Numerical Method in Classical Dynamics

2010/07/07 by Charles Schwartz, Schwartz, Charles
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical Physics (physics.class-ph) #Computational Physics (physics.comp-ph) #Computational Physics and Python Applications #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1007.1258

openalex publication_date 2010/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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