The numerical modeling of a cesium cycle in the upper atmosphere by an l-stable method of second-order accuracy


Дәйексөз келтіру

Толық мәтін

Аннотация

An algorithm of right-hand side and Jacobian formation of differential equations of chemical kinetics is described. Numerical simulation of the cesium cycle in the upper atmosphere is conducted by means of the L-stable method of the second order of accuracy with the control accuracy. The results of the computation are presented.

Авторлар туралы

A Novikov

Siberian Federal University, Russia, Krasnoyarsk

Siberian Federal University, Russia, Krasnoyarsk

E Novikov

Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, Krasnoyarsk

Institute of Computational Modelling, Russian Academy of Sciences, Siberian Branch, Russia, Krasnoyarsk

Әдебиет тізімі

  1. Hairer E. Solving Ordinary Differential Equations. Stiff and Differential - Algebraic Problems / E. Hairer, G. Wanner. Springer-Verlag, 1996.
  2. Novikov E. A. Explicit methods for stiff systems / E. A. Novikov. Novosibirsk: Nauka, 1997.197 p. (inRussian).
  3. Byrne G. D. ODE solvers: a review of current and coming attractions / G. D. Byrne, A. C. Hindmarsh // J. of Comput. Physics. 1987. №70. P. 1-62.
  4. Emmanuel N. M. Chemical Kinetics / N. M. Emmanuel, D. G. Knorre. Moscow : Vysshaya shkola, 1974. 400 p. (in Russian).
  5. Babusok V. I. Numerical solution of direct kinetic problems /V. I. Babusok, E. A. Novikov //React. Kinet. Catal. Lett. 1982.V21.№. 1-2. P. 121-124.
  6. Babusok V. I. Generator of a right-hand side and a Jacobi matrix of differential equations of chemical kinetics : preprint № 359 /V. I. Babusok, E. A. Novikov ; Computing Center of SB AS USSR. Novosibirsk, 1982.27 p. (inRussian).
  7. Novikov E. A. The (2,1)-method for stiff nonautonomous problems /E. A. Novikov // Systems of control and informational technologies. 2008. №2(32). P. 12-15. (in Russian).
  8. Novikov E. A. Some methods for stiff systems induced by one and two calculations of a right-hand side / E. A. Novikov, Yu. A. Shitov // Math. models and methods forproblems of mechanics of continua. Krasnoyarsk, 1986. P. 11-19.
  9. Edelson D. The new book in chemical kinetics / D. Edelson//J. Chem. Ed. 1975. V 52. P. 642-643.
  10. Brown P. N. Reduced Storage Matrix Methods in Stiff ODE Systems / P. N. Brown, A. C. Hindmarsh // J. Appl. Math&Comp. 1989. V 31. P. 40-91.

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© Novikov A.E., Novikov E.A., 2009

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