Opuscula Mathematica

Opuscula Math.
 27
, no. 1
 (), 25-36
Opuscula Mathematica

Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R2. Part I



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.
Mathematics Subject Classification: 35B05, 65F05.
Cite this article as:
Mirosław Luśtyk, Mykola Prytula, Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R2. Part I, Opuscula Math. 27, no. 1 (2007), 25-36
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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