The Runge-Kutta method with fixed and variable parameters for solution of systems of first-order ordinary differential equations

Siegfried Scholz

Aplikace matematiky (1975)

  • Volume: 20, Issue: 3, page 166-185
  • ISSN: 0862-7940

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Scholz, Siegfried. "Runge-Kutta-Verfahren mit festen und variablen Parametern zur Lösung von Systemen gewöhnlicher Differentialgleichungen 1. Ordnung." Aplikace matematiky 20.3 (1975): 166-185. <http://eudml.org/doc/14908>.

@article{Scholz1975,
author = {Scholz, Siegfried},
journal = {Aplikace matematiky},
language = {ger},
number = {3},
pages = {166-185},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Runge-Kutta-Verfahren mit festen und variablen Parametern zur Lösung von Systemen gewöhnlicher Differentialgleichungen 1. Ordnung},
url = {http://eudml.org/doc/14908},
volume = {20},
year = {1975},
}

TY - JOUR
AU - Scholz, Siegfried
TI - Runge-Kutta-Verfahren mit festen und variablen Parametern zur Lösung von Systemen gewöhnlicher Differentialgleichungen 1. Ordnung
JO - Aplikace matematiky
PY - 1975
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 20
IS - 3
SP - 166
EP - 185
LA - ger
UR - http://eudml.org/doc/14908
ER -

References

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  1. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations, John Wiley & Sons, New York, London 1962. (1962) Zbl0112.34901MR0135729
  2. A. Ralston, Runge-Kutta methods with minimum error bounds, Math. Соmр. 16 (1962), 431-437. (1962) Zbl0105.31903MR0150954
  3. C. Runge H. König, Numerisches Rechnen, Springer-Verlag, Berlin 1924. (1924) Zbl50.0361.05
  4. S. Scholz, 10.1002/zamm.19690490902, ZAMM 49 (1969), 517-524. (1969) Zbl0176.46703MR0253566DOI10.1002/zamm.19690490902
  5. S. Scholz, Fehlerabschätzung und Genauigkeitssteigerung bei Runge-Kutta-Verfahren, Dissertation TU Dresden 1970. (1970) Zbl0304.65050
  6. F. Stetter, 10.1007/BF01362549, Monatshefte f. Mathematik 72 (1968), 239-244. (1968) Zbl0205.17502MR0228178DOI10.1007/BF01362549

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