# zbMATH — the first resource for mathematics

## Cai, Li

Compute Distance To:
 Author ID: cai.li Published as: Cai, L.; Cai, Li External Links: Wikidata
 Documents Indexed: 67 Publications since 1993
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#### Co-Authors

 5 single-authored 15 Xie, Wenxian 12 Feng, Jianhu 5 Nie, Yufeng 4 Zhu, Detong 3 Hao, Jianghao 3 Shen, Xiaoqin 3 Wang, Suojin 3 Wang, Zhujun 3 Xu, Wei 3 Yang, Lijian 3 Zhou, Jun 2 Hansen, Mark C. 2 Jin, Lei 2 Li, Yiqiang 2 Shu, Jie 2 Tian, Ye 2 Wei, Caimin 2 Zhang, Weiwei 2 Zhou, Jun 1 Bai, Lin 1 Cao, Shu-Ping 1 Cao, Xiaoshan 1 Chen, Yan 1 Chen, Yihua 1 Cheng, Xiaohan 1 Cui, Huanqing 1 Falk, Carl F. 1 Fang, Jianyu 1 Gao, Hao 1 Gong, Jianliang 1 Guo, Meifang 1 Han, Xiaoyun 1 Hou, Lei 1 Hu, Xuegang 1 Huang, Simin 1 Jin, Yanfei 1 Jin, Zhong 1 Jing, Feifei 1 Lei, Youming 1 Li, Chao 1 Li, Jianfen 1 Li, Linjin 1 Li, Lisha 1 Li, Nong 1 Li, Yongxiong 1 Li, Zhen 1 Liu, Rong 1 Liu, Xiaoqiang 1 Liu, Yu 1 Luo, Xiaoyu 1 Ma, Liang 1 Monroe, Scott 1 Nonst 1 Peng, Zhen 1 Pu, Dingguo 1 Qi, Nan 1 Su, Yifan 1 Sun, Ye 1 Tian, Weiwen 1 Wang, Jianjun 1 Wang, Sen 1 Wang, ZhangJie 1 Wen, Jihong 1 Xu, Bin 1 Xu, Fangqin 1 Xu, Jianwen 1 Xue, Yongjie 1 Yang, Qian 1 Yang, Xiaokuo 1 Ying, Wenjun 1 Yu, Dianlong 1 Yue, XiaoLe 1 Zhai, Shuai 1 Zhang, Bin 1 Zhang, Fubao 1 Zhang, Xiaoxuan 1 Zhang, Yu 1 Zhou, Fengqi
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#### Serials

 6 Applied Mathematics and Computation 4 Psychometrika 4 Applied Numerical Mathematics 3 Applied Mathematical Modelling 2 British Journal of Mathematical & Statistical Psychology 2 Acta Mathematicae Applicatae Sinica. English Series 2 Acta Physica Sinica 2 Test 1 International Journal of Modern Physics B 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 American Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Opsearch 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series A 1 Journal of East China Normal University. Natural Science Edition 1 Journal of Computational Mathematics 1 IMRN. International Mathematics Research Notices 1 Journal of Statistical Computation and Simulation 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Statistica Sinica 1 Journal on Numerical Methods and Computer Applications 1 Journal of Shanghai University. Natural Science 1 Journal of Shanghai University 1 Communications in Nonlinear Science and Numerical Simulation 1 CMES. Computer Modeling in Engineering & Sciences 1 Algebraic & Geometric Topology 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 International Journal of Numerical Analysis and Modeling 1 Journal of Anhui University. Natural Science Edition 1 Algebra & Number Theory 1 Electronic Journal of Statistics 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation 1 Journal of Elliptic and Parabolic Equations 1 SN Partial Differential Equations and Applications
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#### Fields

 16 Numerical analysis (65-XX) 12 Statistics (62-XX) 12 Fluid mechanics (76-XX) 10 Partial differential equations (35-XX) 8 Operations research, mathematical programming (90-XX) 5 Number theory (11-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

35 Publications have been cited 145 times in 99 Documents Cited by Year
Explicit Gross-Zagier and Waldspurger formulae. Zbl 1311.11054
Cai, Li; Shu, Jie; Tian, Ye
2014
High-dimensional exploratory item factor analysis by a Metropolis-Hastings Robbins-Monro algorithm. Zbl 1272.62113
Cai, Li
2010
A CWENO-type central-upwind scheme for ideal MHD equations. Zbl 1109.76039
Cai, Li; Feng, Jian-Hu; Xie, Wen-Xian
2005
CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations. Zbl 1092.76039
Feng, Jianhu; Cai, Li; Xie, Wenxian
2006
A two-tier full-information item factor analysis model with applications. Zbl 1208.62183
Cai, Li
2010
Computations of shallow water equations with high-order central-upwind schemes on triangular meshes. Zbl 1124.76007
Xie, Wenxian; Cai, Li; Feng, Jianhu; Xu, Wei
2005
A smooth simultaneous confidence band for conditional variance function. Zbl 1327.62194
Cai, Li; Yang, Lijian
2015
Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method. Zbl 1139.76326
Cai, Li; Feng, Jian-Hu; Xie, Wen-Xian; Zhou, Jun
2006
Computations of steady and unsteady transport of pollutant in shallow water. Zbl 1088.76030
Cai, Li; Feng, Jianhu; Xie, Wenxian; Zhou, Jun
2006
Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations. Zbl 1096.37029
Xie, W. X.; Xu, W.; Cai, L.
2005
Computations of transport of pollutant in shallow water. Zbl 1146.76033
Cai, Li; Xie, Wenxian; Feng, Jianhu; Zhou, Jun
2007
Numerical simulation for two-phase flows using hybrid scheme. Zbl 1118.76044
Zhou, Jun; Cai, Li; Feng, Jianhu; Xie, Wenxian
2007
Study of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations by path integration. Zbl 1088.65003
Xie, W. X.; Xu, Wenxian; Cai, L.
2006
Cube sum problem and an explicit Gross-Zagier formula. Zbl 1434.11114
Cai, Li; Shu, Jie; Tian, Ye
2017
On products in a real moment-angle manifold. Zbl 1421.55004
Cai, Li
2017
Numerical meshfree path integration method for non-linear dynamic systems. Zbl 1135.65408
Xie, Wen-Xian; Xu, Wei; Cai, Li
2008
Tracking entropy wave in ideal MHD equations by weighted ghost fluid method. Zbl 1117.76075
Xie, Wenxian; Cai, Li; Feng, Jianhu
2007
An elastic shell model for the human tricuspid valve. Zbl 07063442
Shen, Xiao-Qin; Yang, Qian; Li, Lin-Jin; Cai, Li; Cao, Xiao-Shan
2019
Simultaneous confidence bands for mean and variance functions based on deterministic design. Zbl 1412.62213
Cai, Li; Liu, Rong; Wang, Suojin; Yang, Lijian
2019
Heegner points on modular curves. Zbl 1439.11153
Cai, Li; Chen, Yihua; Liu, Yu
2018
Numerical path integration method based on bubble grids for nonlinear dynamical systems. Zbl 1352.65016
Cai, Li; Nie, Yufeng; Xie, Wenxian; Zhang, Weiwei
2013
New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws. Zbl 1139.65066
Zhou, Jun; Cai, Li; Zhou, Feng-Qi
2008
Generalized mixed variational methods for Reissner plate and its applications. Zbl 1146.74357
Cai, L.; Rong, T.; Chen, D.
2002
Limited-information goodness-of-fit testing of diagnostic classification item response models. Zbl 1406.91357
Hansen, Mark; Cai, Li; Monroe, Scott; Li, Zhen
2016
A discrete-time Geom/G/1 retrial queue with balking customers and second optional service. Zbl 1360.90104
Wei, Cai-Min; Cai, Li; Wang, Jian-Jun
2016
General decay of solutions for a system of coupled viscoelastic wave equations with source terms. Zbl 1361.35031
Hao, Jianghao; Cai, Li
2016
Maximum marginal likelihood estimation of a monotonic polynomial generalized partial credit model with applications to multiple group analysis. Zbl 1345.62146
Falk, Carl F.; Cai, Li
2016
Uniform decay of solutions for coupled viscoelastic wave equations. Zbl 1342.35163
Hao, Jianghao; Cai, Li
2016
Global existence and blowup of solutions for nonlinear coupled wave equations with viscoelastic terms. Zbl 1338.35275
Hao, Jianghao; Cai, Li
2016
Residues of intertwining operators for $$U(3,3)$$ and base change. Zbl 1321.22020
Cai, Li; Xu, Bin
2015
A line search filter inexact reduced Hessian method for nonlinear equality constrained optimization. Zbl 1317.49043
Cai, Li; Wang, Zhujun; Zhu, Detong
2015
An adaptive discretization of incompressible flow using node-based local meshes. Zbl 1356.76079
Zhang, Weiwei; Nie, Yufeng; Cai, Li; Qi, Nan
2014
High-resolution semi-discrete Hermite central-upwind scheme for multidimensional Hamilton-Jacobi equations. Zbl 1288.65134
Cai, Li; Xie, Wenxian; Nie, Yufeng; Feng, Jianhu
2014
Limited-information goodness-of-fit testing of hierarchical item factor models. Zbl 1406.91346
Cai, Li; Hansen, Mark
2013
Fluid simulation using an adaptive semi-discrete central-upwind scheme. Zbl 1198.76073
Cai, L.; Zhou, J.; Feng, J.-H.; Xie, W.-X.
2007
An elastic shell model for the human tricuspid valve. Zbl 07063442
Shen, Xiao-Qin; Yang, Qian; Li, Lin-Jin; Cai, Li; Cao, Xiao-Shan
2019
Simultaneous confidence bands for mean and variance functions based on deterministic design. Zbl 1412.62213
Cai, Li; Liu, Rong; Wang, Suojin; Yang, Lijian
2019
Heegner points on modular curves. Zbl 1439.11153
Cai, Li; Chen, Yihua; Liu, Yu
2018
Cube sum problem and an explicit Gross-Zagier formula. Zbl 1434.11114
Cai, Li; Shu, Jie; Tian, Ye
2017
On products in a real moment-angle manifold. Zbl 1421.55004
Cai, Li
2017
Limited-information goodness-of-fit testing of diagnostic classification item response models. Zbl 1406.91357
Hansen, Mark; Cai, Li; Monroe, Scott; Li, Zhen
2016
A discrete-time Geom/G/1 retrial queue with balking customers and second optional service. Zbl 1360.90104
Wei, Cai-Min; Cai, Li; Wang, Jian-Jun
2016
General decay of solutions for a system of coupled viscoelastic wave equations with source terms. Zbl 1361.35031
Hao, Jianghao; Cai, Li
2016
Maximum marginal likelihood estimation of a monotonic polynomial generalized partial credit model with applications to multiple group analysis. Zbl 1345.62146
Falk, Carl F.; Cai, Li
2016
Uniform decay of solutions for coupled viscoelastic wave equations. Zbl 1342.35163
Hao, Jianghao; Cai, Li
2016
Global existence and blowup of solutions for nonlinear coupled wave equations with viscoelastic terms. Zbl 1338.35275
Hao, Jianghao; Cai, Li
2016
A smooth simultaneous confidence band for conditional variance function. Zbl 1327.62194
Cai, Li; Yang, Lijian
2015
Residues of intertwining operators for $$U(3,3)$$ and base change. Zbl 1321.22020
Cai, Li; Xu, Bin
2015
A line search filter inexact reduced Hessian method for nonlinear equality constrained optimization. Zbl 1317.49043
Cai, Li; Wang, Zhujun; Zhu, Detong
2015
Explicit Gross-Zagier and Waldspurger formulae. Zbl 1311.11054
Cai, Li; Shu, Jie; Tian, Ye
2014
An adaptive discretization of incompressible flow using node-based local meshes. Zbl 1356.76079
Zhang, Weiwei; Nie, Yufeng; Cai, Li; Qi, Nan
2014
High-resolution semi-discrete Hermite central-upwind scheme for multidimensional Hamilton-Jacobi equations. Zbl 1288.65134
Cai, Li; Xie, Wenxian; Nie, Yufeng; Feng, Jianhu
2014
Numerical path integration method based on bubble grids for nonlinear dynamical systems. Zbl 1352.65016
Cai, Li; Nie, Yufeng; Xie, Wenxian; Zhang, Weiwei
2013
Limited-information goodness-of-fit testing of hierarchical item factor models. Zbl 1406.91346
Cai, Li; Hansen, Mark
2013
High-dimensional exploratory item factor analysis by a Metropolis-Hastings Robbins-Monro algorithm. Zbl 1272.62113
Cai, Li
2010
A two-tier full-information item factor analysis model with applications. Zbl 1208.62183
Cai, Li
2010
Numerical meshfree path integration method for non-linear dynamic systems. Zbl 1135.65408
Xie, Wen-Xian; Xu, Wei; Cai, Li
2008
New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws. Zbl 1139.65066
Zhou, Jun; Cai, Li; Zhou, Feng-Qi
2008
Computations of transport of pollutant in shallow water. Zbl 1146.76033
Cai, Li; Xie, Wenxian; Feng, Jianhu; Zhou, Jun
2007
Numerical simulation for two-phase flows using hybrid scheme. Zbl 1118.76044
Zhou, Jun; Cai, Li; Feng, Jianhu; Xie, Wenxian
2007
Tracking entropy wave in ideal MHD equations by weighted ghost fluid method. Zbl 1117.76075
Xie, Wenxian; Cai, Li; Feng, Jianhu
2007
Fluid simulation using an adaptive semi-discrete central-upwind scheme. Zbl 1198.76073
Cai, L.; Zhou, J.; Feng, J.-H.; Xie, W.-X.
2007
CWENO-type central-upwind schemes for multidimensional Saint-Venant system of shallow water equations. Zbl 1092.76039
Feng, Jianhu; Cai, Li; Xie, Wenxian
2006
Tracking discontinuities in shallow water equations and ideal magnetohydrodynamics equations via ghost fluid method. Zbl 1139.76326
Cai, Li; Feng, Jian-Hu; Xie, Wen-Xian; Zhou, Jun
2006
Computations of steady and unsteady transport of pollutant in shallow water. Zbl 1088.76030
Cai, Li; Feng, Jianhu; Xie, Wenxian; Zhou, Jun
2006
Study of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations by path integration. Zbl 1088.65003
Xie, W. X.; Xu, Wenxian; Cai, L.
2006
A CWENO-type central-upwind scheme for ideal MHD equations. Zbl 1109.76039
Cai, Li; Feng, Jian-Hu; Xie, Wen-Xian
2005
Computations of shallow water equations with high-order central-upwind schemes on triangular meshes. Zbl 1124.76007
Xie, Wenxian; Cai, Li; Feng, Jianhu; Xu, Wei
2005
Path integration of the Duffing-Rayleigh oscillator subject to harmonic and stochastic excitations. Zbl 1096.37029
Xie, W. X.; Xu, W.; Cai, L.
2005
Generalized mixed variational methods for Reissner plate and its applications. Zbl 1146.74357
Cai, L.; Rong, T.; Chen, D.
2002
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#### Cited by 185 Authors

 20 Cai, Li 9 Xie, Wenxian 8 Feng, Jianhu 5 Yang, Lijian 4 Chen, Yunxiao 4 Nie, Yufeng 3 Jeon, Minjeong 3 Li, Xiaoou 3 Li, Yongxiong 3 Liu, Yang 3 Rabe-Hesketh, Sophia 3 Tian, Ye 3 Wang, Suojin 3 Xu, Wei 2 Burungale, Ashay A. 2 Coates, John H. 2 De Barros, Laécio Carvalho 2 Disegni, Daniel 2 Hannig, Jan 2 Hu, Yueke 2 Li, Chao 2 Liu, Jingchen 2 Mok, Chung Pang 2 Ren, Zhicong 2 Rijmen, Frank 2 Shen, Xiaoqin 2 Shu, Jie 2 Silveira, Graciele P. 2 Wang, Jiangyan 2 Yin, Hongbo 2 Ying, Zhiliang 2 Zhang, Weiwei 2 Zhou, Jun 2 Zhou, Jun 1 An, Xinming 1 Andersson, Björn 1 Ashlyn, Stacy 1 Bacci, Silvia 1 Bai, Lin 1 Banasiak, Krzysztof 1 Bentler, Peter M. 1 Buliński, Zbigniew P. 1 Burrows, Richard 1 Cagnone, Silvia 1 Campbell, Cameron 1 Carstensen, Claus H. 1 Cen, Song 1 Charron, Martin 1 Chen, Liqun 1 Chen, Yihua 1 Cheng, Xiaohan 1 Choi, Suyoung 1 Dasgupta, Samit 1 de la Cruz, Rolando 1 Delbourgo, Daniel 1 Diamessis, Peter J. 1 Edwards, Michael C. 1 Escobar-Vargas, J. A. 1 Falk, Carl F. 1 Fang, Zhongbo 1 Feng, Jianghua 1 Feuerstahler, Leah M. 1 Fic, Adam 1 File, Daniel 1 Gao, Cunchen 1 Gao, Wujun 1 Gao, Zhiming 1 Ghegal, Samah 1 Giraldo, Francis X. 1 Gnaldi, Michela 1 Goh, Bean San 1 Greiff, Samuel 1 Gu, Lijie 1 Hafner, Armin 1 Hamchi, Ilhem 1 Härdle, Wolfgang Karl 1 Harno, Hendra G. 1 Huang, Simin 1 Hung, Pin-Chi 1 Jain, Madhu 1 Jiang, Wen’an 1 Jiang, Zhehan 1 Jin, Lei 1 Kaji, Shizuo 1 Kezuka, Yukako 1 Kohen, Daniel 1 Kong, Xinbing 1 Kriz, Daniel 1 Kunze, Thiemo 1 Lahooti, Mohsen 1 Lee, Mi Jin 1 Lee, Misung 1 Lei, Antonio 1 Li, Chuan 1 Li, Linjin 1 Li, Lisha 1 Li, Xiangrong 1 Li, Xiaomin 1 Lim, King Hann 1 Limonchenko, Ivan Yur’evich ...and 85 more Authors
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#### Cited in 51 Serials

 22 Psychometrika 9 Applied Mathematics and Computation 5 Transactions of the American Mathematical Society 5 Applied Numerical Mathematics 5 Applied Mathematical Modelling 4 Test 3 Journal of Scientific Computing 2 Fuzzy Sets and Systems 1 Applicable Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Acta Arithmetica 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 British Journal of Mathematical & Statistical Psychology 1 Compositio Mathematica 1 Duke Mathematical Journal 1 International Journal for Numerical Methods in Engineering 1 Inventiones Mathematicae 1 Journal of the American Statistical Association 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Chinese Annals of Mathematics. Series B 1 Journal of Classification 1 Forum Mathematicum 1 International Journal of Computer Mathematics 1 Journal of Statistical Computation and Simulation 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica 1 Mathematical Problems in Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Boundary Value Problems 1 International Journal of Number Theory 1 Proceedings of the Steklov Institute of Mathematics 1 Acta Mechanica Sinica 1 Algebra & Number Theory 1 Electronic Journal of Statistics 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Statistics and Computing 1 Numerical Algebra, Control and Optimization 1 Journal of Applied Analysis and Computation 1 Forum of Mathematics, Sigma 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Journal of Elliptic and Parabolic Equations
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#### Cited in 23 Fields

 34 Statistics (62-XX) 22 Number theory (11-XX) 22 Numerical analysis (65-XX) 18 Fluid mechanics (76-XX) 14 Partial differential equations (35-XX) 7 Mechanics of deformable solids (74-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Algebraic topology (55-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)

#### Wikidata Timeline

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