Numerical Method in Classical Dynamics

Charles Schwartz

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arXiv · 1007.1258

Numerical Method in Classical Dynamics

Charles Schwartz

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Abstract

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.

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physics.class-ph cs.NA math.NA physics.comp-ph

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Charles Schwartz. 2010-07-07. Numerical Method in Classical Dynamics. https://arxiv.org/abs/1007.1258

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