scientific article; zbMATH DE number 1985269

Publication date: 24 September 2003

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

comparison of methods Poincaré sections Hamiltonian systems Runge-Kutta methods flow linear multistep methods backward error analysis geometric numerical integration structure-preserving integration Hamiltonian differential equations motion of two bodies Matlab programs completely integrable problems composition and splitting methods GniCodes symplectic and symmetric integrators time-reversible flow

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Two-body problems (70F05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Packaged methods for numerical algorithms (65Y15)

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Uses Software

Matlab