Stability of Finite-Difference Problems with Nonreflecting Boundary Conditions


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Abstract

The article considers a three-point central-difference scheme for the transfer equation, with different kinds of special boundary conditions that reduce wave reflection from artificial boundaries. For the corresponding problems, we prove stability in grid energy norms analogous to the ordinary L2-norm or the differential (Sobolev) norm.

About the authors

L. V. Dorodnitsyn

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Author for correspondence.
Email: dorodn@cs.msu.su
Russian Federation, Moscow

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