基本信息
周爱辉  男  博导  中国科学院数学与系统科学研究院
email: azhou@lsec.cc.ac.cn
address: 中国科学院数学与系统科学研究院计算数学与科学工程计算研究所
postalCode: 100190

招生信息

   
招生专业
070102-计算数学
070104-应用数学
招生方向
微分方程数值解
材料计算

教育背景

1988-09--1991-02   中国科学院系统科学研究所   博士
1983-09--1986-07   湘潭大学   硕士
1979-09--1983-07   湘潭大学   学士

工作经历

   
工作简历
1988-09~1991-02,中国科学院系统科学研究所, 博士
1983-09~1986-07,湘潭大学, 硕士
1979-09~1983-07,湘潭大学, 学士
社会兼职
2020-01-01-2023-12-31,中国数学会, 副理事长
2016-07-31-2021-12-31,中国工业与应用数学学会, 副理事长

教授课程

数值分析
数值逼近
算子迭代分析
电子结构的数学模型

出版信息

   
发表论文
(1) Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals, Numer. Math. Theor. Meth. Appl., 2022, 第 3 作者
(2) Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 通讯作者
(3) Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems, COMPUTATIONAL MATERIALS SCIENCE, 2021, 第 2 作者
(4) Layer-splitting Methods for Time-dependent Schroeding Equations of Incommensurate Systems, Communication in Computational Physics, 2021, 第 1 作者
(5) A parallel orbital-updating based optimization method for electronic structure calculations, JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 第 4 作者
(6) Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations, JOURNAL OF SCIENTIFIC COMPUTING, 2020, 第 4 作者
(7) GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL, MULTISCALE MODELING & SIMULATION, 2020, 第 3 作者
(8) First-principles investigation of monatomic gold wires under tension, COMPUTATIONAL MATERIALS SCIENCE, 2020, 第 5 作者
(9) Plane wave methods for quantum eigenvalue problems of incommensurate systems, JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 第 3 作者
(10) A mathematical aspect of Hohenberg-Kohn theorem, SCIENCE CHINA-MATHEMATICS, 2019, 通讯作者
(11) 科学与工程计算的方法和应用———基于国家自然科学基金创新研究群体项目研究成果的综述, Methods and applications of scientific and engineering computing, 中国科学基金, 2018, 第 7 作者
(12) A parallel orbital-updating based plane-wave basis method for electronic structure calculations, JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 第 6 作者
(13) A CONJUGATE GRADIENT METHOD FOR ELECTRONIC STRUCTURE CALCULATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 第 4 作者
(14) 半线性椭圆问题的自适应有限元分析, 中国科学数学, 2016, 第 2 作者
(15) A singularity-based eigenfunction decomposition for Kohn-Sham equations, SCIENCE CHINA-MATHEMATICS, 2016, 通讯作者
(16) Accelerating large partial EVD/SVD calculations by filtered block Davidson methods, SCIENCE CHINA-MATHEMATICS, 2016, 第 3 作者
(17) 第一原理实空间并行自适应计算程序设计原理, 中国科学信息科学, 2016, 第 2 作者
(18) 电子结构模型与计算的若干数学问题, 中国科学数学, 2015, 第 1 作者
(19) 电子结构模型与计算的若干数学问题 献给林群教授80华诞, 中国科学:数学, 2015, 第 1 作者
(20) Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues, IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 第 3 作者
(21) 电子结构计算的有限元方法, 中国科学化学, 2015, 第 2 作者
(22) On the "Preconditioning" Function Used in Planewave DFT Calculations and its Generalization, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 第 4 作者
(23) Accuracy of generalized gradient approximation functionals for density-functional perturbation theory calculations, PHYSICAL REVIEW B, 2014, 第 9 作者
(24) GRADIENT TYPE OPTIMIZATION METHODS FOR ELECTRONIC STRUCTURE CALCULATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2014, 第 4 作者
(25) ADAPTIVE FINITE ELEMENT APPROXIMATIONS FOR KOHN-SHAM MODELS, MULTISCALE MODELING & SIMULATION, 2014, 第 5 作者
(26) Numerical analysis of finite dimensional approximations of Kohn-Sham models, ADVANCES IN COMPUTATIONAL MATHEMATICS, 2013, 通讯作者
(27) A Symmetry-Based Decomposition Approach to Eigenvalue Problems, JOURNAL OF SCIENTIFIC COMPUTING, 2013, 通讯作者
(28) Finite Element Computation of KPP Front Speeds in Cellular and Cat's Eye Flows, JOURNAL OF SCIENTIFIC COMPUTING, 2013, 第 3 作者
(29) A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations, JOURNAL OF SCIENTIFIC COMPUTING, 2013, 通讯作者
(30) ADAPTIVE FINITE ELEMENT ANALYSIS BASED ON PERTURBATION ARGUMENTS, APPLICATIONS OF MATHEMATICS 2012, 2012, 第 3 作者
(31) A Kohn–Sham equation solver based on hexahedral finite elements, JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 第 3 作者
(32) Hohenberg-Kohn theorem for Coulomb type systems and its generalization, JOURNAL OF MATHEMATICAL CHEMISTRY, 2012, 通讯作者
(33) POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 第 3 作者
(34) Interpolation Based Local Postprocessing for Adaptive Finite Element Approximations in Electronic Structure Calculations, DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XIX, 2011, 第 4 作者
(35) A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings, JOURNAL OF STATISTICAL PHYSICS, 2011, 第 4 作者
(36) CONVERGENCE AND COMPLEXITY OF ADAPTIVE FINITE ELEMENT METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2011, 第 2 作者
(37) TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR INTEGRODIFFERENTIAL EQUATIONS, JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 第 5 作者
(38) FINITE VOLUME DISCRETIZATIONS FOR EIGENVALUE PROBLEMS WITH APPLICATIONS TO ELECTRONIC STRUCTURE CALCULATIONS, MULTISCALE MODELING & SIMULATION, 2011, 第 5 作者
(39) Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics, ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2011, 通讯作者
(40) Finite element approximations of nonlinear eigenvalue problems in quantum physics, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 通讯作者
(41) MULTI-LEVEL ADAPTIVE CORRECTIONS IN FINITE DIMENSIONAL APPROXIMATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 通讯作者
(42) TWO-SCALE FINITE ELEMENT GREEN'S FUNCTION APPROXIMATIONS WITH APPLICATIONS TO ELECTROSTATIC POTENTIAL COMPUTATION, TWO-SCALE FINITE ELEMENT GREEN'S FUNCTION APPROXIMATIONS WITH APPLICATIONS TO ELECTROSTATIC POTENTIAL COMPUTATION, 系统科学与复杂性:英文版, 2010, 第 2 作者
(43) Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 通讯作者
(44) MULTI-LEVEL ADAPTIVE CORRECTIONS IN FINITE DIMENSIONAL APPROXIMATIONS, MULTI-LEVEL ADAPTIVE CORRECTIONS IN FINITE DIMENSIONAL APPROXIMATIONS, 计算数学:英文版, 2010, 第 1 作者
(45) Two-scale finite element Green's function approximations with applications to electrostatic potential computation, JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 第 2 作者
(46) TWO-SCALE FINITE ELEMENT GREEN'S FUNCTION APPROXIMATIONS WITH APPLICATIONS TO ELECTROSTATIC POTENTIAL COMPUTATION, TWO-SCALE FINITE ELEMENT GREEN'S FUNCTION APPROXIMATIONS WITH APPLICATIONS TO ELECTROSTATIC POTENTIAL COMPUTATION, 系统科学与复杂性:英文版, 2010, 第 2 作者
(47) THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS, APPLICATIONS OF MATHEMATICS, 2009, 第 5 作者
(48) A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHROEDINGER EQUATION, A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHROEDINGER EQUATION, 计算数学:英文版, 2009, 第 3 作者
(49) A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 通讯作者
(50) A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions, IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 第 4 作者
(51) A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 第 3 作者
(52) FINITE ELEMENT APPROXIMATIONS FOR SCHROEDINGER EQUATIONS WITH APPLICATIONS TO ELECTRONIC STRUCTURE COMPUTATIONS, FINITE ELEMENT APPROXIMATIONS FOR SCHROEDINGER EQUATIONS WITH APPLICATIONS TO ELECTRONIC STRUCTURE COMPUTATIONS, 计算数学:英文版, 2008, 第 4 作者
(53) Three-scale finite element discretizations for quantum eigenvalue problems, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 第 2 作者
(54) Convergence and optimal complexity of adaptive finite element eigenvalue computations, NUMERISCHE MATHEMATIK, 2008, 第 3 作者
(55) Parallel Mesh Refinement of Higher Order Finite Elements for Electronic Structure Calculations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2008, 第 2 作者
(56) Local and parallel finite element algorithms for the Stokes problem, NUMERISCHE MATHEMATIK, 2008, 第 3 作者
(57) FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS, MULTISCALE MODELING & SIMULATION, 2008, 第 3 作者
(58) FINITE ELEMENT APPROXIMATIONS FOR SCHR(O)DINGER EQUATIONS WITH APPLICATIONS TO ELECTRONIC STRUCTURE COMPUTATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 第 4 作者
(59) Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh, PHYSICS LETTERS A, 2008, 第 3 作者
(60) Characteristic polynomials of some perturbed matrices, APPLIED MATHEMATICS AND COMPUTATION, 2008, 第 2 作者
(61) A spectrum theorem for perturbed bounded linear operators, APPLIED MATHEMATICS AND COMPUTATION, 2008, 第 2 作者
(62) Orbital-Free Density Functional Theory for Molecular Structure Calculations, NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 通讯作者
(63) Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 第 3 作者
(64) Orbital-Free Density Functional Theory for Molecular Structure Calculations, Orbital-Free Density Functional Theory for Molecular Structure Calculations, 高等学校计算数学学报:英文版, 2008, 第 2 作者
(65) Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 第 2 作者
(66) Finite dimensional approximations for the electronic ground state solution of a molecular system, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 通讯作者
(67) 特征值问题的davidson型方法及其实现技术, 数值计算与计算机应用, 2006, 第 3 作者
(68) Two-scale finite element discretizations for partial differential equations, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 第 2 作者
(69) superconvergenceofthemortarfiniteelementapproximationtoaparabolicproblem, systemsscienceandmathematicalscience, 1999, 第 1 作者
(70) 不变测试及其计算, 数学进展, 1998, 第 2 作者
(71) amultiparametersplittingextrapolationandaparallelalgorithm, systemsscienceandmathematicalscience, 1997, 第 2 作者
(72) 间断Galerkin方法的最优误差限, 工程数学学报, 1996, 第 2 作者
(73) Stokes问题的一种新的混合有限元逼近, 系统科学与数学, 1995, 第 2 作者
(74) parallelcomputationanddomaindecompositionforaclassofhyperbolicproblems, systemsscienceandmathematicalscience, 1995, 第 2 作者
(75) Optimal and superconvergence estimates of the finite element method for a scalar hyperbolic equation, ACTA MATHEMATICA SCIENTIA, 1994, 
(76) Convergence of the discontinuous Galerkin method for a scalar hyperbolic equation, ACTA MATHEMATICA SCIENTIA, 1993, 
(77) Streamline diffusion methods for operator equations, JOURNAL OF COMPUTATIONAL MATHEMATICS, 1993, 
(78) 关于“解定常Stokes问题混合网格有限元”一文的注记, 高等学校计算数学学报, 1992, 第 1 作者
(79) 局部凸函数空间内的Немыцкий算子的连续性和有界性, 数学物理学报:A辑, 1992, 第 1 作者
发表著作
Finite Element Methods for Eigenvalue Problems, CRC, 2017-07, 第 2 作者

科研活动

   
科研项目
( 1 ) 非线性特征值问题的计算方法, 负责人, 国家任务, 2014-01--2017-12
( 2 ) 第一原理电子结构计算的方法与理论, 负责人, 中国科学院计划, 2016-08--2020-12
( 3 ) 非线性特征值计算的方法与应用, 负责人, 国家任务, 2018-01--2019-12
( 4 ) 第一原理电子结构计算方法研究, 负责人, 国家任务, 2018-11--2020-10
( 5 ) 集成电路设计中的新型计算方法及数学理论, 负责人, 国家任务, 2020-06--2023-05
( 6 ) 最优化计算方法、理论及其应用, 参与, 国家任务, 2021-01--2025-12
参与会议
(1)The Unique Continuation Principle and Hohenberg-Kohn Theorem   2018-03-18
(2)A Conjugate Gradient Method for Electronic Structure Calculations   2017-12-04
(3)Adaptive Finite Element Approximations for Density Functional Models   2017-05-02