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In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations. One can think of this method as a conservative finite-volume method which solves exact, or approximate Riemann problems at each inter-cell boundary. In its basic form, Godunov's method is first order accurate in both space and time, yet can be used as a base scheme for developing higher-order methods.

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  • Schéma de Godounov (fr)
  • Godunov's scheme (en)
  • Метод Годунова (ru)
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  • In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations. One can think of this method as a conservative finite-volume method which solves exact, or approximate Riemann problems at each inter-cell boundary. In its basic form, Godunov's method is first order accurate in both space and time, yet can be used as a base scheme for developing higher-order methods. (en)
  • En analyse numérique, le schéma de Godounov est un schéma numérique conservatif, suggéré par Serguey Godounov en 1959 pour la résolution numérique d'équations aux dérivées partielles. Ce schéma fonctionne comme une méthode des volumes finis pour la résolution de problèmes de Riemann exacte ou approchée entre chaque cellule. Sa forme la plus simple est d'ordre 1 en espace et en temps mais peut être étendue à des méthodes d'ordres plus élevés. (fr)
  • Метод Годунова — реализация схем сквозного счета, с помощью которых можно рассчитывать газодинамические течения с разрывами параметров внутри расчётной области. Эта схема предложена С. К. Годуновым в 1959 г. Метод Годунова — это вариант метода контрольного объёма.Потоки через боковые грани определяются из решения задачи о распаде произвольного разрыва.Поясним на примере. (ru)
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  • In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations. One can think of this method as a conservative finite-volume method which solves exact, or approximate Riemann problems at each inter-cell boundary. In its basic form, Godunov's method is first order accurate in both space and time, yet can be used as a base scheme for developing higher-order methods. (en)
  • En analyse numérique, le schéma de Godounov est un schéma numérique conservatif, suggéré par Serguey Godounov en 1959 pour la résolution numérique d'équations aux dérivées partielles. Ce schéma fonctionne comme une méthode des volumes finis pour la résolution de problèmes de Riemann exacte ou approchée entre chaque cellule. Sa forme la plus simple est d'ordre 1 en espace et en temps mais peut être étendue à des méthodes d'ordres plus élevés. (fr)
  • Метод Годунова — реализация схем сквозного счета, с помощью которых можно рассчитывать газодинамические течения с разрывами параметров внутри расчётной области. Эта схема предложена С. К. Годуновым в 1959 г. Метод Годунова — это вариант метода контрольного объёма.Потоки через боковые грани определяются из решения задачи о распаде произвольного разрыва.Поясним на примере. (ru)
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