Test problems for ordinary differential equations
Numerical methods and programming, Tome 3 (2002) no. 3, pp. 11-19
Voir la notice de l'article provenant de la source Math-Net.Ru
A number of test problems for program performance evaluation in the field of
ordinary differential equations (the case ofau Cauchy problem) are proposed.
End-points of integration intervals and parameters of these tests may be
varied to obtain more detailed information on properties of programs under
study and on properties of the corresponding numerical methods.
Keywords:
ordinary differential equations, Cauchy problem, test problems, soft problems, stiff problems, unstable solutions, sensitivity to round-off errors, oscillating solutions.
@article{VMP_2002_3_3_a1,
author = {O. B. Arushanyan and S. F. Zaletkin and N. N. Kalitkin},
title = {Test problems for ordinary differential equations},
journal = {Numerical methods and programming},
pages = {11--19},
publisher = {mathdoc},
volume = {3},
number = {3},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2002_3_3_a1/}
}
TY - JOUR AU - O. B. Arushanyan AU - S. F. Zaletkin AU - N. N. Kalitkin TI - Test problems for ordinary differential equations JO - Numerical methods and programming PY - 2002 SP - 11 EP - 19 VL - 3 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2002_3_3_a1/ LA - ru ID - VMP_2002_3_3_a1 ER -
O. B. Arushanyan; S. F. Zaletkin; N. N. Kalitkin. Test problems for ordinary differential equations. Numerical methods and programming, Tome 3 (2002) no. 3, pp. 11-19. http://geodesic.mathdoc.fr/item/VMP_2002_3_3_a1/