Found 236 Documents (Results 1–100)
The Lie derivative and Noether’s theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators. (English) Zbl 07807504
Symplectic numerical integration for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus. (English) Zbl 1540.65028
Zeitlin’s model for axisymmetric 3-D Euler equations. arXiv:2408.11204
Preprint, arXiv:2408.11204 [math.DG] (2024).
Two-dimensional fluids via matrix hydrodynamics. arXiv:2405.14282
Preprint, arXiv:2405.14282 [math.AP] (2024).
Billiards of variable configuration and billiards with slipping in Hamiltonian geometry and topology. (English) Zbl 07853833
On geodesically reversible Finsler manifolds. (English) Zbl 07794727
Reviewer: V. K. Chaubey (Gorakhpur)
A symplectic finite element method based on Galerkin discretization for solving linear systems. (English) Zbl 1533.74082
On some properties of semi-Hamiltonian systems arising in the problem of integrable geodesic flows on the two-dimensional torus. (English. Russian original) Zbl 1528.37048
Sib. Math. J. 64, No. 5, 1063-1075 (2023); translation from Sib. Mat. Zh. 64, No. 5, 881-894 (2023).
Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions. (English. Russian original) Zbl 1530.53004
Russ. Math. Surv. 78, No. 1, 65-163 (2023); translation from Usp. Mat. Nauk 78, No. 1, 67-166 (2023).
Reviewer: Margarida Camarinha (Coimbra)
Euler characteristic and cohomology of \(\mathrm{Sp}_4 (\mathbb{Z})\) with nontrivial coefficients. (English) Zbl 1540.11055
Globally time-reversible fluid simulations with smoothed particle hydrodynamics. (English) Zbl 1522.76061
Higher elastica: geodesics in jet space. (English) Zbl 1508.53038
Reviewer: Nathaniel Eldredge (Greeley)
Geometric integration by parts and Lepage equivalents. (English) Zbl 1500.53085
Reviewer: Fabio Di Cosmo (Madrid)
Variational integrators for forced Lagrangian systems based on the local path fitting technique. (English) Zbl 1510.70041
Tulczyjew’s triplet for Lie groups. III: Higher order dynamics and reductions for iterated bundles. (English) Zbl 07804666
Integrability of point-vortex dynamics via symplectic reduction: a survey. (English) Zbl 1482.37056
Reviewer: William J. Satzer Jr. (St. Paul)
Newton’s second law in field theory. (English) Zbl 1529.70031
Reviewer: Mohammad Khorrami (Tehrān)
Sharp error estimates on a stochastic structure-preserving scheme in computing effective diffusivity of 3D chaotic flows. (English) Zbl 1496.65192
On the Hamel coefficients and the Boltzmann-Hamel equations for the rigid body. (English) Zbl 1466.37051
New integrable two-centre problem on sphere in Dirac magnetic field. (English) Zbl 1460.37055
Reviewer: William J. Satzer Jr. (St. Paul)
Fixed point implementation of a variational time integrator approach for smoothed particle hydrodynamics simulation of fluids. (English) Zbl 1461.76361
Lie-Poisson methods for isospectral flows. (English) Zbl 1450.37073
Reviewer: Bülent Karasözen (Ankara)
Variational order for forced Lagrangian systems. II: Euler-Poincaré equations with forcing. (English) Zbl 1442.65443
Reviewer: Bülent Karasözen (Ankara)
Symplectic integration of PDEs using Clebsch variables. (English) Zbl 1435.37102
Reviewer: Petr Sváček (Praha)
Towards a geometric variational discretization of compressible fluids: the rotating shallow water equations. (English) Zbl 1421.76189
Orbits of minimal action. Towards theory and numerics of large deviations. (Orbits minimaler Wirkung. Zur Theorie und Numerik großer Abweichungen.) (German) Zbl 1416.37004
BestMasters. Wiesbaden: Springer Spektrum; Bielefeld: Univ Bielefeld (Master Thesis) (ISBN 978-3-658-25816-0/pbk; 978-3-658-25817-7/ebook). viii, 120 p. (2019).
Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”. (English) Zbl 1417.81124
Multi-symplectic Euler-box scheme for a high-order wave equation of KdV type. (Chinese. English summary) Zbl 1413.65460
MSC:
65P10
Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows. (English) Zbl 1431.37068
Reviewer: Božidar Jovanović (Beograd)
Noise and dissipation on coadjoint orbits. (English) Zbl 1384.37063
Reviewer: Cristian Lăzureanu (Timisoara)
Discretization of continuous dynamical systems using UPPAAL. (English) Zbl 1498.68142
Katoen, Joost-Pieter (ed.) et al., ModelEd, testEd, trustEd. Essays dedicated to Ed Brinksma on the occasion of his 60th birthday. Cham: Springer. Lect. Notes Comput. Sci. 10500, 297-315 (2017).
Hamiltonian discontinuous Galerkin FEM for linear, stratified (in)compressible Euler equations: internal gravity waves. (English) Zbl 1380.65422
Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints. (English) Zbl 1378.65186
The dimension of the Hilbert space of geometric quantization of vortices on a Riemann surface. (English) Zbl 1375.81152
Finite difference computing with PDEs. A modern software approach. (English) Zbl 1377.65105
Texts in Computational Science and Engineering 16. Cham: Springer Open (ISBN 978-3-319-55455-6/hbk; 978-3-319-55456-3/ebook). xxiii, 507 p., open access (2017).
Reviewer: Rolf Dieter Grigorieff (Berlin)
MSC:
65M06
65-01
65L12
65D05
65N06
65N12
65H05
65H10
65Y05
35-04
76S05
76A20
60G50
65P10
35K05
35L05
65Y15
Finite element and discontinuous Galerkin methods for transient wave equations. (English) Zbl 1360.65233
Scientific Computation. Dordrecht: Springer (ISBN 978-94-017-7759-9/hbk; 978-94-017-7761-2/ebook). xvii, 381 p. (2017).
Reviewer: Rolf Dieter Grigorieff (Berlin)
The topology of the analog of Kovalevskaya integrability case on the Lie algebra \(\mathrm{so}(4)\) under zero area integral. (English. Russian original) Zbl 1351.37227
Mosc. Univ. Math. Bull. 71, No. 3, 119-123 (2016); translation from Vestn. Mosk. Univ., Ser. I 71, No. 3, 46-60 (2016).
Non-commuting variations in mathematics and physics. A survey. (English) Zbl 1345.49001
Interaction of Mechanics and Mathematics. Cham: Springer (ISBN 978-3-319-28321-0/pbk; 978-3-319-28323-4/ebook). xiv, 235 p. (2016).
A concise introduction to geometric numerical integration. (English) Zbl 1343.65146
Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6342-8/hbk; 978-1-4822-6344-2/ebook). xiv, 218 p. (2016).
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Iterative implicit methods for solving nonlinear dynamical systems: application of the Levitron. (English) Zbl 1359.65300
Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 193-200 (2015).
MSC:
65P10
Iterated index and the mean Euler characteristic. (English) Zbl 1325.53113
Reviewer: Mircea Crâşmăreanu (Iaşi)
On the positivity of Poisson integrators for the Lotka-Volterra equations. (English) Zbl 1321.65184
Reviewer: Drahoslava Janovská (Praha)
An error estimate for symplectic Euler approximation of optimal control problems. (English) Zbl 1316.49035
An iterative starting method to control parasitism for the Leapfrog method. (English) Zbl 1302.65270
A multi-symplectic numerical integrator for the two-component Camassa-Holm Equation. (English) Zbl 1420.35289
A semi-explicit multi-symplectic splitting scheme for a 3-coupled nonlinear Schrödinger equation. (English) Zbl 1344.65095
A compact splitting multisymplectic scheme for Dirac equation. (Chinese. English summary) Zbl 1340.65308
A semi-explicit multi-symplectic pseudo-spectral scheme for the generalized nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1324.65129
A predictor-corrector symplectic time-subdomain algorithm for nonlinear dynamic equations. (Chinese. English summary) Zbl 1324.74026
MSC:
74H15
74S30
Symmetries of Hamiltonian systems on symplectic and Poisson manifolds. (English) Zbl 1304.70020
Ganghoffer, Jean-François (ed.) et al., Similarity and symmetry methods. Applications in elasticity and mechanics of materials. Lecture notes given at the EUROMECH workshop ‘Similarity, symmetry and group theoretical methods in mechanics, Varna, Bulgaria, June 6–9, 2013. Cham: Springer (ISBN 978-3-319-08295-0/hbk; 978-3-319-08296-7/ebook). Lecture Notes in Applied and Computational Mechanics 73, 185-269 (2014).
Reviewer: Boris V. Loginov (Ul’yanovsk)
Toric partial density functions and stability of toric varieties. (English) Zbl 1316.32004
Reviewer: Harold P. Boas (College Station)
Simi-explicit multi-symplectic pseudo-spectral scheme for the nonlinear fourth-order Schrödinger equation. (Chinese. English summary) Zbl 1293.65133
Variational formulation of commuting Hamiltonian flows: multi-time Lagrangian 1-forms. (English) Zbl 1330.37057
Variational problems of some second order Lagrangians given by Pfaff forms. (English) Zbl 1357.70019
Canonical transformations and Hamiltonian evolutionary systems. (English) Zbl 1284.37049
Reviewer: Dimitar A. Kolev (Sofia)
On Pfaff systems. (English) Zbl 1288.70010
Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2011), Bucharest, Romania, October 6–9, 2011. Bucharest: Geometry Balkan Press. BSG Proceedings 19, 152-162 (2012).
Prolongation-collocation variational integrators. (English) Zbl 1255.65227
Reviewer: Manuel Calvo (Zaragoza)
Critical point theory for Lagrangian systems. (English) Zbl 1246.37003
Progress in Mathematics 293. Basel: Birkhäuser (ISBN 978-3-0348-0162-1/hbk; 978-3-0348-0163-8/ebook). xii, 187 p. (2012).
Reviewer: Dorin Andrica (Riyadh)
A multi-symplectic Euler-Box method for the saturated nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1249.65275
Comparison of second-order mixed symplectic integrator between semi-implicit Euler method and implicit midpoint rule. (Chinese. English summary) Zbl 1249.65276
Geometric mechanics. Part II: Rotating, translating and rolling. 2nd ed. (English) Zbl 1381.70001
London: Imperial College Press (ISBN 978-1-84816-777-3/hbk; 978-1-84816-778-0/pbk; 978-1-84816-779-7/ebook). 400 p. (2011).
Symplectic and multi-symplectic schemes for the two-dimensional nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1240.65369
A multisymplectic explicit scheme for the modified regularized long-wave equation. (English) Zbl 1188.65113
Symplectic Euler method for nonlinear high order Schrödinger equation with a trapped term. (English) Zbl 1262.65100
A new explicit multi-symplectic scheme for RLW equation. (Chinese. English summary) Zbl 1212.65319
Applications of the multi-symplectic Euler-box scheme. (English) Zbl 1182.65193
Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 908-911 (2009).
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