Numerical Method in Classical Dynamics
This work provides a practical numerical method for simulating classical dynamical systems, but it is an incremental improvement over existing techniques.
The paper presents a set of algorithms for efficient numerical calculation of time evolution in classical dynamical systems, starting with a reversible first approximation and bootstrapping to higher order accuracy, extended to many dimensions and particles.
A set of algorithms is presented for efficient numerical calculation of the time evolution of classical dynamical systems. Starting with a first approximation for solving the differential equations that has a "reversible" character, we show how to bootstrap easily to higher order accuracy.The method, first shown for a single particle in one dimension, is then neatly extended to many dimensions and many particles.