Cover Image

Simpson variational integrator for nonlinear systems: a tutorial on the Lagrange top

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Rojas-Quintero, Juan Antonio, Dubois, François, Jourdan, Frédéric
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis Computational Physics 65P10
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Simpson's quadrature for a nonlinear variational symplectic scheme
by: Dubois, François, et al.
Published: (2024)

A variational symplectic scheme based on Simpson's quadrature
by: Dubois, François, et al.
Published: (2024)

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

Symplectic Error of Implicit Symplectic Integrators: A Qualitative Structural Analysis
by: Gajdoš, Matěj, et al.
Published: (2026)

Time-symmetry, symplecticity and stability of Euler-Maclaurin and Lanczos-Dyche integration
by: Markakis, Charalampos M., et al.
Published: (2019)

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

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

Preservation of the invariants of Lotka-Volterra equations by iterated deferred correction methods
by: Uzunca, Murat
Published: (2019)

Goal-oriented time adaptivity for port-Hamiltonian systems
by: Bartel, Andreas, 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)

Stochastic conformal integrators for linearly damped stochastic Poisson systems
by: Bréhier, Charles-Edouard, et al.
Published: (2025)

On the coordinate system-dependence of the accuracy of symplectic numerical methods
by: Takács, Donát M., et al.
Published: (2025)

Heteroclinic Connections between Periodic Orbits in Planar Restricted Circular Three Body Problem - A Computer Assisted Proof
by: Wilczak, D., et al.
Published: (2002)

Splitting Methods for differential equations
by: Blanes, Sergio, et al.
Published: (2024)

Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations
by: Ferrari, Matteo, et al.
Published: (2026)

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints
by: Amodio, P., et al.
Published: (2022)

Adaptive stepsize algorithms for Langevin dynamics
by: Leroy, Alix, et al.
Published: (2024)

Various approaches to solving nonlinear equations
by: Nash, John C., et al.
Published: (2025)

Numerical stability of force-gradient integrators and their Hessian-free variants in lattice QCD simulations
by: Schäfers, Kevin, et al.
Published: (2025)

A robust and adaptive GenEO-type domain decomposition preconditioner for $\mathbf{H}(\mathbf{curl})$ problems in three-dimensional general topologies
by: Bootland, Niall, et al.
Published: (2023)

Derivative estimation by RKHS regularization for learning dynamics from time-series data
by: Guo, Hailong, et al.
Published: (2025)

The Stochastic TR-BDF2 Scheme of Order 2
by: Caraballo, Tomás, et al.
Published: (2026)

A novel energy-based modeling framework
by: Altmann, R., et al.
Published: (2024)

A variational symplectic scheme based on Lobatto's quadrature
by: Dubois, François, et al.
Published: (2025)

Model order reduction of parametric dynamical systems by slice sampling tensor completion
by: Mamonov, Alexander V., et al.
Published: (2024)

Quantum relative entropy regularization for quantum state tomography
by: Oberender, Florian, et al.
Published: (2026)

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

Hamiltonian Boundary Value Methods (HBVMs) for functional differential equations with piecewise continuous arguments
by: Gurioli, Gianmarco, et al.
Published: (2024)

A hierarchical splitting approach for N-split differential equations
by: Schäfers, Kevin, et al.
Published: (2026)

A Rigorous and Self--Contained Proof of the Grover--Rudolph State Preparation Algorithm
by: Falco, Antonio, et al.
Published: (2026)

Convergence rates for random feature neural network approximation in molecular dynamics
by: Huang, Xin, et al.
Published: (2024)

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

Solving nonlinear eigenvalue problems via contour integration and region partitioning
by: Liu, Yuqi, et al.
Published: (2025)

Can Efficient Fourier-Transform Techniques Favorably Impact on Broadband Computational Electromagnetism?
by: Anderson, Thomas G., et al.
Published: (2024)

Hessian-free force-gradient integrators
by: Schäfers, Kevin, et al.
Published: (2024)

Energy-Based Modeling and Structure-Preserving Discretization of Physical Systems
by: Rashid, M. H. M
Published: (2025)

Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
by: Cabrera, Alejandro, et al.
Published: (2024)

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

A dual grid geometric electromagnetic particle in cell method
by: Kormann, Katharina, et al.
Published: (2025)

Constrained Optimal Polynomials for Quantum Linear System Solvers
by: Deiml, Matthias, et al.
Published: (2026)