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A Comparative Study of Conservative and Nonconservative Schemes


doi: 10.1007/BF02915406

  • For the conservative and non-conservative schemes of nonlinear evolution equations, by taking thetwo-dimensional shallow water wave equations as an example, a comparative analysis on computationalstability is carried out. The relationship between the nonlinear computational stability, the structure ofthe difference schemes, and the form of initial values is also discussed.
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Manuscript History

Manuscript received: 10 September 2003
Manuscript revised: 10 September 2003
通讯作者: 陈斌, bchen63@163.com
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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A Comparative Study of Conservative and Nonconservative Schemes

  • 1. LASG, Institute of Atmospheric Physics, Chinese Academy of Science, Beijing 100029,Agricultural College, Xinjiang Agricultural University, Urumqi 830052,School of Computer Science and Engineering, Sichuan University, Chengdu 610064

Abstract: For the conservative and non-conservative schemes of nonlinear evolution equations, by taking thetwo-dimensional shallow water wave equations as an example, a comparative analysis on computationalstability is carried out. The relationship between the nonlinear computational stability, the structure ofthe difference schemes, and the form of initial values is also discussed.

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