A Fortran 90 separable Hamiltonian system solver

DOI10.1016/S0168-9274(97)00060-3zbMath0884.65072MaRDI QIDQ1372702

R. W. Brankin, K. Bouas-Dockery, Ian Gladwell

Publication date: 12 March 1998

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

softwareinitial value problemerror boundHamiltonian systemstepsize controlsymplectic integrator

Mathematics Subject Classification ID

Hamilton's equations (70H05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (5)

A Fortran 90 separable Hamiltonian system solver ⋮ Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems. ⋮ Performance of variable step size methods for solving model separable Hamiltonian systems ⋮ From symplectic integrator to Poincaré map: Spline expansion of a map generator in Cartesian coordinates ⋮ Performance of two methods for solving separable Hamiltonian systems

Uses Software

• AD01
• Algorithm 670
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Cites Work

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• Fourth-order symplectic integration
• A Fortran 90 separable Hamiltonian system solver
• A simple step size selection algorithm for ODE codes
• Families of Runge-Kutta-Nystrom Formulae
• The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
• High-Order Embedded Runge-Kutta-Nystrom Formulae
• Variable-order variable-step algorithms for second-order systems. Part 2: The codes
• Algorithm 670: a Runge-Kutta-Nyström code
• The accuracy of symplectic integrators
• Explicit Canonical Methods for Hamiltonian Systems

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