| Title:
|
On factorization method (English) |
| Author:
|
Taufer, Jiří |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
11 |
| Issue:
|
6 |
| Year:
|
1966 |
| Pages:
|
427-451 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the method of factorization for boundary value problems of system of differential equations is generalized. The method described is successful providiny that the problem has a unique solution. Further the question of influence of errors resulting from numerical realization of the method on the solution is dealt with in the article. (English) |
| Keyword:
|
ordinary differential equations |
| MSC:
|
65-62 |
| idZBL:
|
Zbl 0149.04803 |
| idMR:
|
MR0226872 |
| DOI:
|
10.21136/AM.1966.103052 |
| . |
| Date available:
|
2008-05-20T17:37:02Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103052 |
| . |
| Reference:
|
[1] Gabriele Mammana (1925): Sopra un nuovo metodo di studio delle equazioni diíferenziali lineari.Mathematische Zeitschrift 25, 734-748. MR 1544837, 10.1007/BF01283865 |
| Reference:
|
[2] E. L. Ince (1927): Orginary Differential Equations.Longmans. |
| Reference:
|
[3] Gabriele Mammana (1930): Decomposizione delle espressioni differenziali lineari omogence in prodotti di fattori simbolici e applicazione allo studio delle equazioni differenziali lineari.Mathematische Zeitschrift 33, 186-231. 10.1007/BF01174351 |
| Reference:
|
[4] E. Ciceli Ridley (1956): A Numerical Method of Solving Second-Order Linear Differential Equations With Two- Point Boundary Conditions.Proc. of the Cam. Philosoph. Soc., 53 442-447. MR 0086395, 10.1017/S0305004100032424 |
| Reference:
|
[5] Г. И. Марчук (1958): Численные методы расчета ядерных реакторов.Атомиздат. |
| Reference:
|
[6] И. С. Верезин H. Г. Жидков (1959): Методы вычислений II.Москва. Гос. издат. |
| Reference:
|
[7] А. А. Абрамов (1961): Вариант метода прогонки.Ж. вычисл. матем. а матем. физ. 1, 349-351. MR 0156020 |
| Reference:
|
[8] А. А. Абрамов (1961): О переносе граничных числовий для систем линейных обыкнове- нных дифференцияльных уравнений.Ж. вычисл. матем. а матем. физ. 1, 542-545. MR 0145671 |
| Reference:
|
[9] Ivo Babuška, Milan Práger (1961): Numerisch stabile Methoden zur Lösung von Randwertaufgaben.Zeitschrift für Angewandte Mathematik und Mechanik, Band 41, T 4-6. |
| Reference:
|
[10] И. Бабушка M. Прагер Э. Витасек (1964): Замыкание вычислительных процессов и метод прогонки.Ж. Вычисл. мат. и мат. физ. 4, 351 - 353. MR 0163433 |
| Reference:
|
[11] Годуиов-Рябелъкий (1962): Введение в теорию разностных схем.Москва. Физматиз. |
| Reference:
|
[12] J. H. Wilkinson (1963): Rounding Errors in Algebraic Processes.London. H.M.S.O. MR 0161456 |
| Reference:
|
[13] Э. А. Кондынгтон H. Левинсон (1958): Теория обыкновенных дифференциальных уравнений.Москва. ИЛ. |
| Reference:
|
[14] Ivo Babuška, Milan Práger, Emil Vitásek (1966): Numerical Processes in Differential Equations.John Wiley& Sons, London-New York-Sydney; SNTL, Praha. MR 0223101 |
| . |
