DOI: 10.7494/opmath.2007.27.1.25 ISSN: 1232-9274

Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R<sup>2</sup>. Part I

Mirosław Luśtyk, Mykola Prytula

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.

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