 PDFBibTeX XMLCite \textit{D. T. Abell} and \textit{A. J. Dragt}, Int. J. Comput. Math. 99, No. 1, 89--112 (2022; Zbl 1497.37100) Full Text: DOI arXiv
Ha, Seung-Yeal; Shim, Woojoo; Yoon, Jaeyoung An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors. (English) Zbl 1491.65063 Commun. Math. Sci. 20, No. 2, 495-521 (2022). MSC: 65L05 34C15 34E10 37M15 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Commun. Math. Sci. 20, No. 2, 495--521 (2022; Zbl 1491.65063) Full Text: DOI
Chandramouli, Sathyanarayanan; Farhat, Aseel; H. Musslimani, Ziad Time-dependent Duhamel renormalization method with multiple conservation and dissipation laws. (English) Zbl 1490.37098 Nonlinearity 35, No. 3, 1286-1310 (2022). MSC: 37M05 37M15 65M22 65M25 65M70 37K40 35Q51 PDFBibTeX XMLCite \textit{S. Chandramouli} et al., Nonlinearity 35, No. 3, 1286--1310 (2022; Zbl 1490.37098) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Engel} et al., J. Nonlinear Sci. 32, No. 2, Paper No. 19, 41 p. (2022; Zbl 1484.39016) Full Text: DOI arXiv
Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael KAM quasi-periodic solutions for the dissipative standard map. (English) Zbl 1494.37043 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106111, 29 p. (2022). MSC: 37J40 34C25 34D35 37M15 70K43 PDFBibTeX XMLCite \textit{R. C. Calleja} et al., Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106111, 29 p. (2022; Zbl 1494.37043) Full Text: DOI
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 1494.37053 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106089, 17 p. (2022). MSC: 37M20 37M15 37J20 PDFBibTeX XMLCite \textit{M. Katsanikas} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106089, 17 p. (2022; Zbl 1494.37053) Full Text: DOI arXiv
Casas, F.; Escorihuela-Tomàs, A. High order integrators obtained by linear combinations of symmetric-conjugate compositions. (English) Zbl 1510.65313 Appl. Math. Comput. 414, Article ID 126700, 12 p. (2022). MSC: 65P10 65L05 37M15 PDFBibTeX XMLCite \textit{F. Casas} and \textit{A. Escorihuela-Tomàs}, Appl. Math. Comput. 414, Article ID 126700, 12 p. (2022; Zbl 1510.65313) Full Text: DOI arXiv Link
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 PDFBibTeX XMLCite \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