Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation
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| 024 | 7 | 0 | |a 10.1007/s10958-014-2202-7 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-014-2202-7 | ||
| 245 | 0 | 0 | |a Application of the generalized method of Lie-algebraic discrete approximations to the solution of the Cauchy problem with the advection equation |h [Elektronische Daten] |c [Arkadii Kindybaliuk, Mykola Prytula] |
| 520 | 3 | |a The approximation properties and the conditions of convergence of a computational scheme of the generalized method of Lie-algebraic discrete approximations for the solution of the Cauchy problem with a one-dimensional advection equation are proved. The reduction of the Cauchy problem with the advection equation to a system of linear algebraic equations ensures the factorial convergence in all variables of the equation. | |
| 540 | |a Springer Science+Business Media New York, 2014 | ||
| 690 | 7 | |a Generalized method of Lie-algebraic discrete approximations |2 nationallicence | |
| 690 | 7 | |a approximation scheme |2 nationallicence | |
| 690 | 7 | |a discretization |2 nationallicence | |
| 690 | 7 | |a advection equation |2 nationallicence | |
| 690 | 7 | |a factorial convergence |2 nationallicence | |
| 700 | 1 | |a Kindybaliuk |D Arkadii |u I. Franko Lviv National University, 1, Universytets'ka Str., 79000, Lviv, Ukraine |4 aut | |
| 700 | 1 | |a Prytula |D Mykola |u I. Franko Lviv National University, 1, Universytets'ka Str., 79000, Lviv, Ukraine |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 204/3(2015-01-01), 280-297 |x 1072-3374 |q 204:3<280 |1 2015 |2 204 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-014-2202-7 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-014-2202-7 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kindybaliuk |D Arkadii |u I. Franko Lviv National University, 1, Universytets'ka Str., 79000, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Prytula |D Mykola |u I. Franko Lviv National University, 1, Universytets'ka Str., 79000, Lviv, Ukraine |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 204/3(2015-01-01), 280-297 |x 1072-3374 |q 204:3<280 |1 2015 |2 204 |o 10958 | ||