Symplectic integration for the collisional gravitational by Hernandez, David Michael, Bertschinger, Edmund

“…We present a new symplectic integrator designed for collisional gravitational N-body problems which makes use of Kepler solvers. …”
Get full text
Get full text
Get full text

A symplectic integrator for molecular dynamics on a hypersphere by J.-M. Caillol

Get full text

SYMPLECTIC INTEGRATORS FOR THE MULTICHANNEL SCHRODINGER-EQUATION by Manolopoulos, D, Gray, S

“…Another consequence is that so-called symplectic integrators can be used to solve the radial Schrödinger equation, both for bound state and scattering problems. …”

Vlasov and drift kinetic simulation methods based on the symplectic integrator / by Watanabe, T. H., author, Sugama, H., author

Symplectic integrators tailored to the time-dependent Schrodinger equation by Gray, S, Manolopoulos, D

Explicit near-symplectic integrators for post-Newtonian Hamiltonian systems by Lijie Mei, Li Huang

“…Abstract Explicit symplectic integrators are powerful and widely used for Hamiltonian systems. …”
Get full text

A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes by Naying Zhou, Hongxing Zhang, Wenfang Liu, Xin Wu

“…In recent publications, the construction of explicit symplectic integrators for Schwarzschild- and Kerr-type spacetimes is based on splitting and composition methods for numerical integrations of Hamiltonians or time-transformed Hamiltonians associated with these spacetimes. …”
Get full text

Application of Explicit Symplectic Integrators in the Magnetized Reissner–Nordström Spacetime by Ai-Rong Hu, Guo-Qing Huang

Subjects: Get full text

Nonlinear dynamical systems of mathematical physics : spectral and symplectic integrability analysis / by 509258 Blackmore, Denis, Prykarpatsky, A. K., Samoylenko, Valeriy Hr.

Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory by A. Wolski, A. T. Herrod

Get full text

Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole by Wei Sun, Ying Wang, Fuyao Liu, Xin Wu

“…Abstract In a recent work of Wu, Wang, Sun and Liu, a second-order explicit symplectic integrator was proposed for the integrable Kerr spacetime geometry. …”
Get full text

Chaos in a Magnetized Brane-World Spacetime Using Explicit Symplectic Integrators by Airong Hu, Guoqing Huang

Subjects: Get full text

Charged Particle Motions near Non-Schwarzschild Black Holes with External Magnetic Fields in Modified Theories of Gravity by Hongxing Zhang, Naying Zhou, Wenfang Liu, Xin Wu

Subjects: Get full text

Application of high order symplectic integration methods with forward integration steps in beam dynamics by K. Skoufaris, J. Laskar, Y. Papaphilippou, Ch. Skokos

“…The Hamiltonian describing particle motion in an accelerator belongs to a large class of systems, the members of which can be integrated with a new set of high order symplectic integrators. One benefit of these integrators is their strong numerical stability, which results from the inclusion of only forward integration steps, independent of the order of accuracy. …”
Get full text

Application of Symmetric Explicit Symplectic Integrators in Non-Rotating Konoplya and Zhidenko Black Hole Spacetime by Guandong He, Guoqing Huang, Airong Hu

Subjects: Get full text

Effects of Coupling Constants on Chaos of Charged Particles in the Einstein–Æther Theory by Caiyu Liu, Xin Wu

Subjects: Get full text

Dynamics of Charged Particles Moving around Kerr Black Hole with Inductive Charge and External Magnetic Field by Xin Sun, Xin Wu, Yu Wang, Chen Deng, Baorong Liu, Enwei Liang

Subjects: Get full text

A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation by Xiaojing Kuang, Zhixiang Huang, Ming Fang, Qi Qi, Mingshen Chen, Xianliang Wu

Subjects: Get full text

OrbitN: A Symplectic Integrator for Planetary Systems Dominated by a Central Mass—Insight into Long-term Solar System Chaos by Richard E. Zeebe

“…Currently, the speed/accuracy demands are usually only met by symplectic integrators. For example, the most up-to-date long-term astronomical solutions for the solar system in the past (widely used in, e.g., astrochronology and high-precision geological dating) have been obtained using symplectic integrators. …”
Get full text

Erratum: “A Note on the Construction of Explicit Symplectic Integrators for Schwarzschild Spacetimes” (2022, ApJ, 927, 160) by Naying Zhou, Hongxing Zhang, Wenfang Liu, Xin Wu

Get full text