THE CONTROL OF PARASITISM IN G-SYMPLECTIC METHODS

• Published in: SIAM journal on numerical analysis Vol. 52; no. 5; pp. 2440 - 2465
• Main Authors: BUTCHER, JOHN C., HABIB, YOUSAF, HILL, ADRIAN T., NORTON, TERENCE J. T.
• Format: Journal Article
• Language: English
• Published: Society for Industrial and Applied Mathematics 01.01.2014
• Subjects: Angular momentum; Computer simulation; Design engineering; Differential equations; Invariants; Mathematical models; Mathematical sequences; Numerical analysis; Numerical integration; Ordinary differential equations; Parasitism; Pendulums; Perturbation methods; Preserves; Remedies; Rigid structures; Runge Kutta method; Tableaux

G-symplectic general linear methods are designed to approximately preserve symplectic invariants for Hamiltonian systems. In this paper, the properties of G-symplectic methods are explored computationally and theoretically. Good preservation properties are observed over long times for many parameter...