Geodesic
Toward a two-step Runge–Kutta code for nonstiff differential systems
Zbigniew Bartoszewski1 ; Zdzis/law Jackiewicz2
1 Faculty of Technical Physics and Applied Mathematics Technical University of Gdańsk G. Narutowicza 11/12 80-952 Gdańsk, Poland
2 Department of Mathematics Arizona State University Tempe, AZ 85287, U.S.A.
Applicationes Mathematicae, Tome 28 (2001) no. 3, pp. 353-365 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am28-3-9
Keywords: various issues related development code nonstiff differential equations discussed code based two step runge kutta methods order five stage order five numerical experiments presented which demonstrate code competitive matlab ode program tolerances

Zbigniew Bartoszewski 1 ; Zdzis/law Jackiewicz 2

1 Faculty of Technical Physics and Applied Mathematics Technical University of Gdańsk G. Narutowicza 11/12 80-952 Gdańsk, Poland
2 Department of Mathematics Arizona State University Tempe, AZ 85287, U.S.A. 
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     title = {Toward a two-step {Runge{\textendash}Kutta} code for
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     journal = {Applicationes Mathematicae},
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Zbigniew Bartoszewski; Zdzis/law Jackiewicz. Toward a two-step Runge–Kutta code for
nonstiff differential systems. Applicationes Mathematicae, Tome 28 (2001) no. 3, pp. 353-365. doi: 10.4064/am28-3-9

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