Loading...
Please wait, while we are loading the content...
Similar Documents
Time-transformations for reversible variable stepsize integration, Numerical Algorithms (1998)
| Content Provider | CiteSeerX |
|---|---|
| Author | Bond, Stephen D. Leimkuhler, Benedict J. |
| Description | The development of a Sundman-type time-transformation for reversible variable stepsize integration of few-body problems is discussed. While a time-transformation based on minimum particle separation is suitable if the collisions only occur pairwise and isolated in time, the control of stepsize is typically much more difficult for a three-body close approach. Nonetheless, we find that a suitable choice of timetransformation based on particle separation can work quite well for certain types of three-body simulations, particularly those involving very steep repulsive walls. We confirm these observations using numerical examples from Lennard-Jones scattering. Keywords: Adaptive Verlet method, time-reversible methods, adaptive timestepping, variable stepsize methods, N-body mechanical problems, scattering, Verlet |
| File Format | |
| Language | English |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Few-body Problem Three-body Simulation Numerical Algorithm Minimum Particle Separation Lennard-jones Scattering Three-body Close Approach Variable Stepsize Method Reversible Variable Stepsize Integration Steep Repulsive Wall Certain Type Numerical Example Sundman-type Time-transformation Adaptive Verlet Method Adaptive Timestepping Suitable Choice Time-reversible Method N-body Mechanical Problem Particle Separation |
| Content Type | Text |
| Resource Type | Article |
