Explicit construction of linear multistep block methods

Reiner Vanselow

Aplikace matematiky (1983)

  • Volume: 28, Issue: 1, page 1-8
  • ISSN: 0862-7940

Abstract

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In der vorliegenden Arbeit wird für lineare Mehrschrittblock verfahren zur numerischen Lösung von Anfangswertaufgaben eine explizite Konstruktionsmöglichkeit angegeben. Sie ermöglicht es, zu einem gegebenen Stabilitätspolynom ohne Lösung eines linearen Gleichungssystems die Koefizienten des zugehörigen Blockverfahrens zu berechnen.

How to cite

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Vanselow, Reiner. "Explizite Konstruktion von linearen Mehrschrittblockverfahren." Aplikace matematiky 28.1 (1983): 1-8. <http://eudml.org/doc/15269>.

@article{Vanselow1983,
author = {Vanselow, Reiner},
journal = {Aplikace matematiky},
keywords = {linear multistep; block methods; polynomial of stability; explicit construction; linear multistep; block methods; polynomial of stability; explicit construction},
language = {ger},
number = {1},
pages = {1-8},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Explizite Konstruktion von linearen Mehrschrittblockverfahren},
url = {http://eudml.org/doc/15269},
volume = {28},
year = {1983},
}

TY - JOUR
AU - Vanselow, Reiner
TI - Explizite Konstruktion von linearen Mehrschrittblockverfahren
JO - Aplikace matematiky
PY - 1983
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 1
SP - 1
EP - 8
LA - ger
KW - linear multistep; block methods; polynomial of stability; explicit construction; linear multistep; block methods; polynomial of stability; explicit construction
UR - http://eudml.org/doc/15269
ER -

References

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  1. G. G. Dahlquist, 10.1007/BF01963532, BIT 3, (1963), 27-43. (1963) Zbl0123.11703MR0170477DOI10.1007/BF01963532
  2. 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
  3. M. Práger J. Taufer E. Vitásek, Overimplicit multistep methods, Apl. Mat. 18, (1973), 399-421. (1973) MR0366041
  4. H. A. Watts, A-stable block implicit one-step methods, Sandia Laboratories, Albuquerque, Applied Mathematics (1971). (1971) 
  5. H. A. Watts L. F. Shampine, 10.1007/BF01932819, BIT 12, (1972), 252-266. (1972) MR0307483DOI10.1007/BF01932819
  6. R. Vanselow, Stabilitäts- und Fehleruntersuchungen bei numerischen Verfahren zur Lösung steifer nichtlinearer Anfangswertprobleme, Diplomarbeit, TU Dresden (1978/79). (1978) 

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