On factorization method

Jiří Taufer

Aplikace matematiky (1966)

  • Volume: 11, Issue: 6, page 427-451
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Taufer, Jiří. "On factorization method." Aplikace matematiky 11.6 (1966): 427-451. <http://eudml.org/doc/14438>.

@article{Taufer1966,
abstract = {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.},
author = {Taufer, Jiří},
journal = {Aplikace matematiky},
keywords = {ordinary differential equations},
language = {eng},
number = {6},
pages = {427-451},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On factorization method},
url = {http://eudml.org/doc/14438},
volume = {11},
year = {1966},
}

TY - JOUR
AU - Taufer, Jiří
TI - On factorization method
JO - Aplikace matematiky
PY - 1966
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 11
IS - 6
SP - 427
EP - 451
AB - 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.
LA - eng
KW - ordinary differential equations
UR - http://eudml.org/doc/14438
ER -

References

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  1. Gabriele Mammana (1925), 10.1007/BF01283865, Mathematische Zeitschrift 25, 734-748. Zbl51.0341.01MR1544837DOI10.1007/BF01283865
  2. E. L. Ince (1927), Orginary Differential Equations, Longmans. 
  3. Gabriele Mammana (1930), 10.1007/BF01174351, Mathematische Zeitschrift 33, 186-231. Zbl0001.01504DOI10.1007/BF01174351
  4. E. Ciceli Ridley (1956), 10.1017/S0305004100032424, Proc. of the Cam. Philosoph. Soc., 53 442-447. MR0086395DOI10.1017/S0305004100032424
  5. Г. И. Марчук (1958), Численные методы расчета ядерных реакторов, Атомиздат. 
  6. И. С. Верезин H. Г. Жидков (1959), Методы вычислений II, Москва. Гос. издат. 
  7. А. А. Абрамов (1961), Вариант метода прогонки, Ж. вычисл. матем. а матем. физ. 1, 349-351. MR0156020
  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. MR0145671
  9. Ivo Babuška, Milan Práger (1961), Numerisch stabile Methoden zur Lösung von Randwertaufgaben, Zeitschrift für Angewandte Mathematik und Mechanik, Band 41, T 4-6. Zbl0106.10604
  10. И. Бабушка M. Прагер Э. Витасек (1964), Замыкание вычислительных процессов и метод прогонки, Ж. Вычисл. мат. и мат. физ. 4, 351 - 353. MR0163433
  11. Годуиов-Рябелъкий (1962), Введение в теорию разностных схем, Москва. Физматиз. 
  12. J. H. Wilkinson (1963), Rounding Errors in Algebraic Processes, London. H.M.S.O. Zbl1041.65502MR0161456
  13. Э. А. Кондынгтон H. Левинсон (1958), Теория обыкновенных дифференциальных уравнений, Москва. ИЛ. 
  14. Ivo Babuška, Milan Práger, Emil Vitásek (1966), Numerical Processes in Differential Equations, John Wiley& Sons, London-New York-Sydney; SNTL, Praha. Zbl0156.16003MR0223101

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