## Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

## If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

# Uniform Expansions for a Class of Finite Difference Schemes for Elliptic Boundary Value Problems

Harry Munz
Mathematics of Computation
Vol. 36, No. 153 (Jan., 1981), pp. 155-170
DOI: 10.2307/2007732
Stable URL: http://www.jstor.org/stable/2007732
Page Count: 16
Preview not available

## Abstract

For a class of finite difference schemes for the Dirichlet problem on a bounded region $\Omega \subset \mathbf{R}^n$, the existence of uniform expansions of the approximate solution for meshlength $h \rightarrow 0$ is shown. The results also improve error bounds which Pereyra, Proskurowski, and Widlund obtained with respect to certain discrete $L_2$-norms.

• 155
• 156
• 157
• 158
• 159
• 160
• 161
• 162
• 163
• 164
• 165
• 166
• 167
• 168
• 169
• 170