Numerical Methods for Differential Equations
Annual rept. 30 Sep 1984-29 Sep 1985
STATE UNIV OF NEW YORK AT STONY BROOK DEPT OF APPLIED MATHEMATICS AND STATISTICS
Pagination or Media Count:
Investigators have been able to develop a computer code which has turned out to be quite competitive with a well established code. The new approach implements a variable order finite difference scheme which does not require derivatives of the given function and which uses no information outside a subinterval to approximate the given system in that subinterval. Three papers have been published as a result of this effort, with the following titles, An adaptive boundary value Runge-Kutta solver for first order boundary value problems, on the solution of sparse non-linear evaluations and some applications and A quasi-Newton method with sparse triple factorization. Four additional papers are in press. Keywords Computer code Variable order and Finite difference scheme.
- Numerical Mathematics