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
2017-11~2022-11,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所长
2003-06~2017-10,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副所长
1999-01~现在, 中国科学院数学与系统科学研究院, 研究员
1993-03~1998-12,中国科学院系统科学研究所, 助研、副研、研究员
1988-09~1991-02,中国科学院系统科学研究所, 博士
1986-07~1988-08,湘潭大学, 助教、讲师
1983-09~1986-07,湘潭大学, 硕士
1979-09~1983-07,湘潭大学, 学士
社会兼职
2021-01-01-今,SIAM Journal on Numerical Analysis, 编委
2019-12-30-2023-12-29,中国数学会, 副理事长
2016-07-29-2025-12-30,中国工业与应用数学学会, 副理事长
2014-07-01-2023-12-31,计算数学, 主编
2014-01-01-今,Computational Materials Science, 编委
2009-01-01-2014-12-31,SIAM Journal on Scientific Computing, 编委

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., 2023, 第 3 作者
(2) An extended plane wave framework for the electronic structure calculations of twisted bilayer material systems, COMPUTATIONAL MATERIALS SCIENCE, 2023, 第 2 作者
(3) Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems, Multiscale Modeling and Simulation, 2023, 第 4 作者
(4) 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, 第 11 作者
(5) Plane wave study on the localized-extended transition in the one-dimensional incommensurate systems, COMPUTATIONAL MATERIALS SCIENCE, 2021, 第 2 作者
(6) Layer-splitting Methods for Time-dependent Schroeding Equations of Incommensurate Systems, Communication in Computational Physics, 2021, 第 1 作者
(7) A parallel orbital-updating based optimization method for electronic structure calculations, JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 第 4 作者
(8) Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations, JOURNAL OF SCIENTIFIC COMPUTING, 2020, 第 4 作者
(9) GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL, MULTISCALE MODELING & SIMULATION, 2020, 第 3 作者
(10) First-principles investigation of monatomic gold wires under tension, COMPUTATIONALMATERIALSSCIENCE, 2020, 第 5 作者
(11) Plane wave methods for quantum eigenvalue problems of incommensurate systems, JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 第 3 作者
(12) A mathematical aspect of Hohenberg-Kohn theorem, SCIENCE CHINA-MATHEMATICS, 2019, 第 11 作者
(13) 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
(14) A parallel orbital-updating based plane-wave basis method for electronic structure calculations, JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 第 6 作者
(15) A CONJUGATE GRADIENT METHOD FOR ELECTRONIC STRUCTURE CALCULATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 第 4 作者
(16) A singularity-based eigenfunction decomposition for Kohn-Sham equations, SCIENCE CHINA-MATHEMATICS, 2016, 第 11 作者
(17) 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
(18) Accelerating large partial EVD/SVD calculations by filtered block Davidson methods, SCIENCE CHINA-MATHEMATICS, 2016, 第 3 作者
(19) 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
(20) 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
(21) 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
(22) Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues, IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 第 3 作者
(23) 电子结构计算的有限元方法, 中国科学化学, 2015, 第 2 作者
(24) On the "Preconditioning" Function Used in Planewave DFT Calculations and its Generalization, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 第 4 作者
(25) Accuracy of generalized gradient approximation functionals for density-functional perturbation theory calculations, PHYSICAL REVIEW B, 2014, 第 9 作者
(26) GRADIENT TYPE OPTIMIZATION METHODS FOR ELECTRONIC STRUCTURE CALCULATIONS, SIAMJOURNALONSCIENTIFICCOMPUTING, 2014, 第 4 作者
(27) ADAPTIVE FINITE ELEMENT APPROXIMATIONS FOR KOHN-SHAM MODELS, MULTISCALE MODELING & SIMULATION, 2014, 第 5 作者
(28) Numerical analysis of finite dimensional approximations of Kohn-Sham models, ADVANCES IN COMPUTATIONAL MATHEMATICS, 2013, 第 11 作者
(29) A Symmetry-Based Decomposition Approach to Eigenvalue Problems, JOURNAL OF SCIENTIFIC COMPUTING, 2013, 第 11 作者
(30) Finite Element Computation of KPP Front Speeds in Cellular and Cat's Eye Flows, JOURNAL OF SCIENTIFIC COMPUTING, 2013, 第 3 作者
(31) A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations, JOURNAL OF SCIENTIFIC COMPUTING, 2013, 第 11 作者
(32) A Kohn���Sham equation solver based on hexahedral finite elements, JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 第 3 作者
(33) Hohenberg-Kohn theorem for Coulomb type systems and its generalization, JOURNAL OF MATHEMATICAL CHEMISTRY, 2012, 第 11 作者
(34) ADAPTIVE FINITE ELEMENT ANALYSIS BASED ON PERTURBATION ARGUMENTS, APPLICATIONS OF MATHEMATICS 2012, 2012, 第 3 作者
(35) POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 第 3 作者
(36) 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
(37) 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
(38) 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
(39) TWO-SCALE FINITE ELEMENT DISCRETIZATIONS FOR INTEGRODIFFERENTIAL EQUATIONS, JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 第 5 作者
(40) Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics, ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2011, 第 11 作者
(41) FINITE VOLUME DISCRETIZATIONS FOR EIGENVALUE PROBLEMS WITH APPLICATIONS TO ELECTRONIC STRUCTURE CALCULATIONS, MULTISCALE MODELING & SIMULATION, 2011, 第 5 作者
(42) Finite element approximations of nonlinear eigenvalue problems in quantum physics, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 第 11 作者
(43) MULTI-LEVEL ADAPTIVE CORRECTIONS IN FINITE DIMENSIONAL APPROXIMATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2010, 第 11 作者
(44) 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
(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) 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
(47) Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 第 11 作者
(48) 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
(49) THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS, APPLICATIONS OF MATHEMATICS, 2009, 第 5 作者
(50) 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
(51) A finite element recovery approach to Green's function approximations with applications to electrostatic potential computation, JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 第 11 作者
(52) 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
(53) A TWO-SCALE HIGHER-ORDER FINITE ELEMENT DISCRETIZATION FOR SCHRODINGER EQUATION, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 第 3 作者
(54) 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
(55) Three-scale finite element discretizations for quantum eigenvalue problems, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 第 2 作者
(56) Parallel Mesh Refinement of Higher Order Finite Elements for Electronic Structure Calculations, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2008, 第 2 作者
(57) Convergence and optimal complexity of adaptive finite element eigenvalue computations, NUMERISCHE MATHEMATIK, 2008, 第 3 作者
(58) Local and parallel finite element algorithms for the Stokes problem, NUMERISCHE MATHEMATIK, 2008, 第 3 作者
(59) FINITE ELEMENT APPROXIMATIONS FOR SCHR(O)DINGER EQUATIONS WITH APPLICATIONS TO ELECTRONIC STRUCTURE COMPUTATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 第 4 作者
(60) FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS, MULTISCALE MODELING & SIMULATION, 2008, 第 3 作者
(61) Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh, PHYSICS LETTERS A, 2008, 第 3 作者
(62) Characteristic polynomials of some perturbed matrices, APPLIED MATHEMATICS AND COMPUTATION, 2008, 第 2 作者
(63) A spectrum theorem for perturbed bounded linear operators, APPLIED MATHEMATICS AND COMPUTATION, 2008, 第 2 作者
(64) Orbital-Free Density Functional Theory for Molecular Structure Calculations, NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 第 11 作者
(65) Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions, SCIENCE IN CHINA SERIES A-MATHEMATICS, 2008, 第 3 作者
(66) 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
(67) Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 第 2 作者
(68) Finite dimensional approximations for the electronic ground state solution of a molecular system, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 第 11 作者
(69) 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
(70) Two-scale finite element discretizations for partial differential equations, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 第 2 作者
(71) superconvergenceofthemortarfiniteelementapproximationtoaparabolicproblem, SYSTEMSSCIENCEANDMATHEMATICALSCIENCE, 1999, 第 1 作者
(72) 不变测试及其计算, 数学进展, 1998, 第 2 作者
(73) amultiparametersplittingextrapolationandaparallelalgorithm, SYSTEMSSCIENCEANDMATHEMATICALSCIENCE, 1997, 第 2 作者
(74) 间断Galerkin方法的最优误差限, 工程数学学报, 1996, 第 2 作者
(75) 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
(76) parallelcomputationanddomaindecompositionforaclassofhyperbolicproblems, SYSTEMSSCIENCEANDMATHEMATICALSCIENCE, 1995, 第 2 作者
(77) Optimal and superconvergence estimates of the finite element method for a scalar hyperbolic equation, ACTA MATHEMATICA SCIENTIA, 1994, 
(78) Convergence of the discontinuous Galerkin method for a scalar hyperbolic equation, ACTA MATHEMATICA SCIENTIA, 1993, 
(79) Streamline diffusion methods for operator equations, JOURNAL OF COMPUTATIONAL MATHEMATICS, 1993, 
(80) 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
(81) 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
( 2 ) 数值分析, Numerical Analysis, 高等教育出版社, 2023-07, 第 1 作者

科研活动

   
科研项目
( 1 ) 最优化计算方法、理论及其应用, 参与, 国家任务, 2021-01--2025-12
( 2 ) 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--2025-05
( 3 ) 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
( 4 ) 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
( 5 ) 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
( 6 ) 非线性特征值问题的计算方法, 负责人, 国家任务, 2014-01--2017-12
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