Toward a two-step Runge-Kutta code for nonstiff differential systems

Zbigniew Bartoszewski, and Zdzisław Jackiewicz. "Toward a two-step Runge-Kutta code for nonstiff differential systems." Applicationes Mathematicae 28.3 (2001): 353-365. <http://eudml.org/doc/279379>.

@article{ZbigniewBartoszewski2001,
abstract = {Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge-Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.},
author = {Zbigniew Bartoszewski, Zdzisław Jackiewicz},
journal = {Applicationes Mathematicae},
keywords = {two-step Runge-Kutta methods; starting procedure; local error estimation; step changing strategy; numerical experiments; nonstiff differential systems},
language = {eng},
number = {3},
pages = {353-365},
title = {Toward a two-step Runge-Kutta code for nonstiff differential systems},
url = {http://eudml.org/doc/279379},
volume = {28},
year = {2001},
}

TY - JOUR
AU - Zbigniew Bartoszewski
AU - Zdzisław Jackiewicz
TI - Toward a two-step Runge-Kutta code for nonstiff differential systems
JO - Applicationes Mathematicae
PY - 2001
VL - 28
IS - 3
SP - 353
EP - 365
AB - Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge-Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.
LA - eng
KW - two-step Runge-Kutta methods; starting procedure; local error estimation; step changing strategy; numerical experiments; nonstiff differential systems
UR - http://eudml.org/doc/279379
ER -