
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) : Chan,T F
PDF Url : ADA139589
Report Date : Feb 1984
Pagination or Media Count : 13
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 G(u,t)=0 with t fixed. It is therefore wellsuited 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 pseudoarclength condition. He show that under certain conditions the algorithm converges if S is convergent for G. (Author)
Descriptors : *Numerical methods and procedures, *Approximation(Mathematics), *Problem solving, *Nonlinear systems, Coupling(Interaction), Iterations, Nonlinear differential equations, Partial differential equations, Algorithms, Convergence, Computations
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE