Institute of Computational Mathematics and Mathematical Geophysics


Международная Конференция по Математическим Методам в Геофизике «ММГ-2003»

Россия, Новосибирск, Академгородок 8-12 октября 2003 г.

Тезисы докладов

Математическое моделирование процессов в атмосфере и гидросфере

The Relationship Between Non-conservative Schemes of Nonlinear Evolution Equation and Initial Values

Lin W.

Institute of Atmospheric Physics/Chinese Academy of Sciences (Beijing)

For the non-conservative schemes of nonlinear evolution equations, taking one-dimensional shallow water wave equation as an example, the necessary conditions of computational stability are given. Based on the numerical tests, the relationship between the nonlinear computational stability, the construction of difference schemes, and the form of initial values is further discussed. It is proved through theoretical analysis and numerical tests that if the construction of difference schemes is definite, the computational stability of non-conservative schemes is decided to the form of initial values.

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    Дата последней модификации: 06-Jul-2012 (11:52:46)