Global error estimation in the numerical solution of retarded differential equations by Euler's method
Aplikace matematiky (1983)
- Volume: 28, Issue: 3, page 177-185
- ISSN: 0862-7940
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topJackiewicz, Zdzisław. "Global error estimation in the numerical solution of retarded differential equations by Euler's method." Aplikace matematiky 28.3 (1983): 177-185. <http://eudml.org/doc/15294>.
@article{Jackiewicz1983,
abstract = {In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.},
author = {Jackiewicz, Zdzisław},
journal = {Aplikace matematiky},
keywords = {global error estimation; retarded differential equations; Euler’s method; system of ordinary differential equations; numerical examples; global error estimation; retarded differential equations; Euler's method; system of ordinary differential equations; numerical examples},
language = {eng},
number = {3},
pages = {177-185},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global error estimation in the numerical solution of retarded differential equations by Euler's method},
url = {http://eudml.org/doc/15294},
volume = {28},
year = {1983},
}
TY - JOUR
AU - Jackiewicz, Zdzisław
TI - Global error estimation in the numerical solution of retarded differential equations by Euler's method
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 3
SP - 177
EP - 185
AB - In this paper Zadunaisky's technique is used to estimate the global error propagated in the numerical solution of the system of retarded differential equations by Euler's method. Some numerical examples are given.
LA - eng
KW - global error estimation; retarded differential equations; Euler’s method; system of ordinary differential equations; numerical examples; global error estimation; retarded differential equations; Euler's method; system of ordinary differential equations; numerical examples
UR - http://eudml.org/doc/15294
ER -
References
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- Z. Jackiewicz, 10.1007/BF01397004, Numer. Math. 32 (1979), 307-332. (1979) Zbl0388.65028MR0535197DOI10.1007/BF01397004
- Z. Jackiewicz, Global error estimation in the numerical solution of integro-differential equations by Euler's method, To appear in Zastos. Mat. Zbl0557.65094MR0757894
- H. J. Stetter, Economical global error estimation, In: Proceedings of Symposium on Stiff Differential Systems, Wildbad, 1973. New York: Plenum Publ. Co. 1974. (1973) MR0405863
- P. E. Zadunaisky, 10.1007/BF01399082, Numer. Math. 27 (1976), 21 - 39. (1976) MR0431696DOI10.1007/BF01399082
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