The use of Hamilton's principle to derive time-advance algorithms for ordinary differential equations

DOI10.1016/0010-4655(96)00039-2zbMath0921.65048OpenAlexW2065354536WikidataQ127473539 ScholiaQ127473539MaRDI QIDQ1282960

Peter J. Kostelec, H. Ralph Lewis

Publication date: 29 September 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(96)00039-2

zbMATH Keywords

algorithmsMaxwell's equationsHamilton's principlesystems of ordinary differential equationsnumerical comparisonVlasov-Maxwell equationscollisionless plasma simulationRunge-Kutta and symplectic algorithms

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Dynamical systems and ergodic theory (37-XX)

Related Items

Incursive discretization, system bifurcation, and energy conservation, Symplectic-energy-momentum preserving variational integrators, The averaged Lagrangian method, Mechanical integrators derived from a discrete variational principle, A comparison of symplectic and Hamilton's principle algorithms for autonomous and non-autonomous systems of ordinary differential equations

Cites Work

• Numerically induced stochasticity
• Long-time behaviour of numerically computed orbits: Small and intermediate timestep analysis of one-dimensional systems
• A symplectic integration algorithm for separable Hamiltonian functions
• The Liouville theorem and accurate plasma simulation
• Integrators for Lie-Poisson dynamical systems
• Energy conserving, Liouville, and symplectic integrators
• Symplectic integration of Hamiltonian systems
• Lectures on Mechanics
• Explicit Canonical Methods for Hamiltonian Systems
• Horizons and Analytic Extensions in Static Two-Dimensional Space-Times
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item