Conserving first integrals under discretization with variable step size integration procedures

DOI10.1016/S0377-0427(99)00178-8zbMath0944.65135OpenAlexW2057449346MaRDI QIDQ1971850

Johannes Schropp

Publication date: 14 September 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00178-8

zbMATH Keywords

three-body problemstabilizationflowJacobi integralconservation of first integralsvariable step size discretization methods

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamics induced by flows and semiflows (37C10) Dynamical systems in classical and celestial mechanics (37N05) Stability theory for smooth dynamical systems (37C75) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (1)

One- and multistep discretizations of index 2 differential algebraic systems and their use in optimization

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on multistep methods and attracting sets of dynamical systems
• Stabilization of DAEs and invariant manifolds
• Variable time step integration with symplectic methods
• Differential Topology
• Stable Attracting Sets in Dynamical Systems and in Their One-Step Discretizations

This page was built for publication: Conserving first integrals under discretization with variable step size integration procedures