Abstract / Description of output
In Huang and Leimkuhler [SIAM J. Sci. Comput. 18 (1997) 239-256], a variable step-size, semi-explicit variant of the explicit Störmer-Verlet method has been suggested for the time-reversible integration of Newton's equations of motion. Here we propose a fully explicit version of this approach applicable to explicit and symmetric integration methods for general time-reversible differential equations. This approach greatly simplifies the implementation of the method while providing a straightforward approach to higher-order reversible variable time-step integration. As applications, we discuss the variable step-size, time-reversible, and fully explicit integration of rigid body motion and the Kepler problem.
Original language | English |
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Pages (from-to) | 367-377 |
Number of pages | 11 |
Journal | Applied Numerical Mathematics |
Volume | 39 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - Dec 2001 |