## Zhang, Guilai

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 Author ID: zhang.guilai Published as: Zhang, Gui-Lai; Zhang, Guilai; Zhang, G. L.
 Documents Indexed: 42 Publications since 1990 Co-Authors: 12 Co-Authors with 9 Joint Publications 1,128 Co-Co-Authors
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### Co-Authors

 8 single-authored 3 Liu, Mingzhu 3 Merkin, John H. 3 Song, Minghui 2 Scott, Stephen K. 2 Stewart, Gilbert Wright 2 Wang, Hui 1 Audebert, Bruno 1 Bochtis, D. D. 1 Bowers, Melissa R. 1 Chebli, R. 1 Coutier-Delgosha, Olivier 1 De Courcy-Ireland, Matthew 1 Eibl, Manfred 1 Elman, Howard C. 1 Feng, Lixin 1 Feng, Yuanjing 1 Ferrari, Silvia 1 Fragos, V. P. 1 Groom, Kenneth N. 1 Jia, Nuo 1 Khaliq, Abdul Q. M. 1 Kueppers, M. 1 Li, Yuanke 1 Liu, Chao 1 Liu, Songshu 1 Liu, Xing 1 Martelli, Francesco 1 Ng, Wai Man 1 Nikita-Martzopoulou, Ch. 1 Ntinas, G. K. 1 Reddy, Junuthula Narasimha 1 Reshniak, Viktor 1 Sonsino, Cetin Morris 1 Speh, Birgit 1 Tian, Wei 1 van der Hoeven, Joris 1 Voss, David A. 1 Wang, Weiming 1 Wang, Xiaoqin 1 Xun, Xinying 1 Yu, Li 1 Zhang, Ling
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### Serials

 6 Applied Mathematics and Computation 2 IMA Journal of Applied Mathematics 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Mathematics in Practice and Theory 2 Applied Numerical Mathematics 2 Advances in Difference Equations 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Journal of Statistical Physics 1 Physica A 1 Computing 1 Mathematische Zeitschrift 1 Studies in Applied Mathematics 1 International Journal of Production Research 1 Parallel Computing 1 Journal of Symbolic Computation 1 Computers & Operations Research 1 Mathematical and Computer Modelling 1 Journal of Intelligent & Robotic Systems 1 Journal of Natural Science of Heilongjiang University 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Abstract and Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 Journal of Applied Mathematics 1 International Journal of Fatigue 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Statistical Mechanics: Theory and Experiment 1 Journal of Physics A: Mathematical and Theoretical
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### Fields

 16 Ordinary differential equations (34-XX) 15 Numerical analysis (65-XX) 7 Operations research, mathematical programming (90-XX) 5 Fluid mechanics (76-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Partial differential equations (35-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 273 times in 16 Documents Cited by Year
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. Zbl 1349.74016
Lim, C. W.; Zhang, G.; Reddy, J. N.
2015
Standing wave solutions for discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearity. Zbl 1290.35248
Pankov, A.; Zhang, G.
2011
Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations. Zbl 1323.34085
Zhang, G. L.; Song, M. H.; Liu, M. Z.
2015
Characteristic set method for differential-difference polynomial systems. Zbl 1169.13019
Gao, X. S.; van der Hoeven, J.; Yuan, C. M.; Zhang, G. L.
2009
Split-step Milstein methods for multi-channel stiff stochastic differential systems. Zbl 1306.65008
Reshniak, V.; Khaliq, A. Q. M.; Voss, D. A.; Zhang, G.
2015
Asymptotic stability of a class of impulsive delay differential equations. Zbl 1255.34079
Zhang, G. L.; Song, M. H.; Liu, M. Z.
2012
Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations. Zbl 1291.65237
Liu, Xing; Zhang, G. L.; Liu, M. Z.
2014
On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016
Stewart, G. W.; Zhang, G.
1991
Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations. Zbl 1338.34133
Zhang, G. L.; Song, Minghui; Liu, M. Z.
2015
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027
Stewart, G. W.; Zhang, G.
1991
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
2018
Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments. Zbl 1329.65167
Zhang, G. L.
2016
The structure factor of primes. Zbl 1436.11010
Zhang, G.; Martelli, F.; Torquato, S.
2018
Simultaneous tolerancing for design and manufacturing. Zbl 0919.90082
Zhang, G.
1996
Reaction-diffusion model for combustion with fuel consumption. I: Dirichlet boundary conditions. Zbl 0775.76214
Zhang, G.; Merkin, J. H.; Scott, S. K.
1991
Worst-case analysis of the FFH algorithm for online variable-sized bin packing. Zbl 0843.90060
Zhang, G.
1996
Exponential stability of impulsive delay differential equations. Zbl 1302.34110
Zhang, G. L.; Song, Ming Hui; Liu, Ming Zhu
2013
Global analysis of predator-prey system with hawk and dove tactics. Zbl 1196.34062
Wang, X.; Wang, W.; Zhang, G.
2010
Reaction-diffusion model for combustion with fuel consumption. II: Robin boundary conditions. Zbl 0786.76100
Zhang, G.; Merkin, J. H.; Scott, S. K.
1993
High order Runge-Kutta methods for impulsive delay differential equations. Zbl 1426.65101
Zhang, Gui-Lai
2017
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups. Zbl 1341.22012
Speh, B.; Zhang, G.
2016
Cluster analysis to minimize sequence dependent changeover times. Zbl 0834.90062
Bowers, M. R.; Groom, K.; Ng, W. M.; Zhang, G.
1995
Asymptotical stability of numerical methods for semi-linear impulsive differential equations. Zbl 1449.65156
Zhang, Gui-Lai
2020
Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments. Zbl 1448.65072
Zhang, G. L.; Song, M. H.
2015
Ant colony pattern search algorithms for unconstrained and bound constrained optimization. Zbl 1193.90218
Feng, Y. J.; Yu, Li; Zhang, G. L.
2007
Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030
Zhang, G.; Elman, H. C.
1992
Airflow patterns around obstacles with arched and pitched roofs: wind tunnel measurements and direct simulation. Zbl 1297.76083
Ntinas, G. K.; Zhang, G.; Fragos, V. P.; Bochtis, D. D.; Nikita-Martzopoulou, Ch.
2014
Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments. Zbl 1422.65118
Zhang, Gui-Lai
2017
Impulsive continuous Runge-Kutta methods for impulsive delay differential equations. Zbl 1429.65156
Zhang, Gui-Lai; Song, Ming-Hui
2019
Asymptotical stability of numerical methods for semi-linear impulsive differential equations. Zbl 1449.65156
Zhang, Gui-Lai
2020
Impulsive continuous Runge-Kutta methods for impulsive delay differential equations. Zbl 1429.65156
Zhang, Gui-Lai; Song, Ming-Hui
2019
Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064
Hu, C.; Lu, J.; Liu, X.; Zhang, G.
2018
The structure factor of primes. Zbl 1436.11010
Zhang, G.; Martelli, F.; Torquato, S.
2018
High order Runge-Kutta methods for impulsive delay differential equations. Zbl 1426.65101
Zhang, Gui-Lai
2017
Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments. Zbl 1422.65118
Zhang, Gui-Lai
2017
Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments. Zbl 1329.65167
Zhang, G. L.
2016
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups. Zbl 1341.22012
Speh, B.; Zhang, G.
2016
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. Zbl 1349.74016
Lim, C. W.; Zhang, G.; Reddy, J. N.
2015
Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations. Zbl 1323.34085
Zhang, G. L.; Song, M. H.; Liu, M. Z.
2015
Split-step Milstein methods for multi-channel stiff stochastic differential systems. Zbl 1306.65008
Reshniak, V.; Khaliq, A. Q. M.; Voss, D. A.; Zhang, G.
2015
Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations. Zbl 1338.34133
Zhang, G. L.; Song, Minghui; Liu, M. Z.
2015
Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments. Zbl 1448.65072
Zhang, G. L.; Song, M. H.
2015
Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations. Zbl 1291.65237
Liu, Xing; Zhang, G. L.; Liu, M. Z.
2014
Airflow patterns around obstacles with arched and pitched roofs: wind tunnel measurements and direct simulation. Zbl 1297.76083
Ntinas, G. K.; Zhang, G.; Fragos, V. P.; Bochtis, D. D.; Nikita-Martzopoulou, Ch.
2014
Exponential stability of impulsive delay differential equations. Zbl 1302.34110
Zhang, G. L.; Song, Ming Hui; Liu, Ming Zhu
2013
Asymptotic stability of a class of impulsive delay differential equations. Zbl 1255.34079
Zhang, G. L.; Song, M. H.; Liu, M. Z.
2012
Standing wave solutions for discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearity. Zbl 1290.35248
Pankov, A.; Zhang, G.
2011
Global analysis of predator-prey system with hawk and dove tactics. Zbl 1196.34062
Wang, X.; Wang, W.; Zhang, G.
2010
Characteristic set method for differential-difference polynomial systems. Zbl 1169.13019
Gao, X. S.; van der Hoeven, J.; Yuan, C. M.; Zhang, G. L.
2009
Ant colony pattern search algorithms for unconstrained and bound constrained optimization. Zbl 1193.90218
Feng, Y. J.; Yu, Li; Zhang, G. L.
2007
Simultaneous tolerancing for design and manufacturing. Zbl 0919.90082
Zhang, G.
1996
Worst-case analysis of the FFH algorithm for online variable-sized bin packing. Zbl 0843.90060
Zhang, G.
1996
Cluster analysis to minimize sequence dependent changeover times. Zbl 0834.90062
Bowers, M. R.; Groom, K.; Ng, W. M.; Zhang, G.
1995
Reaction-diffusion model for combustion with fuel consumption. II: Robin boundary conditions. Zbl 0786.76100
Zhang, G.; Merkin, J. H.; Scott, S. K.
1993
Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030
Zhang, G.; Elman, H. C.
1992
On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016
Stewart, G. W.; Zhang, G.
1991
Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027
Stewart, G. W.; Zhang, G.
1991
Reaction-diffusion model for combustion with fuel consumption. I: Dirichlet boundary conditions. Zbl 0775.76214
Zhang, G.; Merkin, J. H.; Scott, S. K.
1991
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### Cited by 25 Authors

 3 Zhang, Guilai 1 Balakrishnan, Ganesh Priya 1 Cao, Junying 1 Chen, Lizhen 1 Chen, Xingru 1 Gao, Jing 1 Gu, Haibo 1 Hartung, Ferenc 1 He, Xinyi 1 Hong, Shihuang 1 Kaviya, R. 1 Khristova, Snezhana G. 1 Li, Haixia 1 Li, Xiaodi 1 Li, Xiuying 1 Niezabitowski, Michał 1 Palanisamy, Muthukumar 1 Peng, Yingzi 1 Proytcheva, Valentina 1 Rengamannar, Kaviya 1 Song, Minghui 1 Sun, Yu 1 Wang, Ziqiang 1 Wu, Boying 1 Yeniçerioğlu, Ali Fuat
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### Cited in 9 Serials

 8 Applied Mathematics and Computation 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 International Journal of Computer Mathematics 1 Computational and Applied Mathematics 1 Abstract and Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Advances in Difference Equations 1 Journal of Function Spaces
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### Cited in 6 Fields

 14 Ordinary differential equations (34-XX) 9 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX)