Accession Number : ADA133189

Title :   An Investigation of the Use of Iterative Linear Equation Solvers in Codes for Large Stiff Systems of ODE's.

Descriptive Note : Final rept.,

Corporate Author : YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Personal Author(s) : Chan,Tony

PDF Url : ADA133189

Report Date : 18 Jul 1983

Pagination or Media Count : 8

Abstract : This project deals with the problem of solving large systems of stiff ODEs. In particular, seen as one of the major issues is the choice of methods for solving the systems of linear and nonlinear equations that arise at each integration step. It is proposed to use variants of the preconditioned conjugate gradient method for solving the linear equations, and truncated Newton-like iterations for solving the nonlinear equations. The main objective is to determine whether the use of iterative methods for solving linear systems of algebraic equations in codes for large stiff systems of ODEs is competitive with sparse direct techniques. A more tangible objective is to produce a computer program that incorporates such an approach.

Descriptors :   *Iterations, *Linear algebraic equations, *Problem solving, Machine coding, Algorithms, Stiffness, Sparse matrix, Computer programs, Gradients, Analysis of variance

Subject Categories : Statistics and Probability
      Computer Programming and Software

Distribution Statement : APPROVED FOR PUBLIC RELEASE