Found 255 Documents (Results 1–100)
A splitting nearly-analytic symplectic partitioned Runge-Kutta method for solving 2D elastic wave equations. (English) Zbl 07873502
High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system. (English) Zbl 1535.65303
Leapfrog methods for relativistic charged-particle dynamics. (English) Zbl 1533.65249
Reviewer: Steven B. Damelin (Ann Arbor)
High order symmetric algorithms for nonlinear dynamical systems with non-holonomic constraints. (English) Zbl 1540.65530
A Herglotz-based integrator for nonholonomic mechanical systems. (English) Zbl 1522.37087
Reviewer: Bülent Karasözen (Ankara)
Globally time-reversible fluid simulations with smoothed particle hydrodynamics. (English) Zbl 1522.76061
Preservation of quadratic invariants by semiexplicit symplectic integrators for nonseparable Hamiltonian systems. (English) Zbl 1521.37094
On the stability of robust dynamical low-rank approximations for hyperbolic problems. (English) Zbl 07673274
NySALT: Nyström-type inference-based schemes adaptive to large time-stepping. (English) Zbl 07652832
Two high-order energy-preserving and symmetric Gauss collocation integrators for solving the hyperbolic Hamiltonian systems. (English) Zbl 1540.65529
Poincaré integral invariant and conserved quantity of Toda lattice systems. (English) Zbl 1507.37114
High-order symplectic Lie group methods on \(SO(n)\) using the polar decomposition. (English) Zbl 1511.37101
Reviewer: Mohammad Sajid (Buraydah)
An implicit symplectic solver for high-precision long-term integrations of the solar system. (English) Zbl 1507.70003
Efficient energy-preserving exponential integrators for multi-component Hamiltonian systems. (English) Zbl 1492.65349
A dissipation-preserving integrator for damped oscillatory Hamiltonian systems. (English) Zbl 1499.65294
Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials. (English) Zbl 07517114
Variational integrators for forced Lagrangian systems based on the local path fitting technique. (English) Zbl 1510.70041
A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg-de Vries (KdV) equation. (English) Zbl 07822288
Explicit high-order exponential time integrator for discontinuous Galerkin solution of Maxwell’s equations. (English) Zbl 1520.78049
Generalized and graded geometry for mechanics: a comprehensive introduction. (English) Zbl 1506.70016
Computational dynamics of reduced coupled multibody-fluid system in Lie group setting. (English) Zbl 1535.70032
Barbaresco, Frédéric (ed.) et al., Geometric structures of statistical physics, information geometry, and learning. Proceedings of the workshop on joint structures and common foundation of statistical physics, information geometry and inference for learning, SPIGL’20, Les Houches, France, July 27–31, 2020. Cham: Springer. Springer Proc. Math. Stat. 361, 298-307 (2021).
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems. (English) Zbl 1493.70095
Two linearly implicit energy preserving exponential scalar auxiliary variable approaches for multi-dimensional fractional nonlinear Schrödinger equations. (English) Zbl 1524.65351
A variational finite element discretization of compressible flow. (English) Zbl 1506.65153
Reviewer: Jan Giesselmann (Darmstadt)
Meshless symplectic radial basis procedure for solving KdV equation. (Chinese. English summary) Zbl 1474.65470
MSC:
65P10
Asymptotic analysis of a structure-preserving integrator for damped Hamiltonian systems. (English) Zbl 1471.37073
Exponential integrators based on discrete gradients for linearly damped/driven Poisson systems. (English) Zbl 1471.65216
On the geometry of discrete contact mechanics. (English) Zbl 1464.37082
Reviewer: Bülent Karasözen (Ankara)
Multisymplectic Galerkin Lie group variational integrators for geometrically exact beam dynamics based on unit dual quaternion interpolation – no shear locking. (English) Zbl 1506.37107
RATTLie: a variational Lie group integration scheme for constrained mechanical systems. (English) Zbl 1460.65156
Some notes on the stability of symplectic methods. (Chinese. English summary) Zbl 1474.65469
Analogues of Kahan’s method for higher order equations of higher degree. (English) Zbl 1464.37068
Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 175-189 (2020).
Deep Hamiltonian neural networks based on symplectic integrators. (Chinese. English summary) Zbl 1463.68071
Lie-Poisson methods for isospectral flows. (English) Zbl 1450.37073
Reviewer: Bülent Karasözen (Ankara)
A minimal-variable symplectic method for isospectral flows. (English) Zbl 1448.37107
Reviewer: Bülent Karasözen (Ankara)
What makes nonholonomic integrators work? (English) Zbl 1447.37068
Reviewer: Bülent Karasözen (Ankara)
A space-time semi-Lagrangian advection scheme on staggered Voronoi meshes applied to free surface flows. (English) Zbl 1519.65033
An efficient numerical treatment for the asymptotic behaviour of the nonlinear Airy-type problems. (English) Zbl 1487.65192
Reviewer: Luigi Brugnano (Firenze)
Efficient implementation of partitioned stiff exponential Runge-Kutta methods. (English) Zbl 1439.65079
Reviewer: Joseph Páez Chávez (Guayaquil)
A flexible symplectic scheme for two-dimensional Schrödinger equation with highly accurate RBFs quasi-interpolation. (English) Zbl 1499.65729
Symplectic and self-consistent algorithms for particle accelerator simulation. (English) Zbl 1461.78001
Structure preserving algorithms for simulation of linearly damped acoustic systems. (English) Zbl 1433.65155
Collective heavy top dynamics. (English) Zbl 1436.37067
Reviewer: Giovanni Rastelli (Vercelli)
High-order stochastic symplectic partitioned Runge-Kutta methods for stochastic Hamiltonian systems with additive noise. (English) Zbl 1429.65016
Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems. (English) Zbl 1448.65266
A Hamiltonian pertubation approach to construction of geometric integrators for optimal control problems. (English) Zbl 07078969
Using finite element codes as a numerical platform to run molecular dynamics simulations. (English) Zbl 1468.74073
Structure-preserving stochastic conformal exponential integrator for linearly damped stochastic differential equations. (English) Zbl 1407.65322
A Galerkin splitting symplectic method for the two dimensional nonlinear Schrödinger equation. (English) Zbl 1488.65450
A symplectic procedure for two-dimensional coupled elastic wave equations using radial basis functions interpolation. (English) Zbl 1442.65302
What is a post-Lie algebra and why is it useful in geometric integration. (English) Zbl 1431.65236
Radu, Florin Adrian (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 126, 429-437 (2018).
Numerical invariant tori of symplectic integrators for integrable Hamiltonian systems. (English) Zbl 1400.37068
Time integration of rank-constrained Tucker tensors. (English) Zbl 1407.37113
Reviewer: Vasile Marinca (Timişoara)
Variational discretization of the nonequilibrium thermodynamics of simple systems. (English) Zbl 1394.37113
Reviewer: Fernando Casas (Castellon)
An efficient iterative algorithm for solving non-linear oscillation problems. (English) Zbl 1488.65125
A meshless symplectic algorithm for nonlinear wave equation using highly accurate RBFs quasi-interpolation. (English) Zbl 1427.65315
Variational calculation and symplectic structure of Hamiltonian systems based on the discrete Legendre transformations. (Chinese. English summary) Zbl 1389.37051
Spectral variational integrators for semi-discrete Hamiltonian wave equations. (English) Zbl 1367.65192
Lie group spectral variational integrators. (English) Zbl 1377.37115
Reviewer: Kai Schneider (Marseille)
High-order Hamiltonian splitting for the Vlasov-Poisson equations. (English) Zbl 1369.37083
Reviewer: Kai Schneider (Marseille)
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields. (English) Zbl 1373.78048
The symplectic integrator for two-dimensional Gross-Pitaevskii equations. (Chinese. English summary) Zbl 1413.65457
MSC:
65P10
A meshless symplectic method for two-dimensional Schrödinger equation with radial basis functions. (English) Zbl 1368.65204
Feedback integrators. (English) Zbl 1370.65071
Reviewer: Vu Hoang Linh (Hanoi)
Exponential integrators preserving first integrals or Lyapunov functions for conservative or dissipative systems. (English) Zbl 1342.65230
Multi-symplectic variational integrators for the Gross-Pitaevskii equations in BEC. (English) Zbl 1381.35163
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)
Line integral methods for conservative problems. (English) Zbl 1335.65097
Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6384-8/hbk; 978-1-4822-6385-5/ebook). xvi, 222 p. (2016).
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Multi-symplectic preserving integrator for the Schrödinger equation with wave operator. (English) Zbl 1443.65144
A meshless symplectic algorithm for multi-variate Hamiltonian PDEs with radial basis approximation. (English) Zbl 1403.65105
MSC:
65M70
High order variational integrators in the optimal control of mechanical systems. (English) Zbl 1332.65184
High order numerical methods for highly oscillatory problems. (English) Zbl 1317.34137
Reviewer: Ilia V. Boikov (Penza)
Collective Lie-Poisson integrators on \(\mathbb{R}^{3}\). (English) Zbl 1318.65079
Reviewer: Christian Pötzsche (Klagenfurt)
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