《Advances in Applied Mathematics and Mechanics》

作品数：600被引量：194H指数：4
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《Advances in Applied Mathematics and Mechanics》
主办单位：湘潭大学
最新期次：2024年1期更多>>
发文主题：LATTICE_BOLTZMANN_METHODMETHODFINITE_ELEMENT_METHODNONLINEARSOLVING更多>>
发文领域：理学自动化与计算机技术金属学及工艺医药卫生更多>>
发文基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>
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Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations被引量：1
《Advances in Applied Mathematics and Mechanics》2015年第1期74-88,共15页Yin Yang Yanping Chen Yunqing Huang Wei Yang 
supported by National Science Foundation of China(11301446,11271145);Foundation for Talent Introduction of Guangdong Provincial University,Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009);the Project of Department of Education of Guangdong Province(2012KJCX0036);China Postdoctoral Science FoundationGrant(2013M531789);Project of Scientific Research Fund ofHunan Provincial Science and Technology Department(2013RS4057);the Research Foundation of Hunan Provincial Education Department(13B116).
A Legendre-collocation method is proposed to solve the nonlinear Volterra integral equations of the second kind.We provide a rigorous error analysis for the proposed method,which indicate that the numerical errors in ...
关键词：Spectral method NONLINEAR Volterra integral equations 
Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods被引量：1
《Advances in Applied Mathematics and Mechanics》2014年第2期203-219,共17页Luoping Chen Yanping Chen 
National Science Foundation of China(11271145);Foundation for Talent Introduction of Guangdong Provincial University,Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009);the Project of Department of Education of Guangdong Province(2012KJCX0036).
In this paper,we study an efficient scheme for nonlinear reaction-diffusion equations discretized by mixed finite element methods.We mainly concern the case when pressure coefficients and source terms are nonlinear.To...
关键词：Two-grid method reaction-diffusion equations mixed finite element methods. 
A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay被引量：1
《Advances in Applied Mathematics and Mechanics》2013年第2期131-145,共15页Weishan Zheng Yanping Chen 
This work is supported by National Science Foundation of China(11271145);Foundation for Talent Introduction of Guangdong Provincial University,Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009);the Project of Department of Education of Guangdong Province(2012KJCX0036).
In this paper,a Legendre-collocation spectral method is developed for the second order Volterra integro-differential equation with pantograph delay.We provide a rigorous error analysis for the proposed method.The spec...
关键词：Legendre-spectral method second order Volterra integro-differential equation pantograph delay error analysis 
Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity
《Advances in Applied Mathematics and Mechanics》2012年第6期751-768,共18页Yanping Chen Tianliang Hou Weishan Zheng 
This work is supported by National Science Foundation of China,Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008);Specialized Research Fund for the Doctoral Program of Higher Education(20114407110009).
In this paper,we investigate the error estimates and superconvergence property of mixed finite element methods for elliptic optimal control problems.The state and co-state are approximated by the lowest order Raviart-...
关键词：Elliptic equations optimal control problems SUPERCONVERGENCE error estimates mixed finite element methods 
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