On the Definition of Surface Potentials for Finite-Difference Operators

Abstract

For a class of linear constant-coefficient finite-difference operators of the second order, we introduce the concepts similar to those of conventional singleand double-layer potentials for differential operators. The discrete potentials are defined completely independently of any notion related to the approximation of the continuous potentials on the grid… (More)
DOI: 10.1023/A:1021111713715

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