摘要
非线性计算稳定性是计算数学、计算物理（计算力学）中的一个重要问题。本文以一维非线性对流方程为模型，给出瞬时（半离散）差分格式和leap－frog型差分格式的非线性计算不稳定的若干例子，用定性分析和数值实验两种方法对比地进行讨论、分析，总结出若干易出现非线性计算不稳定的情况。
The stability of nonlinear computation is important in Mathematics and computing Physics (Computing Mechanic). In this paped, by using a one-dimensional nonlinear convection equation asa model, with some numerical examples of semi-difference and leap-frog full difference schemes, theanalysis for stability of nonlinear computation is carried out qualitatively for several nonlinear differenceschemes. The nature of nonlinear compuation instability is discussed.
出处
《华北电力大学学报（自然科学版）》
CAS
北大核心
1999年第3期79-83,共5页
Journal of North China Electric Power University：Natural Science Edition
关键词
传热
传质
非线性
计算不稳定
数值模拟
nonlinear computation stability, semi-difference shceme, leap-frog difference schemequalitative analysis, numerical example
