This paper is concerned with the numerical solution of dissipative initial value problems with delays by multistep Runge-Kutta methods. We investigate the dissipativity properties of (k, /)-algebraically stable multistep Runge-Kutta methods with constrained grid and linear interpolation procedure. I
Dissipativity of one-leg methods for dynamical systems with delays
โ Scribed by Chengming Huang
- Book ID
- 108415974
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 104 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0168-9274
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๐ SIMILAR VOLUMES
## Dedicated to Prof. A . Uhlrnann on the Occasion of his 60th Birthday A b s t r a c t . We investigate certain dissipative dynamical systems from the aspect of the accessibility of states. Here the set of the n-dimensional probability vectors serves as state space, while i t is assumed that the
The main purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations. In particular, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied, and the concepts of R[1]-regularity and R[2]-