Cover Image

On the coordinate system-dependence of the accuracy of symplectic numerical methods

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Takács, Donát M., Fülöp, Tamás
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Classical Physics Computational Physics 65P10, 70H15, 34A05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Thermodynamically extended symplectic numerical simulation of viscoelastic, thermal expansion and heat conduction phenomena in solids
by: Takács, Donát M., et al.
Published: (2022)

Variationally consistent Hamiltonian model reduction
by: Gruber, Anthony, et al.
Published: (2024)

An explicit integrator uniform in the true anomaly and exactly preserving all integrals of motion in the three-dimensional Kepler problem
by: Cieśliński, Jan L., et al.
Published: (2025)

Numerical search for three-body periodic free-fall orbits with central symmetry
by: Hristov, I., et al.
Published: (2025)

An extensive search for stable periodic orbits of the equal-mass zero angular momentum three-body problem
by: Hristov, Ivan, et al.
Published: (2025)

Lie Group Variational Collision Integrators for a Class of Hybrid Systems
by: Tran, Khoa, et al.
Published: (2023)

A new construction of modified equations for variational integrators
by: Oliver, Marcel, et al.
Published: (2024)

Hamiltonian Monte Carlo methods for spectroscopy data analysis
by: McBride, Daniel, et al.
Published: (2024)

Symplectic model order reduction of port-Hamiltonian systems
by: Glas, Silke, et al.
Published: (2022)

Shooting method for solving two-point boundary value problems in ODEs numerically
by: Singh, Jitender
Published: (2022)

A polar-factor retraction on the symplectic Stiefel manifold with closed-form inverse
by: Zimmermann, Ralf
Published: (2026)

A novel semi-analytical multiple invariants-preserving integrator for conservative PDEs
by: Shi, Wei, et al.
Published: (2025)

Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions
by: Roque, Emmanuel, et al.
Published: (2025)

Discrete versus continuous -- linear lattice models and their exact continuous counterparts
by: Fusi, Lorenzo, et al.
Published: (2026)

Riemannian optimization on the symplectic Stiefel manifold using second-order information
by: Jensen, Rasmus, et al.
Published: (2024)

A Structure-Preserving Decorated Particle Method for the Vlasov-Poisson System
by: Quashie, Mandela B., et al.
Published: (2026)

Shifted Witten classes and topological recursion
by: Charbonnier, Séverin, et al.
Published: (2022)

Spectral inclusion and spectral exactness for singular non-selfadjoint Sturm-Liouville problems
by: Brown, B. M., et al.
Published: (2000)

A mathematical model for Nordic skiing
by: MacDonald, Jane Shaw, et al.
Published: (2024)

Improving the accuracy of the Newmark method through backward error analysis
by: Takács, Donát M., et al.
Published: (2024)

Reconstruction techniques for complex potentials
by: Kravchenko, Vladislav V.
Published: (2023)

On the connection coefficients for linear differential systems with applications to the spheroidal and ellipsoidal wave equation
by: Schmid, Harald
Published: (2023)

Exceptional points and defective resonances in an acoustic scattering system with sound-hard obstacles
by: Matsushima, Kei, et al.
Published: (2025)

The existence of explicit symplectic integrators for general nonseparable Hamiltonian systems
by: Mei, Lijie, et al.
Published: (2025)

Accuracy and componentwise accuracy in multilinear PageRank
by: Kalyani, Mehdi Najafi, et al.
Published: (2025)

An exponential map free implicit midpoint method for stochastic Lie-Poisson systems
by: Ephrati, Sagy, et al.
Published: (2024)

Symplectic methods for stochastic Hamiltonian systems: asymptotic error distributions and Hamiltonian-specific analysis
by: Chen, Chuchu, et al.
Published: (2025)

Modified Halley's method for computation of zeros of solution of second order ODEs
by: K, Dhivya Prabhu, et al.
Published: (2026)

Reconstruction techniques for quantum trees
by: Avdonin, Sergei A., et al.
Published: (2023)

Analysis of Spectral Hamiltonian Boundary Value Methods (SHBVMs) for the numerical solution of ODE problems
by: Amodio, Pierluigi, et al.
Published: (2018)

Error estimation for numerical approximations of ODEs via composition techniques. Part II: BDF methods
by: Deeb, Ahmad, et al.
Published: (2026)

Separation of variables in perturbed cylinders
by: Aslanyan, A., et al.
Published: (2000)

Bounds on complex eigenvalues and resonances
by: Abramov, A. A., et al.
Published: (1999)

Stability Analysis of Inexact Solves in Model Reduction of Non-parametric Second-order Dynamical systems
by: Ahuja, Kapil, et al.
Published: (2018)

Subordination based approximation of Caputo fractional propagator and related numerical methods
by: Sytnyk, Dmytro
Published: (2025)

Retraction maps: A seed of geometric integrators. Part II: Symmetry and reduction
by: Liñán, María Barbero, et al.
Published: (2025)

Model reduction on manifolds: A differential geometric framework
by: Buchfink, Patrick, et al.
Published: (2023)

Geometry preserving numerical methods for physical systems with finite-dimensional Lie algebras
by: Blanco, L., et al.
Published: (2023)

On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations
by: Sakhnovich, Alexander
Published: (2021)

Pair Space in Classical Mechanics II. N-Body Central Configurations
by: Drory, Alon
Published: (2024)