A Comparative Analysis of the Computational Stability for the Difference Schemes of Linear and Non-Linear Evolution Equations
发展方程计算稳定性的比较分析

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.