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## Li, Tianyun

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 Author ID: li.tianyun Published as: Li, T.; Li, T. Y.; Li, T.-Y.; Li, Tianyun
 Documents Indexed: 38 Publications since 1976
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#### Co-Authors

 0 single-authored 4 Chai, Yingbin 4 Gong, Zhixiong 4 Li, Wei 3 Zhang, Qifan 3 Zhang, Yongou 2 Ouyang, Huajiang 1 Cheng, Congdian 1 Ge, Lindong 1 Hu, Zongyun 1 Huang, Qibai 1 Lim, Chu-Wee 1 Llewellyn Smith, Stefan G. 1 Mao, Yida 1 Niu, Qingyong 1 Qiao, Yufeng 1 Sun, Yangbin 1 Wang, Meishan 1 Wang, Peng 1 You, Xiangyu 1 Zhang, Taiping 1 Zhang, Tao 1 Zhang, Tian 1 Zhu, Xiang 1 Zou, Zhihong
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#### Serials

 4 Engineering Analysis with Boundary Elements 1 Computers & Mathematics with Applications 1 International Journal of Engineering Science 1 Journal of Huazhong University of Science and Technology 1 Mathematical Problems in Engineering 1 Journal of University of Electronic Science and Technology of China 1 International Journal of Computational Methods 1 Advances in Theoretical and Applied Mechanics

#### Fields

 8 Fluid mechanics (76-XX) 5 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

18 Publications have been cited 243 times in 204 Documents Cited by Year
Numerical solution of multivariate polynomial systems by homotopy continuation methods. Zbl 0886.65054
Li, T. Y.
1997
On the number of solutions to polynomial systems of equations. Zbl 0445.65037
Garcia, C. B.; Li, T. Y.
1980
Numerical solution of polynomial systems by homotopy continuation methods. Zbl 1059.65046
Li, T. Y.
2003
Application of smoothed finite element method to two-dimensional exterior problems of acoustic radiation. Zbl 1404.76158
Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan; Zou, Zhihong; Sun, Yangbin
2018
Homotopy method for generalized eigenvalue problems $$Ax=\lambda Bx$$. Zbl 0621.65028
Li, T. Y.; Sauer, T.
1987
Finding mixed cells in the mixed volume computation. Zbl 1012.65019
Li, T. Y.; Li, Xing
2001
Hybrid gradient smoothing technique with discrete shear gap method for shell structures. Zbl 1394.74109
Li, W.; Gong, Z. X.; Chai, Y. B.; Cheng, C.; Li, T. Y.; Zhang, Q. F.; Wang, M. S.
2017
A smoothed finite element method for exterior Helmholtz equation in two dimensions. Zbl 1403.76041
Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan
2017
Analysis of underwater acoustic scattering problems using stable node-based smoothed finite element method. Zbl 1403.76042
Chai, Yingbin; Li, Wei; Li, Tianyun; Gong, Zhixiong; You, Xiangyu
2016
SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing. Zbl 1394.76105
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2015
Lyapunov iterations for solving coupled algebraic Riccati equations of Nash differential games and algebraic Riccati equations of zero-sum games. Zbl 0846.90145
Li, T.-Y.; Gajic, Z.
1995
Efficient SPH simulation of time-domain acoustic wave propagation. Zbl 1403.76173
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2016
Determining dimension of the solution component that contains a computed zero of a polynomial system. Zbl 1133.65028
Kuo, Y. C.; Li, T. Y.
2008
The numerical solution of the Hilbert problem. Zbl 0356.65018
Ikebe, Y.; Li, T. Y.; Stenger, F.
1976
Real zeros of three different cases of polynomials with random coefficients. Zbl 1263.60049
Farahmand, K.; Li, T.
2012
Random trigonometric polynomials with nonidentically distributed coefficients. Zbl 1197.60049
Farahmand, K.; Li, T.
2010
Time-like extra dimension and cosmological constant in brane models. Zbl 0977.83079
Li, T.
2001
Neural network compensation control for output power optimization of wind energy conversion system based on data-driven control. Zbl 1248.93153
Li, T.; Feng, A. J.; Zhao, L.
2012
Application of smoothed finite element method to two-dimensional exterior problems of acoustic radiation. Zbl 1404.76158
Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan; Zou, Zhihong; Sun, Yangbin
2018
Hybrid gradient smoothing technique with discrete shear gap method for shell structures. Zbl 1394.74109
Li, W.; Gong, Z. X.; Chai, Y. B.; Cheng, C.; Li, T. Y.; Zhang, Q. F.; Wang, M. S.
2017
A smoothed finite element method for exterior Helmholtz equation in two dimensions. Zbl 1403.76041
Chai, Yingbin; Gong, Zhixiong; Li, Wei; Li, Tianyun; Zhang, Qifan
2017
Analysis of underwater acoustic scattering problems using stable node-based smoothed finite element method. Zbl 1403.76042
Chai, Yingbin; Li, Wei; Li, Tianyun; Gong, Zhixiong; You, Xiangyu
2016
Efficient SPH simulation of time-domain acoustic wave propagation. Zbl 1403.76173
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2016
SPH simulation of acoustic waves: effects of frequency, sound pressure, and particle spacing. Zbl 1394.76105
Zhang, Y. O.; Zhang, T.; Ouyang, H.; Li, T. Y.
2015
Real zeros of three different cases of polynomials with random coefficients. Zbl 1263.60049
Farahmand, K.; Li, T.
2012
Neural network compensation control for output power optimization of wind energy conversion system based on data-driven control. Zbl 1248.93153
Li, T.; Feng, A. J.; Zhao, L.
2012
Random trigonometric polynomials with nonidentically distributed coefficients. Zbl 1197.60049
Farahmand, K.; Li, T.
2010
Determining dimension of the solution component that contains a computed zero of a polynomial system. Zbl 1133.65028
Kuo, Y. C.; Li, T. Y.
2008
Numerical solution of polynomial systems by homotopy continuation methods. Zbl 1059.65046
Li, T. Y.
2003
Finding mixed cells in the mixed volume computation. Zbl 1012.65019
Li, T. Y.; Li, Xing
2001
Time-like extra dimension and cosmological constant in brane models. Zbl 0977.83079
Li, T.
2001
Numerical solution of multivariate polynomial systems by homotopy continuation methods. Zbl 0886.65054
Li, T. Y.
1997
Lyapunov iterations for solving coupled algebraic Riccati equations of Nash differential games and algebraic Riccati equations of zero-sum games. Zbl 0846.90145
Li, T.-Y.; Gajic, Z.
1995
Homotopy method for generalized eigenvalue problems $$Ax=\lambda Bx$$. Zbl 0621.65028
Li, T. Y.; Sauer, T.
1987
On the number of solutions to polynomial systems of equations. Zbl 0445.65037
Garcia, C. B.; Li, T. Y.
1980
The numerical solution of the Hilbert problem. Zbl 0356.65018
Ikebe, Y.; Li, T. Y.; Stenger, F.
1976
all top 5

#### Cited by 330 Authors

 16 Soriano, J. Miguel 14 Sommese, Andrew John 12 Li, Tien-Yien 10 Chai, Yingbin 10 Verschelde, Jan 9 Hauenstein, Jonathan D. 9 Li, Wei 9 Wampler, Charles W. II 6 Zhang, Yongou 5 Bates, Daniel J. 5 Li, Tianyun 5 Liu, Gui-Rong 4 Bai, Fengshan 4 Chen, Tianran 4 Gong, Zhixiong 4 Jeronimo, Gabriela 4 Lee, Tsung-Lin 4 Morgan, Alexander P. 4 You, Xiangyu 4 Zeng, Zhonggang 4 Zhang, Qifan 3 Cucker, Felipe 3 Cui, Xiangyang 3 Di Rocco, Sandra 3 Dong, Bo 3 Eklund, David 3 Feng, Erbao 3 Herrero, María Isabel 3 Kojima, Masakazu 3 Kostreva, Michael M. 3 Li, Junpu 3 Li, Xiaolin 3 Luo, Zhongxuan 3 Malajovich, Gregorio 3 Mehta, Dhagash 3 Peterson, Chris 3 Sabia, Juan 3 Stenger, Frank 3 Wang, Fajie 3 Yu, Bo 2 Armentano, Diego 2 Bozorgmanesh, Hassan 2 Chen, Linchong 2 Chen, Wen 2 Eaves, B. Curtis 2 Engwerda, Jacob Christiaan 2 Fu, Zhuojia 2 Gao, Tangan 2 Hajarian, Masoud 2 Jiang, Chen 2 Matera, Guillermo 2 Ordóñez Cabrera, Manuel H. 2 Qin, Qinghua 2 Sauer, Timothy D. 2 Telen, Simon 2 Van Barel, Marc 2 Wu, Shaowei 2 Wu, Wenyuan 2 Yu, Yan 2 Zhang, Tao 1 Abd El-Latif, G. M. 1 Adrovic, Danko 1 Aliyu, M. D. S. 1 Allgower, Eugene L. 1 Altenberg, Lee 1 An, Hongli 1 Anderson, David H. 1 Angel, Jordan B. 1 Azaïs, Jean-Marc 1 Banks, Jeffrey W. 1 Barton, Michael H. 1 Basri, Ronen 1 Begehr, Heinrich 1 Berthomieu, Jérémy 1 Besana, Gian Mario 1 Bowling, Alan P. 1 Bozóki, Sándor 1 Cai, Yong 1 Chatterjee, Abhishek 1 Chen, Changbo 1 Chen, Liping 1 Chen, Wen 1 Chen, Xiao-Diao 1 Chen, Yong 1 Cheng, Congdian 1 Chitour, Yacine 1 Choe, Kwangnam 1 Chronopoulos, Anthony Theodore 1 Chu, Moody T. 1 Cifuentes, Diego 1 Colominas, Ignasi 1 Comon, Pierre 1 Cools, Ronald 1 Da Silva, Alex Pereira 1 Dai, Yang 1 Dalmao, Federico 1 Darinskii, Boris M. 1 Dautov, Rafail Z. 1 Davidson, Innocent E. 1 Davis, Brent R. ...and 230 more Authors
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#### Cited in 84 Serials

 28 Applied Mathematics and Computation 20 Engineering Analysis with Boundary Elements 10 Journal of Symbolic Computation 8 Computers & Mathematics with Applications 8 Journal of Computational and Applied Mathematics 7 Mathematics of Computation 6 Journal of Complexity 5 Foundations of Computational Mathematics 4 Computing 4 Theoretical Computer Science 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Computational Physics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Applied Mathematics and Mechanics. (English Edition) 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 International Journal of Computational Methods 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 BIT 2 Computer Aided Geometric Design 2 Discrete & Computational Geometry 2 Applied Mathematics Letters 2 SIAM Journal on Matrix Analysis and Applications 2 Annals of Operations Research 2 Linear Algebra and its Applications 2 Computational Optimization and Applications 2 Mathematical Problems in Engineering 2 Journal of Systems Science and Complexity 2 Acta Numerica 1 Acta Mechanica 1 Communications in Algebra 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of the Franklin Institute 1 Mathematical Biosciences 1 The Mathematical Intelligencer 1 Fortschritte der Physik 1 Annales de l’Institut Fourier 1 Automatica 1 Czechoslovak Mathematical Journal 1 International Journal of Game Theory 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Mathematical Programming 1 Theoretical Population Biology 1 SIAM Journal on Algebraic and Discrete Methods 1 Acta Applicandae Mathematicae 1 Japan Journal of Applied Mathematics 1 Computational Mechanics 1 Journal of Economic Dynamics & Control 1 SIAM Journal on Discrete Mathematics 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 European Journal of Operational Research 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Mathematical Programming. Series A. Series B 1 Celestial Mechanics and Dynamical Astronomy 1 SIAM Journal on Optimization 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Electronic Communications in Probability 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Multibody System Dynamics 1 Optimization Methods & Software 1 Taiwanese Journal of Mathematics 1 Mechanism and Machine Theory 1 Discrete Dynamics in Nature and Society 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Journal of High Energy Physics 1 Nonlinear Analysis. Real World Applications 1 Computational Methods in Applied Mathematics 1 Decisions in Economics and Finance 1 Mediterranean Journal of Mathematics 1 Computational Management Science 1 Frontiers of Mathematics in China 1 SIAM Journal on Imaging Sciences 1 Advances in High Energy Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Algorithms 1 Journal of Control Science and Engineering
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#### Cited in 39 Fields

 138 Numerical analysis (65-XX) 29 Algebraic geometry (14-XX) 27 Field theory and polynomials (12-XX) 26 Real functions (26-XX) 23 Computer science (68-XX) 22 Functions of a complex variable (30-XX) 22 Fluid mechanics (76-XX) 21 Mechanics of deformable solids (74-XX) 20 Commutative algebra (13-XX) 11 Operations research, mathematical programming (90-XX) 9 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Ordinary differential equations (34-XX) 7 Systems theory; control (93-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Optics, electromagnetic theory (78-XX) 5 Convex and discrete geometry (52-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 4 Biology and other natural sciences (92-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX)