On total truncation error estimation for the one-step method
Aplikace matematiky (1987)
- Volume: 32, Issue: 3, page 177-185
- ISSN: 0862-7940
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topValková, Anna. "On total truncation error estimation for the one-step method." Aplikace matematiky 32.3 (1987): 177-185. <http://eudml.org/doc/15491>.
@article{Valková1987,
abstract = {In this paper the author establishes estimation of the total truncation error after $s$ steps in the fifth order Ruge-Kutta-Huťa formula for systems of differential equations. The approach is analogous to that used by Vejvoda for the estimation of the classical formulas of the Runge-Kutta type of the 4-th order.},
author = {Valková, Anna},
journal = {Aplikace matematiky},
keywords = {global error estimation; fifth order Runge-Kutta method; system; differential equations; numerical solution; fifth order; error analysis; global error estimation; fifth order Runge-Kutta method; system},
language = {eng},
number = {3},
pages = {177-185},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On total truncation error estimation for the one-step method},
url = {http://eudml.org/doc/15491},
volume = {32},
year = {1987},
}
TY - JOUR
AU - Valková, Anna
TI - On total truncation error estimation for the one-step method
JO - Aplikace matematiky
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 3
SP - 177
EP - 185
AB - In this paper the author establishes estimation of the total truncation error after $s$ steps in the fifth order Ruge-Kutta-Huťa formula for systems of differential equations. The approach is analogous to that used by Vejvoda for the estimation of the classical formulas of the Runge-Kutta type of the 4-th order.
LA - eng
KW - global error estimation; fifth order Runge-Kutta method; system; differential equations; numerical solution; fifth order; error analysis; global error estimation; fifth order Runge-Kutta method; system
UR - http://eudml.org/doc/15491
ER -
References
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- E. J. Nyström, Über die numerische Integration von Differentialgleichungen, Acta Soc. Sci. Fennicae, Тоm 50, nr. 13, 1-55 (1925). (1925)
- A. Ralston, A first course in numerical analysis, (1965) by McGraw-Hill, Inc. New York. (1965) Zbl0139.31603MR0191070
- A. Valková, A theoretical formula for an error of the Huťa formula of the Runge-Kutta type of the fifth order, Acta Mathematica Universitatis Comenianae XL-XLI (1982), 111-128. (1982) MR0686967
- A. Valková, A local error estimation of the formulas of the Runge-Kutta-Huťa type of the fifth and sixth order, Acta Mathematica Universitatis Comenianae XLII-XLIII (1983). (1983)
- O. Vejvoda, Error estimation for the Runge-Kutta formula, (Czech). Apl. mat. 2 (1957), 1-23. (1957)
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