Edit Profile (opens in new tab) Liu, Xiaoying Co-Author Distance Author ID: liu.xiaoying Published as: Liu, Xiaoying; Liu, Xiao-Ying Documents Indexed: 54 Publications since 1987 Co-Authors: 35 Co-Authors with 36 Joint Publications 1,321 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 3 Zhao, Zhiye 2 An, Xinmei 2 Chen, Yung-Ming 2 Du, Yan 2 Lai, Choi-Hong 2 Liu, Tongxin 2 Pericleous, Koulis A. 2 Wang, Hui 2 Xie, Zhilin 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 Jiao, Yuyong 1 Lin, Xiaokang 1 Liu, Chunhan 1 Liu, Guoxin 1 Liu, Wenbin 1 Liu, Xiaodong 1 Liu, Zhaoyang 1 Lu, Yong 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 1 Zhao, Weiguo 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 International Journal for Numerical Methods in Engineering 3 Engineering Analysis with Boundary Elements 2 Applied Mathematics and Computation 2 Journal of Differential Equations 2 Journal of Mathematics. Wuhan University 2 Applied Mathematics Letters 2 Natural Science Journal of Harbin Normal University 1 Computer Methods in Applied Mechanics and Engineering 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) 10 Ordinary differential equations (34-XX) 9 Integral equations (45-XX) 9 Numerical analysis (65-XX) 7 Mechanics of deformable solids (74-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 Special functions (33-XX) 1 Probability theory and stochastic processes (60-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 31 Publications have been cited 245 times in 176 Documents Cited by ▼ Year ▼ XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials. Zbl 1041.74543 Liu, X. Y.; Xiao, Q. Z.; Karihaloo, B. L. 71 2004 Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities. Zbl 1283.35122 Ding, Yanheng; Liu, Xiaoying 70 2013 Semi-classical limits of ground states of a nonlinear Dirac equation. Zbl 1236.35133 Ding, Yanheng; Liu, Xiaoying 58 2012 Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations. Zbl 1177.47065 Sun, Jingxian; Liu, Xiaoying 17 2008 Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element. Zbl 1187.74246 Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 16 2004 Computation of topological degree for nonlinear operators and applications. Zbl 1169.47043 Sun, Jingxian; Liu, Xiaoying 14 2008 Augmented numerical manifold method with implementation of flat-top partition of unity. Zbl 1403.65136 He, Lei; An, Xinmei; Liu, Xiaoying; Zhao, Zhiye; Yang, Shengqi 12 2015 Incremental-secant modulus iteration scheme and stress recovery for simulating cracking process in quasi-brittle materials using XFEM. Zbl 1194.74483 Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 11 2007 Computation for topological degree and its applications. Zbl 0866.47043 Sun, Jingxian; Liu, Xiaoying 10 1996 On semiclassical ground states of a nonlinear Dirac equation. Zbl 1457.35044 Ding, Yanheng; Liu, Xiaoying 10 2012 Periodic solutions of a Dirac equation with concave and convex nonlinearities. Zbl 1314.35121 Ding, Yanheng; Liu, Xiaoying 10 2015 Computation of topological degree of unilaterally asymptotically linear operators and its applications. Zbl 1191.47076 Liu, Xiaoying; Sun, Jingxian 9 2009 Proof of linear independence of flat-top PU-based high-order approximation. Zbl 1297.65141 An, X. M.; Liu, X. Y.; Zhao, Z. Y.; He, L. 8 2014 A generalized pulse-spectrum technique (GPST) for determining time- dependent coefficients of one-dimensional diffusion equations. Zbl 0618.65122 Liu, X. Y.; Chen, Y. M. 8 1987 Nontrivial solutions of singular nonlinear \(m\)-point boundary value problems. Zbl 1042.34031 Liu, Xiaoying 7 2003 A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative. Zbl 1527.65056 Li, X. Y.; Liu, X. Y. 7 2023 Periodic waves of nonlinear Dirac equations. Zbl 1297.35196 Ding, Yanheng; Liu, Xiaoying 6 2014 A fourth-order partial differential equation denoising model with an adaptive relaxation method. Zbl 1317.65138 Liu, X. Y.; Lai, C.-H.; Pericleous, K. A. 6 2015 Periodic solutions of an asymptotically linear Dirac equation. Zbl 1368.35228 Ding, Yanheng; Liu, Xiaoying 5 2017 Computation of the topological degree and applications to superlinear system of equations. Zbl 0897.47050 Liu, Xiaoying; Sun, Jingxian 5 1996 Computation of fixed point index for no-cone mappings and its applications. Zbl 1219.47090 Sun, 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 0701.65082 Liu, X. Y.; Chen, Y. M. 3 1988 Local refinement of flat-top partition of unity based high-order approximation. Zbl 07865087 Liu, Xiaoying; Zhao, Zhiye; An, Xinmei; Jiao, Yuyong 2 2018 Asymptotic bifurcation points, and global bifurcation of nonlinear operators and its applications. Zbl 1227.47039 Liu, Xiaoying; Sun, Jingxian 2 2012 A novel hybrid immune algorithm and its convergence based on the steepest descent algorithm. Zbl 1229.90275 Liu, X. Y.; Zhang, A. L.; Gao, Y. L.; Zhao, W. 2 2011 Periodic solutions of superlinear Dirac equations with perturbations from symmetry. Zbl 1380.81104 Ding, Yanheng; Liu, Xiaoying 2 2018 Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis. Zbl 1403.74314 Liu, Xiaoying; Zhao, Zhiye; Ma, Shuqi 2 2018 Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data. Zbl 1540.65196 Li, X. Y.; Wu, B. Y.; Liu, X. Y. 1 2024 Bifurcation points and global structure of positive eigenvalues for cone mappings with no differentiability at the zero point. Zbl 1230.47087 Liu, Xiaoying; Sun, Jingxian 1 2010 Modeling and dynamics analysis of helical spring under compression using a curved beam element with consideration on contact between its coils. Zbl 1341.74108 Yang, C. J.; Zhang, W. H.; Ren, G. X.; Liu, X. Y. 1 2014 On a modified diffusion model for noise removal. Zbl 1307.94010 Liu, X. Y.; Lai, C.-H.; Pericleous, K. A.; Wang, M. Q. 1 2012 Mittag-Leffler kernel-based oversampling collocation method for fractional initial value problems with contaminated data. Zbl 1540.65196 Li, X. Y.; Wu, B. Y.; Liu, X. Y. 1 2024 A hybrid kernel functions collocation approach for boundary value problems with Caputo fractional derivative. Zbl 1527.65056 Li, X. Y.; Liu, X. Y. 7 2023 Local refinement of flat-top partition of unity based high-order approximation. Zbl 07865087 Liu, Xiaoying; Zhao, Zhiye; An, Xinmei; Jiao, Yuyong 2 2018 Periodic solutions of superlinear Dirac equations with perturbations from symmetry. Zbl 1380.81104 Ding, Yanheng; Liu, Xiaoying 2 2018 Simulating stress wave with flat-top partition of unity based high-order discontinuous deformation analysis. Zbl 1403.74314 Liu, Xiaoying; Zhao, Zhiye; Ma, Shuqi 2 2018 Periodic solutions of an asymptotically linear Dirac equation. Zbl 1368.35228 Ding, Yanheng; Liu, Xiaoying 5 2017 Augmented numerical manifold method with implementation of flat-top partition of unity. Zbl 1403.65136 He, Lei; An, Xinmei; Liu, Xiaoying; Zhao, Zhiye; Yang, Shengqi 12 2015 Periodic solutions of a Dirac equation with concave and convex nonlinearities. Zbl 1314.35121 Ding, Yanheng; Liu, Xiaoying 10 2015 A fourth-order partial differential equation denoising model with an adaptive relaxation method. Zbl 1317.65138 Liu, X. Y.; Lai, C.-H.; Pericleous, K. A. 6 2015 Proof of linear independence of flat-top PU-based high-order approximation. Zbl 1297.65141 An, X. M.; Liu, X. Y.; Zhao, Z. Y.; He, L. 8 2014 Periodic waves of nonlinear Dirac equations. Zbl 1297.35196 Ding, Yanheng; Liu, Xiaoying 6 2014 Modeling and dynamics analysis of helical spring under compression using a curved beam element with consideration on contact between its coils. Zbl 1341.74108 Yang, C. J.; Zhang, W. H.; Ren, G. X.; Liu, X. Y. 1 2014 Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities. Zbl 1283.35122 Ding, Yanheng; Liu, Xiaoying 70 2013 Semi-classical limits of ground states of a nonlinear Dirac equation. Zbl 1236.35133 Ding, Yanheng; Liu, Xiaoying 58 2012 On semiclassical ground states of a nonlinear Dirac equation. Zbl 1457.35044 Ding, Yanheng; Liu, Xiaoying 10 2012 Asymptotic bifurcation points, and global bifurcation of nonlinear operators and its applications. Zbl 1227.47039 Liu, Xiaoying; Sun, Jingxian 2 2012 On a modified diffusion model for noise removal. Zbl 1307.94010 Liu, 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 1229.90275 Liu, 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 1219.47090 Sun, Jingxian; Liu, Xiaoying 3 2010 Bifurcation points and global structure of positive eigenvalues for cone mappings with no differentiability at the zero point. Zbl 1230.47087 Liu, Xiaoying; Sun, Jingxian 1 2010 Computation of topological degree of unilaterally asymptotically linear operators and its applications. Zbl 1191.47076 Liu, Xiaoying; Sun, Jingxian 9 2009 Computation of topological degree in ordered Banach spaces with lattice structure and its application to superlinear differential equations. Zbl 1177.47065 Sun, Jingxian; Liu, Xiaoying 17 2008 Computation of topological degree for nonlinear operators and applications. Zbl 1169.47043 Sun, Jingxian; Liu, Xiaoying 14 2008 Incremental-secant modulus iteration scheme and stress recovery for simulating cracking process in quasi-brittle materials using XFEM. Zbl 1194.74483 Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 11 2007 XFEM for direct evaluation of mixed mode SIFs in homogeneous and bi-materials. Zbl 1041.74543 Liu, X. Y.; Xiao, Q. Z.; Karihaloo, B. L. 71 2004 Direct determination of SIF and higher order terms of mixed mode cracks by a hybrid crack element. Zbl 1187.74246 Xiao, Q. Z.; Karihaloo, B. L.; Liu, X. Y. 16 2004 Nontrivial solutions of singular nonlinear \(m\)-point boundary value problems. Zbl 1042.34031 Liu, Xiaoying 7 2003 Computation for topological degree and its applications. Zbl 0866.47043 Sun, Jingxian; Liu, Xiaoying 10 1996 Computation of the topological degree and applications to superlinear system of equations. Zbl 0897.47050 Liu, Xiaoying; Sun, Jingxian 5 1996 Convergence of a generalized pulse-spectrum technique (GPST) for inverse problems of 1-D diffusion equations in space-time domain. Zbl 0701.65082 Liu, X. Y.; Chen, Y. M. 3 1988 A generalized pulse-spectrum technique (GPST) for determining time- dependent coefficients of one-dimensional diffusion equations. Zbl 0618.65122 Liu, X. Y.; Chen, Y. M. 8 1987 all cited Publications top 5 cited Publications all top 5 Cited by 211 Authors 23 Ding, Yanheng 14 Zhang, Jian 14 Zhang, Wen 12 Yang, Minbo 11 Tang, Xianhua 10 Liu, Xiaoying 10 Sun, Jingxian 8 Alves, Claudianor Oliveira 7 Guo, Qi 6 Wang, Jun 6 Yu, Yuanyang 5 Dong, Xiaojing 5 Figueiredo, Giovany Malcher 5 Li, Hongyu 5 Xu, Tian 5 Zhang, Fubao 5 Zhao, Fukun 4 Ambrosio, Vincenzo 4 Xu, Xian 4 Yang, Yongtao 4 Zhao, Zengqin 4 Zheng, Hong 3 Cui, Yujun 3 Kang, Ge 3 Lin, Xiuli 3 Mao, Anmin 3 Ning, Youjun 3 Shan, Yuan 3 Shen, Liejun 3 Xu, Junxiang 3 Zhang, Xu 2 Chen, Pan 2 Chen, Pengwan 2 Chen, Shaowei 2 Chen, Xueting 2 Chen, Yu 2 Gou, Tianxiang 2 Guan, Yongliang 2 Jiao, Yuyong 2 Khachnaoui, Khaled 2 Li, Suhong 2 Liu, Zhijun 2 Ni, Kesong 2 O’Regan, Donal 2 Qin, Dongdong 2 Rădulescu, Vicenţiu D. 2 Ruf, Bernhard 2 Shang, Xudong 2 Shao, Mengqiu 2 Shen, Zifei 2 Sun, Guanhua 2 Sun, Yongping 2 Tian, Lixin 2 Van Schaftingen, Jean 2 Wang, Dong 2 Wang, Huayang 2 Wang, Zhi-Qiang 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 An, Xinmei 1 Barile, Sara 1 Benhassine, Abderrazek 1 Bonheure, Denis 1 Cai, Zhen 1 Cassani, Daniele 1 Chen, Haibo 1 Chen, Peng 1 Chen, Ruyi 1 Chen, Wenjing 1 Chen, Yongpeng 1 Cui, Na 1 de Lima, Romildo N. 1 de S. Germano, Diogo 1 Deng, Shengbing 1 Di Cosmo, Jonathan 1 Dong, Wei 1 Fan, Huo 1 Feng, Di 1 Fu, Guoyang 1 Gan, Lu 1 Gao, Fashun 1 Ghasemzadeh, Hasan 1 Gu, Guangze 1 Guan, Zhichun 1 Guo, Lun 1 Guo, Qing 1 Guo, Yahong 1 He, Xiaoming 1 He, Yi 1 Hu, Ling 1 Hu, Qingwan 1 Huang, Wentao 1 Ji, Yanju ...and 111 more Authors all top 5 Cited in 62 Serials 17 Journal of Mathematical Analysis and Applications 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Journal of Differential Equations 10 Journal of Mathematical Physics 10 Boundary Value Problems 9 Engineering Analysis with Boundary Elements 7 Applicable Analysis 6 Calculus of Variations and Partial Differential Equations 5 The Journal of Geometric Analysis 5 Communications on Pure and Applied Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Discrete and Continuous Dynamical Systems 3 Mathematical Methods in the Applied Sciences 3 Applied Mathematics and Computation 3 International Journal for Numerical Methods in Engineering 3 Asymptotic Analysis 3 Abstract and Applied Analysis 3 Journal of Function Spaces 2 Nonlinearity 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematical Modelling 2 Communications in Nonlinear Science and Numerical Simulation 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 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Nonlinear Analysis 2 Minimax Theory and its Applications 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 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 Annales Henri Poincaré 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Complex Variables and Elliptic Equations 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 Journal of Nonlinear Science and Applications 1 Advances in Mathematical Physics 1 Annals of Functional Analysis 1 Journal of Applied Analysis and Computation 1 Journal of Operators 1 Journal of Elliptic and Parabolic Equations 1 AIMS Mathematics all top 5 Cited in 19 Fields 122 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 26 Operator theory (47-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 20 Quantum theory (81-XX) 15 Numerical analysis (65-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Mechanics of deformable solids (74-XX) 4 Integral equations (45-XX) 4 Optics, electromagnetic theory (78-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 \(K\)-theory (19-XX) 2 Potential theory (31-XX) 1 Category theory; homological algebra (18-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year