Abstract

We develop adaptive artificial boundary conditions for 2D linear and nonlinear Schrödinger equation. These conditions are adaptive ones to the problem solution near the artificial boundary. This approach allows us to increase many times the efficiency of application of the artificial boundary conditions. In this connection we discuss an influence of both round-off error and small value of intensity on accuracy of computation of wave number of the beam in the vicinity of boundary.Keywordsadaptive artificial boundary conditions2D Schrödinger equationwave number near the boundary

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