On the parametric instability caused by step size variation in Runge-Kutta-Nyström methods
On the parametric instability caused by step size variation in Runge-Kutta-Nyström methods
piche_on_the_parametric_instability_caused_by_step_size_variation.pdf
(Tampereen yliopisto - Trepo)
The parametric instability arising when ordinary differential equations (ODEs) are numerically integrated with Runge-Kutta-Nyström (RKN) methods with varying step sizes is investigated. It is shown that when linear constant coefficient ODEs are integrated with RKN methods that are based on A-stable Runge-Kutta methods, the solution is nonincreasing in some norm for all positive step sizes, constant or varying. Perturbation methods are used to quantify the critical step sizes associated with parametric instability.
Tallennettuna:
Kieli |
englanti |
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Sarja | Tampere University of Technology, Department of Information Technology, Mathematics Report, 73 |
ISBN |
952-15-0021-2 |
ISSN |
1236-956X |