@Article{Luśtyk2007,
author = "Luśtyk, Mirosław and Prytula, Mykola",
title = "Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R<sup>2</sup>. Part I",
journal = "Opuscula Math.",
year = "2007",
volume = "27",
number = "1",
pages = "25--36",
doi = "http://dx.doi.org/10.7494/OpMath.2007.27.1.25",
url = "http://dx.doi.org/10.7494/OpMath.2007.27.1.25",
abstract = "An algebraic-analytic method for constructing discrete approximations of linear hyperbolic equations based on a generalized d'Alembert formula of the Lytvyn and Riemann expressions for Cauchy data is proposed. The problem is reduced to some special case of the fixed point problem.",
keywords = "algebraic-analytic approximation, d'Alembert type formula, Riemann functions, fixed point problem",
issn = "1232-9274"
}