Edit Profile (opens in new tab) Wang, Jilu Co-Author Distance Author ID: wang.jilu Published as: Wang, Jilu Documents Indexed: 33 Publications since 1989, including 3 Additional arXiv Preprints Co-Authors: 27 Co-Authors with 28 Joint Publications 1,136 Co-Co-Authors all top 5 Co-Authors 2 single-authored 9 Li, Buyang 7 Sun, Weiwei 5 Gunzburger, Max D. 4 Xu, Liwei 3 Li, Dongfang 3 Wang, Cheng 3 Xia, Zeyu 2 Cai, Wentao 2 Gui, Xinping 2 Huang, Qibai 2 Si, Zhiyong 2 Yang, Zongze 2 Zhang, Jiwei 2 Zhang, Zhimin 1 Akrivis, Georgios D. 1 Chu, Tianyang 1 Liao, HongLin 1 Liu, Zhanxin 1 Ma, Shu 1 Rao, Qiqi 1 Sun, Ting 1 Wang, Hong 1 Wang, Jungang 1 Wang, Na 1 Wise, Steven M. 1 Xie, Yupei 1 Yin, Lihong 1 Zhang, Mingyan 1 Zheng, Chunxiong all top 5 Serials 6 SIAM Journal on Numerical Analysis 5 Journal of Scientific Computing 3 Numerische Mathematik 2 Journal of Computational and Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 1 Journal of Computational Physics 1 Mathematics of Computation 1 SIAM Journal on Control and Optimization 1 Statistics 1 European Journal of Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 International Journal of Numerical Analysis and Modeling all top 5 Fields 28 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 27 Publications have been cited 692 times in 456 Documents Cited by ▼ Year ▼ Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431 Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei 117 2018 Unconditionally convergent \(L1\)-Galerkin FEMs for nonlinear time-fractional Schrödinger equations. Zbl 1379.65079 Li, Dongfang; Wang, Jilu; Zhang, Jiwei 110 2017 A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257 Wang, Jilu 104 2014 Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations. Zbl 1346.76073 Si, Zhiyong; Wang, Jilu; Sun, Weiwei 62 2016 A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. Zbl 1433.65315 Wang, Jilu; Si, Zhiyong; Sun, Weiwei 54 2014 Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system. Zbl 1377.65118 Li, Dongfang; Wang, Jilu 48 2017 Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D. Zbl 1357.65148 Sun, Weiwei; Wang, Jilu 31 2017 Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Zbl 1418.60077 Gunzburger, Max; Li, Buyang; Wang, Jilu 21 2019 Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrödinger-Helmholtz system. Zbl 1402.65119 Wang, Jilu 20 2018 Error analysis of fully discrete finite element approximations to an optimal control problem governed by a time-fractional PDE. Zbl 1417.65171 Gunzburger, Max; Wang, Jilu 18 2019 Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320 Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei 16 2022 A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in two-dimensional nonsmooth and nonconvex domains. Zbl 1432.76162 Li, Buyang; Wang, Jilu; Xu, Liwei 15 2020 Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Zbl 1462.65143 Gunzburger, Max; Li, Buyang; Wang, Jilu 13 2019 The stability and convergence of fully discrete Galerkin-Galerkin FEMs for porous medium flows. Zbl 1373.76094 Li, Buyang; Wang, Jilu; Sun, Weiwei 13 2014 Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. Zbl 1490.65201 Li, Buyang; Wang, Hong; Wang, Jilu 12 2021 An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050 Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G. 10 2011 A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060 Gunzburger, Max; Wang, Jilu 9 2019 Convergence of renormalized finite element methods for heat flow of harmonic maps. Zbl 07714593 Gui, Xinping; Li, Buyang; Wang, Jilu 6 2022 Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media. Zbl 1434.76063 Cai, Wentao; Wang, Jilu; Wang, Kai 5 2020 Heat and sweat transport in fibrous media with radiation. Zbl 1291.80008 Wang, Jilu; Sun, Weiwei 4 2014 Fast evaluation of artificial boundary conditions for advection diffusion equations. Zbl 1455.65141 Sun, Ting; Wang, Jilu; Zheng, Chunxiong 4 2020 Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. Zbl 1456.65057 Akrivis, Georgios; Li, Buyang; Wang, Jilu 3 2021 A single-step correction scheme of Crank-Nicolson convolution quadrature for the subdiffusion equation. Zbl 1466.65149 Wang, Jilu; Wang, Jungang; Yin, Lihong 3 2021 A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. Zbl 1515.76096 Gunzburger, Max; Li, Buyang; Wang, Jilu; Yang, Zongze 2 2022 Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics. Zbl 1394.76080 Wang, J. L.; Huang, Q. B.; Liu, Z. X.; Li, K. 1 2015 Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations. Zbl 1528.76046 Wang, Cheng; Wang, Jilu; Wise, Steven M.; Xia, Zeyu; Xu, Liwei 1 2024 Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. Zbl 07688703 Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze 1 2023 Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn-Hilliard-magnetohydrodynamics system of equations. Zbl 1528.76046 Wang, Cheng; Wang, Jilu; Wise, Steven M.; Xia, Zeyu; Xu, Liwei 1 2024 Optimal \(L^2\) error estimates of unconditionally stable finite element schemes for the Cahn-Hilliard-Navier-Stokes system. Zbl 07688703 Cai, Wentao; Sun, Weiwei; Wang, Jilu; Yang, Zongze 1 2023 Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320 Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei 16 2022 Convergence of renormalized finite element methods for heat flow of harmonic maps. Zbl 07714593 Gui, Xinping; Li, Buyang; Wang, Jilu 6 2022 A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. Zbl 1515.76096 Gunzburger, Max; Li, Buyang; Wang, Jilu; Yang, Zongze 2 2022 Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. Zbl 1490.65201 Li, Buyang; Wang, Hong; Wang, Jilu 12 2021 Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation. Zbl 1456.65057 Akrivis, Georgios; Li, Buyang; Wang, Jilu 3 2021 A single-step correction scheme of Crank-Nicolson convolution quadrature for the subdiffusion equation. Zbl 1466.65149 Wang, Jilu; Wang, Jungang; Yin, Lihong 3 2021 A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in two-dimensional nonsmooth and nonconvex domains. Zbl 1432.76162 Li, Buyang; Wang, Jilu; Xu, Liwei 15 2020 Convergence analysis of Crank-Nicolson Galerkin-Galerkin FEMs for miscible displacement in porous media. Zbl 1434.76063 Cai, Wentao; Wang, Jilu; Wang, Kai 5 2020 Fast evaluation of artificial boundary conditions for advection diffusion equations. Zbl 1455.65141 Sun, Ting; Wang, Jilu; Zheng, Chunxiong 4 2020 Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Zbl 1418.60077 Gunzburger, Max; Li, Buyang; Wang, Jilu 21 2019 Error analysis of fully discrete finite element approximations to an optimal control problem governed by a time-fractional PDE. Zbl 1417.65171 Gunzburger, Max; Wang, Jilu 18 2019 Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Zbl 1462.65143 Gunzburger, Max; Li, Buyang; Wang, Jilu 13 2019 A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060 Gunzburger, Max; Wang, Jilu 9 2019 Analysis of \(L1\)-Galerkin FEMs for time-fractional nonlinear parabolic problems. Zbl 1488.65431 Li, Dongfang; Liao, Hong-Lin; Sun, Weiwei; Wang, Jilu; Zhang, Jiwei 117 2018 Unconditional stability and convergence of Crank-Nicolson Galerkin FEMs for a nonlinear Schrödinger-Helmholtz system. Zbl 1402.65119 Wang, Jilu 20 2018 Unconditionally convergent \(L1\)-Galerkin FEMs for nonlinear time-fractional Schrödinger equations. Zbl 1379.65079 Li, Dongfang; Wang, Jilu; Zhang, Jiwei 110 2017 Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system. Zbl 1377.65118 Li, Dongfang; Wang, Jilu 48 2017 Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D. Zbl 1357.65148 Sun, Weiwei; Wang, Jilu 31 2017 Unconditional stability and error estimates of modified characteristics FEMs for the Navier-Stokes equations. Zbl 1346.76073 Si, Zhiyong; Wang, Jilu; Sun, Weiwei 62 2016 Explicit high accuracy maximum resolution dispersion relation preserving schemes for computational aeroacoustics. Zbl 1394.76080 Wang, J. L.; Huang, Q. B.; Liu, Z. X.; Li, K. 1 2015 A new error analysis of Crank-Nicolson Galerkin FEMs for a generalized nonlinear Schrödinger equation. Zbl 1306.65257 Wang, Jilu 104 2014 A new error analysis of characteristics-mixed FEMs for miscible displacement in porous media. Zbl 1433.65315 Wang, Jilu; Si, Zhiyong; Sun, Weiwei 54 2014 The stability and convergence of fully discrete Galerkin-Galerkin FEMs for porous medium flows. Zbl 1373.76094 Li, Buyang; Wang, Jilu; Sun, Weiwei 13 2014 Heat and sweat transport in fibrous media with radiation. Zbl 1291.80008 Wang, Jilu; Sun, Weiwei 4 2014 An improved localized radial basis function meshless method for computational aeroacoustics. Zbl 1259.76050 Li, K.; Huang, Q. B.; Wang, J. L.; Lin, L. G. 10 2011 all cited Publications top 5 cited Publications all top 5 Cited by 563 Authors 38 Shi, Dongyang 27 Li, Meng 23 Li, Dongfang 15 Wang, Junjun 14 Hendy, Ahmed S. 14 Wang, Hong 14 Wang, Jilu 13 Zaky, Mahmoud A. 12 Li, Buyang 12 Sun, Weiwei 12 Zhang, Jiwei 12 Zheng, Xiangcheng 11 Yang, Huaijun 10 Si, Zhiyong 9 Chen, Yanping 9 Zhang, Houchao 9 Zhang, Zhimin 8 Deng, Weihua 8 Huang, Yunqing 8 Nie, Daxin 8 Wang, Yushun 8 Zhang, Chengjian 8 Zhao, Yanmin 8 Zou, Guang’an 7 Qin, Hongyu 7 Wu, Fengyan 6 Chen, Xiaoli 6 Huang, Chengming 6 Ma, Shu 6 Sun, Jing 6 Wang, Nan 6 Wang, Tingchun 5 Beshtokov, Murat Khamidbievich 5 Cheng, Xiujun 5 Duan, Jinqiao 5 Lapin, Aleksandr Vasil’evich 5 Li, Lili 5 Liao, HongLin 5 Liu, Qian 5 Liu, Yang 5 Lu, Shujuan 5 Sun, Haiwei 5 Wang, Bo 5 Wang, Yunxia 5 Xu, Da 5 Zhang, Qifeng 4 An, Rong 4 Cai, Wenjun 4 Cai, Wentao 4 Feng, Xinlong 4 Gunzburger, Max D. 4 Henning, Patrick 4 Jia, Jinhong 4 Jiang, Xiaoyun 4 Jiang, Yaolin 4 Li, Changpin 4 Li, Jian 4 Pimenov, Vladimir Germanovich 4 Ren, Jincheng 4 She, Mianfu 4 Tian, Zhikun 4 Vong, Seakweng 4 Wang, Jianyun 4 Wei, LeiLei 4 Wu, Chengda 4 Xu, Chao 4 Yang, Yin 4 Yang, Yunbo 4 Zeng, Fanhai 4 Zhou, Zhaojie 3 Cao, Luling 3 Cao, Wanrong 3 Chen, Hao 3 Chen, Hu 3 Chen, Li 3 Chen, Shaochun 3 Cui, Xia 3 Fei, Mingfa 3 Feng, Xiaobing 3 Fu, Yayun 3 Gao, Huadong 3 Guan, Zhen 3 Guo, Boling 3 Guo, Jing 3 He, Yinnian 3 Hu, Xindi 3 Jiang, Chaolong 3 Li, Binjie 3 Li, Hong 3 Liao, Xin 3 Macías-Díaz, Jorge Eduardo 3 Mei, Liquan 3 Nie, Yufeng 3 Peng, Shanshan 3 Płociniczak, Łukasz 3 Rui, Hongxing 3 Tang, Yifa 3 Wang, Cheng 3 Wang, Fenling 3 Wang, Jialing ...and 463 more Authors all top 5 Cited in 81 Serials 46 Computers & Mathematics with Applications 45 Journal of Scientific Computing 35 Applied Mathematics and Computation 34 Applied Numerical Mathematics 21 Numerical Methods for Partial Differential Equations 20 Journal of Computational and Applied Mathematics 20 Numerical Algorithms 18 SIAM Journal on Numerical Analysis 14 International Journal of Computer Mathematics 11 Mathematics and Computers in Simulation 11 Communications in Nonlinear Science and Numerical Simulation 10 Applied Mathematics Letters 9 SIAM Journal on Scientific Computing 9 Advances in Computational Mathematics 9 Advances in Applied Mathematics and Mechanics 8 Journal of Applied Mathematics and Computing 7 Numerische Mathematik 7 Computational and Applied Mathematics 6 Applicable Analysis 6 Mathematical Methods in the Applied Sciences 6 Journal of Computational Mathematics 5 Journal of Computational Physics 4 BIT 4 Fractional Calculus & Applied Analysis 4 Advances in Difference Equations 4 Boundary Value Problems 4 Communications in Computational Physics 4 Numerical Mathematics: Theory, Methods and Applications 4 AIMS Mathematics 3 Mathematics of Computation 3 Lobachevskii Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 International Journal of Differential Equations 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 SIAM Journal on Control and Optimization 2 ETNA. Electronic Transactions on Numerical Analysis 2 Matematicheskie Trudy 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Numerical Analysis and Modeling 2 East Asian Journal on Applied Mathematics 2 Journal of Function Spaces 2 Communications on Applied Mathematics and Computation 1 Computers and Fluids 1 Computer Physics Communications 1 Inverse Problems 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Physica D 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Potential Analysis 1 Memoirs on Differential Equations and Mathematical Physics 1 Journal of Inverse and Ill-Posed Problems 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Mathematical Problems in Engineering 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Journal of Mathematical Study 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Differential Equations 1 Computational Methods in Applied Mathematics 1 Portugaliae Mathematica. Nova Série 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Applied Mathematics & Informatics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Mathematical Sciences 1 Journal of Dynamics and Games 1 SIAM/ASA Journal on Uncertainty Quantification 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 Electronic Research Archive all top 5 Cited in 29 Fields 437 Numerical analysis (65-XX) 329 Partial differential equations (35-XX) 90 Fluid mechanics (76-XX) 79 Real functions (26-XX) 19 Probability theory and stochastic processes (60-XX) 16 Ordinary differential equations (34-XX) 14 Integral equations (45-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 8 Approximations and expansions (41-XX) 8 Optics, electromagnetic theory (78-XX) 8 Quantum theory (81-XX) 8 Biology and other natural sciences (92-XX) 6 Mechanics of deformable solids (74-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year