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个人简介

招生专业 081202-计算机软件与理论 招生方向 并行算法与并行软件 教育背景 1996-09--2001-07 上海大学 博士 工作简历 2011-06~现在, 中国科学院软件研究所, 研究员 2004-09~2010-05,中国科学院软件研究所, 副研究员 2003-08~2004-08,中国科学院软件研究所, 助理研究员 2001-08~2003-07,中国科学院软件研究所, 博士后 教授课程 快速傅里叶变换的理论算法与软件 科研项目 ( 1 ) 高性能谱/谱元方法研究及其在多相复杂流体中的应用 , 主持, 国家级, 2015-01--2018-12 ( 2 ) 强非线性偏微分方程基于梯度重构的新型算法, 参与, 国家级, 2015-01--2018-12 ( 3 ) 一类奇异与分数阶方程的新型谱方法, 主持, 国家级, 2019-01--2022-12 ( 4 ) 大规模数值模拟应用移植优化与平台集成, 主持, 国家级, 2019-01--2019-12 参与会议 (1)A New Triangular Spectral Element Method 李会元、王立联等 2010-11-26 (2) A Legendre Spectral Method for the Electromagnetic Scattering from a 海峡两岸2010年计算数学学术研讨会 李会元、Weiwei Sun 2010-08-03 (3)Lattice DFT and multivariate cubature and interpolation 李会元、徐源 2009-07-06 (4)A direct spectral method on the ball and its optimal error estimate 李会元 2009-06-25

近期论文

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(1) A new collocation method using near-minimal Chebyshev quadrature nodes on a square, Applied Numerical Mathematics, 2020, 通讯作者 (2) 一种基于CW-RNN的多时间尺度序列建模推荐算法, 中文信息学报, 2020, 第 3 作者 (3) 适合一类复杂异构超算系统的 HPL 并行计算模型研究, 数据与计算发展前沿, 2020, 通讯作者 (4) 高性能计算之源起——科学计算的应用现状及发展思考, 中国科学院刊, 2020, 第 3 作者 (5) $C^1$-conforming quadrilateral spectral element method for fourth-order equations, Communications on Applied Mathematics and Computation, 2020, 通讯作者 (6) Numerical analysis on the mortar spectral element methods for Schrodinger eigenvalue problem with an inverse square potential, Applied Numerical Mathematics, 2020, 通讯作者 (7) Ball prolate spheroidal wave functions in arbitrary dimensions, Applied and Computational Harmonic Analysis, 2019, 通讯作者 (8) Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces, Mathematics of Computation, 2019, 第 3 作者 (9) New space-time spectral and structured spectral element methods for high order problems, Journal of Computational and Applied Mathematics, 2019, 通讯作者 (10) Hermite-Sobolev orthogonal functions and spectral methods for second and fourth order problems on unbounded domains, International Journal of Computer Mathematics, 2019, 第 4 作者 (11) Novel spectral methods for Schrodinger equations with an inverse square potential on the whole space, Discrete Contin. Dyn. Syst. Ser. B., 2019, 通讯作者 (12) Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains, Numerical Algorithms, 2019, 第 2 作者 (13) Spectral-Galerkin approximation and optimal error estimate for biharmonic eigenvalue problems in circular/spherical/elliptical domains, Numerical Algorithms, 2019, 第 2 作者 (14) Efficient spectral methods for some singular problems, Journal of Scientific Computing, 2018, 第 2 作者 (15) Diagonalized Legendre spectral methods using Sobolev orthogonal polynomials for elliptic boundary value problems, Applied Numerical Mathematics, 2017, 第 2 作者 (16) Efficient spacet-time spectral methods for second-order problems on unbounded domains, Journal of Scientific Computing, 2017, 第 4 作者 (17) A triangular spectral element method for elliptic and Stokes problems, . Applied Mathematics and Computation, 2017, 第 3 作者 (18) Fully diagonalized Chebyshev spectral methods for second and fourth order elliptic boundary value problem, International Journal of Numerical Analysis and Modeling, 2017, 第 3 作者 (19) Efficient spectral and spectral element methods for eigenvlaue problems of Schrodinger equations with an inverse square potential, SIAM Journal on Scientific Computing, 2017, 第 1 作者 (20) Decoupled energy stable schemes for a phase field model of three-phase in- compressible viscous fluid flow, Journal on Scientific Computing, 2017, 第 2 作者 (21) Optimal spectral schemes based on generalized prolate spheroidal wave functions of order -1, Journal on Scientific Computing, 2017, 第 3 作者 (22) Efficient space-time spectral methods for second-order problems on unbounded domains, Journal of Scientific Computing, 2017, 第 3 作者 (23) A fully diagonalized spectral method using generalizedLaguerre functions on the half line, Advances in Computational Mathematics, 2017, 第 3 作者 (24) 双调和算子特征值问题的混合三角谱元方法, 计算数学, 2016, 第 2 作者 (25) The Triangular Spectral Element Method for Stokes Eigenvalues, Mathematics of Computation, 2016, 第 2 作者 (26) Spectral methods using generalized Laguerre functions for second and fourth order problems, Numerical Algorithm, 2016, 第 2 作者 (27) 任意三角形 Laplace 特征值问题谱方法的数值对比研究, 数值计算与计算机应用, 2015, 第 2 作者 (28) HexagonalFourier-GalerkinMethodsfortheTwo-DimensionalHomogeneousIsotropic Decaying Turbulence, J. Math. Study, 2014, 第 1 作者 (29) Spectral approximation on the unit ball, SIAM J. Numerical Analysis, 2014, 第 1 作者 (30) Legendre spectral Galerkin method for electromagnetic scattering from large cavities, SIAM Journal on Numerical Analysis, 2013, 第 1 作者 (31) Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids, Journal of Com- putational Physics, 2013, 第 3 作者 (32) A new triangular spectral element method I: implementation and analysis on a triangle, Numerical Algorithms, 2013, 第 2 作者 (33) 二维各向同性湍流直接数值模拟的六边形谱方法及 GPU 实现和优化, 数值数学与计算机应用, 2013, 第 2 作者 (34) 六边形区域快速傅里叶变换的 CUDA-MPI 算法及其实现, 数值数学与计算机应用, 2012, 第 2 作者 (35) 六边形区域 Fourier 谱方法, 应用数学与计算数学学报, 2012, 第 1 作者 (36) Discrete Fourier analysis and Chebyshev polynomials with G2group, Symmetry, Integrability and Geometry: Methods and Applications, 2012, 第 1 作者 (37) Discrete Fourier analysis with lattices on planar domains, Numerical Algorithm, 2011, 第 1 作者 (38) A new spectral method on triangles, Lecture Notes in computational Science and Engineering, 2011, 第 4 作者 (39) Discrete Fourier analysis on fundamental domain of Ad lattice and on simplex in d-variables, Journal of Fourier Analysis and its Applications, 2010, 第 1 作者 (40) Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle, Mathematics of Computation, 2010, 第 1 作者 (41) A spectral method on tetrahedra using rational basis functions, Inter. J. Numer. Anal. Mod., 2010, 第 1 作者 (42) 一类非张量积区域快速傅里叶变换算法在国产并行机上的可扩展测试, 数值数学与计算机应用, 2010, 第 3 作者 (43) Discrete Fourier analysis on a dodecahedron and a tetrahedron, Math. Comput.,, 2009, 第 1 作者 (44) A triangular spectral element method using fully tensorial rational basis functions, SIAM J. Numer. Anal., 2009, 第 3 作者 (45) Cubature Formula and Interpolation on the Cubic Domain, Numer. Math. Theor. Meth. Appl., 2009, 第 1 作者 (46) Chebyshev-Legendre spectral method for solving the two-dimensional vorticity equations with homogeneous Dirichelte conditions, Numerical Methods for Partial Differential Equations, 2009, 第 3 作者 (47) 平行六边形区域非均匀节点快速傅里叶变换, 数值数学与计算机应用, 2009, 第 2 作者 (48) Discrete Fourier analysis, cubature and interpolation on a hexagon and a triangle, SIAM J. Numer. Anal., 2008, 第 1 作者

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