Accession Number : ADA134696

Title :   Numerical Methods for Singular Perturbation Problems.

Descriptive Note : Technical rept.,


Personal Author(s) : Huynh,Q ; Wong,Y S ; Lustman,L

PDF Url : ADA134696

Report Date : 01 Nov 1983

Pagination or Media Count : 24

Abstract : Singular perturbation equations contain many of the essential difficulties of the Navier-Stokes equations. In this report the weighted-mean scheme for linear equations and the monotone difference scheme for nonlinear equations were adopted. Presented here are fast iterative techniques for solving large systems of equations that result from discretization. Numerical results are also presented for nonlinear cases using Newton's method combined with the minimal residual method. The main conclusions are that minimal residual methods with a preconditioning technique and multigrid methods with a special relaxation scheme have proved to be quite reliable and far more efficient than standard iterative methods. (Author)

Descriptors :   *Numerical methods and procedures, *Perturbations, *Problem solving, Numerical analysis, Iterations, Navier stokes equations, Boundary layer, Linear algebraic equations, Nonlinear algebraic equations, Residuals, Matrices(Mathematics)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE