Accession Number:

ADA139589

Title:

An Approximate Newton Method for Coupled Nonlinear Systems.

Descriptive Note:

Research rept.,

Corporate Author:

YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1984-02-01

Pagination or Media Count:

13.0

Abstract:

The author proposes an approximate Newton method for solving a coupled nonlinear system. The method involves applying the basic iteration S of a general solver for the equation Gu,t0 with t fixed. It is therefore well-suited for problems for which such a solver already exists or can be implemented more efficiently than a solver for the coupled system. The author derives conditions for S under which the method is locally convergent. Basically, if S is sufficiently contractive for G, then convergence for the coupled system is guaranteed. Otherwise, it shown how to construct a S from S for which convergence is assured. These results are applied to continuation methods where N represents a pseudo-arclength condition. He show that under certain conditions the algorithm converges if S is convergent for G. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE