𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Parallel multiple shooting for the solution of initial value problems

✍ Scribed by M. Kiehl

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
990 KB
Volume
20
Category
Article
ISSN
0167-8191

No coin nor oath required. For personal study only.

✦ Synopsis

The computing time for the numerical solution of initial-value problems is closely related to the number of evaluations of the right-hand side. In general this number can only be reduced slightly on parallel computers, even if simultaneous evaluations of right-hand side are counted as one evaluation.

For special problems, however, it is possible to construct special methods which show a remarkable speedup on parallel computers. Multiple shooting, a method for boundary-value problems with an inherent parallelism, can also be applied efficiently to linear initial-value problems and to non-linear initial-value problems if good approximations are available.

πŸ“œ SIMILAR VOLUMES

The RKGL method for the numerical soluti
The RKGL method for the numerical solution of initial-value problems
✍ J.S.C. Prentice πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 188 KB

We introduce the RKGL method for the numerical solution of initial-value problems of the form y =f (x, y), y(a)= . The method is a straightforward modification of a classical explicit Runge-Kutta (RK) method, into which Gauss-Legendre (GL) quadrature has been incorporated. The idea is to enhance the