发展方程计算稳定性的比较分析

A Comparative Analysis of the Computational Stability for the Difference Schemes of Linear and Non-Linear Evolution Equations

针对线性与非线性发展方程的几种差分格式，以一维线性和非线性平流方程为例，对线性与非线性发展方程差分格式的计算稳定性进行了比较分析，揭示了差分格式结构和初值形式与非线性计算稳定性的关系。

For several difference schemes of linear and non-linear evolution equations, taking one-dimensional linear and non-linear advection equation as examples, a comparative analysis for computational stability is carried out. It is discussed for the relationship between non-linear computational stability, the construction of difference scheme and the form of initial value.