we study an N-step iterative scheme which generalises several Newton-type schemes that have appeared in the literature. We show that, under generalized Zabrejko-Nguen conditions, the iterative scheme converges whenever 1 5 N 5 00. This proves in a unified context the convergence of an infinite numbe
On the optimization of a class of second order iterative schemes
β Scribed by G. Avdelas; S. Galanis; A. Hadjidimos
- Publisher
- Springer Netherlands
- Year
- 1983
- Tongue
- English
- Weight
- 916 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0006-3835
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present a class of eztendcd one-step time integration schemes for the integration of second-order nonlinear hyperbolic equations utt = c% 25 + p(z, t, u), subject to initial conditions and boundary conditions of Dirichlet type or of Neumann type. We obtain one-step time integration schemes of orders
significantly different wave speeds. For those phenomena mainly associated with waves which have relatively small An iterative implicit-explicit hybrid scheme is proposed for hyperbolic systems of conservation laws. Each wave in a system may be wave speeds, a small time step in an explicit scheme i