Affiliation:
1. System Development Corporation, Research and Special Projects Directorate, Santa Monica, California
Abstract
The theory of generalized multistep methods using an off-grid point is extended to the special second-order equation
y″
=
f
(
x
,
y
). New high-order methods for solving this equation, based on quasi-Hermite interpolating polynomials, are shown to exist, as well as new explicit generalized methods for a first-order equation. Some results in the theory of quasi-Hermite interpolation are given, and results of computations of an unperturbed orbit trajectory are presented.
Publisher
Association for Computing Machinery (ACM)
Subject
Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software
Cited by
15 articles.
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