TY  - JOUR
ID  - Luśtyk2007
LB  - Luśtyk2007
AU  - Luśtyk, Mirosław
AU  - Prytula, Mykola
TI  - Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R<sup>2</sup>. Part I
ST  - Construction of algebraic-analytic discrete approximations for linear and nonlinear hyperbolic equations in R<sup>2</sup>. Part I
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2007
VL  - 27
IS  - 1
SP  - 25
EP  - 36
DO  - http://dx.doi.org/10.7494/OpMath.2007.27.1.25
UR  - http://dx.doi.org/10.7494/OpMath.2007.27.1.25
AB  - 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.
KW  - algebraic-analytic approximation
KW  - d'Alembert type formula
KW  - Riemann functions
KW  - fixed point problem
SN  - 1232-9274
ER  -