Symplectic Integration of Constrained Hamiltonian Systems by Composition Methods

DOI10.1137/0733025zbMath0852.65060OpenAlexW2005549295MaRDI QIDQ4880220

Sebastian Reich

Publication date: 5 December 1996

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bbf1efa3bbce9c79b0698f227d2ddb83dd29af2f

zbMATH Keywords

Hamiltonian systemsdifferential algebraic equationssymplectic integratorsmathematical pendulumsymplectic implicit Runge-Kutta methodcanonical discretization schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

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Uses Software

• PITCON