【摘要】 在欧拉-拉格朗日分裂方法的基础上,本文发展了一种固定网格上的欧拉-拉格朗日分裂方法.保形样条方法(SPSM)被用来解决倒特征线插值问题.通过求解几个有精确解的例子,说明SPSM方法的解是单调无振荡的,并且数值耗散也是比较小的.更多还原

【Abstract】 On the basis of Eulerian-Lagrangian splitting method^[1,2] with a uniform mesh has been developed in the paper. The shape-preserving spline method （SPSM） is used to find the interpolation of the back characteristics. Several examples which all have exact solutions are tested. Numerical results illustrate that the solutions of SPSM are monotonic and non-oscillating and that there is not so large numerical diffusion.更多还原