# zbMATH — the first resource for mathematics

## Liu, Jie

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 Author ID: liu.jie Published as: Liu, J.; Liu, Jie Homepage: https://sg.linkedin.com/in/jie-liu-69ba5a77 External Links: MGP · Wikidata · ORCID · ResearchGate · dblp
 Documents Indexed: 73 Publications since 2001
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#### Co-Authors

 5 single-authored 5 Liu, Jianguo 5 Pego, Robert L. 3 Qi, Yingyong 3 Xin, Jack X. 1 Gurugubelli, Pardha S. 1 Jaiman, Rajeev Kumar 1 Jia, Jun 1 Zheng, Fan-Gang
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#### Serials

 4 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Journal of Computational Mathematics 1 SIAM Journal on Scientific Computing 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 13 Numerical analysis (65-XX) 10 Fluid mechanics (76-XX) 6 Partial differential equations (35-XX) 3 Information and communication theory, circuits (94-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Potential theory (31-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

26 Publications have been cited 188 times in 154 Documents Cited by Year
Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2010
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2007
Open and traction boundary conditions for the incompressible Navier-Stokes equations. Zbl 1386.76114
Liu, Jie
2009
A stable second-order scheme for fluid-structure interaction with strong added-mass effects. Zbl 1349.76236
Liu, Jie; Jaiman, Rajeev K.; Gurugubelli, Pardha S.
2014
Term and variable selection for nonlinear system identification. Zbl 1050.93506
Wei, H. L.; Billings, S. A.; Liu, J.
2004
Simple and efficient ALE methods with provable temporal accuracy up to fifth order for the Stokes equations on time varying domains. Zbl 1268.76015
Liu, Jie
2013
Design of sliding mode control for neutral delay systems with perturbation in control channels. Zbl 1277.93023
Niu, Yugang; Jia, T.; Huang, J.; Liu, J.
2012
Computational challenge of fractional differential equations and the potential solutions: a survey. Zbl 1394.65072
Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen; Liu, Jie
2015
Order of convergence of splitting schemes for both deterministic and stochastic nonlinear Schrödinger equations. Zbl 1274.60220
Liu, Jie
2013
Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1422.65361
Liu, J.; Sun, J.; Turner, T.
2019
A second-order changing-connectivity ALE scheme and its application to FSI with large convection of fluids and near contact of structures. Zbl 1349.76235
Liu, Jie
2016
A mass-preserving splitting scheme for the stochastic Schrödinger equation with multiplicative noise. Zbl 1283.65007
Liu, Jie
2013
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
2009
Stable and spectrally accurate schemes for the Navier-Stokes equations. Zbl 1232.65132
Jia, Jun; Liu, Jie
2011
Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. Zbl 1422.76043
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2009
Periodic solutions of evolution equations. Zbl 1071.34056
Ezzinbi, K.; Naito, T.; Minh, N.; Liu, J.
2004
An efficient wavefront parallel algorithm for structured three dimensional LU-SGS. Zbl 1390.76672
Gong, Chunye; Bao, Weimin; Liu, Jie; Tang, Guojian; Jiang, Yuewen
2016
A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations. Zbl 1390.76956
Liu, Jie
2015
A time domain algorithm for blind separation of convolutive sound mixtures and $$L_1$$ constrained minimization of cross correlations. Zbl 1173.94373
Liu, Jie; Xin, Jack; Qi, Yingyong; Zheng, Fan-Gang
2009
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation. Zbl 1184.35243
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2006
On the Constantin-Lax-Majda model with convection. Zbl 1439.35402
Lei, Zhen; Liu, Jie; Ren, Xiao
2020
A unified symplectic pseudospectral method for motion planning and tracking control of 3D underactuated overhead cranes. Zbl 1419.49020
Wang, Xinwei; Liu, Jie; Zhang, Yong; Shi, Boyang; Jiang, Dianheng; Peng, Haijun
2019
Spatiotemporal dynamics induced by delay and diffusion in a predator-prey model with mutual interference among the predator. Zbl 1417.92143
Ma, Zhan-Ping; Liu, Jie; Yue, Jia-Long
2018
A stochastic scaled boundary finite element method. Zbl 1439.74445
Long, X. Y.; Jiang, C.; Yang, C.; Han, X.; Gao, W.; Liu, J.
2016
Solving the Caputo fractional reaction-diffusion equation on GPU. Zbl 1422.65164
Liu, Jie; Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen
2014
Transient anti-plane crack problem of a functionally graded piezoelectric strip bonded to elastic layers. Zbl 1063.74088
Chen, J.; Soh, A. K.; Liu, J.; Liu, Z. X.
2004
On the Constantin-Lax-Majda model with convection. Zbl 1439.35402
Lei, Zhen; Liu, Jie; Ren, Xiao
2020
Spectral indicator method for a non-selfadjoint Steklov eigenvalue problem. Zbl 1422.65361
Liu, J.; Sun, J.; Turner, T.
2019
A unified symplectic pseudospectral method for motion planning and tracking control of 3D underactuated overhead cranes. Zbl 1419.49020
Wang, Xinwei; Liu, Jie; Zhang, Yong; Shi, Boyang; Jiang, Dianheng; Peng, Haijun
2019
Spatiotemporal dynamics induced by delay and diffusion in a predator-prey model with mutual interference among the predator. Zbl 1417.92143
Ma, Zhan-Ping; Liu, Jie; Yue, Jia-Long
2018
A second-order changing-connectivity ALE scheme and its application to FSI with large convection of fluids and near contact of structures. Zbl 1349.76235
Liu, Jie
2016
An efficient wavefront parallel algorithm for structured three dimensional LU-SGS. Zbl 1390.76672
Gong, Chunye; Bao, Weimin; Liu, Jie; Tang, Guojian; Jiang, Yuewen
2016
A stochastic scaled boundary finite element method. Zbl 1439.74445
Long, X. Y.; Jiang, C.; Yang, C.; Han, X.; Gao, W.; Liu, J.
2016
Computational challenge of fractional differential equations and the potential solutions: a survey. Zbl 1394.65072
Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen; Liu, Jie
2015
A second-order stable explicit interface advancing scheme for FSI with both rigid and elastic structures and its application to fish swimming simulations. Zbl 1390.76956
Liu, Jie
2015
A stable second-order scheme for fluid-structure interaction with strong added-mass effects. Zbl 1349.76236
Liu, Jie; Jaiman, Rajeev K.; Gurugubelli, Pardha S.
2014
Solving the Caputo fractional reaction-diffusion equation on GPU. Zbl 1422.65164
Liu, Jie; Gong, Chunye; Bao, Weimin; Tang, Guojian; Jiang, Yuewen
2014
Simple and efficient ALE methods with provable temporal accuracy up to fifth order for the Stokes equations on time varying domains. Zbl 1268.76015
Liu, Jie
2013
Order of convergence of splitting schemes for both deterministic and stochastic nonlinear Schrödinger equations. Zbl 1274.60220
Liu, Jie
2013
A mass-preserving splitting scheme for the stochastic Schrödinger equation with multiplicative noise. Zbl 1283.65007
Liu, Jie
2013
Design of sliding mode control for neutral delay systems with perturbation in control channels. Zbl 1277.93023
Niu, Yugang; Jia, T.; Huang, J.; Liu, J.
2012
Stable and spectrally accurate schemes for the Navier-Stokes equations. Zbl 1232.65132
Jia, Jun; Liu, Jie
2011
Stable and accurate pressure approximation for unsteady incompressible viscous flow. Zbl 1307.76029
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2010
Open and traction boundary conditions for the incompressible Navier-Stokes equations. Zbl 1386.76114
Liu, Jie
2009
A soft-constrained dynamic iterative method of blind source separation. Zbl 1177.94064
Liu, Jie; Xin, Jack; Qi, Yingyong
2009
Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions. Zbl 1422.76043
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2009
A time domain algorithm for blind separation of convolutive sound mixtures and $$L_1$$ constrained minimization of cross correlations. Zbl 1173.94373
Liu, Jie; Xin, Jack; Qi, Yingyong; Zheng, Fan-Gang
2009
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate. Zbl 1131.35058
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2007
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation. Zbl 1184.35243
Liu, Jian-Guo; Liu, Jie; Pego, Robert L.
2006
Term and variable selection for nonlinear system identification. Zbl 1050.93506
Wei, H. L.; Billings, S. A.; Liu, J.
2004
Periodic solutions of evolution equations. Zbl 1071.34056
Ezzinbi, K.; Naito, T.; Minh, N.; Liu, J.
2004
Transient anti-plane crack problem of a functionally graded piezoelectric strip bonded to elastic layers. Zbl 1063.74088
Chen, J.; Soh, A. K.; Liu, J.; Liu, Z. X.
2004
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#### Cited by 311 Authors

 10 Jaiman, Rajeev Kumar 9 Billings, Stephen A. 8 Wei, Hualiang 5 Hong, Jialin 5 Liu, Jie 4 Gao, Cunchen 4 Gong, Chunye 4 Kao, Yonggui 4 Liu, Jianguo 4 Liu, Zhen 4 Pego, Robert L. 3 Cui, Jianbo 3 Gurugubelli, Pardha S. 3 Li, Zhilin 3 Liu, Jie 3 Shirokoff, David 3 Sun, Yuanchang 3 Xin, Jack X. 2 Azaïez, Mejdi 2 Banks, Jeffrey W. 2 Bao, Weimin 2 Bi, Hai 2 Chen, Chuchu 2 Decaria, Victor 2 Dong, Shaoqun 2 Dong, Suchuan 2 Ezzinbi, Khalil 2 Fang, Hong 2 Giga, Yoshikazu 2 Glockner, Stéphane 2 Greengard, Leslie F. 2 Guan, M. Z. 2 Guo, Lingzhong 2 He, Tao 2 Henshaw, William D. 2 Jiang, Shidong 2 Karniadakis, George Em 2 Layton, William J. 2 Liu, Zhihui 2 Poux, A. 2 Rosales, Rodolfo Ruben 2 Rostamian, Rouben 2 Rozza, Gianluigi 2 Saye, Robert I. 2 Schwendeman, Donald W. 2 Seibold, Benjamin 2 Shen, Jie 2 Soane, Ana Maria 2 Song, Songhe 2 Stabile, Giovanni 2 Trask, Nathaniel 2 Xiao, Huimin 2 Xie, Jing 2 Xu, Ruiping 2 Yang, Yidu 2 Yao, Wenju 2 Yu, Caihui 2 Zhang, Yu 2 Zhou, Dong 2 Zhou, Weien 1 Abe, Ken 1 Ahmadi, Salman 1 Ahusborde, Etienne 1 Akrid, Thami 1 Alexandridis, Antonios K. 1 Anderson, Sean R. 1 Avalos, George 1 Avrin, Joel D. 1 Baek, Hyoungsu 1 Bai, Erwei 1 Baldacchino, Tara 1 Balikhin, Michael A. 1 Bänsch, Eberhard 1 Barrios-Pina, Héctor 1 Beale, J. Thomas 1 Bekolle, David 1 Beneš, Michal 1 Bohaienko, Vsevolod 1 Brandon, Namdi 1 Bu, Weiping 1 Bukka, S. R. 1 Buscaglia, Gustavo C. 1 Busto, Saray 1 Cai, Qin 1 Cai, Wentao 1 Casas, Gabriela A. 1 Chekroun, Mickaël D. 1 Chen, Dangxing 1 Chen, Huangxin 1 Chen, Xiaohong 1 Chen, Zhangxin 1 Cheng, Changming 1 Chryssostomidis, C. 1 Collet, Bernard 1 Couder-Castañeda, Carlos 1 Cozzi, Elaine 1 del Rio, Fernando 1 Destrade, Michel 1 Diamessis, Peter J. 1 Dobrzynski, Cécile ...and 211 more Authors
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#### Cited in 65 Serials

 30 Journal of Computational Physics 12 Computer Methods in Applied Mechanics and Engineering 8 International Journal of Control 8 SIAM Journal on Numerical Analysis 7 Computers and Fluids 7 Journal of Scientific Computing 4 Computers & Mathematics with Applications 4 Journal of Fluid Mechanics 4 Applied Mathematics and Computation 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Applied Numerical Mathematics 2 Automatica 2 Journal of Computational and Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Neural Networks 2 Advances in Computational Mathematics 2 Fractional Calculus & Applied Analysis 2 Asian Journal of Control 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 International Journal of Systems Science 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Information Sciences 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics Letters 1 Signal Processing 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Complexity 1 The Journal of Fourier Analysis and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Revista Matemática Complutense 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Multiscale Modeling & Simulation 1 International Journal of Numerical Analysis and Modeling 1 African Diaspora Journal of Mathematics 1 Inverse Problems and Imaging 1 Nonlinear Analysis. Hybrid Systems 1 Journal of Control Science and Engineering 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Evolution Equations and Control Theory 1 Open Mathematics
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#### Cited in 26 Fields

 87 Numerical analysis (65-XX) 83 Fluid mechanics (76-XX) 49 Partial differential equations (35-XX) 26 Mechanics of deformable solids (74-XX) 24 Systems theory; control (93-XX) 11 Ordinary differential equations (34-XX) 10 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 Operator theory (47-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)