Edit Profile (opens in new tab) Liu, Xiaoying Compute Distance To: Compute Author ID: liu.xiaoying Published as: Liu, Xiaoying; Liu, Xiao-Ying Documents Indexed: 52 Publications since 1987 Co-Authors: 32 Co-Authors with 35 Joint Publications 1,129 Co-Co-Authors all top 5 Co-Authors 6 single-authored 8 Sun, Jingxian 7 Ding, Yanheng 5 Wu, Congxin 3 Karihaloo, Bhushan Lal 3 Xiao, Qizhi 2 Chen, Yung-Ming 2 Du, Yan 2 Lai, Choi-Hong 2 Liu, Tongxin 2 Pericleous, Koulis A. 2 Wang, Hui 2 Xie, Zhilin 2 Zhao, Zhiye 1 An, Xinmei 1 Dai, Qionghai 1 Daubner, Simon 1 Fan, Howard 1 Gong, Zengtai 1 Gui, Weihua 1 Hao, Yanhua 1 He, Lei 1 Huang, Qingdao 1 Lin, Xiaokang 1 Liu, Chunhan 1 Liu, Guoxin 1 Liu, Wenbin 1 Liu, Zhaoyang 1 Ma, Shuqi 1 Nestler, Britta 1 Niu, Huawei 1 Schneider, Daniel 1 Wang, Meiqing 1 Wang, Xin 1 Wu, Min 1 Wu, Xuyang 1 Xie, Yongfang 1 Yang, Shengqi 1 Yue, Yong all top 5 Serials 5 Journal of Systems Science and Mathematical Sciences 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Journal of Xuzhou Normal University. Natural Science Edition 3 Journal of Mathematical Analysis and Applications 3 Engineering Analysis with Boundary Elements 2 Applied Mathematics and Computation 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Journal of Mathematics. Wuhan University 2 Natural Science Journal of Harbin Normal University 1 Computer Methods in Applied Mechanics and Engineering 1 Fluid Dynamics 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Acta Mathematica Sinica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Meccanica 1 Southeast Asian Bulletin of Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Journal of Nanjing University. Mathematical Biquarterly 1 International Journal of Computer Mathematics 1 Mathematical Problems in Engineering 1 Control Theory & Applications 1 Journal of Northwest Normal University. Natural Science 1 Nonlinear Functional Analysis and Applications 1 Journal of Jilin University. Science Edition 1 International Journal of Fracture 1 Acta Mathematica Sinica. Chinese Series 1 Journal of Algorithms & Computational Technology all top 5 Fields 19 Operator theory (47-XX) 13 Partial differential equations (35-XX) 9 Integral equations (45-XX) 8 Ordinary differential equations (34-XX) 7 Mechanics of deformable solids (74-XX) 6 Numerical analysis (65-XX) 4 Quantum theory (81-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-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 26 Publications have been cited 203 times in 145 Documents Cited by ▼ Year ▼ XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials. Zbl 1041.74543Liu, X. Y.; Xiao, Q. Z.; Karihaloo, B. L. 61 2004 Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities. Zbl 1283.35122Ding, Yanheng; Liu, Xiaoying 58 2013 Semi-classical limits of ground states of a nonlinear Dirac equation. Zbl 1236.35133Ding, Yanheng; Liu, Xiaoying 51 2012 Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations. Zbl 1177.47065Sun, Jingxian; Liu, Xiaoying 17 2008 Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element. Zbl 1187.74246Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 14 2004 Computation of topological degree for nonlinear operators and applications. Zbl 1169.47043Sun, Jingxian; Liu, Xiaoying 14 2008 Incremental-secant modulus iteration scheme and stress recovery for simulating cracking process in quasi-brittle materials using XFEM. Zbl 1194.74483Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 11 2007 Computation for topological degree and its applications. Zbl 0866.47043Sun, Jingxian; Liu, Xiaoying 10 1996 Computation of topological degree of unilaterally asymptotically linear operators and its applications. Zbl 1191.47076Liu, Xiaoying; Sun, Jingxian 9 2009 On semiclassical ground states of a nonlinear Dirac equation. Zbl 1457.35044Ding, Yanheng; Liu, Xiaoying 9 2012 Periodic solutions of a Dirac equation with concave and convex nonlinearities. Zbl 1314.35121Ding, Yanheng; Liu, Xiaoying 7 2015 Nontrivial solutions of singular nonlinear \(m\)-point boundary value problems. Zbl 1042.34031Liu, Xiaoying 7 2003 Augmented numerical manifold method with implementation of flat-top partition of unity. Zbl 1403.65136He, Lei; An, Xinmei; Liu, Xiaoying; Zhao, Zhiye; Yang, Shengqi 6 2015 Proof of linear independence of flat-top PU-based high-order approximation. Zbl 1297.65141An, X. M.; Liu, X. Y.; Zhao, Z. Y.; He, L. 5 2014 A fourth-order partial differential equation denoising model with an adaptive relaxation method. Zbl 1317.65138Liu, X. Y.; Lai, C.-H.; Pericleous, K. A. 5 2015 A generalized pulse-spectrum technique (GPST) for determining time- dependent coefficients of one-dimensional diffusion equations. Zbl 0618.65122Liu, X. Y.; Chen, Y. M. 5 1987 Computation of the topological degree and applications to superlinear system of equations. Zbl 0897.47050Liu, Xiaoying; Sun, Jingxian 4 1996 Computation of fixed point index for no-cone mappings and its applications. Zbl 1219.47090Sun, Jingxian; Liu, Xiaoying 3 2010 Convergence of a generalized pulse-spectrum technique (GPST) for inverse problems of 1-D diffusion equations in space-time domain. Zbl 0701.65082Liu, X. Y.; Chen, Y. M. 3 1988 Periodic waves of nonlinear Dirac equations. Zbl 1297.35196Ding, Yanheng; Liu, Xiaoying 3 2014 Asymptotic bifurcation points, and global bifurcation of nonlinear operators and its applications. Zbl 1227.47039Liu, Xiaoying; Sun, Jingxian 2 2012 A novel hybrid immune algorithm and its convergence based on the steepest descent algorithm. Zbl 1229.90275Liu, X. Y.; Zhang, A. L.; Gao, Y. L.; Zhao, W. 2 2011 On a modified diffusion model for noise removal. Zbl 1307.94010Liu, X. Y.; Lai, C.-H.; Pericleous, K. A.; Wang, M. Q. 1 2012 Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis. Zbl 1403.74314Liu, Xiaoying; Zhao, Zhiye; Ma, Shuqi 1 2018 Bifurcation points and global structure of positive eigenvalues for cone mappings with no differentiability at the zero point. Zbl 1230.47087Liu, Xiaoying; Sun, Jingxian 1 2010 Periodic solutions of an asymptotically linear Dirac equation. Zbl 1368.35228Ding, Yanheng; Liu, Xiaoying 1 2017 Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis. Zbl 1403.74314Liu, Xiaoying; Zhao, Zhiye; Ma, Shuqi 1 2018 Periodic solutions of an asymptotically linear Dirac equation. Zbl 1368.35228Ding, Yanheng; Liu, Xiaoying 1 2017 Periodic solutions of a Dirac equation with concave and convex nonlinearities. Zbl 1314.35121Ding, Yanheng; Liu, Xiaoying 7 2015 Augmented numerical manifold method with implementation of flat-top partition of unity. Zbl 1403.65136He, Lei; An, Xinmei; Liu, Xiaoying; Zhao, Zhiye; Yang, Shengqi 6 2015 A fourth-order partial differential equation denoising model with an adaptive relaxation method. Zbl 1317.65138Liu, X. Y.; Lai, C.-H.; Pericleous, K. A. 5 2015 Proof of linear independence of flat-top PU-based high-order approximation. Zbl 1297.65141An, X. M.; Liu, X. Y.; Zhao, Z. Y.; He, L. 5 2014 Periodic waves of nonlinear Dirac equations. Zbl 1297.35196Ding, Yanheng; Liu, Xiaoying 3 2014 Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities. Zbl 1283.35122Ding, Yanheng; Liu, Xiaoying 58 2013 Semi-classical limits of ground states of a nonlinear Dirac equation. Zbl 1236.35133Ding, Yanheng; Liu, Xiaoying 51 2012 On semiclassical ground states of a nonlinear Dirac equation. Zbl 1457.35044Ding, Yanheng; Liu, Xiaoying 9 2012 Asymptotic bifurcation points, and global bifurcation of nonlinear operators and its applications. Zbl 1227.47039Liu, Xiaoying; Sun, Jingxian 2 2012 On a modified diffusion model for noise removal. Zbl 1307.94010Liu, X. Y.; Lai, C.-H.; Pericleous, K. A.; Wang, M. Q. 1 2012 A novel hybrid immune algorithm and its convergence based on the steepest descent algorithm. Zbl 1229.90275Liu, X. Y.; Zhang, A. L.; Gao, Y. L.; Zhao, W. 2 2011 Computation of fixed point index for no-cone mappings and its applications. Zbl 1219.47090Sun, Jingxian; Liu, Xiaoying 3 2010 Bifurcation points and global structure of positive eigenvalues for cone mappings with no differentiability at the zero point. Zbl 1230.47087Liu, Xiaoying; Sun, Jingxian 1 2010 Computation of topological degree of unilaterally asymptotically linear operators and its applications. Zbl 1191.47076Liu, Xiaoying; Sun, Jingxian 9 2009 Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations. Zbl 1177.47065Sun, Jingxian; Liu, Xiaoying 17 2008 Computation of topological degree for nonlinear operators and applications. Zbl 1169.47043Sun, Jingxian; Liu, Xiaoying 14 2008 Incremental-secant modulus iteration scheme and stress recovery for simulating cracking process in quasi-brittle materials using XFEM. Zbl 1194.74483Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 11 2007 XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials. Zbl 1041.74543Liu, X. Y.; Xiao, Q. Z.; Karihaloo, B. L. 61 2004 Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element. Zbl 1187.74246Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 14 2004 Nontrivial solutions of singular nonlinear \(m\)-point boundary value problems. Zbl 1042.34031Liu, Xiaoying 7 2003 Computation for topological degree and its applications. Zbl 0866.47043Sun, Jingxian; Liu, Xiaoying 10 1996 Computation of the topological degree and applications to superlinear system of equations. Zbl 0897.47050Liu, Xiaoying; Sun, Jingxian 4 1996 Convergence of a generalized pulse-spectrum technique (GPST) for inverse problems of 1-D diffusion equations in space-time domain. Zbl 0701.65082Liu, X. Y.; Chen, Y. M. 3 1988 A generalized pulse-spectrum technique (GPST) for determining time- dependent coefficients of one-dimensional diffusion equations. Zbl 0618.65122Liu, X. Y.; Chen, Y. M. 5 1987 all cited Publications top 5 cited Publications all top 5 Cited by 154 Authors 19 Ding, Yanheng 14 Zhang, Jian 14 Zhang, Wen 11 Tang, Xianhua 10 Sun, Jingxian 10 Yang, Minbo 9 Liu, Xiaoying 7 Alves, Claudianor Oliveira 6 Guo, Qi 6 Wang, Jun 5 Figueiredo, Giovany Malcher 5 Li, Hongyu 5 Xu, Tian 5 Zhang, Fubao 4 Ambrosio, Vincenzo 4 Dong, Xiaojing 4 Xu, Xian 4 Yu, Yuanyang 4 Zhao, Zengqin 3 Cui, Yujun 3 Lin, Xiuli 3 Mao, Anmin 3 Xu, Junxiang 3 Yang, Yongtao 3 Zhang, Xu 3 Zhao, Fukun 3 Zheng, Hong 2 Chen, Shaowei 2 Chen, Yu 2 Gou, Tianxiang 2 Guan, Yongliang 2 He, Yi 2 Li, Suhong 2 O’Regan, Donal 2 Qin, Dongdong 2 Ruf, Bernhard 2 Shang, Xudong 2 Shao, Mengqiu 2 Shen, Liejun 2 Sun, Yongping 2 Tian, Lixin 2 Van Schaftingen, Jean 2 Wei, Juncheng 2 Wei, Yuanhong 2 Wei, Zhongli 2 Xiao, Lu 2 Xie, Shengli 2 Xie, YiMing 2 Yang, Zhilin 2 Zhang, Junting 2 Zhang, Xiaoping 1 Barile, Sara 1 Benhassine, Abderrazek 1 Bonheure, Denis 1 Cassani, Daniele 1 Chen, Xueting 1 Chen, Yongpeng 1 Cui, Na 1 Di Cosmo, Jonathan 1 Dong, Wei 1 Fan, Huo 1 Feng, Di 1 Gan, Lu 1 Gao, Fashun 1 Gu, Guangze 1 Guo, Lun 1 Guo, Qing 1 Guo, Ya-Hong 1 He, Xiaoming 1 Hu, Qingwan 1 Huang, Wentao 1 Ji, Yanju 1 Jia, HuiFang 1 Jiao, Yuyong 1 Kang, Ge 1 Khachnaoui, Khaled 1 Krawcewicz, Wieslaw Z. 1 Li, Gongbao 1 Li, Haitao 1 Li, Jiongyue 1 Li, Shaojun 1 Li, Shengjun 1 Li, Yong 1 Li, Yuan 1 Lin, Xiaoyan 1 Liu, Weiming 1 Liu, Xuewei 1 Liu, Yansheng 1 Liu, Zhibin 1 Lou, Zhenluo 1 Lu, Dianchen 1 Lu, Haixia 1 Lu, Lu 1 Luo, Huxiao 1 Mao, Jinxiu 1 Mo, Shuai 1 Mukherjee, Tuhina 1 Ni, Kesong 1 Ning, Youjun 1 Niu, Miaomiao ...and 54 more Authors all top 5 Cited in 56 Serials 16 Journal of Mathematical Analysis and Applications 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Mathematical Physics 9 Journal of Differential Equations 8 Boundary Value Problems 6 Calculus of Variations and Partial Differential Equations 6 Engineering Analysis with Boundary Elements 4 Applicable Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Discrete and Continuous Dynamical Systems 4 Communications on Pure and Applied Analysis 3 Applied Mathematics and Computation 3 Asymptotic Analysis 3 The Journal of Geometric Analysis 3 Abstract and Applied Analysis 3 Journal of Function Spaces 2 Mathematical Methods in the Applied Sciences 2 Acta Mathematicae Applicatae Sinica. English Series 2 Advanced Nonlinear Studies 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Milan Journal of Mathematics 2 Fixed Point Theory and Applications 2 Journal of Fixed Point Theory and Applications 2 Minimax Theory and its Applications 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Potential Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Positivity 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Complex Variables and Elliptic Equations 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics 1 Journal of Applied Analysis and Computation 1 Advances in Nonlinear Analysis 1 Journal of Operators 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics all top 5 Cited in 18 Fields 102 Partial differential equations (35-XX) 27 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Quantum theory (81-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Numerical analysis (65-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 2 Potential theory (31-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year