Edit Profile (opens in new tab) Zhang, Guilai Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1349.74016Lim, C. W.; Zhang, G.; Reddy, J. N. 142 2015 Standing wave solutions for discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearity. Zbl 1290.35248Pankov, A.; Zhang, G. 20 2011 Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations. Zbl 1323.34085Zhang, G. L.; Song, M. H.; Liu, M. Z. 16 2015 Characteristic set method for differential-difference polynomial systems. Zbl 1169.13019Gao, X. S.; van der Hoeven, J.; Yuan, C. M.; Zhang, G. L. 12 2009 Split-step Milstein methods for multi-channel stiff stochastic differential systems. Zbl 1306.65008Reshniak, V.; Khaliq, A. Q. M.; Voss, D. A.; Zhang, G. 9 2015 Asymptotic stability of a class of impulsive delay differential equations. Zbl 1255.34079Zhang, G. L.; Song, M. H.; Liu, M. Z. 8 2012 Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations. Zbl 1291.65237Liu, Xing; Zhang, G. L.; Liu, M. Z. 7 2014 On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016Stewart, G. W.; Zhang, G. 6 1991 Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations. Zbl 1338.34133Zhang, G. L.; Song, Minghui; Liu, M. Z. 5 2015 Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027Stewart, G. W.; Zhang, G. 5 1991 Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064Hu, C.; Lu, J.; Liu, X.; Zhang, G. 5 2018 Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments. Zbl 1329.65167Zhang, G. L. 4 2016 The structure factor of primes. Zbl 1436.11010Zhang, G.; Martelli, F.; Torquato, S. 4 2018 Simultaneous tolerancing for design and manufacturing. Zbl 0919.90082Zhang, G. 3 1996 Reaction-diffusion model for combustion with fuel consumption. I: Dirichlet boundary conditions. Zbl 0775.76214Zhang, G.; Merkin, J. H.; Scott, S. K. 3 1991 Worst-case analysis of the FFH algorithm for online variable-sized bin packing. Zbl 0843.90060Zhang, G. 3 1996 Exponential stability of impulsive delay differential equations. Zbl 1302.34110Zhang, G. L.; Song, Ming Hui; Liu, Ming Zhu 2 2013 Global analysis of predator-prey system with hawk and dove tactics. Zbl 1196.34062Wang, X.; Wang, W.; Zhang, G. 2 2010 Reaction-diffusion model for combustion with fuel consumption. II: Robin boundary conditions. Zbl 0786.76100Zhang, G.; Merkin, J. H.; Scott, S. K. 2 1993 High order Runge-Kutta methods for impulsive delay differential equations. Zbl 1426.65101Zhang, Gui-Lai 2 2017 Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups. Zbl 1341.22012Speh, B.; Zhang, G. 2 2016 Cluster analysis to minimize sequence dependent changeover times. Zbl 0834.90062Bowers, M. R.; Groom, K.; Ng, W. M.; Zhang, G. 2 1995 Asymptotical stability of numerical methods for semi-linear impulsive differential equations. Zbl 1449.65156Zhang, Gui-Lai 2 2020 Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments. Zbl 1448.65072Zhang, G. L.; Song, M. H. 2 2015 Ant colony pattern search algorithms for unconstrained and bound constrained optimization. Zbl 1193.90218Feng, Y. J.; Yu, Li; Zhang, G. L. 1 2007 Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030Zhang, G.; Elman, H. C. 1 1992 Airflow patterns around obstacles with arched and pitched roofs: wind tunnel measurements and direct simulation. Zbl 1297.76083Ntinas, G. K.; Zhang, G.; Fragos, V. P.; Bochtis, D. D.; Nikita-Martzopoulou, Ch. 1 2014 Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments. Zbl 1422.65118Zhang, Gui-Lai 1 2017 Impulsive continuous Runge-Kutta methods for impulsive delay differential equations. Zbl 1429.65156Zhang, Gui-Lai; Song, Ming-Hui 1 2019 Asymptotical stability of numerical methods for semi-linear impulsive differential equations. Zbl 1449.65156Zhang, Gui-Lai 2 2020 Impulsive continuous Runge-Kutta methods for impulsive delay differential equations. Zbl 1429.65156Zhang, Gui-Lai; Song, Ming-Hui 1 2019 Robust vehicle routing problem with hard time windows under demand and travel time uncertainty. Zbl 1391.90064Hu, C.; Lu, J.; Liu, X.; Zhang, G. 5 2018 The structure factor of primes. Zbl 1436.11010Zhang, G.; Martelli, F.; Torquato, S. 4 2018 High order Runge-Kutta methods for impulsive delay differential equations. Zbl 1426.65101Zhang, Gui-Lai 2 2017 Oscillation of Runge-Kutta methods for advanced impulsive differential equations with piecewise constant arguments. Zbl 1422.65118Zhang, Gui-Lai 1 2017 Stability of Runge-Kutta methods for linear impulsive delay differential equations with piecewise constant arguments. Zbl 1329.65167Zhang, G. L. 4 2016 Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups. Zbl 1341.22012Speh, B.; Zhang, G. 2 2016 A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation. Zbl 1349.74016Lim, C. W.; Zhang, G.; Reddy, J. N. 142 2015 Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations. Zbl 1323.34085Zhang, G. L.; Song, M. H.; Liu, M. Z. 16 2015 Split-step Milstein methods for multi-channel stiff stochastic differential systems. Zbl 1306.65008Reshniak, V.; Khaliq, A. Q. M.; Voss, D. A.; Zhang, G. 9 2015 Asymptotical stability of the exact solutions and the numerical solutions for a class of impulsive differential equations. Zbl 1338.34133Zhang, G. L.; Song, Minghui; Liu, M. Z. 5 2015 Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments. Zbl 1448.65072Zhang, G. L.; Song, M. H. 2 2015 Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations. Zbl 1291.65237Liu, Xing; Zhang, G. L.; Liu, M. Z. 7 2014 Airflow patterns around obstacles with arched and pitched roofs: wind tunnel measurements and direct simulation. Zbl 1297.76083Ntinas, G. K.; Zhang, G.; Fragos, V. P.; Bochtis, D. D.; Nikita-Martzopoulou, Ch. 1 2014 Exponential stability of impulsive delay differential equations. Zbl 1302.34110Zhang, G. L.; Song, Ming Hui; Liu, Ming Zhu 2 2013 Asymptotic stability of a class of impulsive delay differential equations. Zbl 1255.34079Zhang, G. L.; Song, M. H.; Liu, M. Z. 8 2012 Standing wave solutions for discrete nonlinear Schrödinger equations with unbounded potentials and saturable nonlinearity. Zbl 1290.35248Pankov, A.; Zhang, G. 20 2011 Global analysis of predator-prey system with hawk and dove tactics. Zbl 1196.34062Wang, X.; Wang, W.; Zhang, G. 2 2010 Characteristic set method for differential-difference polynomial systems. Zbl 1169.13019Gao, X. S.; van der Hoeven, J.; Yuan, C. M.; Zhang, G. L. 12 2009 Ant colony pattern search algorithms for unconstrained and bound constrained optimization. Zbl 1193.90218Feng, Y. J.; Yu, Li; Zhang, G. L. 1 2007 Simultaneous tolerancing for design and manufacturing. Zbl 0919.90082Zhang, G. 3 1996 Worst-case analysis of the FFH algorithm for online variable-sized bin packing. Zbl 0843.90060Zhang, G. 3 1996 Cluster analysis to minimize sequence dependent changeover times. Zbl 0834.90062Bowers, M. R.; Groom, K.; Ng, W. M.; Zhang, G. 2 1995 Reaction-diffusion model for combustion with fuel consumption. II: Robin boundary conditions. Zbl 0786.76100Zhang, G.; Merkin, J. H.; Scott, S. K. 2 1993 Parallel sparse Cholesky factorization on a shared memory multiprocessor. Zbl 0757.65030Zhang, G.; Elman, H. C. 1 1992 On a direct method for the solution of nearly uncoupled Markov chains. Zbl 0697.65016Stewart, G. W.; Zhang, G. 6 1991 Eigenvalues of graded matrices and the condition numbers of a multiple eigenvalue. Zbl 0697.65027Stewart, G. W.; Zhang, G. 5 1991 Reaction-diffusion model for combustion with fuel consumption. I: Dirichlet boundary conditions. Zbl 0775.76214Zhang, G.; Merkin, J. H.; Scott, S. K. 3 1991 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year