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What is Symplectic Integration of Hamiltonian Systems about?
This document summarizes an article about symplectic integration algorithms (SIAs) for numerically integrating Hamiltonian systems. SIAs exactly preserve the symplectic structure of Hamiltonian systems. The document reviews past work on SIAs and presents new algorithms. It develops SIAs specifically for Hamiltonians with potential forms and tests the algorithms on examples like the Fermi-Pasta-Ulam string and Henon-Heiles system. The algorithms demonstrate long-term stability and preservation of phase space
- Author
- Nitish Kumar
- Language
- EN