Investigation of accuracy of numerical solution of the one-way helmholtz equation by method of computational experiment
A. A. Degtyarev, E. S. Kozlova

Full text of article: Russian language.

Abstract:
The question of investigating the convergence of the finite-difference scheme for one-way Helmholtz equation is considered. The main attention is paid to the evaluation of the speed of convergence of the numerical solutions in a uniform and standard norms for linear as well as nonlinear variant of the Helmholtz equation that takes into account the “self-influence” effect. The calculations were performed on a supercomputer “Sergey Korolev” using specially developed parallel algorithms.

Key words:
guidelines refractive index, “self-influence” effect, focusing, finite-difference scheme, accuracy of approximation, research of convergence, sweep method, parallel algorithm, supercomputer.

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