Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
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.
Czasopismo
Rocznik
Tom
Strony
25--36
Opis fizyczny
Bibliogr. 6 poz., wykr..
Twórcy
autor
autor
- AGH University of Technology, Faculty of Applied Mathematics, al. Mickiewicza, 30, 30-059 Cracow, Poland, lustyk@mat.agh.edu.pl
Bibliografia
- [1] O.M. Lytvyn, Numerical methods: supplementing chapters, Naukowa Dumka, Kiev, 2005, (in Ukrainian).
- [2] O.M. Lytvyn, Interpolation of functions and its applications, Osnowa, Charkov, 2002, (in Ukrainian).
- [3] W.S. Wladimirow, Equation of Mathematical Physics, Nauka, Moscow, 1976.
- [4] M. Luśtyk, O. Bihun, Approximation properties of the Lie-algebraic scheme, Matematychni Studii 20 (2003), 85-91.
- [5] M. Luśtyk, The Lie-Algebraic Discrete Approximation Scheme for Evolution Equations with Dirichlet/Neumann Data, Universitatis Iagellonicae Acta Mathematica 40 (2002), 117-124.
- [6] Yu. A. Mitropolski A.K. Prykarpatsky, V.H. Samoilenko, A Lie-algebraic scheme of discrete approximations of dynamical systems of mathematical physics, Ukrainian Math. Journal 40 (l988), 453-458.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0008-0003