Edit Profile (opens in new tab) Xu, Zhiliang Compute Distance To: Compute Author ID: xu.zhiliang Published as: Xu, Zhiliang; Xu, Zhi-Liang; Xu, Z. L. Documents Indexed: 46 Publications since 1990 Co-Authors: 41 Co-Authors with 26 Joint Publications 2,018 Co-Co-Authors all top 5 Co-Authors 1 single-authored 9 Liu, Yingjie 5 Du, Huijing 5 Glimm, James G. 5 Shu, Chi-Wang 3 Alber, Mark S. 3 Li, Xiaolin 3 Lin, Guang 2 Balsara, Dinshaw S. 2 Hao, Wenrui 2 Li, Zhengfang 2 Samulyak, Roman 2 Xu, Shixin 2 Zhao, Ning 1 Accorsi, Michael L. 1 Cameron, R. G. 1 Chen, Xu-Yan 1 Culver, Dominic Leon 1 Deng, Chengzhi 1 Dong, Fengming 1 Du, Jian 1 Dumbser, Michael 1 Fountain, M. 1 George, Erwin 1 Grove, John W. 1 Hauenstein, Jonathan D. 1 Hu, Weili 1 Huang, Huaxiong 1 Hunt, I. R. 1 Ji, Xiaomei 1 Kim, Oleg 1 Koh, Khee Meng 1 Lyapidevskiĭ, Valeriĭ Yur’evich 1 Lin, Ping 1 Liu, Chun 1 Liu, Yuan 1 Lu, Tianshi 1 Meyer, Chad 1 Muir, William M. 1 Ogas, J. 1 Pittendrigh, Barry R. 1 Rider, S. D. 1 Rosa, Guilherme J. M. 1 Shen, Lingyue 1 Shrout, Joshua D. 1 Sommese, Andrew John 1 Sun, Dongchang 1 Ting, T. S. 1 Wang, Dajun 1 Wu, Xiaobei 1 Wu, Ziheng 1 Xiang, Youjun 1 Yimin, Shao 1 Yu, Wennian 1 Zeng, Delu 1 Zhang, Hong 1 Zhang, Yongtao 1 Zhang, Yunsheng all top 5 Serials 9 Journal of Computational Physics 2 Journal of the Operational Research Society 2 SIAM Journal on Scientific Computing 2 International Journal of Computational Methods 2 Communications in Computational Physics 1 AIAA Journal 1 International Journal of Control 1 International Journal of Systems Science 1 Journal of Sound and Vibration 1 Nonlinearity 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 IEEE Transactions on Automatic Control 1 SIAM Journal on Numerical Analysis 1 International Journal of Production Research 1 Computational Mechanics 1 Journal of Scientific Computing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 Computational Statistics and Data Analysis 1 The Australasian Journal of Combinatorics 1 Prikladnaya Mekhanika i Tekhnicheskaya Fizika 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Southeast University. Natural Science Edition 1 Sampling Theory in Signal and Image Processing 1 Journal of University of Electronic Science and Technology of China 1 Journal of Topology all top 5 Fields 20 Numerical analysis (65-XX) 12 Fluid mechanics (76-XX) 10 Partial differential equations (35-XX) 6 Biology and other natural sciences (92-XX) 4 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 321 times in 219 Documents Cited by ▼ Year ▼ Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 67 2013 Conservative front tracking with improved accuracy. Zbl 1053.35093Glimm, James; Li, Xiaolin; Liu, Yingjie; Xu, Zhiliang; Zhao, Ning 50 2003 Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells. Zbl 1165.65392Xu, Zhiliang; Liu, Yingjie; Shu, Chi-Wang 36 2009 Averaging method using generalized harmonic functions for strongly non-linear oscillators. Zbl 0945.70534Xu, Z.; Cheung, Y. K. 34 1994 Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. Zbl 1408.65065Xu, Zhiliang; Liu, Yingjie; Du, Huijing; Lin, Guang; Shu, Chi-Wang 22 2011 A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao 21 2013 New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field. Zbl 1373.76350Xu, Zhiliang; Liu, Yingjie 11 2016 Divergence-free WENO reconstruction-based finite volume scheme for solving ideal MHD equations on triangular meshes. Zbl 1373.76149Xu, Zhiliang; Balsara, Dinshaw S.; Du, Huijing 11 2016 Helmholtz equations and boundary value problems. Zbl 0797.30039Xu, Z. 10 1992 Hierarchical reconstruction for spectral volume method on unstructured grids. Zbl 1169.65339Xu, Zhiliang; Liu, Yingjie; Shu, Chi-Wang 10 2009 Multiscale modeling of Pseudomonas aeruginosa swarming. Zbl 1214.92007Du, Huijing; Xu, Zhiliang; Shrout, Joshua D.; Alber, Mark 6 2011 Bound-preserving high-order schemes. Zbl 1368.65149Xu, Z.; Zhang, X. 6 2017 Genetic algorithm-based spinning reserve dispatching in a competitive electricity market. Zbl 1075.90534Xu, Z.; Dong, Z. Y.; Wong, K. P. 4 2004 A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers. Zbl 1173.76391Samulyak, Roman; Du, Jian; Glimm, James; Xu, Zhiliang 4 2007 Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws. Zbl 1184.65086Liu, Yingjie; Shu, Chi-Wang; Xu, Zhiliang 4 2009 Searching optimal resequencing and feature assignment on an automated assembly line. Zbl 1156.90367Lim, A.; Xu, Z. 3 2009 Three-dimensional multi-scale model of deformable platelets adhesion to vessel wall in blood flow. Zbl 1353.76096Wu, Ziheng; Xu, Zhiliang; Kim, Oleg; Alber, Mark 3 2014 On the largest input-output linearizable subsystem. Zbl 0851.93017Xu, Z.; Hunt, I. R. 2 1996 Front tracking algorithm using adaptively refind meshes. Zbl 1246.76130Xu, Zhiliang; Glimm, James; Li, Xiaolin 2 2005 A new Runge-Kutta discontinuous Galerkin method with conservation constraint to improve CFL condition for solving conservation laws. Zbl 1349.65495Xu, Zhiliang; Chen, Xu-Yan; Liu, Yingjie 2 2014 Distributed piezoelectric segment method for vibration control of smart beams. Zbl 0944.74598Sun, Dongchang; Wang, Dajun; Xu, Z. L. 2 1997 Breaking of waves of limiting amplitude over an obstacle. Zbl 1114.76010Lyapidevskij, V. Yu.; Xu, Z. 1 2006 A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. Zbl 1349.76472Hao, Wenrui; Xu, Zhiliang; Liu, Chun; Lin, Guang 1 2015 Parallel contact algorithms for nonlinear implicit transient analysis. Zbl 1158.74506Xu, Z.; Accorsi, M.; Leonard, J. 1 2004 The bidding selection and assignment problem with minimum quantity commitment. Zbl 1156.90402Lim, A.; Xu, Z.; Wang, F. 1 2008 Integrated planning for product module selection and assembly line design/reconfiguration. Zbl 1095.90031Xu, Z.; Liang, M. 1 2006 Dynamic phase boundaries for compressible fluids. Zbl 1158.76049Lu, T.; Xu, Z. L.; Samulyak, R.; Glimm, J.; Ji, X. M. 1 2008 A mixture model approach for the analysis of small exploratory microarray experiments. Zbl 1453.62161Muir, W. M.; Rosa, G. J. M.; Pittendrigh, B. R.; Xu, Z.; Rider, S. D.; Fountain, M.; Ogas, J. 1 2009 On the \(E_2\)-term of the bo-Adams spectral sequence. Zbl 1469.55013Beaudry, A.; Behrens, M.; Bhattacharya, P.; Culver, D.; Xu, Z. 1 2020 Effective finite horizon linear-quadratic continuous terminal control. Zbl 1359.49011Xia, X.; Xu, Z. 1 2013 Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388Xu, Zhiliang; Lin, Guang 1 2009 A refined analytical model for the mesh stiffness calculation of plastic gear pairs. Zbl 1481.70029Xu, Zhiliang; Yu, Wennian; Yimin, Shao 1 2021 A refined analytical model for the mesh stiffness calculation of plastic gear pairs. Zbl 1481.70029Xu, Zhiliang; Yu, Wennian; Yimin, Shao 1 2021 On the \(E_2\)-term of the bo-Adams spectral sequence. Zbl 1469.55013Beaudry, A.; Behrens, M.; Bhattacharya, P.; Culver, D.; Xu, Z. 1 2020 Bound-preserving high-order schemes. Zbl 1368.65149Xu, Z.; Zhang, X. 6 2017 New central and central discontinuous Galerkin schemes on overlapping cells of unstructured grids for solving ideal magnetohydrodynamic equations with globally divergence-free magnetic field. Zbl 1373.76350Xu, Zhiliang; Liu, Yingjie 11 2016 Divergence-free WENO reconstruction-based finite volume scheme for solving ideal MHD equations on triangular meshes. Zbl 1373.76149Xu, Zhiliang; Balsara, Dinshaw S.; Du, Huijing 11 2016 A fictitious domain method with a hybrid cell model for simulating motion of cells in fluid flow. Zbl 1349.76472Hao, Wenrui; Xu, Zhiliang; Liu, Chun; Lin, Guang 1 2015 Three-dimensional multi-scale model of deformable platelets adhesion to vessel wall in blood flow. Zbl 1353.76096Wu, Ziheng; Xu, Zhiliang; Kim, Oleg; Alber, Mark 3 2014 A new Runge-Kutta discontinuous Galerkin method with conservation constraint to improve CFL condition for solving conservation laws. Zbl 1349.65495Xu, Zhiliang; Chen, Xu-Yan; Liu, Yingjie 2 2014 Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. Zbl 1291.76237Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang 67 2013 A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws. Zbl 1349.65558Hao, Wenrui; Hauenstein, Jonathan D.; Shu, Chi-Wang; Sommese, Andrew J.; Xu, Zhiliang; Zhang, Yong-Tao 21 2013 Effective finite horizon linear-quadratic continuous terminal control. Zbl 1359.49011Xia, X.; Xu, Z. 1 2013 Point-wise hierarchical reconstruction for discontinuous Galerkin and finite volume methods for solving conservation laws. Zbl 1408.65065Xu, Zhiliang; Liu, Yingjie; Du, Huijing; Lin, Guang; Shu, Chi-Wang 22 2011 Multiscale modeling of Pseudomonas aeruginosa swarming. Zbl 1214.92007Du, Huijing; Xu, Zhiliang; Shrout, Joshua D.; Alber, Mark 6 2011 Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO-type linear reconstruction and partial neighboring cells. Zbl 1165.65392Xu, Zhiliang; Liu, Yingjie; Shu, Chi-Wang 36 2009 Hierarchical reconstruction for spectral volume method on unstructured grids. Zbl 1169.65339Xu, Zhiliang; Liu, Yingjie; Shu, Chi-Wang 10 2009 Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws. Zbl 1184.65086Liu, Yingjie; Shu, Chi-Wang; Xu, Zhiliang 4 2009 Searching optimal resequencing and feature assignment on an automated assembly line. Zbl 1156.90367Lim, A.; Xu, Z. 3 2009 A mixture model approach for the analysis of small exploratory microarray experiments. Zbl 1453.62161Muir, W. M.; Rosa, G. J. M.; Pittendrigh, B. R.; Xu, Z.; Rider, S. D.; Fountain, M.; Ogas, J. 1 2009 Spectral/hp element method with hierarchical reconstruction for solving nonlinear hyperbolic conservation laws. Zbl 1212.65388Xu, Zhiliang; Lin, Guang 1 2009 The bidding selection and assignment problem with minimum quantity commitment. Zbl 1156.90402Lim, A.; Xu, Z.; Wang, F. 1 2008 Dynamic phase boundaries for compressible fluids. Zbl 1158.76049Lu, T.; Xu, Z. L.; Samulyak, R.; Glimm, J.; Ji, X. M. 1 2008 A numerical algorithm for MHD of free surface flows at low magnetic Reynolds numbers. Zbl 1173.76391Samulyak, Roman; Du, Jian; Glimm, James; Xu, Zhiliang 4 2007 Breaking of waves of limiting amplitude over an obstacle. Zbl 1114.76010Lyapidevskij, V. Yu.; Xu, Z. 1 2006 Integrated planning for product module selection and assembly line design/reconfiguration. Zbl 1095.90031Xu, Z.; Liang, M. 1 2006 Front tracking algorithm using adaptively refind meshes. Zbl 1246.76130Xu, Zhiliang; Glimm, James; Li, Xiaolin 2 2005 Genetic algorithm-based spinning reserve dispatching in a competitive electricity market. Zbl 1075.90534Xu, Z.; Dong, Z. Y.; Wong, K. P. 4 2004 Parallel contact algorithms for nonlinear implicit transient analysis. Zbl 1158.74506Xu, Z.; Accorsi, M.; Leonard, J. 1 2004 Conservative front tracking with improved accuracy. Zbl 1053.35093Glimm, James; Li, Xiaolin; Liu, Yingjie; Xu, Zhiliang; Zhao, Ning 50 2003 Distributed piezoelectric segment method for vibration control of smart beams. Zbl 0944.74598Sun, Dongchang; Wang, Dajun; Xu, Z. L. 2 1997 On the largest input-output linearizable subsystem. Zbl 0851.93017Xu, Z.; Hunt, I. R. 2 1996 Averaging method using generalized harmonic functions for strongly non-linear oscillators. Zbl 0945.70534Xu, Z.; Cheung, Y. K. 34 1994 Helmholtz equations and boundary value problems. Zbl 0797.30039Xu, Z. 10 1992 all cited Publications top 5 cited Publications all top 5 Cited by 379 Authors 21 Balsara, Dinshaw S. 13 Dumbser, Michael 10 Hao, Wenrui 10 Shu, Chi-Wang 9 Montecinos, Gino I. 7 Christlieb, Andrew J. 7 Xu, Zhiliang 7 Zhang, Chao 6 Glimm, James G. 6 Li, Maojun 6 Liu, Yingjie 6 Tsoutsanis, Panagiotis 5 Bellomo, Nicola 5 Dong, Haiyun 5 Garain, Sudip K. 5 Men’shov, Igor S. 5 Tang, Qi 5 Toro, Eleuterio F. 5 Zanotti, Olindo 5 Zhu, Jun 4 Hu, Guanghui 4 Kim, Chongam 4 Luo, Hong 4 Mao, Dekang 4 Ni, Guoxi 4 Nourgaliev, Robert R. 4 Persson, Per-Olof 4 Zahr, Matthew J. 4 Zhang, Mengping 3 Cheng, Yongping 3 Dawson, Clint N. 3 Deng, Xiaolong 3 Du, Huijing 3 Hidalgo, Arturo 3 Jiang, Song 3 Jiang, Yan 3 Jin, Hyeonseong 3 Lee, Dongwook 3 Li, Xiaolin 3 Liu, Yuan 3 Loubère, Raphaël 3 Park, Jinseok 3 Seal, David C. 3 Sharp, David H. 3 Xia, Yidong 3 Xu, Zhengfu 3 Zhang, Yongtao 2 Antoniadis, Antonis F. 2 Boscheri, Walter 2 Brezzi, Franco 2 Brown, David A. 2 Colonius, Tim 2 Engquist, Bjorn E. 2 Fan, Ping 2 Feng, Xiao 2 Froese, Brittany D. 2 Gao, Wenbin 2 Grove, John W. 2 Hauenstein, Jonathan D. 2 Herbin, Raphaèle 2 Jenkins, Karl W. 2 Käppeli, Roger 2 Kawai, Soshi 2 Kim, Jinho 2 Kubatko, Ethan J. 2 Kurganov, Alexander 2 Latché, Jean-Claude 2 Li, Qibing 2 Li, Ruo 2 Li, Wanai 2 Lim, Hyunkyung 2 Lin, Guang 2 Mirabito, Chris 2 Nkonga, Boniface 2 Norman, Matthew R. 2 Ren, Yuxin 2 Reyes, Adam 2 Shukla, Ratnesh K. 2 Soler, Juan S. 2 Sommese, Andrew John 2 Taflove, Allen 2 Theofanous, Theo G. 2 Trakhinin, Yuri L. 2 Tsai, Yen-Hsi Richard 2 Ullah, Mohammed Aman 2 Wang, Bao 2 Wang, Shuanghu 2 Wei, Guowei 2 Westerink, Joannes J. 2 Wu, Kailiang 2 Xia, Kelin 2 Xian, Weizhi 2 Xu, Liwei 2 Yang, Yong 2 Yi, Nianyu 2 You, Hojun 2 Yu, Meilin 2 Yu, Xijun 2 Yu, Yan 2 Zheng, Chunyue ...and 279 more Authors all top 5 Cited in 43 Serials 103 Journal of Computational Physics 24 Computers and Fluids 20 Journal of Scientific Computing 7 Communications in Computational Physics 5 Computer Methods in Applied Mechanics and Engineering 5 SIAM Journal on Scientific Computing 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal for Numerical Methods in Fluids 2 Bulletin of Mathematical Biology 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerische Mathematik 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Archives of Computational Methods in Engineering 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Journal of Fluid Mechanics 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Computational Mathematics and Mathematical Physics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 International Journal of Computational Fluid Dynamics 1 Journal of Applied Mechanics and Technical Physics 1 European Journal of Mechanics. A. Solids 1 Matematicheskoe Modelirovanie 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 International Journal of Numerical Analysis and Modeling 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 Mathematical Modelling of Natural Phenomena 1 Philosophical Transactions A. Royal Society of London 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 23 Fields 158 Numerical analysis (65-XX) 147 Fluid mechanics (76-XX) 59 Partial differential equations (35-XX) 12 Biology and other natural sciences (92-XX) 6 Optics, electromagnetic theory (78-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year