## Ju, Lili

Compute Distance To:
 Author ID: ju.lili Published as: Ju, Lili; Ju, L. External Links: MGP
 Documents Indexed: 96 Publications since 1998 1 Contribution as Editor Co-Authors: 69 Co-Authors with 96 Joint Publications 3,544 Co-Co-Authors
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### Co-Authors

 1 single-authored 24 Du, Qiang 22 Gunzburger, Max D. 11 Li, Xiao 11 Wang, Zhu 10 Leng, Wei 9 Zhao, Weidong 7 Qiao, Zhonghua 7 Tian, Li 6 Hoang, Thi-Thao-Phuong 6 Wang, Xiaoqiang 6 Zhang, Xiaoping 4 Tian, Hao 3 Gao, Huadong 3 Li, Hongwei 3 Lu, Jianfang 3 Wang, Desheng 3 Zhu, Liyong 2 Burkardt, John V. 2 Chen, Qingshan 2 Duddu, Ravindra 2 Emelianenko, Maria 2 Feng, Hui 2 Feng, Xinlong 2 Gao, Yan 2 Gruber, Anthony 2 Hou, L. Steven 2 Huang, Jianguo 2 Lan, Rihui 2 Li, Jingwei 2 Meng, Xucheng 2 Temam, Roger Meyer 2 Wang, Yu 2 Wu, Bo 2 Yang, Xiaofeng 2 Zhang, Chenfei 2 Zhang, Guannan 2 Zhang, Wei 2 Zhou, Youjie 1 Cai, Yongyong 1 Cao, Yu 1 Cui, Tao 1 D’Elia, Marta 1 Duo, Siwei 1 Fan, Xiaochuan 1 Lee, Hyesuk Kwon 1 Lee, Hyung-Chun 1 Li, Shujie 1 Li, Yang 1 Liu, Xinfeng 1 Luo, Lishi 1 Peng, Qiujin 1 Pieper, Konstantin 1 Rand, Alexander 1 Ringler, Todd D. 1 Saka, Yuki 1 Teng, Yuankai 1 Tian, Xiaochuan 1 Wu, Jiming 1 Wu, Wensong 1 Xiao, Xiao 1 Xie, Wen 1 Xie, Yan 1 Yang, Huanhuan 1 Yang, Jiang 1 Yuan, Shuai 1 Zhang, Huai 1 Zhang, Linbo 1 Zhang, Yanzhi 1 Zhou, Kun
all top 5

### Serials

 15 Journal of Computational Physics 12 Computer Methods in Applied Mechanics and Engineering 9 Journal of Scientific Computing 7 Communications in Computational Physics 6 SIAM Journal on Numerical Analysis 5 Mathematics of Computation 5 International Journal of Numerical Analysis and Modeling 4 Computers & Mathematics with Applications 4 SIAM Journal on Scientific Computing 4 IEEE Transactions on Image Processing 4 Numerical Mathematics: Theory, Methods and Applications 3 Discrete and Continuous Dynamical Systems. Series B 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 BIT 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Parallel Computing 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Computational Geometry 1 SIAM Review 1 Journal of Mathematical Imaging and Vision 1 Chinese Journal of Numerical Mathematics and Applications 1 Communications in Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation
all top 5

### Fields

 83 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 17 Fluid mechanics (76-XX) 7 Computer science (68-XX) 7 Geophysics (86-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 3 Convex and discrete geometry (52-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 989 times in 581 Documents Cited by Year
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. Zbl 1419.65018
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2019
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. Zbl 1448.65182
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Zhang, Hui
2018
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
2015
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model. Zbl 1439.74165
Yang, Xiaofeng; Ju, Lili
2017
Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes. Zbl 1465.35081
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2021
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. Zbl 1395.65099
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2018
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Zbl 1327.65101
Du, Qiang; Ju, Lili; Tian, Li; Zhou, Kun
2013
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model. Zbl 1439.76029
Yang, Xiaofeng; Ju, Lili
2017
Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. Zbl 1115.65017
Du, Qiang; Emelianenko, Maria; Ju, Lili
2006
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. Zbl 1349.92015
Wang, Xiaoqiang; Ju, Lili; Du, Qiang
2016
Finite element approximation of the Cahn-Hilliard equation on surfaces. Zbl 1230.80010
Du, Qiang; Ju, Lili; Tian, Li
2011
A stable multistep scheme for solving backward stochastic differential equations. Zbl 1234.60068
Zhao, Weidong; Zhang, Guannan; Ju, Lili
2010
Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations. Zbl 1342.65187
Zhu, Liyong; Ju, Lili; Zhao, Weidong
2016
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
2002
Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state. Zbl 1398.65305
Li, Hongwei; Ju, Lili; Zhang, Chenfei; Peng, Qiujin
2018
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099
Ju, Lili; Gunzburger, Max; Zhao, Weidong
2006
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Zbl 1221.65293
Du, Qiang; Ju, Lili
2005
A numerical method and its error estimates for the decoupled forward-backward stochastic differential equations. Zbl 06799394
Zhao, Weidong; Zhang, Wei; Ju, Lili
2014
Nonlocal convection-diffusion problems and finite element approximations. Zbl 1423.74925
Tian, Hao; Ju, Lili; Du, Qiang
2015
Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009
Du, Qiang; Gunzburger, Max; Ju, Lili
2002
Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations. Zbl 1304.65190
Ju, Lili; Liu, Xinfeng; Leng, Wei
2014
Numerical simulations of the quantized vortices on a thin superconducting hollow sphere. Zbl 1076.82549
Du, Qiang; Ju, Lili
2004
A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization. Zbl 1439.65134
Tian, Hao; Ju, Lili; Du, Qiang
2017
An exponential time-integrator scheme for steady and unsteady inviscid flows. Zbl 1395.76060
Li, Shu-Jie; Luo, Li-Shi; Wang, Z. J.; Ju, Lili
2018
Nguyen, Hoa; Gunzburger, Max; Ju, Lili; Burkardt, John
2009
An edge-weighted centroidal Voronoi tessellation model for image segmentation. Zbl 1371.94399
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2009
Finite volume methods on spheres and spherical centroidal Voronoi meshes. Zbl 1099.65107
Du, Qiang; Ju, Lili
2005
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong
2021
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Zbl 1405.65118
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Constrained CVT meshes and a comparison of triangular mesh generators. Zbl 1152.65035
Nguyen, Hoa; Burkardt, John; Gunzburger, Max; Ju, Lili; Saka, Yuki
2009
A finite volume method on general surfaces and its error estimates. Zbl 1160.65340
Ju, Lili; Du, Qiang
2009
An additive overlapping domain decomposition method for the Helmholtz equation. Zbl 1416.65501
Leng, Wei; Ju, Lili
2019
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong
2021
Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces. Zbl 1166.65057
Du, Qiang; Ju, Lili; Tian, Li
2009
Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation. Zbl 1132.65012
Ju, Lili
2007
Conservative explicit local time-stepping schemes for the shallow water equations. Zbl 1451.65133
Hoang, Thi-Thao-Phuong; Leng, Wei; Ju, Lili; Wang, Zhu; Pieper, Konstantin
2019
Error estimates of the Crank-Nicolson scheme for solving backward stochastic differential equations. Zbl 1281.65016
Zhao, Weidong; Li, Yang; Ju, Lili
2013
Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. Zbl 1419.65058
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
A fast algorithm for solving the space-time fractional diffusion equation. Zbl 1409.65053
Duo, Siwei; Ju, Lili; Zhang, Yanzhi
2018
Numerical investigation of ensemble methods with block iterative solvers for evolution problems. Zbl 1468.65144
Ju, Lili; Leng, Wei; Wang, Zhu; Yuan, Shuai
2020
An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. Zbl 1405.65158
Zhang, Xiaoping; Wu, Jiming; Ju, Lili
2018
A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces. Zbl 1229.65192
Ju, Lili; Tian, Li; Wang, Desheng
2009
Nondegeneracy and weak global convergence of the Lloyd algorithm in $$\mathbb{R}^D$$. Zbl 1171.65012
Emelianenko, Maria; Ju, Lili; Rand, Alexander
2008
Convergence analysis of a splitting method for stochastic differential equations. Zbl 1163.65004
Zhao, Weidong; Tian, Li; Ju, Lili
2008
Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling. Zbl 1265.76046
Zhang, Huai; Ju, Lili; Gunzburger, Max; Ringler, Todd; Price, Stephen
2011
Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization. Zbl 1165.65077
Ju, Lili; Wu, Wensong; Zhao, Weidong
2009
A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions. Zbl 1414.65028
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. Zbl 07512335
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Yang, Jiang
2021
Image segmentation using local variation and edge-weighted centroidal Voronoi tessellations. Zbl 1372.94260
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2011
A numerical method for exact boundary controllability problems for the wave equation. Zbl 1248.93026
Gunzburger, M.; Hou, L. S.; Ju, L.
2006
Approximation of exact boundary controllability problems for the 1-D wave equation by optimization-based method. Zbl 1036.65056
Ju, Lili; Gunzburger, Max D.; Hou, L. Steven
2003
An efficient second-order linear scheme for the phase field model of corrosive dissolution. Zbl 1428.65006
Gao, Huadong; Ju, Lili; Duddu, Ravindra; Li, Hongwei
2020
Localized exponential time differencing method for shallow water equations: algorithms and numerical study. Zbl 1473.65141
Meng, Xucheng; Hoang, Thi-Thao-phuong; Wang, Zhu; Ju, Lili
2021
Overlapping localized exponential time differencing methods for diffusion problems. Zbl 1410.65361
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2019
A fast compact time integrator method for a family of general order semilinear evolution equations. Zbl 1452.65161
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
High order explicit local time stepping methods for hyperbolic conservation laws. Zbl 1436.65130
Hoang, Thi-Thao-Phuong; Ju, Lili; Leng, Wei; Wang, Zhu
2020
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. Zbl 1351.86030
Leng, Wei; Ju, Lili; Xie, Yan; Cui, Tao; Gunzburger, Max
2014
A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets. Zbl 1373.86004
Leng, Wei; Ju, Lili; Gunzburger, Max; Price, Stephen
2014
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. Zbl 1449.65242
Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan
2020
Linear and unconditionally energy stable schemes for the multi-component two-phase diffuse interface model with Peng-Robinson equation of state. Zbl 1473.65128
Zhang, Chenfei; Li, Hongwei; Zhang, Xiaoping; Ju, Lili
2019
Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. Zbl 1483.65141
Li, Xiao; Ju, Lili; Meng, Xucheng
2019
Covolume-upwind finite volume approximations for linear elliptic partial differential equations. Zbl 1277.76052
Ju, Lili; Tian, Li; Xiao, Xiao; Zhao, Weidong
2012
Generalized edge-weighted centroidal Voronoi tessellations for geometry processing. Zbl 1268.65029
Wang, Yu; Ju, Lili; Wang, Desheng; Wang, Xiaoqiang
2012
A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion. Zbl 1453.65317
Gao, Huadong; Ju, Lili; Li, Xiao; Duddu, Ravindra
2020
Nonoverlapping localized exponential time differencing methods for diffusion problems. Zbl 1431.65063
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2020
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. Zbl 1460.65115
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong
2021
A variational phase field method for curve smoothing. Zbl 1185.65023
Zhu, Liyong; Wang, Yu; Ju, Lili; Wang, Desheng
2010
Centroidal Voronoi tessellation algorithms for image compression, segmentation, and multichannel restoration. Zbl 1478.94033
Du, Qiang; Gunzburger, Max; Ju, Lili; Wang, Xiaoqiang
2006
Parallel exponential time differencing methods for geophysical flow simulations. Zbl 07427389
Lan, Rihui; Leng, Wei; Wang, Zhu; Ju, Lili; Gunzburger, Max
2021
A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions. Zbl 1433.65321
Tian, Hao; Zhang, Jing; Ju, Lili
2020
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. Zbl 07568386
Ju, Lili; Li, Xiao; Qiao, Zhonghua
2022
Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. Zbl 1477.35273
Chen, Qingshan; Ju, Lili; Temam, Roger
2021
A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation. Zbl 1474.65465
Leng, Wei; Ju, Lili
2021
A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations. Zbl 1426.82074
Gao, Huadong; Ju, Lili; Xie, Wen
2019
Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations. Zbl 07568386
Ju, Lili; Li, Xiao; Qiao, Zhonghua
2022
Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes. Zbl 1465.35081
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2021
Stabilized integrating factor Runge-Kutta method and unconditional preservation of maximum bound principle. Zbl 1486.65146
Li, Jingwei; Li, Xiao; Ju, Lili; Feng, Xinlong
2021
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. Zbl 1476.65178
Li, Jingwei; Ju, Lili; Cai, Yongyong; Feng, Xinlong
2021
Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations. Zbl 07512335
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Yang, Jiang
2021
Localized exponential time differencing method for shallow water equations: algorithms and numerical study. Zbl 1473.65141
Meng, Xucheng; Hoang, Thi-Thao-phuong; Wang, Zhu; Ju, Lili
2021
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. Zbl 1460.65115
Li, Xiao; Ju, Lili; Hoang, Thi-Thao-Phuong
2021
Parallel exponential time differencing methods for geophysical flow simulations. Zbl 07427389
Lan, Rihui; Leng, Wei; Wang, Zhu; Ju, Lili; Gunzburger, Max
2021
Conservative numerical schemes with optimal dispersive wave relations: part I. Derivation and analysis. Zbl 1477.35273
Chen, Qingshan; Ju, Lili; Temam, Roger
2021
A diagonal sweeping domain decomposition method with source transfer for the Helmholtz equation. Zbl 1474.65465
Leng, Wei; Ju, Lili
2021
Numerical investigation of ensemble methods with block iterative solvers for evolution problems. Zbl 1468.65144
Ju, Lili; Leng, Wei; Wang, Zhu; Yuan, Shuai
2020
An efficient second-order linear scheme for the phase field model of corrosive dissolution. Zbl 1428.65006
Gao, Huadong; Ju, Lili; Duddu, Ravindra; Li, Hongwei
2020
High order explicit local time stepping methods for hyperbolic conservation laws. Zbl 1436.65130
Hoang, Thi-Thao-Phuong; Ju, Lili; Leng, Wei; Wang, Zhu
2020
A discontinuous Galerkin method with penalty for one-dimensional nonlocal diffusion problems. Zbl 1449.65242
Du, Qiang; Ju, Lili; Lu, Jianfang; Tian, Xiaochuan
2020
A space-time adaptive finite element method with exponential time integrator for the phase field model of pitting corrosion. Zbl 1453.65317
Gao, Huadong; Ju, Lili; Li, Xiao; Duddu, Ravindra
2020
Nonoverlapping localized exponential time differencing methods for diffusion problems. Zbl 1431.65063
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2020
A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions. Zbl 1433.65321
Tian, Hao; Zhang, Jing; Ju, Lili
2020
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. Zbl 1419.65018
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2019
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Zbl 1405.65118
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
An additive overlapping domain decomposition method for the Helmholtz equation. Zbl 1416.65501
Leng, Wei; Ju, Lili
2019
Conservative explicit local time-stepping schemes for the shallow water equations. Zbl 1451.65133
Hoang, Thi-Thao-Phuong; Leng, Wei; Ju, Lili; Wang, Zhu; Pieper, Konstantin
2019
Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. Zbl 1419.65058
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions. Zbl 1414.65028
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
Overlapping localized exponential time differencing methods for diffusion problems. Zbl 1410.65361
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2019
A fast compact time integrator method for a family of general order semilinear evolution equations. Zbl 1452.65161
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
Linear and unconditionally energy stable schemes for the multi-component two-phase diffuse interface model with Peng-Robinson equation of state. Zbl 1473.65128
Zhang, Chenfei; Li, Hongwei; Zhang, Xiaoping; Ju, Lili
2019
Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. Zbl 1483.65141
Li, Xiao; Ju, Lili; Meng, Xucheng
2019
A stabilized semi-implicit Euler gauge-invariant method for the time-dependent Ginzburg-Landau equations. Zbl 1426.82074
Gao, Huadong; Ju, Lili; Xie, Wen
2019
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. Zbl 1448.65182
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Zhang, Hui
2018
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. Zbl 1395.65099
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2018
Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state. Zbl 1398.65305
Li, Hongwei; Ju, Lili; Zhang, Chenfei; Peng, Qiujin
2018
An exponential time-integrator scheme for steady and unsteady inviscid flows. Zbl 1395.76060
Li, Shu-Jie; Luo, Li-Shi; Wang, Z. J.; Ju, Lili
2018
A fast algorithm for solving the space-time fractional diffusion equation. Zbl 1409.65053
Duo, Siwei; Ju, Lili; Zhang, Yanzhi
2018
An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. Zbl 1405.65158
Zhang, Xiaoping; Wu, Jiming; Ju, Lili
2018
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model. Zbl 1439.74165
Yang, Xiaofeng; Ju, Lili
2017
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model. Zbl 1439.76029
Yang, Xiaofeng; Ju, Lili
2017
A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization. Zbl 1439.65134
Tian, Hao; Ju, Lili; Du, Qiang
2017
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. Zbl 1349.92015
Wang, Xiaoqiang; Ju, Lili; Du, Qiang
2016
Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations. Zbl 1342.65187
Zhu, Liyong; Ju, Lili; Zhao, Weidong
2016
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
2015
Nonlocal convection-diffusion problems and finite element approximations. Zbl 1423.74925
Tian, Hao; Ju, Lili; Du, Qiang
2015
A numerical method and its error estimates for the decoupled forward-backward stochastic differential equations. Zbl 06799394
Zhao, Weidong; Zhang, Wei; Ju, Lili
2014
Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations. Zbl 1304.65190
Ju, Lili; Liu, Xinfeng; Leng, Wei
2014
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. Zbl 1351.86030
Leng, Wei; Ju, Lili; Xie, Yan; Cui, Tao; Gunzburger, Max
2014
A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets. Zbl 1373.86004
Leng, Wei; Ju, Lili; Gunzburger, Max; Price, Stephen
2014
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Zbl 1327.65101
Du, Qiang; Ju, Lili; Tian, Li; Zhou, Kun
2013
Error estimates of the Crank-Nicolson scheme for solving backward stochastic differential equations. Zbl 1281.65016
Zhao, Weidong; Li, Yang; Ju, Lili
2013
Covolume-upwind finite volume approximations for linear elliptic partial differential equations. Zbl 1277.76052
Ju, Lili; Tian, Li; Xiao, Xiao; Zhao, Weidong
2012
Generalized edge-weighted centroidal Voronoi tessellations for geometry processing. Zbl 1268.65029
Wang, Yu; Ju, Lili; Wang, Desheng; Wang, Xiaoqiang
2012
Finite element approximation of the Cahn-Hilliard equation on surfaces. Zbl 1230.80010
Du, Qiang; Ju, Lili; Tian, Li
2011
Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling. Zbl 1265.76046
Zhang, Huai; Ju, Lili; Gunzburger, Max; Ringler, Todd; Price, Stephen
2011
Image segmentation using local variation and edge-weighted centroidal Voronoi tessellations. Zbl 1372.94260
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2011
A stable multistep scheme for solving backward stochastic differential equations. Zbl 1234.60068
Zhao, Weidong; Zhang, Guannan; Ju, Lili
2010
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
A variational phase field method for curve smoothing. Zbl 1185.65023
Zhu, Liyong; Wang, Yu; Ju, Lili; Wang, Desheng
2010
Nguyen, Hoa; Gunzburger, Max; Ju, Lili; Burkardt, John
2009
An edge-weighted centroidal Voronoi tessellation model for image segmentation. Zbl 1371.94399
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2009
Constrained CVT meshes and a comparison of triangular mesh generators. Zbl 1152.65035
Nguyen, Hoa; Burkardt, John; Gunzburger, Max; Ju, Lili; Saka, Yuki
2009
A finite volume method on general surfaces and its error estimates. Zbl 1160.65340
Ju, Lili; Du, Qiang
2009
Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces. Zbl 1166.65057
Du, Qiang; Ju, Lili; Tian, Li
2009
A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces. Zbl 1229.65192
Ju, Lili; Tian, Li; Wang, Desheng
2009
Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization. Zbl 1165.65077
Ju, Lili; Wu, Wensong; Zhao, Weidong
2009
Nondegeneracy and weak global convergence of the Lloyd algorithm in $$\mathbb{R}^D$$. Zbl 1171.65012
Emelianenko, Maria; Ju, Lili; Rand, Alexander
2008
Convergence analysis of a splitting method for stochastic differential equations. Zbl 1163.65004
Zhao, Weidong; Tian, Li; Ju, Lili
2008
Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation. Zbl 1132.65012
Ju, Lili
2007
Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. Zbl 1115.65017
Du, Qiang; Emelianenko, Maria; Ju, Lili
2006
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099
Ju, Lili; Gunzburger, Max; Zhao, Weidong
2006
A numerical method for exact boundary controllability problems for the wave equation. Zbl 1248.93026
Gunzburger, M.; Hou, L. S.; Ju, L.
2006
Centroidal Voronoi tessellation algorithms for image compression, segmentation, and multichannel restoration. Zbl 1478.94033
Du, Qiang; Gunzburger, Max; Ju, Lili; Wang, Xiaoqiang
2006
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Zbl 1221.65293
Du, Qiang; Ju, Lili
2005
Finite volume methods on spheres and spherical centroidal Voronoi meshes. Zbl 1099.65107
Du, Qiang; Ju, Lili
2005
Numerical simulations of the quantized vortices on a thin superconducting hollow sphere. Zbl 1076.82549
Du, Qiang; Ju, Lili
2004
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Approximation of exact boundary controllability problems for the 1-D wave equation by optimization-based method. Zbl 1036.65056
Ju, Lili; Gunzburger, Max D.; Hou, L. Steven
2003
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
2002
Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009
Du, Qiang; Gunzburger, Max; Ju, Lili
2002
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### Cited by 866 Authors

 61 Ju, Lili 41 Du, Qiang 27 Gunzburger, Max D. 27 Zhao, Weidong 20 Yang, Xiaofeng 14 Feng, Xinlong 13 Li, Xiao 12 Qiao, Zhonghua 12 Wang, Cheng 11 Kim, Junseok 11 Shen, Jie 10 Zhao, Jia 9 Wang, Zhu 9 Xiao, Xufeng 9 Yang, Jiang 9 Yang, Junxiang 8 Gong, Yuezheng 8 Li, Yibao 8 Nie, Yufeng 8 Tian, Xiaochuan 8 Wang, Desheng 8 Wang, Qi 8 Wang, Yushun 8 Zhou, Tao 7 Cai, Wenjun 7 Chen, Wenbin 7 Cheng, Qing 7 Kou, Jisheng 7 Leng, Wei 7 Sun, Shuyu 7 Sun, Yabing 6 Liu, Zhengguang 6 Qian, Xu 6 Song, Songhe 6 Wang, Xiuhua 6 Xu, Zhuangzhi 5 Burkardt, John V. 5 Dehghan Takht Fooladi, Mehdi 5 D’Elia, Marta 5 Fu, Yu 5 Hoang, Thi-Thao-Phuong 5 Hou, Dianming 5 Hu, Dongdong 5 Huang, Yunqing 5 Li, Buyang 5 Li, Xiaoli 5 Teng, Long 5 Tian, Li 5 Wang, Xiaoqiang 5 Wise, Steven M. 5 Zhang, Hong 5 Zhang, Weiwei 5 Zhu, Liyong 4 Chen, Chuanjun 4 Chen, Qingshan 4 Fu, Yayun 4 Han, Daozhi 4 Jiang, Nan 4 Li, Hongwei 4 Li, Weijia 4 Temam, Roger Meyer 4 Tian, Hao 4 Xu, Chuanju 4 Yan, JingYe 4 Yin, Xiaobo 4 Zhang, Xiaoping 4 Zhang, Zhiyue 4 Zhou, Zhi 3 Abbaszadeh, Mostafa 3 Bao, Feng 3 Burkovska, Olena 3 Cao, Yanzhao 3 Elliott, Charles M. 3 Foster, John T. jun. 3 Ganesh, Mahadevan 3 Gao, Huadong 3 Jeong, Darae 3 Jiang, Chaolong 3 Jing, Xiaobo 3 Leiderman, Karin M. 3 Leng, Yu 3 Li, Jingwei 3 Liao, HongLin 3 Littlewood, David J. 3 Liu, Chun 3 Liu, Xinfeng 3 Lowengrub, John Samuel 3 Lu, Jianfang 3 Mei, Liquan 3 Nave, Jean-Christophe 3 Rabczuk, Timon 3 Seleson, Pablo 3 Thompson, Ty 3 Wang, Hong 3 Wang, Kun 3 Wang, Xiaoming 3 Xie, Hehu 3 Yan, Yue 3 Yang, Huanhuan 3 Zhai, Shuying ...and 766 more Authors
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### Cited in 108 Serials

 70 Journal of Computational Physics 59 Journal of Scientific Computing 49 Computer Methods in Applied Mechanics and Engineering 29 Computers & Mathematics with Applications 26 Communications in Computational Physics 21 Journal of Computational and Applied Mathematics 21 SIAM Journal on Numerical Analysis 21 Applied Numerical Mathematics 20 SIAM Journal on Scientific Computing 18 Applied Mathematics and Computation 12 Applied Mathematics Letters 12 Advances in Applied Mathematics and Mechanics 11 Numerical Algorithms 8 Mathematics of Computation 8 Numerische Mathematik 8 Numerical Methods for Partial Differential Equations 7 Mathematics and Computers in Simulation 7 Communications in Nonlinear Science and Numerical Simulation 7 International Journal of Numerical Analysis and Modeling 6 Computer Aided Geometric Design 6 Engineering Analysis with Boundary Elements 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Science China. Mathematics 4 Applied Mathematical Modelling 4 Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 Discrete and Continuous Dynamical Systems. Series B 4 Multiscale Modeling & Simulation 4 Discrete and Continuous Dynamical Systems. Series S 4 East Asian Journal on Applied Mathematics 4 Communications on Applied Mathematics and Computation 3 Journal of the Franklin Institute 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 International Journal for Numerical Methods in Engineering 3 International Journal of Computer Mathematics 3 SIAM Review 3 Journal of Mathematical Imaging and Vision 3 Fractional Calculus & Applied Analysis 3 Advances in Difference Equations 2 Computers and Fluids 2 Journal of Mathematical Physics 2 SIAM Journal on Control and Optimization 2 Computational Mechanics 2 Computational Mathematics and Mathematical Physics 2 Computational Geosciences 2 Research in the Mathematical Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computational Mathematics 1 Physica D 1 Neural Networks 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Statistics 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Celestial Mechanics and Dynamical Astronomy 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Journal of Mathematical Sciences (New York) 1 International Journal of Computer Vision 1 Monte Carlo Methods and Applications 1 Applied Mathematical Finance 1 Journal of Difference Equations and Applications 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Methods of Operations Research 1 Extremes 1 Interfaces and Free Boundaries 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Milan Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 Inverse Problems and Imaging 1 SIAM Journal on Imaging Sciences 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 East Asian Mathematical Journal 1 International Journal of Numerical Methods and Applications ...and 8 more Serials
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### Cited in 36 Fields

 481 Numerical analysis (65-XX) 247 Partial differential equations (35-XX) 122 Fluid mechanics (76-XX) 55 Mechanics of deformable solids (74-XX) 44 Probability theory and stochastic processes (60-XX) 34 Statistical mechanics, structure of matter (82-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 23 Integral equations (45-XX) 22 Computer science (68-XX) 20 Geophysics (86-XX) 18 Biology and other natural sciences (92-XX) 16 Systems theory; control (93-XX) 15 Real functions (26-XX) 10 Ordinary differential equations (34-XX) 10 Statistics (62-XX) 8 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Information and communication theory, circuits (94-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Optics, electromagnetic theory (78-XX) 6 Functional analysis (46-XX) 6 Convex and discrete geometry (52-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX)