基本信息
刘勇 男 博导 中国科学院数学与系统科学研究院
电子邮件： yongliu@lsec.cc.ac.cn
通信地址： 中关村东路55号
邮政编码：
电子邮件： yongliu@lsec.cc.ac.cn
通信地址： 中关村东路55号
邮政编码：
研究领域
计算数学
招生信息
招生专业
070102-计算数学
招生方向
偏微分方程数值解
间断有限元方法
间断有限元方法
教育背景
2018-09--2020-04 布朗大学 联合培养
2016-09--2020-06 中国科学技术大学 硕博连读，博士学位
2011-09--2015-06 中国科学技术大学 学士学位
2016-09--2020-06 中国科学技术大学 硕博连读，博士学位
2011-09--2015-06 中国科学技术大学 学士学位
工作经历
工作简历
2022-06~现在, 中国科学院数学与系统科学研究院, 副研究员
2020-07~2022-06,中国科学院数学与系统科学研究院, 博士后研究
2020-07~2022-06,中国科学院数学与系统科学研究院, 博士后研究
专利与奖励
奖励信息
（1） 陈景润未来之星, 研究所（学校）, 2023
（2） 中科院优秀博士学位论文奖, 院级, 2021
（3） 中国科学院院长特别奖, , 院级, 2020
（2） 中科院优秀博士学位论文奖, 院级, 2021
（3） 中国科学院院长特别奖, , 院级, 2020
出版信息
发表论文
（1） An entropy stable essentially oscillation-free disontinuous Galerkin method for hyperbolic conservation laws, SIAM Journal on Scientific Computing, 2024,
（2） An arbitrarily high order finite element method on arbitrarily shaped domains with automatic mesh generation, 中国科学:数学, 2023, 第 2 作者
（3） An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, JOURNAL OF COMPUTATIONAL PHYSICS, 2023,
（4） An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023,
（5） An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations, JOURNAL OF SCIENTIFIC COMPUTING, 2022,
（6） AN ESSENTIALLY OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR HYPERBOLIC SYSTEMS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022,
（7） A CLASS OF ADAPTIVE MULTIRESOLUTION ULTRA-WEAK DISCONTINUOUS GALERKIN METHODS FOR SOME NONLINEAR DISPERSIVE WAVE EQUATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022,
（8） AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021,
（9） Central discontinuous Galerkin methods on overlapping meshes for wave equations, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2021,
（10） SUB-OPTIMAL CONVERGENCE OF DISCONTINUOUS GALERKIN METHODS WITH CENTRAL FLUXES FOR LINEAR HYPERBOLIC EQUATIONS WITH EVEN DEGREE POLYNOMIAL APPROXIMATIONS, SUB-OPTIMAL CONVERGENCE OF DISCONTINUOUS GALERKIN METHODS WITH CENTRAL FLUXES FOR LINEAR HYPERBOLIC EQUATIONS WITH EVEN DEGREE POLYNOMIAL APPROXIMATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021,
（11） Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020,
（12） Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using P-k elements, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020,
（13） Superconvergence of Energy-Conserving Discontinuous Galerkin Methods for Linear Hyperbolic Equations, Superconvergence of Energy-Conserving Discontinuous Galerkin Methods for Linear Hyperbolic Equations, 应用数学与计算数学学报(英文), 2019,
（14） Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise, JOURNAL OF SCIENTIFIC COMPUTING, 2019,
（15） Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019,
（16） Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes, JOURNAL OF COMPUTATIONAL PHYSICS, 2018,
（17） OPTIMAL ERROR ESTIMATES OF THE SEMIDISCRETE CENTRAL DISCONTINUOUS GALERKIN METHODS FOR LINEAR HYPERBOLIC EQUATIONS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018,
（2） An arbitrarily high order finite element method on arbitrarily shaped domains with automatic mesh generation, 中国科学:数学, 2023, 第 2 作者
（3） An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, JOURNAL OF COMPUTATIONAL PHYSICS, 2023,
（4） An oscillation free local discontinuous Galerkin method for nonlinear degenerate parabolic equations, NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2023,
（5） An Oscillation-free Discontinuous Galerkin Method for Shallow Water Equations, JOURNAL OF SCIENTIFIC COMPUTING, 2022,
（6） AN ESSENTIALLY OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR HYPERBOLIC SYSTEMS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022,
（7） A CLASS OF ADAPTIVE MULTIRESOLUTION ULTRA-WEAK DISCONTINUOUS GALERKIN METHODS FOR SOME NONLINEAR DISPERSIVE WAVE EQUATIONS, SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022,
（8） AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021,
（9） Central discontinuous Galerkin methods on overlapping meshes for wave equations, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2021,
（10） SUB-OPTIMAL CONVERGENCE OF DISCONTINUOUS GALERKIN METHODS WITH CENTRAL FLUXES FOR LINEAR HYPERBOLIC EQUATIONS WITH EVEN DEGREE POLYNOMIAL APPROXIMATIONS, SUB-OPTIMAL CONVERGENCE OF DISCONTINUOUS GALERKIN METHODS WITH CENTRAL FLUXES FOR LINEAR HYPERBOLIC EQUATIONS WITH EVEN DEGREE POLYNOMIAL APPROXIMATIONS, JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021,
（11） Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020,
（12） Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using P-k elements, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2020,
（13） Superconvergence of Energy-Conserving Discontinuous Galerkin Methods for Linear Hyperbolic Equations, Superconvergence of Energy-Conserving Discontinuous Galerkin Methods for Linear Hyperbolic Equations, 应用数学与计算数学学报(英文), 2019,
（14） Certified Offline-Free Reduced Basis (COFRB) Methods for Stochastic Differential Equations Driven by Arbitrary Types of Noise, JOURNAL OF SCIENTIFIC COMPUTING, 2019,
（15） Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates, COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019,
（16） Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes, JOURNAL OF COMPUTATIONAL PHYSICS, 2018,
（17） OPTIMAL ERROR ESTIMATES OF THE SEMIDISCRETE CENTRAL DISCONTINUOUS GALERKIN METHODS FOR LINEAR HYPERBOLIC EQUATIONS, SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018,
科研活动
科研项目
（ 1 ） 本质无振荡间断有限元方法在磁流体力学方程中的计算与理论研究, 负责人, 国家任务, 2023-01--2025-12
（ 2 ） 中科院青促会项目, 负责人, 中国科学院计划, 2023-01--2026-12
（ 3 ） CAD-CAE新型一体化算法及理论, 负责人, 中国科学院计划, 2023-11--2028-10
（ 2 ） 中科院青促会项目, 负责人, 中国科学院计划, 2023-01--2026-12
（ 3 ） CAD-CAE新型一体化算法及理论, 负责人, 中国科学院计划, 2023-11--2028-10