基于POD方法具有Poisson跳随机种群系统的数值解讨论  

Numerical Simulations Based on POD for Stochastic Age-dependent Population with Poisson Jumps

作　　者：石秀明[1] 张启敏[1,2] 李西宁[2] 

机构地区：[1]北方民族大学数学与信息科学学院,银川750021 [2]宁夏大学数学与计算机学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2014年第2期7-15,共9页Journal of Henan Normal University(Natural Science Edition)

基　　金：宁夏回族自治区自然科学基金(NZ13051)

摘　　要：将特征正交分解(Proper Orthogonal Decomposition,简记为POD)法应用于一类带Poisson跳的随机种群系统,使其成为一个具有较低维数和较高精度的有限元格式.并给出简化的有限元解误差分析,通过算例进一步验证了随机种群系统的POD FE(Finite Element,简记为FE)方法是可行和有效的.A proper orthogonal decomposition （POD）method with Possion jumps is applied to a usual finite element （FE） formulation for stochastic age-dependent population system such that with poisson jumps it is reduced into a reduced FE formulation with lower dimensions and high enough accuracy. Numerical examples show that the error estimates between the reduced POD FE solutions and the usual FE solutions and the theoretical conclusions results. Moreover, it also shows that this validates the feasibility and efficiency of POD FE method.

关 键 词：POISSON跳 随机种群系统 有限元格式 特征正交分解法 ITO公式 

分 类 号：O175.7[理学—数学]