## Liu, Xudong

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 Author ID: liu.xudong Published as: Liu, Xudong; Liu, Xu-Dong; Liu, Xu-dong more...less
 Documents Indexed: 40 Publications since 1993 Biographic References: 1 Publication Co-Authors: 40 Co-Authors with 36 Joint Publications 1,878 Co-Co-Authors
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### Co-Authors

 3 single-authored 5 Truszczyński, Mirosław 4 Fedkiw, Ronald P. 4 Osher, Stanley Joel 3 Lax, Peter David 3 Zhang, Liang 2 Cai, Dandan 2 Chen, Zhen 2 Hou, Songming 2 Kang, Myungjoo 2 Wang, Xiaomin 2 Zhang, Wenfang 1 Banerjee, Sanjoy 1 Chan, Tony Fan-Cheong 1 Chen, Sicong 1 Cong, Binglong 1 Dadi, Chandrima 1 Duan, Jianmin 1 Fan, Qingwu 1 Goldsmith, Judy 1 Han, Jun 1 Li, Dongguang 1 Li, Fei-Yu 1 Li, Jian 1 Li, Lingyun 1 Li, Xian 1 Li, Zhiyu 1 Lin, Chitien 1 Lin, Xuelian 1 Nave, Jean-Christophe 1 Pan, Xulin 1 Qi, Yuanwei 1 Shen, Qiang 1 Sideris, Thomas C. 1 Spradling, Matthew 1 Tadmor, Eitan 1 Tong, Xiaojun 1 Wan, Justin W. L. 1 Wang, Zhengsheng 1 Wang, Zhu 1 Xu, Guili 1 Zhang, Miao 1 Zhong, Yuan 1 Zhou, Dasen
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### Serials

 5 Journal of Computational Physics 3 Journal of Scientific Computing 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 2 Journal of Jilin University. Science Edition 2 Journal of Software 2 Fuzzy Systems and Mathematics 1 Physics Letters. B 1 Mathematics of Computation 1 Journal of Differential Equations 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annals of Mathematics and Artificial Intelligence 1 Mathematical Problems in Engineering 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Journal of Harbin Engineering University 1 Journal of Shandong University. Natural Science 1 Journal of Beijing University of Technology 1 International Journal of Quantum Information 1 Communication on Applied Mathematics and Computation
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### Fields

 13 Numerical analysis (65-XX) 11 Partial differential equations (35-XX) 9 Computer science (68-XX) 6 Fluid mechanics (76-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Differential geometry (53-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

26 Publications have been cited 2,015 times in 1,642 Documents Cited by Year
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
1994
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
2000
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
2000
A numerical method for solving variable coefficient elliptic equation with interfaces. Zbl 1061.65123
Hou, Songming; Liu, Xu-Dong
2005
Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes. I. Zbl 0859.65091
Liu, Xu-Dong; Osher, Stanley
1996
Convergence of the ghost fluid method for elliptic equations with interfaces. Zbl 1027.65140
Liu, Xu-Dong; Sideris, Thomas C.
2003
Third order nonoscillatory central scheme for hyperbolic conservation laws. Zbl 0906.65093
1998
Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids. Zbl 0941.65082
Liu, Xu-Dong; Osher, Stanley
1998
A maximum principle satisfying modification of triangle based adaptive stencils for the solution of scalar hyperbolic conservation laws. Zbl 0791.65068
Liu, Xu-Dong
1993
Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method. Zbl 1152.76433
Hou, Songming; Liu, Xu-Dong
2007
A general technique for eliminating spurious oscillations in conservative schemes for multiphase and multispecies Euler equations. Zbl 1079.76059
Fedkiw, Ronald; Liu, Xu-Dong; Osher, Stanley
2002
A boundary condition-capturing multigrid approach to irregular boundary problems. Zbl 1107.65032
Wan, Justin W. L.; Liu, Xu-Dong
2004
The ghost fluid method for viscous flows. Zbl 1078.76586
Fedkiw, Ronald P.; Liu, Xu-Dong
2002
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114
Liu, Xu-Dong; Lax, Peter D.
2003
On adaptive sliding mode control without switching gain overestimation. Zbl 1285.93027
Cong, B. L.; Chen, Z.; Liu, X. D.
2014
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071
Liu, Xu-Dong; Lax, Peter D.
1996
Universal self-similarity of porous media equation with absorption: the critical exponent case. Zbl 1058.35130
Qi, Yuanwei; Liu, Xudong
2004
Aggregating conditionally lexicographic preferences using answer set programming solvers. Zbl 1406.91120
Liu, Xudong; Truszczynski, Miroslaw
2013
Roles and teams hedonic game. Zbl 1406.91017
2013
Inequalities on generalized normalized $$\delta$$-Casorati curvatures for submanifolds in statistical manifolds of constant curvatures. Zbl 1449.53013
Cai, Dandan; Liu, Xudong; Zhang, Liang
2019
Preference learning and optimization for partial lexicographic preference forests over combinatorial domains. Zbl 06894605
Liu, Xudong; Truszczynski, Miroslaw
2018
K-field kinks in two-dimensional dilaton gravity. Zbl 07418007
Zhong, Yuan; Li, Fei-Yu; Liu, Xu-Dong
2021
Inequalities for Casorati curvatures of submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection. Zbl 1389.53060
Liu, Xudong; Pan, Xulin; Zhang, Liang
2017
Inequalities for Casorati curvatures of submanifolds in a Bochner Kähler manifold. (Inequalities for Casorati curvatures of submanifolds in a Bochner Kaehler manifold.) Zbl 1424.53088
Liu, Xudong; Cai, Dandan; Zhang, Liang
2018
Reasoning with preference trees over combinatorial domains. Zbl 1405.91138
Liu, Xudong; Truszczynski, Miroslaw
2015
K-field kinks in two-dimensional dilaton gravity. Zbl 07418007
Zhong, Yuan; Li, Fei-Yu; Liu, Xu-Dong
2021
Inequalities on generalized normalized $$\delta$$-Casorati curvatures for submanifolds in statistical manifolds of constant curvatures. Zbl 1449.53013
Cai, Dandan; Liu, Xudong; Zhang, Liang
2019
Preference learning and optimization for partial lexicographic preference forests over combinatorial domains. Zbl 06894605
Liu, Xudong; Truszczynski, Miroslaw
2018
Inequalities for Casorati curvatures of submanifolds in a Bochner Kähler manifold. (Inequalities for Casorati curvatures of submanifolds in a Bochner Kaehler manifold.) Zbl 1424.53088
Liu, Xudong; Cai, Dandan; Zhang, Liang
2018
Inequalities for Casorati curvatures of submanifolds in a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection. Zbl 1389.53060
Liu, Xudong; Pan, Xulin; Zhang, Liang
2017
Reasoning with preference trees over combinatorial domains. Zbl 1405.91138
Liu, Xudong; Truszczynski, Miroslaw
2015
On adaptive sliding mode control without switching gain overestimation. Zbl 1285.93027
Cong, B. L.; Chen, Z.; Liu, X. D.
2014
Aggregating conditionally lexicographic preferences using answer set programming solvers. Zbl 1406.91120
Liu, Xudong; Truszczynski, Miroslaw
2013
Roles and teams hedonic game. Zbl 1406.91017
2013
Solutions of multi-dimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method. Zbl 1152.76433
Hou, Songming; Liu, Xu-Dong
2007
A numerical method for solving variable coefficient elliptic equation with interfaces. Zbl 1061.65123
Hou, Songming; Liu, Xu-Dong
2005
A boundary condition-capturing multigrid approach to irregular boundary problems. Zbl 1107.65032
Wan, Justin W. L.; Liu, Xu-Dong
2004
Universal self-similarity of porous media equation with absorption: the critical exponent case. Zbl 1058.35130
Qi, Yuanwei; Liu, Xudong
2004
Convergence of the ghost fluid method for elliptic equations with interfaces. Zbl 1027.65140
Liu, Xu-Dong; Sideris, Thomas C.
2003
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II. Zbl 1027.65114
Liu, Xu-Dong; Lax, Peter D.
2003
A general technique for eliminating spurious oscillations in conservative schemes for multiphase and multispecies Euler equations. Zbl 1079.76059
Fedkiw, Ronald; Liu, Xu-Dong; Osher, Stanley
2002
The ghost fluid method for viscous flows. Zbl 1078.76586
Fedkiw, Ronald P.; Liu, Xu-Dong
2002
A boundary condition capturing method for Poisson’s equation on irregular domains. Zbl 0958.65105
Liu, Xu-Dong; Fedkiw, Ronald P.; Kang, Myungjoo
2000
A boundary condition capturing method for multiphase incompressible flow. Zbl 1049.76046
Kang, Myungjoo; Fedkiw, Ronald P.; Liu, Xu-Dong
2000
Solution of two-dimensional Riemann problems of gas dynamics by positive schemes. Zbl 0952.76060
Lax, Peter D.; Liu, Xu-Dong
1998
Third order nonoscillatory central scheme for hyperbolic conservation laws. Zbl 0906.65093
1998
Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids. Zbl 0941.65082
Liu, Xu-Dong; Osher, Stanley
1998
Nonoscillatory high order accurate self-similar maximum principle satisfying shock capturing schemes. I. Zbl 0859.65091
Liu, Xu-Dong; Osher, Stanley
1996
Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. Zbl 0874.35071
Liu, Xu-Dong; Lax, Peter D.
1996
Weighted essentially non-oscillatory schemes. Zbl 0811.65076
Liu, Xu-Dong; Osher, Stanley; Chan, Tony
1994
A maximum principle satisfying modification of triangle based adaptive stencils for the solution of scalar hyperbolic conservation laws. Zbl 0791.65068
Liu, Xu-Dong
1993
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### Cited by 2,420 Authors

 88 Shu, Chi-Wang 58 Qiu, Jianxian 40 Zhu, Jun 26 Xu, Kun 24 Fedkiw, Ronald P. 20 Gibou, Frédéric 18 Li, Zhilin 18 Mulet, Pep 17 Kang, Myungjoo 15 Wang, Liqun 15 Xiao, Feng 14 Ha, Youngsoo 14 Hou, Songming 14 Pan, Liang 13 Osher, Stanley Joel 12 Bürger, Raimund 12 Fu, Lin 12 Li, Jiequan 12 Shi, Liwei 12 Wei, Guowei 11 Aràndiga, Francesc 11 Dumbser, Michael 11 Kurganov, Alexander 11 Udaykumar, Holavanahalli S. 11 Zhang, Mengping 11 Zhang, Xiangxiong 10 Adams, Nikolaus A. 10 Amat, Sergio P. 10 Dehghan Takht Fooladi, Mehdi 10 Don, Wai Sun 10 Liu, Xudong 10 Qian, Jianliang 10 Shen, Yiqing 10 Shyy, Wei 10 Tanguy, Sébastien 10 Zhang, Yongtao 9 Balsara, Dinshaw S. 9 Capdeville, Guy 9 Deng, Xi 9 Deng, Xiaogang 9 Gottlieb, Sigal 9 Huang, Cong 9 Ji, Haifeng 9 Li, Ruo 9 Nave, Jean-Christophe 9 Tang, Huazhong 9 Toro, Eleuterio Francisco 9 Zhang, Shuhai 9 Zhao, Shan 8 Abedian, Rooholah 8 Arbogast, Todd 8 Chen, Gui-Qiang G. 8 Gao, Zhen 8 Huang, Chieh-Sen 8 Kim, Changho 8 Liu, Yingjie 8 Sussman, Mark 7 Chen, Jinru 7 Desjardins, Olivier 7 Feldman, Mikhail 7 Hu, Fuxing 7 Ji, Xing 7 Kim, Chongam 7 Leung, Shingyu 7 Luo, Songting 7 Parés Madroñal, Carlos 7 Qiu, Jingmei 7 Shu, Chang 7 Spelt, Peter D. M. 7 Tian, Baolin 7 Wang, Rong 7 Xu, Zhengfu 7 Yang, Hyoseon 7 Yang, Jaw-Yen 7 Yokoi, Kensuke 7 Yoon, Jungho 7 Zhao, Fengxiang 7 Zheng, Yuxi 6 Baeza, Antonio 6 Burridge, Robert 6 Cheng, Juan 6 Christlieb, Andrew J. 6 Črnjarić-Žic, Nelida 6 Gallardo, José M. 6 Hesthaven, Jan S. 6 Jiang, Yan 6 Kumar, Rakesh 6 Li, Mingjun 6 Liu, Chaoqun 6 Loubère, Raphaël 6 Persson, Per-Olof 6 Pitsch, Heinz 6 Riaz, Amir 6 Russo, Giovanni 6 Sambasivan, Shiv Kumar 6 Tolstykh, Andrei I. 6 Wang, Baoshan 6 Xing, Yulong 6 Yáñez, Dionisio F. 6 Zhang, Fan ...and 2,320 more Authors
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### Cited in 151 Serials

 593 Journal of Computational Physics 175 Computers and Fluids 166 Journal of Scientific Computing 42 Applied Numerical Mathematics 41 Journal of Computational and Applied Mathematics 39 Applied Mathematics and Computation 33 Communications in Computational Physics 30 SIAM Journal on Scientific Computing 28 International Journal for Numerical Methods in Fluids 27 Computer Methods in Applied Mechanics and Engineering 26 Computers & Mathematics with Applications 25 Journal of Fluid Mechanics 21 International Journal of Computational Fluid Dynamics 16 Advances in Applied Mathematics and Mechanics 13 Mathematics of Computation 12 International Journal for Numerical Methods in Engineering 12 SIAM Journal on Numerical Analysis 12 Communications on Applied Mathematics and Computation 10 Advances in Computational Mathematics 9 Numerical Methods for Partial Differential Equations 9 Applied Mathematical Modelling 9 Computational and Applied Mathematics 8 Numerical Algorithms 8 International Journal of Computer Mathematics 7 Computer Physics Communications 6 Mathematics and Computers in Simulation 6 Numerische Mathematik 6 European Journal of Mechanics. B. Fluids 6 Combustion Theory and Modelling 6 Multiscale Modeling & Simulation 6 International Journal of Computational Methods 5 Journal of Mathematical Analysis and Applications 5 Computational Mechanics 5 Communications in Nonlinear Science and Numerical Simulation 5 Matematicheskoe Modelirovanie 5 Mathematical Biosciences and Engineering 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Wave Motion 4 Journal of Differential Equations 4 Applied Mathematics and Mechanics. (English Edition) 4 Applied Mathematics Letters 4 Communications in Numerical Methods in Engineering 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 Mathematical Problems in Engineering 4 Journal of Hyperbolic Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Mathematical Methods in the Applied Sciences 3 Acta Mathematicae Applicatae Sinica. English Series 3 Physics of Fluids 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems 3 Doklady Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Computational Geosciences 3 Archives of Computational Methods in Engineering 3 International Journal of Numerical Analysis and Modeling 3 Acta Mechanica Sinica 3 Communications in Applied Mathematics and Computational Science 3 Journal of Theoretical Biology 3 SMAI Journal of Computational Mathematics 2 Shock Waves 2 International Journal of Game Theory 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Constructive Approximation 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Computational Mathematics and Mathematical Physics 2 Proceedings of the National Academy of Sciences of the United States of America 2 SIAM Journal on Applied Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Computing and Visualization in Science 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Sādhanā 2 Advances in Difference Equations 2 Numerical Mathematics: Theory, Methods and Applications 2 Advances in Numerical Analysis 2 Results in Applied Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 Artificial Intelligence 1 Astrophysics and Space Science 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Fluid Dynamics 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Physics Letters. B 1 Russian Mathematical Surveys 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Inventiones Mathematicae 1 Journal of Approximation Theory ...and 51 more Serials
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### Cited in 39 Fields

 1,140 Numerical analysis (65-XX) 967 Fluid mechanics (76-XX) 669 Partial differential equations (35-XX) 43 Mechanics of deformable solids (74-XX) 38 Statistical mechanics, structure of matter (82-XX) 33 Biology and other natural sciences (92-XX) 32 Classical thermodynamics, heat transfer (80-XX) 29 Geophysics (86-XX) 28 Approximations and expansions (41-XX) 19 Optics, electromagnetic theory (78-XX) 18 Computer science (68-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Ordinary differential equations (34-XX) 10 Astronomy and astrophysics (85-XX) 9 Dynamical systems and ergodic theory (37-XX) 7 Operations research, mathematical programming (90-XX) 6 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX)