Edit Profile (opens in new tab) Liu, Jun Co-Author Distance Author ID: liu.jun.3 Published as: Liu, Jun Homepage: https://junliu2050.github.io/ External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 70 Publications since 2007, including 13 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 31 Co-Authors with 41 Joint Publications 1,602 Co-Co-Authors all top 5 Co-Authors 4 single-authored 12 Xiao, Mingqing 5 Leem, Koung Hee 5 Pelekanos, George 5 Wang, Xiangsheng 5 Wu, Shulin 4 Sun, Haiwei 4 Wang, Zhu 3 He, Yunhui 3 Jiang, Yi 2 Cao, Yanchuang 2 Cheng, Yuansheng 2 Duan, Chao 2 Fang, Wanliang 2 Hu, Weiwei 2 Huang, Yu 2 Jiang, Lin 2 Li, Buyang 2 Yan, Weiping 2 Zhou, Tao 1 Bedin, Luciano 1 Bothe, Dieter 1 Chen, Junxin 1 Chen, Xiaojun 1 Chen, Xiaoshan 1 Dai, Xiongping 1 Dargush, Gary F. 1 Du, Tingsong 1 Froese, Brittany D. 1 Fu, Chong 1 Gander, Martin Jakob 1 Guo, Shuocheng 1 Hadjesfandiari, Ali Reza 1 Hager, William W. 1 Hajesfandiari, Arezoo 1 Huang, Minghui 1 Huang, Tingwen 1 Jiang, Puyu 1 Lee, Spike T. 1 Lev, Benjamin 1 Li, Qingli 1 Li, Renfu 1 Li, Tianrui 1 Li, Weijia 1 Li, Wen 1 Ma, Zhuang 1 Mao, Guo-Shuai 1 Marić, Tomislav 1 Mohapatra, Subhashree 1 Montero, Javier 1 Oberman, Adam M. 1 Pan, Taoxing 1 Pearson, John W. 1 Peterson, Sean D. 1 Qian, Jiachang 1 Qian, Xinwu 1 Rao, Anil V. 1 Serry, Mohamed A. 1 Song, Wei 1 Sun, Liying 1 Tang, Jianliang 1 Tie, Ming 1 Tolle, Tobias 1 Tu, Yan 1 Viloche Bazán, Fermín S. 1 Wen, Xin 1 Xia, Haonan 1 Xu, Ke 1 Yao, Li 1 Yi, Jiaxiang 1 Yu, Yuping 1 Yuan, Zhichao 1 Yue, Xiaoqiang 1 Zhan, Dawei 1 Zhang, Jinlan 1 Zheng, Jianguo 1 Zheng, Yu 1 Zhou, Guangyan 1 Zhou, Xiaoyang all top 5 Serials 5 Journal of Computational and Applied Mathematics 4 Linear Algebra and its Applications 3 Information Sciences 3 SIAM Journal on Scientific Computing 2 Inverse Problems 2 Journal of Computational Physics 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Matrix Analysis and Applications 2 International Journal of Computer Mathematics 2 Inverse Problems in Science and Engineering 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Mathematical Biosciences 1 Wave Motion 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Acta Mathematicae Applicatae Sinica 1 Applied Numerical Mathematics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Numerical Algorithms 1 Computational Optimization and Applications 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Mathematical Problems in Engineering 1 European Journal of Mechanics. A. Solids 1 East-West Journal of Mathematics 1 Optimization and Engineering 1 Mathematical Theory and Application 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 Engineering Optimization 1 Networks and Heterogeneous Media all top 5 Fields 35 Numerical analysis (65-XX) 21 Partial differential equations (35-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 6 Operations research, mathematical programming (90-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 161 times in 123 Documents Cited by ▼ Year ▼ A fast block \(\alpha\)-circulant preconditoner for all-at-once systems from wave equations. Zbl 1460.65102 Liu, Jun; Wu, Shu-Lin 19 2020 Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. Zbl 1294.65098 Lee, Spike T.; Liu, Jun; Sun, Hai-Wei 16 2014 A fast and stable preconditioned iterative method for optimal control problem of wave equations. Zbl 1327.49052 Li, Buyang; Liu, Jun; Xiao, Mingqing 11 2015 Non-commutative discretize-then-optimize algorithms for elliptic PDE-constrained optimal control problems. Zbl 1416.65172 Liu, Jun; Wang, Zhu 9 2019 The finite-step realizability of the joint spectral radius of a pair of \(d \times d\) matrices one of which being rank-one. Zbl 1250.15011 Dai, Xiongping; Huang, Yu; Liu, Jun; Xiao, Mingqing 8 2012 Convergence rate for a Gauss collocation method applied to constrained optimal control. Zbl 1388.49031 Hager, William W.; Liu, Jun; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 8 2018 A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems. Zbl 1337.49050 Liu, Jun; Xiao, Mingqing 8 2016 Two direct factorization methods for inverse scattering problems. Zbl 1437.35705 Hee Leem, Koung; Liu, Jun; Pelekanos, George 8 2018 Numerical optimal control of a size-structured PDE model for metastatic cancer treatment. Zbl 1425.92114 Liu, Jun; Wang, Xiang-Sheng 7 2019 Rank-one characterization of joint spectral radius of finite matrix family. Zbl 1267.15009 Liu, Jun; Xiao, Mingqing 7 2013 Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions. Zbl 1339.65131 Liu, Jun; Huang, Yu; Sun, Haiwei; Xiao, Mingqing 6 2016 A parallel-in-time block-circulant preconditioner for optimal control of wave equations. Zbl 1440.49027 Wu, Shu-Lin; Liu, Jun 6 2020 A new semi-smooth Newton multigrid method for control-constrained semi-linear elliptic PDE problems. Zbl 1339.49025 Liu, Jun; Xiao, Mingqing 5 2016 A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions. Zbl 1382.49023 Liu, Jun; Xiao, Mingqing 5 2016 Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework. Zbl 1425.35235 Liu, Jun; Xiao, Mingqing 5 2019 Parameter-robust preconditioning for the optimal control of the wave equation. Zbl 07171737 Liu, Jun; Pearson, John W. 5 2020 A new multigrid method for unconstrained parabolic optimal control problems. Zbl 1370.65032 Li, Buyang; Liu, Jun; Xiao, Mingqing 4 2017 Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems. Zbl 1409.65055 Liu, Jun; Wang, Zhu 4 2018 Structured backward errors for generalized saddle point systems. Zbl 1256.65026 Chen, Xiao Shan; Li, Wen; Chen, Xiaojun; Liu, Jun 3 2012 An extended direct factorization method for inverse scattering with limited aperture data. Zbl 1479.65021 Leem, Koung Hee; Liu, Jun; Pelekanos, George 3 2020 A multigrid scheme for 3D Monge-Ampère equations. Zbl 1394.65130 Liu, Jun; Froese, Brittany D.; Oberman, Adam M.; Xiao, Mingqing 3 2017 A parallel constrained efficient global optimization algorithm for expensive constrained optimization problems. Zbl 1523.90319 Qian, Jiachang; Cheng, Yuansheng; Zhang, Jinlan; Liu, Jun; Zhan, Dawei 3 2021 Two fast finite difference schemes for elliptic Dirichlet boundary control problems. Zbl 1427.65329 Liu, Jun 2 2019 An adaptive quadrature-based factorization method for inverse acoustic scattering problems. Zbl 1477.65180 Leem, Koung Hee; Liu, Jun; Pelekanos, George 2 2019 Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. Zbl 1510.65229 Jiang, Yi; Liu, Jun 2 2023 Certain error bounds on the parameterized integral inequalities in the sense of fractal sets. Zbl 1504.26080 Yu, Yuping; Liu, Jun; Du, Tingsong 2 2022 A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. Zbl 07506441 Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao 2 2022 A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs. Zbl 1510.65199 Liu, Jun; Wang, Zhu 1 2022 An efficient constrained global optimization algorithm with a clustering-assisted multiobjective infill criterion using Gaussian process regression for expensive problems. Zbl 07768945 Jiang, Puyu; Cheng, Yuansheng; Yi, Jiaxiang; Liu, Jun 1 2021 A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems. Zbl 1505.65254 Jiang, Yi; Liu, Jun; Wang, Xiang-Sheng 1 2023 Parallel-in-time preconditioner for the sinc-Nyström systems. Zbl 1497.65156 Liu, Jun; Wu, Shu-Lin 1 2022 Global stability dynamics of the quasilinear damped Klein-Gordon equation with variable coefficients. Zbl 1515.81092 Li, Weijia; Liu, Jun; Yan, Weiping 1 2023 Fast parallel-in-time quasi-boundary value methods for backward heat conduction problems. Zbl 1510.65229 Jiang, Yi; Liu, Jun 2 2023 A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems. Zbl 1505.65254 Jiang, Yi; Liu, Jun; Wang, Xiang-Sheng 1 2023 Global stability dynamics of the quasilinear damped Klein-Gordon equation with variable coefficients. Zbl 1515.81092 Li, Weijia; Liu, Jun; Yan, Weiping 1 2023 Certain error bounds on the parameterized integral inequalities in the sense of fractal sets. Zbl 1504.26080 Yu, Yuping; Liu, Jun; Du, Tingsong 2 2022 A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. Zbl 07506441 Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao 2 2022 A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs. Zbl 1510.65199 Liu, Jun; Wang, Zhu 1 2022 Parallel-in-time preconditioner for the sinc-Nyström systems. Zbl 1497.65156 Liu, Jun; Wu, Shu-Lin 1 2022 A parallel constrained efficient global optimization algorithm for expensive constrained optimization problems. Zbl 1523.90319 Qian, Jiachang; Cheng, Yuansheng; Zhang, Jinlan; Liu, Jun; Zhan, Dawei 3 2021 An efficient constrained global optimization algorithm with a clustering-assisted multiobjective infill criterion using Gaussian process regression for expensive problems. Zbl 07768945 Jiang, Puyu; Cheng, Yuansheng; Yi, Jiaxiang; Liu, Jun 1 2021 A fast block \(\alpha\)-circulant preconditoner for all-at-once systems from wave equations. Zbl 1460.65102 Liu, Jun; Wu, Shu-Lin 19 2020 A parallel-in-time block-circulant preconditioner for optimal control of wave equations. Zbl 1440.49027 Wu, Shu-Lin; Liu, Jun 6 2020 Parameter-robust preconditioning for the optimal control of the wave equation. Zbl 07171737 Liu, Jun; Pearson, John W. 5 2020 An extended direct factorization method for inverse scattering with limited aperture data. Zbl 1479.65021 Leem, Koung Hee; Liu, Jun; Pelekanos, George 3 2020 Non-commutative discretize-then-optimize algorithms for elliptic PDE-constrained optimal control problems. Zbl 1416.65172 Liu, Jun; Wang, Zhu 9 2019 Numerical optimal control of a size-structured PDE model for metastatic cancer treatment. Zbl 1425.92114 Liu, Jun; Wang, Xiang-Sheng 7 2019 Quasi-boundary value methods for regularizing the backward parabolic equation under the optimal control framework. Zbl 1425.35235 Liu, Jun; Xiao, Mingqing 5 2019 Two fast finite difference schemes for elliptic Dirichlet boundary control problems. Zbl 1427.65329 Liu, Jun 2 2019 An adaptive quadrature-based factorization method for inverse acoustic scattering problems. Zbl 1477.65180 Leem, Koung Hee; Liu, Jun; Pelekanos, George 2 2019 Convergence rate for a Gauss collocation method applied to constrained optimal control. Zbl 1388.49031 Hager, William W.; Liu, Jun; Mohapatra, Subhashree; Rao, Anil V.; Wang, Xiang-Sheng 8 2018 Two direct factorization methods for inverse scattering problems. Zbl 1437.35705 Hee Leem, Koung; Liu, Jun; Pelekanos, George 8 2018 Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems. Zbl 1409.65055 Liu, Jun; Wang, Zhu 4 2018 A new multigrid method for unconstrained parabolic optimal control problems. Zbl 1370.65032 Li, Buyang; Liu, Jun; Xiao, Mingqing 4 2017 A multigrid scheme for 3D Monge-Ampère equations. Zbl 1394.65130 Liu, Jun; Froese, Brittany D.; Oberman, Adam M.; Xiao, Mingqing 3 2017 A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems. Zbl 1337.49050 Liu, Jun; Xiao, Mingqing 8 2016 Numerical methods for weak solution of wave equation with van der Pol type nonlinear boundary conditions. Zbl 1339.65131 Liu, Jun; Huang, Yu; Sun, Haiwei; Xiao, Mingqing 6 2016 A new semi-smooth Newton multigrid method for control-constrained semi-linear elliptic PDE problems. Zbl 1339.49025 Liu, Jun; Xiao, Mingqing 5 2016 A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions. Zbl 1382.49023 Liu, Jun; Xiao, Mingqing 5 2016 A fast and stable preconditioned iterative method for optimal control problem of wave equations. Zbl 1327.49052 Li, Buyang; Liu, Jun; Xiao, Mingqing 11 2015 Combined compact difference scheme for linear second-order partial differential equations with mixed derivative. Zbl 1294.65098 Lee, Spike T.; Liu, Jun; Sun, Hai-Wei 16 2014 Rank-one characterization of joint spectral radius of finite matrix family. Zbl 1267.15009 Liu, Jun; Xiao, Mingqing 7 2013 The finite-step realizability of the joint spectral radius of a pair of \(d \times d\) matrices one of which being rank-one. Zbl 1250.15011 Dai, Xiongping; Huang, Yu; Liu, Jun; Xiao, Mingqing 8 2012 Structured backward errors for generalized saddle point systems. Zbl 1256.65026 Chen, Xiao Shan; Li, Wen; Chen, Xiaojun; Liu, Jun 3 2012 all cited Publications top 5 cited Publications all top 5 Cited by 216 Authors 23 Liu, Jun 10 Xiao, Mingqing 9 Wu, Shulin 6 Pan, Kejia 5 Zhou, Tao 3 Ge, Yongbin 3 Hager, William W. 3 Harris, Isaac 3 He, Dongdong 3 Jiang, Yi 3 Kozyakin, Viktor Sergeevich 3 Leem, Koung Hee 3 Li, Buyang 3 Ma, Tingfu 3 Nguyen, Dinh Liem 3 Pelekanos, George 3 Rao, Anil V. 3 Sun, Tongjun 3 Wang, Xiangsheng 3 Yang, Caijie 2 Chebotarev, Pavel Yu. 2 Chen, Xuesong 2 Glowinski, Roland 2 Hassani, Hossein 2 He, Yunhui 2 Hon, Sean Y. 2 Huang, Yu 2 Jiang, Zhaolin 2 Kuznetsov, Nikolai Aleksandrovich 2 Li, Liangliang 2 Lv, Peng 2 Machado, José António Tenreiro 2 Park, Won-Kwang 2 Pearson, John W. 2 Serra-Capizzano, Stefano 2 Sun, Haiwei 2 Tang, Jianliang 2 Wang, Zhu 2 Wathen, Andrew John 2 Xu, Yingxiang 2 Yue, Xiaoqiang 2 Zhang, Zemian 2 Zheng, Bing 1 Altschuler, Jason M. 1 Băleanu, Dumitru I. 1 Bedin, Luciano 1 Beigl, Alexander 1 Böhmer, Klaus 1 Bouguima, Sidi Mohamed 1 Boutat, Driss 1 Caboussat, Alexandre 1 Caflisch, Russel E. 1 Cai, Shuting 1 Čaklović, Gayatri 1 Cao, Jian 1 Carracciuolo, Luisa 1 Chen, Buyun 1 Chen, Goong 1 Chen, Liuhong 1 Chen, Wanchun 1 Cheng, Aijie 1 Choquet, Catherine 1 Clason, Christian 1 Constantinescu, Emil M. 1 Dai, Xiongping 1 D’Amore, Luisa 1 Danieli, Federico 1 Darehmiraki, Majid 1 De Sterck, Hans 1 Deka, Dharmaraj 1 Diédhiou, Moussa Mory 1 Dong, Jiamei 1 Draganescu, Andrei 1 Du, Wenhao 1 Dumont, Grégory 1 Eide, Joseph D. 1 Einkemmer, Lukas 1 Falgout, Robert D. 1 Feng, Xiaoli 1 Frank, Martin 1 Fu, Jun-Liang 1 Fu, Xianlong 1 Gan, Zhengtao 1 Gander, Martin Jakob 1 Gao, Yun 1 Ghattas, Omar N. 1 Gondzio, Jacek 1 Gong, Yanpeng 1 Gourzoulidis, Dimitrios 1 Guo, Bao-Zhu 1 Hajghassem, Mona 1 Hao, Yongle 1 He, Qie 1 He, Yuwen 1 Hedayati, Mehrnoosh 1 Henry, Jacques 1 Hou, Hongyan 1 Hu, Hongling 1 Hu, Weiwei 1 Jeong, Nayoung ...and 116 more Authors all top 5 Cited in 59 Serials 8 Computers & Mathematics with Applications 8 SIAM Journal on Scientific Computing 5 SIAM Journal on Control and Optimization 5 SIAM Journal on Matrix Analysis and Applications 5 Journal of Scientific Computing 4 Inverse Problems 4 Journal of Computational Physics 4 Applied Mathematics and Computation 4 Journal of Computational and Applied Mathematics 4 Numerical Algorithms 4 Computational Optimization and Applications 4 Computational and Applied Mathematics 4 Advances in Difference Equations 3 Numerische Mathematik 3 Linear Algebra and its Applications 2 Wave Motion 2 Automatica 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematical Modelling 2 Automation and Remote Control 2 ETNA. Electronic Transactions on Numerical Analysis 2 Advances in Computational Mathematics 2 Abstract and Applied Analysis 2 East Asian Journal on Applied Mathematics 1 Computer Physics Communications 1 International Journal of Control 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Optimization 1 Calcolo 1 Canadian Mathematical Bulletin 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Kybernetika 1 Optimal Control Applications & Methods 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Applications of Mathematics 1 International Journal of Computer Mathematics 1 Journal of Nonlinear Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Honam Mathematical Journal 1 Optimization Methods & Software 1 Journal of the European Mathematical Society (JEMS) 1 Optimization and Engineering 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences and Engineering 1 Oberwolfach Reports 1 Inverse Problems in Science and Engineering 1 Communications in Applied Mathematics and Computational Science 1 Networks and Heterogeneous Media 1 Inverse Problems and Imaging 1 Differential Equations and Applications 1 Annals of Applied Mathematics 1 Electronic Research Archive all top 5 Cited in 30 Fields 84 Numerical analysis (65-XX) 52 Partial differential equations (35-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 19 Systems theory; control (93-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Operations research, mathematical programming (90-XX) 9 Fluid mechanics (76-XX) 7 Optics, electromagnetic theory (78-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year