国家自然科学基金(11001033)

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An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation被引量：1
《Communications in Computational Physics》2015年第1期127-145,共19页Jie Zhou Long Chen Yunqing Huang Wansheng Wang 
The research of J.Zhou was supported by Graduate innovation program of Hunan province in China(Grant No.CX2012B240);China Scholarship Council and Natural Science Foundation of China(Grant No.11201159);L.Chen was supported by NSF Grant DMS-1115961,and in part by Department of Energy prime award#DE-SC0006903;The research of Y.Q.Huang was partially supported by the National Natural Science Foundation of China(Grant No.91430213);Program for Changjiang Scholars and Innovative Research Team in University(Grant No.IRT1179);International Science and Technology Cooperation Program of China(Grant No.2010DFR00700);The research of W.S.Wang was supported by Ky and Yu-Fen Fan Fund Travel Grant from the AMS,the National Natural Science Foundation of China(Grant No.11001033,11371074);the Natural Science Foundation for Distinguished Young scholars in Hunan Province,China(Grant No.13JJ1020);the Research Foundation of Education Bureau of Hunan Province,China(Grant No.13A108).
A two-grid method for solving the Cahn-Hilliard equation is proposed in this paper.This two-grid method consists of two steps.First,solve the Cahn-Hilliard equation with an implicit mixed finite element method on a co...
关键词：Cahn-Hilliard equation two-grid adaptivity mixed method MULTIGRID 
非线性中立型泛函微分方程Runge-Kutta法的稳定性和收敛性
《中国科学：数学》2013年第7期709-726,共18页王晚生 孙瑞 
国家自然科学基金(批准号:11001033和11171282);湖南省自然科学基金杰出青年项目(批准号:13JJ1020);中国电机工程学会电力青年科技创新项目;湖南省金融工程与管理中心课题资助项目
本文涉及Runge-Kutta法变步长求解非线性中立型泛函微分方程(NFDEs)的稳定性和收敛性.为此,基于Volterra泛函微分方程Runge-Kutta方法的B-理论,引入了中立型泛函微分方程Runge-Kutta方法的EB(expanded B-theory)-稳定性和EB-收敛性概念...
关键词：非线性中立型泛函微分方程 Runge—Kutta方法 稳定性 代数稳定性 收敛性 
PARAMETER IDENTIFICATION IN FRACTIONAL DIFFERENTIAL EQUATIONS被引量：2
《Acta Mathematica Scientia》2013年第3期855-864,共10页李景 郭柏灵 
supported by the National Natural Science Foundation of China (11226166 and 11001033);Scientific Research Fund of Hunan Provinical Education (11C0052)
This article investigates the fractional derivative order identification, the coefficient identification, and the source identification in the fractional diffusion problems. If 1 〈 α〈 2, we prove the unique determi...
关键词：Fractional differential equation inverse problems parameter identification 
Contractivity and Exponential Stability of Solutions to Nonlinear Neutral Functional Differential Equations in Banach Spaces被引量：1
《Acta Mathematicae Applicatae Sinica》2012年第2期289-304,共16页Wan-sheng WANG Shou-fuLI Run-sheng YANG 
Supported by the National Natural Science Foundation of China (No. 11001033);Natural Science Foundation of Hunan Province (No. 10JJ4003);the Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities;the Major Foundation of Educational Committee of Hunan Province(No. 09A002 [2009]);the Scientific Innovation Foundation for the Electric Power Youth of Chinese Society for Electrical Engineering;the Science and Technology Planning Project of Hunan Province (No. 2010SK3026)
A series of eontractivity and exponential stability results for the solutions to nonlinear neutral functional differential equations （NFDEs） in Banach spaces are obtained, which provide unified theoretical foundatio...
关键词：nonlinear neutral functional differential equations CONTRACTIVITY exponential stability~ Banachspaces 
Stability Analysis of Runge-Kutta Methods for Nonlinear Neutral Volterra Delay-Integro-Differential Equations
《Numerical Mathematics(Theory,Methods and Applications)》2011年第4期537-561,共25页Wansheng Wang Dongfang Li 
supported by NSF of China(Grant No.11001033);Natural Science Foundation of Hunan Province(Grant No.10JJ4003);Chinese Society for Electrical Engineering,and Graduates’innovation fund of HUST(No.HF-08-02-2011-011).
This paper is concerned with the numerical stability of implicit Runge-Kutta methods for nonlinear neutral Volterra delay-integro-differential equations with constant delay.Using a Halanay inequality generalized by Li...
关键词：Neutral differential equations Volterra delay-integro-differential equations Runge-Kutta methods stability 
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