A COMPUTER STUDY OF THE ESTIMATED PROPAGATION OF ERRORS IN THE NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS.
Abstract
The adjoint of the equation of first variation is used to estimate error propagation in the numerical solution of differential equations. Truncation error is obtained by Richardson's deferred approach to the limit, while roundoff is assumed uniformly distributed from -1/2 to 1/2 in units of the last place retained in the solution. Six representative equations with known solutions are analyzed using the Runge-Kutta routine. The errors predicted by this technique are the same magnitude or greater than the actual errors. The very restricted four body problem is integrated about a libration point and the results indicate an invalid solution after 11.1 years. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1967
- Accession Number
- AD0651613
Entities
People
- Robert C. Zani
Organizations
- Air Force Institute of Technology