物理学报2012,Vol.61Issue(11):100-107,8.
厄尔尼诺和南方涛动海气耦合模型中参数估计的变分方法
Estimating parameters for coupled air-sea model with variational method
摘要
Abstract
In this paper a method is presented to estimate the unknown parameters of nonlinear E1 Nino/La Nino-Southern Oscillation model based on the variational principle.Firstly,the equation of the coupled air-sea model is included into the objective functional.Secondly, the formulas of the adjoint equation and the functional gradient for unknown parameters are derived using the variational method. Finally,the algorithm to estimate unknown parameters of air-sea oscillator system is designed according to the above formulas.The numerical simulation results show that the proposed method is very effective and feasible to estimate the unknown parameters of nonlinear air-sea coupled dynamical system.关键词
海气耦合模型/参数估计/极限环/变分方法Key words
air-sea coupled model/parameter estimation/limit cycle/variational method分类
数理科学引用本文复制引用
宋君强,曹小群,张卫民,朱小谦..厄尔尼诺和南方涛动海气耦合模型中参数估计的变分方法[J].物理学报,2012,61(11):100-107,8.基金项目
国家自然科学基金(批准号:41105063,61070041)资助的课题. ()