ON GODUNOV SCHEME STABILITY FOR REGION-BY-REGION COMPUTATION WITH DIFFERENT TIME STEPS

V. Yu. Melzas
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1982. Вып.2. С. 49-58.

      The Godunov Scheme stability is proved for region-by-region computation with different time steps. Jump size on the contact boundary is evaluated for acoustic equations and a linear solution. It is shown, that the scheme jump size for splitting computation does not exceed that of a conventional scheme. Some examples of numerical computation with splitting scheme both for linear and nonlinear cases are presented.