Cover Image

Efficient symplectic integrators for cubic and quartic potentials

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Escorihuela-Tomàs, Alejandro
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

D-splitting methods: 2N -storage embedded explicit Runge-Kutta methods at any order using splitting methods
by: Blanes, Sergio, et al.
Published: (2026)

Families of efficient low order processed composition methods
by: Blanes, Sergio, et al.
Published: (2024)

On alternating-conjugate splitting methods
by: Bernier, J., et al.
Published: (2025)

Second-order methods for quartically-regularised cubic polynomials, with applications to high-order tensor methods
by: Cartis, Coralia, et al.
Published: (2023)

An adaptive symplectic integrator for gravitational dynamics
by: Ye, Keqi, et al.
Published: (2025)

SIMD-vectorized implicit symplectic integrators can outperform explicit ones
by: Antoñana, Mikel, et al.
Published: (2025)

Approximating exponentials of commutators by optimized product formulas
by: Casas, F., et al.
Published: (2024)

Efficient implementation of high-order isospectral symplectic Runge-Kutta schemes
by: da Silva, Clauson Carvalho, et al.
Published: (2025)

A class of symplectic integrators with adaptive timestep for separable Hamiltonian systems
by: Preto, Miguel, et al.
Published: (1999)

From retraction maps to symplectic-momentum numerical integrators
by: Barbero-Liñán, María, et al.
Published: (2024)

A new perspective on symplectic integration of constrained mechanical systems via discretization maps
by: Liñán, María Barbero, et al.
Published: (2023)

Sampling Pfaffian point processes and the symplectic Arnoldi method
by: Edelman, Alan, et al.
Published: (2026)

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)

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

Learning Hamiltonian Systems with Pseudo-symplectic Neural Network
by: Cheng, Xupeng, et al.
Published: (2025)

Multi-symplectic Birkhoffian Structure for PDEs with Dissipation Terms
by: Su, Hongling, et al.
Published: (2003)

A parsimonious approach to $C^2$ cubic splines on arbitrary triangulations: Reduced macro-elements on the cubic Wang-Shi split
by: Lyche, Tom, et al.
Published: (2024)

Structural Inconsistency and Stability Classification of Multi-symplectic Diamond Schemes
by: Sato, Kaito, et al.
Published: (2026)

A representation and comparison of three cubic macro-elements
by: Češek, Ema, et al.
Published: (2026)

On a boundary integral solution of a lateral planar Cauchy problem in elastodynamics
by: Chapko, Roman, et al.
Published: (2018)

Chebyshev symplectic methods based on continuous-stage Runge-Kutta methods
by: Tang, Wensheng
Published: (2018)

Large deviations principles for symplectic discretizations of stochastic linear Schrödinger Equation
by: Chen, Chuchu, et al.
Published: (2020)

The probabilistic superiority of stochastic symplectic methods via large deviations principles
by: Chen, Chuchu, et al.
Published: (2019)

Novel semi-explicit symplectic schemes for nonseparable stochastic Hamiltonian systems
by: Hong, Jialin, et al.
Published: (2024)

Isogeometric analysis with $C^1$ cubic Powell-Sabin splines
by: Grošelj, Jan, et al.
Published: (2026)

Finite element spaces by Whitney k-forms on cubical meshes
by: Zhang, Shuo
Published: (2024)

A hybrid boundary integral-PDE approach for the approximation of the demagnetization potential in micromagnetics
by: Arjmand, Doghonay, et al.
Published: (2024)

Structure-preserving model reduction of Hamiltonian systems by learning a symplectic autoencoder
by: Niggl, F. K. J.
Published: (2024)

Unconditionally stable symplectic integrators for the Navier-Stokes equations and other dissipative systems
by: Sungkeetanon, Sutthikiat, et al.
Published: (2024)

A new quadratic and cubic polynomial enrichment of the Crouzeix-Raviart finite element
by: Dell'Accio, Francesco, et al.
Published: (2024)

Superiority of stochastic symplectic methods via the law of iterated logarithm
by: Chen, Chuchu, et al.
Published: (2024)

Stochastic positivity-preserving symplectic splitting methods for stochastic Lotka--Volterra predator-prey model
by: Zhang, Liying, et al.
Published: (2025)

The cubic nonlinear Schrödinger equation with rough potential
by: Mauser, Norbert J., et al.
Published: (2024)

Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form
by: Barrera, Domingo, et al.
Published: (2024)

Strong convergence rates of Galerkin finite element methods for SWEs with cubic polynomial nonlinearity
by: Qi, Ruisheng, et al.
Published: (2024)

Structure-preserving learning for multi-symplectic PDEs
by: Yıldız, Süleyman, et al.
Published: (2024)

High-order geometric integrators for the local cubic variational Gaussian wavepacket dynamics
by: Fereidani, Roya Moghaddasi, et al.
Published: (2023)

Efficient third order tensor-oriented directional splitting for exponential integrators
by: Cassini, Fabio
Published: (2023)

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