Single step methods for inhomogeneous linear differential equations in Banach space

Philip Brenner; Michel Crouzeix; Vidar Thomée

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1982)

  • Volume: 16, Issue: 1, page 5-26
  • ISSN: 0764-583X

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Brenner, Philip, Crouzeix, Michel, and Thomée, Vidar. "Single step methods for inhomogeneous linear differential equations in Banach space." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 16.1 (1982): 5-26. <http://eudml.org/doc/193391>.

@article{Brenner1982,
author = {Brenner, Philip, Crouzeix, Michel, Thomée, Vidar},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {single step methods; initial-value problem; Banach space},
language = {eng},
number = {1},
pages = {5-26},
publisher = {Dunod},
title = {Single step methods for inhomogeneous linear differential equations in Banach space},
url = {http://eudml.org/doc/193391},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Brenner, Philip
AU - Crouzeix, Michel
AU - Thomée, Vidar
TI - Single step methods for inhomogeneous linear differential equations in Banach space
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1982
PB - Dunod
VL - 16
IS - 1
SP - 5
EP - 26
LA - eng
KW - single step methods; initial-value problem; Banach space
UR - http://eudml.org/doc/193391
ER -

References

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  1. 1. P. BRENNER and V. THOMÉE, On rational approximation of semi-groups, SIAM J. Numer. Anal. 16, 1979, 683-694. Zbl0413.41011MR537280
  2. 2. M. CROUZEIX, Sur l'approximation des équations différentielles opérationnelles linéaires par des méthodes de Runge-Kutta, Thèse, Université Paris VI, 1975. 
  3. 3. S. P. N-utf00D8_RSETT, Runge-Kutta methods with a multiple real eigenvalue only, BIT 16, 1976, 388-399. Zbl0345.65036MR440928
  4. 4. S. P. NØRSETT and G. WANNER, Perturbed collocation and Runge-Kutta methods, Report, Université de Genève, 1978. Zbl0471.65045

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