Accession Number:

AD0293887

Title:

ON A FINITE DIFFERENCE ANALOGUE OF AN ELLIPTIC BOUNDARY DIFFERENCE ANALOGUE OF AN ELLIPTIC BOUNDARY PROBLEM WHICH IS NEITHER DIAGONALLY DOMINANT NOR OF NON-NEGATIVE TYPE

Descriptive Note:

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1962-12-01

Pagination or Media Count:

1.0

Abstract:

A study of a particular Ph4 finite difference analog of a two point boundary problem for the Sturm-Liouville equation is presented. This analog violates the usual properties of diagonal dominance and being of non-negative type at every interior mesh point. It is shown, however, that for the mesh size h taken sufficiently small a maximum principle is valid and that the discretization error is Oh4. It is further shown that the point Jacobi iteration method diverges while the forward-backward Gauss-Seidel method converges. Author

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Distribution Statement:

APPROVED FOR PUBLIC RELEASE