吴亭亭 - 山东师范大学 - 数学与统计学院

个人简介

个人简介吴亭亭，女，计算数学博士，副教授，硕士生导师。取得一些研究成果。在J.Comput.Phys.，J.Comput.Appl.Math.等国际期刊发表SCI收录论文10余篇。先后主持国家级科研项目1项，厅级科研项目1项。研究兴趣科学工程计算；微分方程数值解法招生方向硕士研究生招生专业：科学工程计算开设课程解析几何；高等数学；线性代数；微分方程数值解法科研项目 1.国家自然科学基金项目：基于非均匀网格的Helmholtz方程的优化差分法及其预处理迭代算法(2014.01-2016.12)主持 2.山东省高等学校科技计划项目：带随机震源的Helmholtz方程的差分法(2019.01-2021.12)主持 3.国家自然科学基金项目:奇异摄动问题有限元方法的超逼近性研究(2018.01-2021.12)参与 4.国家自然科学基金项目:状态约束分数阶最优控制问题的有限元方法(2020.01-2023.12)参与 5.山东省自然科学基金项目：无界区域上耦合非线性Schrödinger方程组的高效数值解法(2019.07-2022.06)参与 6.山东省自然科学基金项目：反常扩散最优控制问题的有限元法数值模拟(2016.11-2019.11)参与

研究领域

科学工程计算；微分方程数值解法

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

1.ZhongyingChen,TingtingWu*,HongqiYang,Anoptimal25-pointfinitedifferenceschemefortheHelmholtzequationwithPML,J.Comput.Appl.Math.236(2011)1240-1258. 2.ZhongyingChen,DongshengCheng*,WeiFeng,TingtingWuandHongqiYang,Amultigrid-basedpreconditionedKrylovsubspacemethodfortheHelmholtzequationwithPML,JournalofMathematicalAnalysisandApplications,383(2011)522-540. 3.ZhongyingChen,DongshengCheng*andTingtingWu,Adispersionminimizingfinitedifferenceschemeandpreconditionedsolverforthe3DHelmholtzequation,J.Comput.Phys.,231(2012)8152-8175. 4.ZhongyingChen,DongshengCheng,WeiFeng,andTingtingWu*,Anoptimal9-pointfinitedifferenceschemefortheHelmholtzequationwithPML,InternationalJ.NumericalAnalysisandModeling,10(2013)389-410. 5.TingtingWu*,ZhongyingChen,AdispersionminimizingsubgriddingfinitedifferenceschemefortheHelmholtzequationwithPML,JournalofComputationalandAppliedMathematics,267(2014),82-95. 6.RuiminXu*,TingtingWu,Mean-FieldBackwardStochasticEvolutionEquationsinHilbertSpacesandOptimalControlforBSPDEs,Mathematicalproblemsinengineering,2014. 7.DongshengCheng,ZhiyongLiu*,TingtingWu,Amultigrid-basedpreconditionedsolverfortheHelmholtzequationwithadiscretizationby25-pointdifferencescheme,Math.Comput.Simulat.,117(2015)54-67. 8.JianChen*,YongHuang,HaiwuRong,TingtingWu,TaishanZeng,AmultiscaleGalerkinmethodforsecond-orderboundaryvalueproblemsofFredholmintegro-differentialequation.J.Comput.Appl.Math.,290(2015)633-640. 9.TingtingWu*,ZhongyingChen,JianChen,Optimal25-pointfinite-differencesubgriddingtechniquesforthe2DHelmholtzequation.Mathematicalproblemsinengineering,2016. 10.TingtingWu*,Adispersionminimizingcompactfinitedifferenceschemeforthe2DHelmholtzequation.J.Comput.Appl.Math.,311(2017),497-512. 11.TingtingWu,RuiminXu*,Anoptimalcompactsixth-orderfinitedifferenceschemefortheHelmholtzequation.Comput.Math.Appl.,75(2018),2520–2537. 12.RuiminXu*,TingtingWu,FinitevolumemethodforsolvingthestochasticHelmholtzequation.AdvancesinDifferenceEquations,2019. 13.周鲁川，吴亭亭*,一维Helmholtz方程的优化差分法.山东师范大学学报(自然科学版)，34(2019)408-415. 14.孙煜然，朱启华，吴亭亭*，一维Helmholtz方程的四阶优化紧致差分法.山东师范大学学报(自然科学版)，已接收. 15.朱启华，孙煜然，吴亭亭*，一维带PML的Helmholtz方程的四阶差分法.山东师范大学学报(自然科学版)，已接收.