Extension of the -stability concept to the class of the linear multistep block methods
Aplikace matematiky (1983)
- Volume: 28, Issue: 1, page 9-20
- ISSN: 0862-7940
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topVanselow, Reiner. "Erweiterung des $G$-Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren.." Aplikace matematiky 28.1 (1983): 9-20. <http://eudml.org/doc/15270>.
@article{Vanselow1983,
author = {Vanselow, Reiner},
journal = {Aplikace matematiky},
keywords = {$G$-stability; linear multistep; block methods; order of consistency; nonlinear problems; G-stability; linear multistep; block methods; order of consistency; nonlinear problems},
language = {ger},
number = {1},
pages = {9-20},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Erweiterung des $G$-Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren.},
url = {http://eudml.org/doc/15270},
volume = {28},
year = {1983},
}
TY - JOUR
AU - Vanselow, Reiner
TI - Erweiterung des $G$-Stabilitätsbegriffes auf die Klasse der linearen Mehrschrittblockverfahren.
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 1
SP - 9
EP - 20
LA - ger
KW - $G$-stability; linear multistep; block methods; order of consistency; nonlinear problems; G-stability; linear multistep; block methods; order of consistency; nonlinear problems
UR - http://eudml.org/doc/15270
ER -
References
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- G. G. Dahlquist, 10.1007/BFb0080115, Pro. Conf. Numerical Analysis, Dundee 1975, Springer Lecture Notes in Mathematics, 506 (1975), 60-74. (1975) MR0448898DOI10.1007/BFb0080115
- G. G. Dahlquist, On the relation of G-stability to other stability concepts for linear multistep methods, Topics in Numerical Analysis III, 67-80, ed. J. H. Miller, Acad. Press, London, 1977. (1977) Zbl0438.65073
- G. G. Dahlquist, G-stability is equivalent to A-stability, Report TRITA-NA-7805, 1978. (1978) Zbl0413.65057
- M. Práger J. Taufer E. Vitásek, Overimplicit methods for the solution of evolution problems, Acta Universitatis Carolinae - Mathematica et Physica 1 - 2 (1974), 125-133. (1974) MR0391515
- M. Práger J. Taufer E. Vitásek, Overimplicit multistep methods, Apl. mat. 18 (1973), 399-421. (1973) MR0366041
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- H. A. Watts L. F. Shampine, 10.1007/BF01932819, BIT 12 (1972), 252-266. (1972) MR0307483DOI10.1007/BF01932819
- R. Vanselow, Stabilitäts- und Fehleruntersuchungen bei numerischen Verfahren zur Lösung steifer nichtlinearer Anfangswertprobleme, Diplomarbeit, TU Dresden, 1978/79. (1978)
- R. Vanselow, Explizite Konstruktion von linearen Mehrschrittblockverfahren, Apl. Mat. 28 (1983), 1-8. (1983) Zbl0516.65059MR0684706
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