Order conditions for partitioned Runge-Kutta methods

Zdzisław Jackiewicz; Rossana Vermiglio

Applications of Mathematics (2000)

  • Volume: 45, Issue: 4, page 301-316
  • ISSN: 0862-7940

Abstract

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We illustrate the use of the recent approach by P. Albrecht to the derivation of order conditions for partitioned Runge-Kutta methods for ordinary differential equations.

How to cite

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Jackiewicz, Zdzisław, and Vermiglio, Rossana. "Order conditions for partitioned Runge-Kutta methods." Applications of Mathematics 45.4 (2000): 301-316. <http://eudml.org/doc/33061>.

@article{Jackiewicz2000,
abstract = {We illustrate the use of the recent approach by P. Albrecht to the derivation of order conditions for partitioned Runge-Kutta methods for ordinary differential equations.},
author = {Jackiewicz, Zdzisław, Vermiglio, Rossana},
journal = {Applications of Mathematics},
keywords = {partitioned Runge-Kutta method; ordinary differential equation; order conditions; partitioned Runge-Kutta method; order condition},
language = {eng},
number = {4},
pages = {301-316},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Order conditions for partitioned Runge-Kutta methods},
url = {http://eudml.org/doc/33061},
volume = {45},
year = {2000},
}

TY - JOUR
AU - Jackiewicz, Zdzisław
AU - Vermiglio, Rossana
TI - Order conditions for partitioned Runge-Kutta methods
JO - Applications of Mathematics
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 4
SP - 301
EP - 316
AB - We illustrate the use of the recent approach by P. Albrecht to the derivation of order conditions for partitioned Runge-Kutta methods for ordinary differential equations.
LA - eng
KW - partitioned Runge-Kutta method; ordinary differential equation; order conditions; partitioned Runge-Kutta method; order condition
UR - http://eudml.org/doc/33061
ER -

References

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  7. Solving Ordinary Differential Equations I. Nonstiff Problems, Springer-Verlag, Berlin-Heidelberg-New York, 1991. (1991) MR1227985
  8. 10.1007/BF01733788, BIT 36 (1996), 688–712. (1996) MR1420272DOI10.1007/BF01733788
  9. A general class of two-step Runge-Kutta methods for ordinary differential equations, SIAM J. Numer. Anal. 32 (1995), 1390–1427. (1995) MR1352196
  10. 10.1007/BF02142812, Numer. Algorithms 12 (1996), 347–368. (1996) MR1402855DOI10.1007/BF02142812
  11. Numerical Hamiltonian Problems, Chapman & Hall, London-Glasgow-New York, 1994. (1994) MR1270017

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