141 citations · 919 across the 47 of their papers we have counts for
6 papers · 1 filter
Relativistic Motion in a Constant Electromagnetic Field
Siu A. Chin
For a relativistic charged particle moving in a constant electromagnetic field, its velocity 4-vector has been well studied. However, despite the fact that both the electromagnetic…
The physics of symplectic integrators: perihelion advances and symplectic corrector algorithms
Siu A. Chin
Symplectic integrators evolve dynamical systems according to modified Hamiltonians whose error terms are also well-defined Hamiltonians. The error of the algorithm is the sum of ea…
A Fundamental Theorem on the Structure of Symplectic Integrators
Siu A. Chin
I show that the basic structure of symplectic integrators is governed by a theorem which states {\it precisely}, how symplectic integrators with positive coefficients cannot be cor…
The Complete Characterization of Fourth-Order Symplectic Integrators with Extended-Linear Coefficients
Siu A. Chin
The structure of symplectic integrators up to fourth-order can be completely and analytical understood when the factorization (split) coefficents are related linearly but with a un…
Forward Symplectic Integrators and the Long Time Phase Error in Periodic Motions
S. R. Scuro, S. A. Chin
We show that when time-reversible symplectic algorithms are used to solve periodic motions, the energy error after one period is generally two orders higher than that of the algori…
Exact evolution of time-reversible symplectic integrators and their phase error for the harmonic oscillator
Siu A. Chin, Sante R. Scuro
The evolution of any factorized time-reversible symplectic integrators, when applied to the harmonic oscillator, can be exactly solved in a closed form. The resulting modified Hami…