This article is cited in 3 papers

Numerical solution for hyperbolic PDE in unlimited domain

A. B. Alshin^a, E. A. Alshina^b, N. N. Kalitkin<sup>b

a</sup> M. V. Lomonosov Moscow State University, Faculty of Physics
^b Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: Difference schemes for the hyperbolic PDE are constructed on quasi-equidistant grids covering unlimited spatial domain. The offered schemes are the natural generalization of the well known ones on uniform grids. Approximation, stability and convergence of the constructed methods are investigated. The cases both one and multi-spatial dimensions are considered.

Received: 10.11.2003

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