On the Eigenvalues of 2nd Order Elliptic Difference Operators.
WISCONSIN UNIV-MADISON DEPT OF COMPUTER SCIENCES
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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.
- Theoretical Mathematics