𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems

✍ Scribed by P. J. Houwen; B. P. Sommeijer; W. A. Veen


Publisher
Springer US
Year
1994
Tongue
English
Weight
947 KB
Volume
8
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Runge-Kutta methods for the solution of
✍ J.R. Cash πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 847 KB

One of the most popular approaches to the numerical solution of two-point boundary value problems is shooting. However this approach is often ineffective for singularly perturbed problems due to the possible presence of rapidly increasing modes which cannot be dealt with using an initial value solve

An exponentially-fitted Runge-Kutta meth
✍ T.E. Simos πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 335 KB

An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems wi',h periodic or oscillating solutions is developed in this paper. Numerical and theoretical results obtained for several well known problems show the efficiency of the new method. (~

Exponentially-fitted Runge-Kutta-NystrΓΆm
✍ T.E. Simos πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 545 KB

new approach for constructing efficient RungeKutta-Nystrom methods is introduced in this paper. Based on this new approach a new exponentially-fitted Runge-KuttaNystrGm fourth-algebraic-order method is obtained for the numerical solution of initial-value problems with oscillating solutions. The new