科研之友
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摘要
We derive in this paper a numerical scheme in order to calculate solutions of 1D transport equations. This 2nd-order scheme is based on the method of characteristics and consists of two steps: the first step is about the approximation of the foot of the characteristic curve whereas the second one deals with the computation of the solution at this point. The main idea in our scheme is to combine two 2nd-order interpolation schemes so as to preserve the maximum principle. The resulting method is designed for classical solutions and is unconditionally stable.
- 出版日期2012-6
- 单位中国地震局
