Two new solutions to the third-order symplectic integration method

DOI10.1016/j.physleta.2009.06.048zbMath1233.70005OpenAlexW2079809344MaRDI QIDQ665280

Reima Iwatsu

Publication date: 5 March 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2009.06.048

zbMATH Keywords

Hamiltonian systemsymplectic integratorcomputational acousticsRuth's method

Mathematics Subject Classification ID

Hamilton's equations (70H05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (1)

Third-order symplectic integration method with inverse time dispersion transform for long-term simulation

Cites Work

• A symplectic Runge-Kutta-Nyström method with minimal phase-lag
• Fourth-order symplectic integration
• A symplectic integration algorithm for separable Hamiltonian functions
• Low-dissipation and low-dispersion fourth-order Runge-Kutta algorithm
• Runge-Kutta schemes for Hamiltonian systems
• Low-storage Runge-Kutta schemes
• Sixth-order Lie group integrators
• Compact finite difference schemes with spectral-like resolution
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• Geometric Numerical Integration

This page was built for publication: Two new solutions to the third-order symplectic integration method