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Nelder-Mead单纯形算法改进及在气象上的应用

张正秋

张正秋. Nelder-Mead单纯形算法改进及在气象上的应用. 应用气象学报, 2011, 22(5): 584-589.
引用本文: 张正秋. Nelder-Mead单纯形算法改进及在气象上的应用. 应用气象学报, 2011, 22(5): 584-589.
Zhang Zhengqiu. Improvement on the Nelder-Mead simplex algorithm and its application to meteorology. J Appl Meteor Sci, 2011, 22(5): 584-589.
Citation: Zhang Zhengqiu. Improvement on the Nelder-Mead simplex algorithm and its application to meteorology. J Appl Meteor Sci, 2011, 22(5): 584-589.

Nelder-Mead单纯形算法改进及在气象上的应用

详细信息
    通信作者:

    张正秋, E-mail:zqzhang@cams.cma.gov.cn

Improvement on the Nelder-Mead Simplex Algorithm and Its Application to Meteorology

  • 摘要: Nelder-Mead Simplex (NMS) 算法是一种查找多元函数局地最小值的无微分算法,在现代科学计算中得到广泛应用,该文提出了一种对NMS算法的改进方法。改进后,大大简化了其计算过程,提高了该算法的收敛速度。利用改进后的算法对陆面过程参数进行了拟合计算,结果表明:改进的NMS算法对非线性公式具有非常高的拟合精度,可将其应用于气象学上非线性问题计算或非线性方程组求解。
  • 图  1  改进的NMS下山方向设置示意图

    Fig. 1  Searching direction setting for the improved NMS

    图  2  阔叶林近地面参数曲线拟合结果

    (a) 零平面位移D0, (b) 空气动力阻力Rd

    Fig. 2  Simulations on the variations of ground parameters for the broad leaf tree

    (a) zero plane displacement D0, (b) aerodynamic resistance Rd

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出版历程
  • 收稿日期:  2010-10-09
  • 修回日期:  2011-05-20
  • 刊出日期:  2011-10-31

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