Accession Number:

ADA083824

Title:

High Order Difference Methods for Quasilinear Elliptic Boundary Value Problems on General Regions.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-02-01

Pagination or Media Count:

47.0

Abstract:

Stability and convergence for a difference method for quasilinear elliptic boundary value problems are proved. Asymptotic expansions of the discretization error, basic for Richardson extrapolation, are established. The general theory of discrete Newton methods and iterated defect corrections via neighboring problems and Pereyras deferred corrections are used to derive different high order methods. Some special cases and computational problems are pointed out and numerical tests are included. Author

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE