Solving the space-time problem on the basis of quasi-stationary derivatives
Matematičeskoe modelirovanie, Tome 7 (1995) no. 10, pp. 84-98
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The new method for solving the space-time problem is developed. The method is based upon the principle of quasi-stationary derivatives (QSD). The simplest case of this approach when the quasi-stationary first derivative used only is very close to the well-known “prompt jump” method. The using of second and other quasi-stationary derivatives leads to convergence of the QSD solution to exact space-time problem solution. The methodology of QSD approach is outlined, and accuracy and efficiency is demonstrated. The numerical results in ID geometry are presented.
@article{MM_1995_7_10_a5,
author = {I. R. Suslov and V. I. Folomeev},
title = {Solving the space-time problem on the basis of quasi-stationary derivatives},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {84--98},
year = {1995},
volume = {7},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1995_7_10_a5/}
}
I. R. Suslov; V. I. Folomeev. Solving the space-time problem on the basis of quasi-stationary derivatives. Matematičeskoe modelirovanie, Tome 7 (1995) no. 10, pp. 84-98. http://geodesic.mathdoc.fr/item/MM_1995_7_10_a5/