...光使用龙格-库塔法,这种混合使用的方法会不会更容易造成数值涨落(Numeric Fluctuation)或者说是数值不稳定(Numeric Instability) 参考答案: (评分: 0 /5)
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The new filtering algorithm is easy to implement and has a good universality,which can solve numerical instabilities well and obtain good results of the optimization.
为消除数值不稳定,研究了密度和敏度混合高斯函数过滤算法,该算法能有效解决棋盘格式及网格依赖等数值不稳定问题,并能获得良好的优化结果。
参考来源 - 面向制造的连续体结构拓扑优化设计方法研究·2,447,543篇论文数据，部分数据来源于NoteExpress
因此，巴比伦的方法是数值稳定的，而方法X是数值不稳定。
Hence, the Babylonian method is numerically stable, while method X is numerically unstable.
对于高q引起的数值不稳定性，通过引入平滑函数得以解决。
A smooth function has been introduced to solve the problem of instability caused by high value of Q.
从偏微分方程反问题的角度解释了结构拓扑优化中棋盘格式、网格依赖性等数值不稳定现象的本质。
Form the point view of inverse PDE, the essence of numerical instabilities in the topology optimization is given, including checkerboard pattern and mesh-dependence.
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