Accession Number:

ADA162722

Title:

Numerical Methods for Differential Equations

Descriptive Note:

Annual rept. 30 Sep 1984-29 Sep 1985

Corporate Author:

STATE UNIV OF NEW YORK AT STONY BROOK DEPT OF APPLIED MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1985-09-01

Pagination or Media Count:

10.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE