Completely conservative, covariant numerical solution of systems of ordinary differential equations with applications

DOI10.1007/BF02925253zbMath0871.65060OpenAlexW2017914940MaRDI QIDQ4340024

Donald Greenspan

Publication date: 1 October 1997

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02925253

zbMATH Keywords

conservation lawsdifference equations\(N\)-body problemsNewtonian dynamics

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) (n)-body problems (70F10) Finite difference and finite volume methods for ordinary differential equations (65L12) Dynamical systems and ergodic theory (37-XX)

Related Items

On periodic approximate solutions of dynamical systems with quadratic right-hand side

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
• Energy and momentum conserving methods of arbitrary order for the numerical integration of equations of motion. II: Motion of a system of particles
• Conservative numerical methods for \(\ddot x=f(x)\)
• Theory of Superconductivity