We apply the filter technique to the model-based derivative-free trust region algorithm for solving nonlinear equations and nonlinear least-squares *** the work of Zhang et al.[SIAM ***.,20(2010),pp.3555-3576],we cons...
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We apply the filter technique to the model-based derivative-free trust region algorithm for solving nonlinear equations and nonlinear least-squares *** the work of Zhang et al.[SIAM ***.,20(2010),pp.3555-3576],we consider building the individual interpolation model for each component function in the nonlinear equations.A multidimensional filter,which is a list of n-tuples,is designed to potentially accept the trial point as the new iterate more *** far as we know,this is the first work to embed the filter mechanism into the model-based derivative-free *** suitable conditions,we establish the liminf-type and lim-type first-order global convergence results of the *** experiments show that the new algorithm is efficient.
全新世气候变化模拟对了解气候变化的特征和驱动机制具有重要意义。而利用地球系统模式CESM对全新世气候进行瞬变模拟的研究至今还是空白。同时前人只考虑地球轨道参数、温室气体、大陆冰盖、融水这4种外强迫因子作用的模拟结果和集成重建的全新世全球年平均温度的变化呈相反的趋势,尤其是在5.00~0.15 ka B.P.时段差异最为显著,被称为全新世"温度悖论",至于其原因至今尚无定论。因此,文章利用CESM1.0.3,并考虑更全面的外强迫(地球轨道参数、太阳辐射、火山喷发、温室气体、土地利用/土地覆被)对全新世气候变化进行瞬变模拟。基于本文模拟结果分析发现全强迫试验模拟的全球范围合成年平均温度与Marcott等(2013)集成重建的全球年平均温度在5.00~0.15 ka B.P.时段的变化趋势基本一致,均下降0.50℃左右,有效地化解了5.00~0.15 ka B.P.时段的"温度悖论"。研究还发现,此降温趋势主要是由火山喷发外强迫作用导致的,在此时段火山喷发外强迫导致了0.86℃的降温效应,温室气体强迫作用导致0.38℃的升温趋势,而其他外强迫的贡献较小,合计约为-0.02℃。5.00~0.15 ka B.P.时段火山喷发导致降温趋势的原因在于连续增强的火山气溶胶改变了地表辐射平衡,使得地表接收的太阳辐射减少和射出长波辐射增加。
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