Edit Profile Xu, Yan Compute Distance To: Compute Author ID: xu.yan Published as: Xu, Y.; Xu, Yan Homepage: http://staff.ustc.edu.cn/~yxu/ External Links: MGP Documents Indexed: 102 Publications since 2002 all top 5 Co-Authors 2 single-authored 18 Shu, Chi-Wang 11 Guo, Ruihan 11 Xia, Yinhua 8 van der Vegt, Jaap J. W. 5 Ji, Liangyue 3 Chen, Falai 3 Kuerten, J. G. M. 3 Tao, Qi 3 Tian, Lulu 3 Zhang, Futao 2 Jiang, Jinfeng 2 Lu, Zhongjie 2 Ryan, Jennifer K. 2 Zhou, Lingling 1 Bokhove, Onno 1 Cao, Waixiang 1 Çeşmelioğlu, Ayçıl 1 Dai, Hui-Hui 1 Filbet, Francis 1 Guo, Li 1 Guo, Li 1 Xu, Zhengfu 1 Zhang, Chao 1 Zhang, Chao 1 Zhang, Zhimin all top 5 Serials 15 Journal of Scientific Computing 10 Journal of Computational Physics 7 Communications in Computational Physics 4 SIAM Journal on Scientific Computing 3 SIAM Journal on Numerical Analysis 3 Journal of Computational Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematics of Computation 2 Communications in Mathematics and Statistics 1 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 Physica D 1 Journal of Tianjin Normal University. Natural Science Edition 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Numerical Analysis and Modeling 1 Chinese Journal of Engineering Mathematics 1 Annals of Mathematical Sciences and Applications all top 5 Fields 53 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 9 Fluid mechanics (76-XX) 3 Mechanics of deformable solids (74-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 60 Publications have been cited 797 times in 462 Documents Cited by ▼ Year ▼ Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205Xu, Yan; Shu, Chi-Wang 95 2010 Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130Xu, Yan; Shu, Chi-Wang 88 2005 Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 63 2007 A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063Xu, Yan; Shu, Chi-Wang 60 2008 Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations. Zbl 1173.65338Xu, Yan; Shu, Chi-Wang 47 2007 Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035Xu, Yan; Shu, Chi-Wang 44 2006 Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121Xu, Yan; Shu, Chi-Wang 41 2012 Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111Xu, Yan; Shu, Chi-Wang 37 2005 Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 33 2007 Local discontinuous Galerkin methods for three classes of nonlinear wave equations. Zbl 1050.65093Xu, Yan; Shu, Chiwang 30 2004 Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 27 2009 Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions. Zbl 1270.65058Ji, Liangyue; Xu, Yan; Ryan, Jennifer K. 17 2012 Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations. Zbl 1296.65134Guo, Ruihan; Xu, Yan 16 2014 An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1349.76211Guo, Ruihan; Xia, Yinhua; Xu, Yan 14 2014 Local discontinuous Galerkin methods for the generalized Zakharov system. Zbl 1180.76035Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 14 2010 Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs. Zbl 1203.65190Xu, Yan; Shu, Chi-Wang 13 2009 Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation. Zbl 1330.65149Guo, Ruihan; Xu, Yan 12 2016 Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator. Zbl 1334.65154Guo, Li; Xu, Yan 10 2015 Space-time discontinuous Galerkin method for nonlinear water waves. Zbl 1117.76038van der Vegt, J. J. W.; Xu, Yan 10 2007 Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation. Zbl 1319.65096Guo, Ruihan; Xu, Yan; Xu, Zhengfu 9 2015 Local discontinuous Galerkin methods for the Degasperis-Procesi equation. Zbl 1364.65204Xu, Yan; Shu, Chi-Wang 8 2011 Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153Ji, Liangyue; Xu, Yan 8 2011 A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76275Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. 7 2015 Negative-order norm estimates for nonlinear hyperbolic conservation laws. Zbl 1266.65155Ji, Liangyue; Xu, Yan; Ryan, Jennifer K. 7 2013 Discontinuous Galerkin methods for isogeometric analysis for elliptic equations on surfaces. Zbl 1310.65149Zhang, Futao; Xu, Yan; Chen, Falai 6 2014 Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. Zbl 1415.65153Guo, Ruihan; Xia, Yinhua; Xu, Yan 5 2017 Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang 5 2017 Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. Zbl 1352.65301Guo, Ruihan; Filbet, Francis; Xu, Yan 5 2016 High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation. Zbl 1363.65162Guo, Ruihan; Ji, Liangyue; Xu, Yan 5 2016 A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids. Zbl 1297.76106Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. 5 2014 The fundamental solution of Mindlin plates with damping in the Laplace domain and its applications. Zbl 1244.74236Wen, P. H.; Adetoro, M.; Xu, Y. 5 2008 Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limits. Zbl 1189.65230Xu, Yan; Shu, Chi-Wang 5 2008 Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations. Zbl 1407.65188Fu, Pei; Li, Fengyan; Xu, Yan 4 2018 An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations. Zbl 1349.76276Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. 4 2016 Dissipative numerical methods for the Hunter-Saxton equation. Zbl 1240.65301Xu, Yan; Shu, Chi-Wang 4 2010 An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system. Zbl 1349.65452Guo, Ruihan; Xu, Yan 3 2015 A conservative local discontinuous Galerkin method for the Schrödinger-KdV system. Zbl 1388.65110Xia, Yinhua; Xu, Yan 3 2014 Local discontinuous Galerkin methods for the \(\mu \)-Camassa-Holm and \(\mu \)-Degasperis-Procesi equations. Zbl 1450.65131Zhang, Chao; Xu, Yan; Xia, Yinhua 2 2019 Discontinuous Galerkin methods with optimal \(L^2\) accuracy for one dimensional linear PDEs with high order spatial derivatives. Zbl 07063592Fu, Pei; Cheng, Yingda; Li, Fengyan; Xu, Yan 2 2019 The logarithmic vector multiplicative error model: an application to high frequency NYSE stock data. Zbl 1402.91927Taylor, N.; Xu, Y. 2 2017 Lysine acetylation sites prediction using an ensemble of support vector machine classifiers. Zbl 1406.92223Xu, Yan; Wang, Xiao-Bo; Ding, Jun; Wu, Ling-Yun; Deng, Nai-Yang 2 2010 Discontinuous Hamiltonian finite element method for linear hyperbolic systems. Zbl 1203.37126Xu, Yan; Van Der Vegt, Jaap J. W.; Bokhove, Onno 2 2008 An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118Tao, Qi; Xu, Yan; Shu, Chi-Wang 1 2020 Periodic averaging principle for neutral stochastic delay differential equations with impulses. Zbl 1441.60040Wang, Peiguang; Xu, Yan 1 2020 Superconvergence of arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1428.65047Tao, Qi; Xu, Yan 1 2019 Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations. Zbl 07099323van der Vegt, J. J. W.; Xia, Yinhua; Xu, Yan 1 2019 Extremal properties of the multivariate extended skew-normal distribution. Part B. Zbl 1412.62052Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A. 1 2019 Extremal properties of the univariate extended skew-normal distribution. Part A. Zbl 1412.62051Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A. 1 2019 Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions. Zbl 1397.74061Le Quang, H.; Xu, Y.; He, Q.-C. 1 2018 Weighted essentially non-oscillatory schemes for Degasperis-Procesi equation with discontinuous solutions. Zbl 1381.65069Xia, Yinhua; Xu, Yan 1 2017 Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals. Zbl 1362.78008Lu, Zhongjie; Cesmelioglu, A.; Van der Vegt, J. J. W.; Xu, Yan 1 2017 Closed-form FIR filter design based on convolution window spectrum interpolation. Zbl 1412.94045Huang, Xiangdong; Jing, Senxue; Wang, Zhaohua; Xu, Yan; Zheng, Youquan 1 2016 \(p\)th moment asymptotic stability for neutral stochastic functional differential equations with Lévy processes. Zbl 1410.34224Xu, Yan; He, Zhimin; Wang, Peiguang 1 2015 Model and algorithm for container allocation problem with random freight demands in synchromodal transportation. Zbl 1394.90145Xu, Yan; Cao, Chengxuan; Jia, Bin; Zang, Guangzhi 1 2015 Interior penalty discontinuous Galerkin based isogeometric analysis for Allen-Cahn equations on surfaces. Zbl 1388.65113Zhang, Futao; Xu, Yan; Chen, Falai; Guo, Ruihan 1 2015 Prediction of posttranslational modification sites from amino acid sequences with kernel methods. Zbl 1412.92250Xu, Yan; Wang, Xiaobo; Wang, Yongcui; Tian, Yingjie; Shao, Xiaojian; Wu, Ling-Yun; Deng, Naiyang 1 2014 Local discontinuous Galerkin methods for the 2D simulation of quantum transport phenomena on quantum directional coupler. Zbl 1388.65148Guo, Li; Xu, Yan 1 2014 A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui 1 2014 Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material. Zbl 1309.74071Jiang, Jinfeng; Xu, Yan 1 2013 Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes. Zbl 1251.65130Ji, Liangyue; Xu, Yan 1 2012 An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118Tao, Qi; Xu, Yan; Shu, Chi-Wang 1 2020 Periodic averaging principle for neutral stochastic delay differential equations with impulses. Zbl 1441.60040Wang, Peiguang; Xu, Yan 1 2020 Local discontinuous Galerkin methods for the \(\mu \)-Camassa-Holm and \(\mu \)-Degasperis-Procesi equations. Zbl 1450.65131Zhang, Chao; Xu, Yan; Xia, Yinhua 2 2019 Discontinuous Galerkin methods with optimal \(L^2\) accuracy for one dimensional linear PDEs with high order spatial derivatives. Zbl 07063592Fu, Pei; Cheng, Yingda; Li, Fengyan; Xu, Yan 2 2019 Superconvergence of arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1428.65047Tao, Qi; Xu, Yan 1 2019 Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations. Zbl 07099323van der Vegt, J. J. W.; Xia, Yinhua; Xu, Yan 1 2019 Extremal properties of the multivariate extended skew-normal distribution. Part B. Zbl 1412.62052Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A. 1 2019 Extremal properties of the univariate extended skew-normal distribution. Part A. Zbl 1412.62051Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A. 1 2019 Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations. Zbl 1407.65188Fu, Pei; Li, Fengyan; Xu, Yan 4 2018 Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions. Zbl 1397.74061Le Quang, H.; Xu, Y.; He, Q.-C. 1 2018 Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. Zbl 1415.65153Guo, Ruihan; Xia, Yinhua; Xu, Yan 5 2017 Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang 5 2017 The logarithmic vector multiplicative error model: an application to high frequency NYSE stock data. Zbl 1402.91927Taylor, N.; Xu, Y. 2 2017 Weighted essentially non-oscillatory schemes for Degasperis-Procesi equation with discontinuous solutions. Zbl 1381.65069Xia, Yinhua; Xu, Yan 1 2017 Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals. Zbl 1362.78008Lu, Zhongjie; Cesmelioglu, A.; Van der Vegt, J. J. W.; Xu, Yan 1 2017 Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation. Zbl 1330.65149Guo, Ruihan; Xu, Yan 12 2016 Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. Zbl 1352.65301Guo, Ruihan; Filbet, Francis; Xu, Yan 5 2016 High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation. Zbl 1363.65162Guo, Ruihan; Ji, Liangyue; Xu, Yan 5 2016 An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations. Zbl 1349.76276Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. 4 2016 Closed-form FIR filter design based on convolution window spectrum interpolation. Zbl 1412.94045Huang, Xiangdong; Jing, Senxue; Wang, Zhaohua; Xu, Yan; Zheng, Youquan 1 2016 Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator. Zbl 1334.65154Guo, Li; Xu, Yan 10 2015 Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation. Zbl 1319.65096Guo, Ruihan; Xu, Yan; Xu, Zhengfu 9 2015 A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76275Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. 7 2015 An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system. Zbl 1349.65452Guo, Ruihan; Xu, Yan 3 2015 \(p\)th moment asymptotic stability for neutral stochastic functional differential equations with Lévy processes. Zbl 1410.34224Xu, Yan; He, Zhimin; Wang, Peiguang 1 2015 Model and algorithm for container allocation problem with random freight demands in synchromodal transportation. Zbl 1394.90145Xu, Yan; Cao, Chengxuan; Jia, Bin; Zang, Guangzhi 1 2015 Interior penalty discontinuous Galerkin based isogeometric analysis for Allen-Cahn equations on surfaces. Zbl 1388.65113Zhang, Futao; Xu, Yan; Chen, Falai; Guo, Ruihan 1 2015 Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations. Zbl 1296.65134Guo, Ruihan; Xu, Yan 16 2014 An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1349.76211Guo, Ruihan; Xia, Yinhua; Xu, Yan 14 2014 Discontinuous Galerkin methods for isogeometric analysis for elliptic equations on surfaces. Zbl 1310.65149Zhang, Futao; Xu, Yan; Chen, Falai 6 2014 A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids. Zbl 1297.76106Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W. 5 2014 A conservative local discontinuous Galerkin method for the Schrödinger-KdV system. Zbl 1388.65110Xia, Yinhua; Xu, Yan 3 2014 Prediction of posttranslational modification sites from amino acid sequences with kernel methods. Zbl 1412.92250Xu, Yan; Wang, Xiaobo; Wang, Yongcui; Tian, Yingjie; Shao, Xiaojian; Wu, Ling-Yun; Deng, Naiyang 1 2014 Local discontinuous Galerkin methods for the 2D simulation of quantum transport phenomena on quantum directional coupler. Zbl 1388.65148Guo, Li; Xu, Yan 1 2014 A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui 1 2014 Negative-order norm estimates for nonlinear hyperbolic conservation laws. Zbl 1266.65155Ji, Liangyue; Xu, Yan; Ryan, Jennifer K. 7 2013 Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material. Zbl 1309.74071Jiang, Jinfeng; Xu, Yan 1 2013 Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121Xu, Yan; Shu, Chi-Wang 41 2012 Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions. Zbl 1270.65058Ji, Liangyue; Xu, Yan; Ryan, Jennifer K. 17 2012 Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes. Zbl 1251.65130Ji, Liangyue; Xu, Yan 1 2012 Local discontinuous Galerkin methods for the Degasperis-Procesi equation. Zbl 1364.65204Xu, Yan; Shu, Chi-Wang 8 2011 Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153Ji, Liangyue; Xu, Yan 8 2011 Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205Xu, Yan; Shu, Chi-Wang 95 2010 Local discontinuous Galerkin methods for the generalized Zakharov system. Zbl 1180.76035Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 14 2010 Dissipative numerical methods for the Hunter-Saxton equation. Zbl 1240.65301Xu, Yan; Shu, Chi-Wang 4 2010 Lysine acetylation sites prediction using an ensemble of support vector machine classifiers. Zbl 1406.92223Xu, Yan; Wang, Xiao-Bo; Ding, Jun; Wu, Ling-Yun; Deng, Nai-Yang 2 2010 Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 27 2009 Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs. Zbl 1203.65190Xu, Yan; Shu, Chi-Wang 13 2009 A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063Xu, Yan; Shu, Chi-Wang 60 2008 The fundamental solution of Mindlin plates with damping in the Laplace domain and its applications. Zbl 1244.74236Wen, P. H.; Adetoro, M.; Xu, Y. 5 2008 Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limits. Zbl 1189.65230Xu, Yan; Shu, Chi-Wang 5 2008 Discontinuous Hamiltonian finite element method for linear hyperbolic systems. Zbl 1203.37126Xu, Yan; Van Der Vegt, Jaap J. W.; Bokhove, Onno 2 2008 Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 63 2007 Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations. Zbl 1173.65338Xu, Yan; Shu, Chi-Wang 47 2007 Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076Xia, Yinhua; Xu, Yan; Shu, Chi-Wang 33 2007 Space-time discontinuous Galerkin method for nonlinear water waves. Zbl 1117.76038van der Vegt, J. J. W.; Xu, Yan 10 2007 Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035Xu, Yan; Shu, Chi-Wang 44 2006 Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130Xu, Yan; Shu, Chi-Wang 88 2005 Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111Xu, Yan; Shu, Chi-Wang 37 2005 Local discontinuous Galerkin methods for three classes of nonlinear wave equations. Zbl 1050.65093Xu, Yan; Shu, Chiwang 30 2004 all cited Publications top 5 cited Publications all top 5 Cited by 766 Authors 32 Xu, Yan 31 Shu, Chi-Wang 17 Wei, LeiLei 13 Xia, Yinhua 12 Dehghan Takht Fooladi, Mehdi 10 Baccouch, Mahboub 10 Liu, Hailiang 10 Zhang, Qiang 9 Guo, Ruihan 9 Xing, Yulong 8 Guo, Hui 8 Ryan, Jennifer K. 7 van der Vegt, Jaap J. W. 6 Huang, Yunqing 6 Sheu, Tony Wen-Hann 6 Tian, Lulu 6 Wang, Cheng 6 Wang, Haijin 6 Zhang, Rongpei 5 Abbaszadeh, Mostafa 5 Cheng, Yingda 5 Chou, Ching-Shan 5 He, Yinnian 5 Karasözen, Bülent 5 Li, Fengyan 5 Mei, Liquan 5 Qiu, Jingmei 5 Wang, Tingchun 5 Wang, Yushun 5 Wise, Steven M. 5 Yu, Xijun 5 Zhang, Xindong 4 Bokhove, Onno 4 Gao, Yali 4 Giesselmann, Jan 4 Gómez, Héctor J. 4 Gong, Yuezheng 4 Guo, Wei 4 Ji, Liangyue 4 Kim, Junseok 4 Li, Jichun 4 Meng, Xiong 4 Mohanty, Ranjan Kumar 4 Qiu, Jianxian 4 Ruprecht, Daniel 4 Song, Songhe 4 Speck, Robert 4 Tao, Qi 4 Uzunca, Murat 4 Zhang, Mengping 4 Zhang, Yongtao 4 Zhu, Huajun 3 Cai, Wei 3 Cai, Wenjun 3 Cao, Waixiang 3 Castillo, Paul E. 3 Chen, Yaming 3 Chiu, Pao-Hsiung 3 Christlieb, Andrew J. 3 Du, Qiang 3 Feng, Wenqiang 3 Fernandino, Maria 3 Filbet, Francis 3 Gómez, Sergio Alejandro 3 Guo, Boling 3 Han, Daozhi 3 Haq, Sirajul 3 He, Xiaoming 3 Hughes, Thomas J. R. 3 Karakashian, Ohannes A. 3 Kaur, Deepti 3 Kuerten, J. G. M. 3 Li, Hong 3 Li, Xianggui 3 Lin, Yanping 3 Liu, Lijie 3 Matsuo, Takayasu 3 Minion, Michael L. 3 Miranville, Alain M. 3 Mohammadi, Vahid 3 Pryer, Tristan 3 Raynaud, Xavier 3 Ren, Xiaodong 3 Shyy, Wei 3 Sun, Huixia 3 Sun, Yajuan 3 Tang, Bo 3 Wang, Qi 3 Wu, Boying 3 Xie, Shusen 3 Xu, Kun 3 Yi, Nianyu 3 Yu, Ching-Hao 3 Yu, Fan 3 Zhang, Luming 2 Aizinger, Vadym 2 Asadzadeh, Mohammad Sina 2 Bao, Weizhu 2 Bazilevs, Yuri 2 Bi, Hui ...and 666 more Authors all top 5 Cited in 87 Serials 72 Journal of Computational Physics 68 Journal of Scientific Computing 31 Journal of Computational and Applied Mathematics 30 Applied Numerical Mathematics 26 Applied Mathematics and Computation 20 Computers & Mathematics with Applications 18 Mathematics of Computation 16 Computer Methods in Applied Mechanics and Engineering 12 Engineering Analysis with Boundary Elements 11 SIAM Journal on Scientific Computing 8 Numerical Algorithms 7 Numerical Methods for Partial Differential Equations 7 International Journal of Computer Mathematics 6 SIAM Journal on Numerical Analysis 6 Applied Mathematical Modelling 6 Science China. Mathematics 5 BIT 5 Numerische Mathematik 4 Computers and Fluids 3 Applicable Analysis 3 Calcolo 3 Applied Mathematics Letters 3 Advances in Computational Mathematics 3 International Journal of Computational Methods 3 Advances in Difference Equations 3 Journal of Theoretical Biology 2 Mathematical Methods in the Applied Sciences 2 Mathematics and Computers in Simulation 2 Acta Mathematicae Applicatae Sinica. English Series 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 European Journal of Mechanics. A. Solids 2 Computational Geosciences 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Quantitative Finance 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics and Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Discrete and Continuous Dynamical Systems. Series S 2 Communications in Mathematics and Statistics 2 Results in Applied Mathematics 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Nonlinearity 1 Journal of Geometry and Physics 1 Information Sciences 1 International Journal for Numerical Methods in Engineering 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Statistics & Probability Letters 1 Physica D 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Chinese Science Bulletin 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Archives of Computational Methods in Engineering 1 Journal of Systems Science and Complexity 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Boundary Value Problems 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 1 European Journal of Pure and Applied Mathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation 1 Electronic Research Archive all top 5 Cited in 33 Fields 405 Numerical analysis (65-XX) 265 Partial differential equations (35-XX) 105 Fluid mechanics (76-XX) 32 Mechanics of deformable solids (74-XX) 25 Statistical mechanics, structure of matter (82-XX) 23 Dynamical systems and ergodic theory (37-XX) 8 Quantum theory (81-XX) 8 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 5 Real functions (26-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year