Article ID Journal Published Year Pages File Type
4639515 Journal of Computational and Applied Mathematics 2013 8 Pages PDF
Abstract

This paper is concerned with the Cauchy problem connected with the Helmholtz equation. On the basis of the denseness of Herglotz wavefunctions, we propose a numerical method for obtaining an approximate solution to the problem. We analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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