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Sobolev方程基于POD的降阶外推差分算法

罗振东 张博

罗振东, 张博. Sobolev方程基于POD的降阶外推差分算法[J]. 应用数学和力学, 2016, 37(1): 107-116. doi: 10.3879/j.issn.1000-0887.2016.01.009
引用本文: 罗振东, 张博. Sobolev方程基于POD的降阶外推差分算法[J]. 应用数学和力学, 2016, 37(1): 107-116. doi: 10.3879/j.issn.1000-0887.2016.01.009
LUO Zhen-dong, ZHANG Bo. A Reduced-Order Extrapolating Finite Difference Algorithm Based on the POD Method for Sobolev Equations[J]. Applied Mathematics and Mechanics, 2016, 37(1): 107-116. doi: 10.3879/j.issn.1000-0887.2016.01.009
Citation: LUO Zhen-dong, ZHANG Bo. A Reduced-Order Extrapolating Finite Difference Algorithm Based on the POD Method for Sobolev Equations[J]. Applied Mathematics and Mechanics, 2016, 37(1): 107-116. doi: 10.3879/j.issn.1000-0887.2016.01.009

Sobolev方程基于POD的降阶外推差分算法

doi: 10.3879/j.issn.1000-0887.2016.01.009
基金项目: 国家自然科学基金(11271127)
详细信息
    作者简介:

    罗振东(1958—), 男, 教授,博士, 博士生导师(通讯作者. E-mail: zhdluo@ncepu.edu.cn).

  • 中图分类号: O242.21

A Reduced-Order Extrapolating Finite Difference Algorithm Based on the POD Method for Sobolev Equations

Funds: The National Natural Science Foundation of China (11271127)
  • 摘要: 用奇异值分解和特征投影分解(proper orthogonal decomposition, 简记POD)方法建立Sobolev方程的一种降阶外推有限差分算法, 并给出误差估计.最后用数值例子,验证基于POD方法降阶外推有限差分算法的可行性和有效性.
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出版历程
  • 收稿日期:  2015-11-02
  • 修回日期:  2015-11-11
  • 刊出日期:  2016-01-16

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