Making use of the theory of continuous homotopy and the relation betweensymmetric polynomtal and polynomtal in one variable the arthors devoted ims article to constructing a regularly homotopic curve with probability ...Making use of the theory of continuous homotopy and the relation betweensymmetric polynomtal and polynomtal in one variable the arthors devoted ims article to constructing a regularly homotopic curve with probability one. Discrete tracingalong this honlotopic curve leads 10 a class of Durand-Kerner algorithm with stepparameters. The convergernce of this class of algorithms is given, which solves theconjecture about the global property of Durand-Kerner algorithm. The.problem forsteplength selection is thoroughly discussed Finally, sufficient numerical examples areused to verify our theory展开更多
涡动相关法的不足是导致地表能量不平衡的重要原因。本文对文献中提出的能显著提升涡动相关法计算精度,并能使地表能量实现平衡的大涡平均法与Durand法展开研究,在白天通过5组试验对比研究了两者的异同、综合效应与改进方法。结果发现:...涡动相关法的不足是导致地表能量不平衡的重要原因。本文对文献中提出的能显著提升涡动相关法计算精度,并能使地表能量实现平衡的大涡平均法与Durand法展开研究,在白天通过5组试验对比研究了两者的异同、综合效应与改进方法。结果发现:(1)白天地表能量闭合水平与序列长度有一定关系,序列长度过长,闭合水平变差;过短,闭合水平则不一致,两者之间存在一个转折点。在此转折点长度上,闭合水平可达最优。(2)原始的能量闭合率(Energy balance ratio,简称EBR)为0.80,能量残差(Residual,简称Res)为64.9 W m^(-2),占可用能量的23.8%,远未平衡。(3)考虑大涡平均法后,EBR提高了0.18,达到0.98,Res降低到可用能量的5.3%(14.5 W m^(-2)),达到平衡。(4)考虑Durand法后,EBR提高了0.15,达到0.95,Res降低到25.1 W m^(-2),占可用能量的9.2%,效果逊于大涡平均法。(5)既考虑大涡平均法、又考虑Durand法后,EBR提高到1.17,Res降低到-35.1 W m^(-2),严重过闭合。分析发现,严重过闭合的原因是Durand法的感热附加项在白天过度累加了气体膨胀做功项所致。(6)去除Durand法的感热附加项这一累加部分,只考虑其潜热附加项,并同时考虑大涡平均法,结果可使EBR达到1.0,Res降低到只占可用能量3.2%(8.7 W m^(-2))的理想闭合状况。分析发现,大涡平均法是实现地表能量闭合的主导因素。展开更多
Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) p...Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) produced by （2） from (x10,x20,…,xn（0）) usually cannot be testified because （r1, r2,…,rn） is unknown. The purpose of this paper is to give sufficient conditions for testifying the convergence.展开更多
In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Kerner method and to compare the obtained results with other methods. [ABSTRACT FROM AUTHOR]
文摘Making use of the theory of continuous homotopy and the relation betweensymmetric polynomtal and polynomtal in one variable the arthors devoted ims article to constructing a regularly homotopic curve with probability one. Discrete tracingalong this honlotopic curve leads 10 a class of Durand-Kerner algorithm with stepparameters. The convergernce of this class of algorithms is given, which solves theconjecture about the global property of Durand-Kerner algorithm. The.problem forsteplength selection is thoroughly discussed Finally, sufficient numerical examples areused to verify our theory
文摘涡动相关法的不足是导致地表能量不平衡的重要原因。本文对文献中提出的能显著提升涡动相关法计算精度,并能使地表能量实现平衡的大涡平均法与Durand法展开研究,在白天通过5组试验对比研究了两者的异同、综合效应与改进方法。结果发现:(1)白天地表能量闭合水平与序列长度有一定关系,序列长度过长,闭合水平变差;过短,闭合水平则不一致,两者之间存在一个转折点。在此转折点长度上,闭合水平可达最优。(2)原始的能量闭合率(Energy balance ratio,简称EBR)为0.80,能量残差(Residual,简称Res)为64.9 W m^(-2),占可用能量的23.8%,远未平衡。(3)考虑大涡平均法后,EBR提高了0.18,达到0.98,Res降低到可用能量的5.3%(14.5 W m^(-2)),达到平衡。(4)考虑Durand法后,EBR提高了0.15,达到0.95,Res降低到25.1 W m^(-2),占可用能量的9.2%,效果逊于大涡平均法。(5)既考虑大涡平均法、又考虑Durand法后,EBR提高到1.17,Res降低到-35.1 W m^(-2),严重过闭合。分析发现,严重过闭合的原因是Durand法的感热附加项在白天过度累加了气体膨胀做功项所致。(6)去除Durand法的感热附加项这一累加部分,只考虑其潜热附加项,并同时考虑大涡平均法,结果可使EBR达到1.0,Res降低到只占可用能量3.2%(8.7 W m^(-2))的理想闭合状况。分析发现,大涡平均法是实现地表能量闭合的主导因素。
文摘Kerner pointed that the sequence (x1m,x2m,…xnm)converges to （r1,r2,…rn）（m→∞）if the initial approximation (x10, x20, …, xn（0）) is close to （r1, r2,…rn） sufficiently. The convergence of(x1m, x2m,…, xnm) produced by （2） from (x10,x20,…,xn（0）) usually cannot be testified because （r1, r2,…,rn） is unknown. The purpose of this paper is to give sufficient conditions for testifying the convergence.
基金National 973 Fundamental Research Project of China and Provincial NaturalScience Foundation.
文摘In this paper we propose the two kinds of different criterions and use them to judge the convergence of Durand-Kerner method and to compare the obtained results with other methods. [ABSTRACT FROM AUTHOR]
