Accession Number : ADA017591

Title :   The Application of Sparse Matrix Methods to the Numerical Solution of Nonlinear Elliptic Partial Differential Equations.

Descriptive Note : Technical rept.,

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

Personal Author(s) : Eisenstat,S. C. ; Schultz,M. H. ; Sherman,A. H.

Report Date : FEB 1974

Pagination or Media Count : 26

Abstract : The authors present a new algorithm for solving general semilinear, elliptic partial differential equations. The algorithm is based on Newton's Method but uses an approximate iterative method to solve the linear systems that arise at each step of Newton's Method. The authors show that the algorithm can maintain the quadratic convergence of Newton's Method and that it may be substantially faster than other available methods for semilinear or nonlinear partial differential equations.

Descriptors :   *Partial differential equations, *Nonlinear differential equations, *Iterations, Boundary value problems, Approximation, Finite difference theory, Finite element analysis

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE