# Accession Number:

## ADA093279

# Title:

## On the Eigenvalues of 2nd Order Elliptic Difference Operators.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## WISCONSIN UNIV-MADISON DEPT OF COMPUTER SCIENCES

# Personal Author(s):

# Report Date:

## 1980-11-01

# Pagination or Media Count:

## 28.0

# Abstract:

This work is motivated by the desire to extend the theory of iterative methods for the solution of the algebraic problems associated with L sub h, a finite difference operator. For this reason the operators N sub h will approximate N in a relatively weak manner. In order to simplify the presentation we first consider a particular model problem. Following that development we discuss the essential features of that discussion. Also described are the basic model problem and some well-known facts about this model problem. The convergence theorems are developed and ideas in our convergence proofs and their possible extension to more general problems are discussed.

# Descriptors:

# Subject Categories:

- Theoretical Mathematics