Eidnes, Sølve; Lye, Kjetil Olsen Pseudo-Hamiltonian neural networks for learning partial differential equations. (English) Zbl 07811328 J. Comput. Phys. 500, Article ID 112738, 25 p. (2024). MSC: 35Qxx 65Mxx 68Txx PDFBibTeX XMLCite \textit{S. Eidnes} and \textit{K. O. Lye}, J. Comput. Phys. 500, Article ID 112738, 25 p. (2024; Zbl 07811328) Full Text: DOI arXiv
Bloch, Anthony M.; Karp, Steven N. Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties. (English) Zbl 1526.17011 Commun. Math. Phys. 398, No. 3, 1213-1289 (2023). MSC: 17B08 14M15 15B48 17B45 20G20 37B35 81T60 PDFBibTeX XMLCite \textit{A. M. Bloch} and \textit{S. N. Karp}, Commun. Math. Phys. 398, No. 3, 1213--1289 (2023; Zbl 1526.17011) Full Text: DOI arXiv
Esen, Ogul; Özcan, Gökhan; Sütlü, Serkan On extensions, Lie-Poisson systems, and dissipation. (English) Zbl 1495.37050 J. Lie Theory 32, No. 2, 327-382 (2022). Reviewer: Nenad Manojlović (Faro) MSC: 37J37 37J06 53D17 37K30 PDFBibTeX XMLCite \textit{O. Esen} et al., J. Lie Theory 32, No. 2, 327--382 (2022; Zbl 1495.37050) Full Text: arXiv Link
Martín de Diego, D.; Sato Martín de Almagro, R. T. Variational order for forced Lagrangian systems. II: Euler-Poincaré equations with forcing. (English) Zbl 1442.65443 Nonlinearity 33, No. 8, 3709-3738 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65P10 37M15 65L06 70H03 70H05 70G75 49S05 PDFBibTeX XMLCite \textit{D. Martín de Diego} and \textit{R. T. Sato Martín de Almagro}, Nonlinearity 33, No. 8, 3709--3738 (2020; Zbl 1442.65443) Full Text: DOI arXiv
Kantner, Markus; Mielke, Alexander; Mittnenzweig, Markus; Rotundo, Nella Mathematical modeling of semiconductors: from quantum mechanics to devices. (English) Zbl 1447.35324 Hintermüller, Michael (ed.) et al., Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Cham: Springer. CIM Ser. Math. Sci, 269-293 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q81 82D37 78A35 78A30 82C35 82C10 35Q82 PDFBibTeX XMLCite \textit{M. Kantner} et al., in: Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO'17, Lisbon, Portugal, December 6--8, 2017. Cham: Springer. 269--293 (2019; Zbl 1447.35324) Full Text: DOI
Lasser, Caroline; Schubert, Roman; Troppmann, Stephanie Non-Hermitian propagation of Hagedorn wavepackets. (English) Zbl 1456.81184 J. Math. Phys. 59, No. 8, 082102, 35 p. (2018). MSC: 81Q12 81Q05 81R30 03D80 PDFBibTeX XMLCite \textit{C. Lasser} et al., J. Math. Phys. 59, No. 8, 082102, 35 p. (2018; Zbl 1456.81184) Full Text: DOI arXiv
Esen, Oğul; Choudhury, Anindya Ghose; Guha, Partha On integrals, Hamiltonian and metriplectic formulations of polynomial systems in 3D. (English) Zbl 1474.37057 Theor. Appl. Mech. (Belgrade) 44, No. 1, 15-34 (2017). MSC: 37J06 37J35 70G45 PDFBibTeX XMLCite \textit{O. Esen} et al., Theor. Appl. Mech. (Belgrade) 44, No. 1, 15--34 (2017; Zbl 1474.37057) Full Text: DOI arXiv
Guha, Partha; Ghose Choudhury, A. Chiellini integrability condition, planar isochronous systems and Hamiltonian structures of Liénard equation. (English) Zbl 1377.34002 Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2465-2478 (2017). Reviewer: M. A. M. Alwash (Culver City) MSC: 34A05 34C14 34C20 34C05 34A34 PDFBibTeX XMLCite \textit{P. Guha} and \textit{A. Ghose Choudhury}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 6, 2465--2478 (2017; Zbl 1377.34002) Full Text: DOI arXiv