Accession Number : ADA136427

Title :   Numerical Methods for Stiff Two-Point Boundary Value Problems.

Descriptive Note : Technical summary rept.,


Personal Author(s) : Kreiss,H ; Nichols,N K ; Brown,D L

PDF Url : ADA136427

Report Date : Nov 1983

Pagination or Media Count : 86

Abstract : The authors consider the two-point boundary value problem for stiff systems of ordinary differential equations. For systems that can be transformed to essentially diagonally dominant form with appropriate smoothness conditions, a priori estimates are obtained. Problems with turning points can be treated with this theory, and we discuss this in detail. They give robust difference approximations and present error estimates for these schemes. In particular they give a detailed description of how to transform a general system to essentially diagonally dominant form and then stretch the independent variable so that the system will satisfy the correct smoothness conditions. Numerical examples are presented for both linear and nonlinear problems. (Author)

Descriptors :   *Numerical methods and procedures, *Boundary value problems, Stiffness, Linear differential equations, Difference equations, Matrices(Mathematics), Vector analysis, Approximation(Mathematics), Error analysis, Estimates

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE