# zbMATH — the first resource for mathematics

## Xu, Yan

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 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
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#### 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)

#### 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 1364.65205
Xu, Yan; Shu, Chi-Wang
2010
Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130
Xu, Yan; Shu, Chi-Wang
2005
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063
Xu, Yan; Shu, Chi-Wang
2008
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations. Zbl 1173.65338
Xu, Yan; Shu, Chi-Wang
2007
Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035
Xu, Yan; Shu, Chi-Wang
2006
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121
Xu, Yan; Shu, Chi-Wang
2012
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111
Xu, Yan; Shu, Chi-Wang
2005
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
Local discontinuous Galerkin methods for three classes of nonlinear wave equations. Zbl 1050.65093
Xu, Yan; Shu, Chiwang
2004
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2009
Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions. Zbl 1270.65058
Ji, Liangyue; Xu, Yan; Ryan, Jennifer K.
2012
Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations. Zbl 1296.65134
Guo, Ruihan; Xu, Yan
2014
An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1349.76211
Guo, Ruihan; Xia, Yinhua; Xu, Yan
2014
Local discontinuous Galerkin methods for the generalized Zakharov system. Zbl 1180.76035
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2010
Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs. Zbl 1203.65190
Xu, Yan; Shu, Chi-Wang
2009
Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation. Zbl 1330.65149
Guo, Ruihan; Xu, Yan
2016
Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator. Zbl 1334.65154
Guo, Li; Xu, Yan
2015
Space-time discontinuous Galerkin method for nonlinear water waves. Zbl 1117.76038
van der Vegt, J. J. W.; Xu, Yan
2007
Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation. Zbl 1319.65096
Guo, Ruihan; Xu, Yan; Xu, Zhengfu
2015
Local discontinuous Galerkin methods for the Degasperis-Procesi equation. Zbl 1364.65204
Xu, Yan; Shu, Chi-Wang
2011
Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153
Ji, Liangyue; Xu, Yan
2011
A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76275
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W.
2015
Negative-order norm estimates for nonlinear hyperbolic conservation laws. Zbl 1266.65155
Ji, Liangyue; Xu, Yan; Ryan, Jennifer K.
2013
Discontinuous Galerkin methods for isogeometric analysis for elliptic equations on surfaces. Zbl 1310.65149
Zhang, Futao; Xu, Yan; Chen, Falai
2014
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. Zbl 1415.65153
Guo, Ruihan; Xia, Yinhua; Xu, Yan
2017
Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106
Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang
2017
Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. Zbl 1352.65301
Guo, Ruihan; Filbet, Francis; Xu, Yan
2016
High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation. Zbl 1363.65162
Guo, Ruihan; Ji, Liangyue; Xu, Yan
2016
A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids. Zbl 1297.76106
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W.
2014
The fundamental solution of Mindlin plates with damping in the Laplace domain and its applications. Zbl 1244.74236
Wen, P. H.; Adetoro, M.; Xu, Y.
2008
Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limits. Zbl 1189.65230
Xu, Yan; Shu, Chi-Wang
2008
Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations. Zbl 1407.65188
Fu, Pei; Li, Fengyan; Xu, Yan
2018
An $$h$$-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations. Zbl 1349.76276
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W.
2016
Dissipative numerical methods for the Hunter-Saxton equation. Zbl 1240.65301
Xu, Yan; Shu, Chi-Wang
2010
An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system. Zbl 1349.65452
Guo, Ruihan; Xu, Yan
2015
A conservative local discontinuous Galerkin method for the Schrödinger-KdV system. Zbl 1388.65110
Xia, Yinhua; Xu, Yan
2014
Local discontinuous Galerkin methods for the $$\mu$$-Camassa-Holm and $$\mu$$-Degasperis-Procesi equations. Zbl 1450.65131
Zhang, Chao; Xu, Yan; Xia, Yinhua
2019
Discontinuous Galerkin methods with optimal $$L^2$$ accuracy for one dimensional linear PDEs with high order spatial derivatives. Zbl 07063592
Fu, Pei; Cheng, Yingda; Li, Fengyan; Xu, Yan
2019
The logarithmic vector multiplicative error model: an application to high frequency NYSE stock data. Zbl 1402.91927
Taylor, N.; Xu, Y.
2017
Lysine acetylation sites prediction using an ensemble of support vector machine classifiers. Zbl 1406.92223
Xu, Yan; Wang, Xiao-Bo; Ding, Jun; Wu, Ling-Yun; Deng, Nai-Yang
2010
Discontinuous Hamiltonian finite element method for linear hyperbolic systems. Zbl 1203.37126
Xu, Yan; Van Der Vegt, Jaap J. W.; Bokhove, Onno
2008
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118
Tao, Qi; Xu, Yan; Shu, Chi-Wang
2020
Periodic averaging principle for neutral stochastic delay differential equations with impulses. Zbl 1441.60040
Wang, Peiguang; Xu, Yan
2020
Superconvergence of arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1428.65047
Tao, Qi; Xu, Yan
2019
Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations. Zbl 07099323
van der Vegt, J. J. W.; Xia, Yinhua; Xu, Yan
2019
Extremal properties of the multivariate extended skew-normal distribution. Part B. Zbl 1412.62052
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Extremal properties of the univariate extended skew-normal distribution. Part A. Zbl 1412.62051
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions. Zbl 1397.74061
Le Quang, H.; Xu, Y.; He, Q.-C.
2018
Weighted essentially non-oscillatory schemes for Degasperis-Procesi equation with discontinuous solutions. Zbl 1381.65069
Xia, Yinhua; Xu, Yan
2017
Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals. Zbl 1362.78008
Lu, Zhongjie; Cesmelioglu, A.; Van der Vegt, J. J. W.; Xu, Yan
2017
Closed-form FIR filter design based on convolution window spectrum interpolation. Zbl 1412.94045
Huang, Xiangdong; Jing, Senxue; Wang, Zhaohua; Xu, Yan; Zheng, Youquan
2016
$$p$$th moment asymptotic stability for neutral stochastic functional differential equations with Lévy processes. Zbl 1410.34224
Xu, Yan; He, Zhimin; Wang, Peiguang
2015
Model and algorithm for container allocation problem with random freight demands in synchromodal transportation. Zbl 1394.90145
Xu, Yan; Cao, Chengxuan; Jia, Bin; Zang, Guangzhi
2015
Interior penalty discontinuous Galerkin based isogeometric analysis for Allen-Cahn equations on surfaces. Zbl 1388.65113
Zhang, Futao; Xu, Yan; Chen, Falai; Guo, Ruihan
2015
Prediction of posttranslational modification sites from amino acid sequences with kernel methods. Zbl 1412.92250
Xu, Yan; Wang, Xiaobo; Wang, Yongcui; Tian, Yingjie; Shao, Xiaojian; Wu, Ling-Yun; Deng, Naiyang
2014
Local discontinuous Galerkin methods for the 2D simulation of quantum transport phenomena on quantum directional coupler. Zbl 1388.65148
Guo, Li; Xu, Yan
2014
A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325
Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui
2014
Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material. Zbl 1309.74071
Jiang, Jinfeng; Xu, Yan
2013
Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes. Zbl 1251.65130
Ji, Liangyue; Xu, Yan
2012
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives. Zbl 1446.65118
Tao, Qi; Xu, Yan; Shu, Chi-Wang
2020
Periodic averaging principle for neutral stochastic delay differential equations with impulses. Zbl 1441.60040
Wang, Peiguang; Xu, Yan
2020
Local discontinuous Galerkin methods for the $$\mu$$-Camassa-Holm and $$\mu$$-Degasperis-Procesi equations. Zbl 1450.65131
Zhang, Chao; Xu, Yan; Xia, Yinhua
2019
Discontinuous Galerkin methods with optimal $$L^2$$ accuracy for one dimensional linear PDEs with high order spatial derivatives. Zbl 07063592
Fu, Pei; Cheng, Yingda; Li, Fengyan; Xu, Yan
2019
Superconvergence of arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for linear hyperbolic equations. Zbl 1428.65047
Tao, Qi; Xu, Yan
2019
Positivity preserving limiters for time-implicit higher order accurate discontinuous Galerkin discretizations. Zbl 07099323
van der Vegt, J. J. W.; Xia, Yinhua; Xu, Yan
2019
Extremal properties of the multivariate extended skew-normal distribution. Part B. Zbl 1412.62052
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Extremal properties of the univariate extended skew-normal distribution. Part A. Zbl 1412.62051
Beranger, B.; Padoan, S. A.; Xu, Y.; Sisson, S. A.
2019
Globally divergence-free discontinuous Galerkin methods for ideal magnetohydrodynamic equations. Zbl 1407.65188
Fu, Pei; Li, Fengyan; Xu, Yan
2018
Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions. Zbl 1397.74061
Le Quang, H.; Xu, Y.; He, Q.-C.
2018
Semi-implicit spectral deferred correction methods for highly nonlinear partial differential equations. Zbl 1415.65153
Guo, Ruihan; Xia, Yinhua; Xu, Yan
2017
Superconvergence of local discontinuous Galerkin method for one-dimensional linear Schrödinger equations. Zbl 1383.65106
Zhou, Lingling; Xu, Yan; Zhang, Zhimin; Cao, Waixiang
2017
The logarithmic vector multiplicative error model: an application to high frequency NYSE stock data. Zbl 1402.91927
Taylor, N.; Xu, Y.
2017
Weighted essentially non-oscillatory schemes for Degasperis-Procesi equation with discontinuous solutions. Zbl 1381.65069
Xia, Yinhua; Xu, Yan
2017
Discontinuous Galerkin approximations for computing electromagnetic Bloch modes in photonic crystals. Zbl 1362.78008
Lu, Zhongjie; Cesmelioglu, A.; Van der Vegt, J. J. W.; Xu, Yan
2017
Local discontinuous Galerkin method and high order semi-implicit scheme for the phase field crystal equation. Zbl 1330.65149
Guo, Ruihan; Xu, Yan
2016
Efficient high order semi-implicit time discretization and local discontinuous Galerkin methods for highly nonlinear PDEs. Zbl 1352.65301
Guo, Ruihan; Filbet, Francis; Xu, Yan
2016
High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation. Zbl 1363.65162
Guo, Ruihan; Ji, Liangyue; Xu, Yan
2016
An $$h$$-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations. Zbl 1349.76276
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W.
2016
Closed-form FIR filter design based on convolution window spectrum interpolation. Zbl 1412.94045
Huang, Xiangdong; Jing, Senxue; Wang, Zhaohua; Xu, Yan; Zheng, Youquan
2016
Energy conserving local discontinuous Galerkin methods for the nonlinear Schrödinger equation with wave operator. Zbl 1334.65154
Guo, Li; Xu, Yan
2015
Local discontinuous Galerkin methods for the functionalized Cahn-Hilliard equation. Zbl 1319.65096
Guo, Ruihan; Xu, Yan; Xu, Zhengfu
2015
A local discontinuous Galerkin method for the (non)-isothermal Navier-Stokes-Korteweg equations. Zbl 1349.76275
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W.
2015
An efficient, unconditionally energy stable local discontinuous Galerkin scheme for the Cahn-Hilliard-Brinkman system. Zbl 1349.65452
Guo, Ruihan; Xu, Yan
2015
$$p$$th moment asymptotic stability for neutral stochastic functional differential equations with Lévy processes. Zbl 1410.34224
Xu, Yan; He, Zhimin; Wang, Peiguang
2015
Model and algorithm for container allocation problem with random freight demands in synchromodal transportation. Zbl 1394.90145
Xu, Yan; Cao, Chengxuan; Jia, Bin; Zang, Guangzhi
2015
Interior penalty discontinuous Galerkin based isogeometric analysis for Allen-Cahn equations on surfaces. Zbl 1388.65113
Zhang, Futao; Xu, Yan; Chen, Falai; Guo, Ruihan
2015
Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations. Zbl 1296.65134
Guo, Ruihan; Xu, Yan
2014
An efficient fully-discrete local discontinuous Galerkin method for the Cahn-Hilliard-Hele-Shaw system. Zbl 1349.76211
Guo, Ruihan; Xia, Yinhua; Xu, Yan
2014
Discontinuous Galerkin methods for isogeometric analysis for elliptic equations on surfaces. Zbl 1310.65149
Zhang, Futao; Xu, Yan; Chen, Falai
2014
A local discontinuous Galerkin method for the propagation of phase transition in solids and fluids. Zbl 1297.76106
Tian, Lulu; Xu, Yan; Kuerten, J. G. M.; van der Vegt, J. J. W.
2014
A conservative local discontinuous Galerkin method for the Schrödinger-KdV system. Zbl 1388.65110
Xia, Yinhua; Xu, Yan
2014
Prediction of posttranslational modification sites from amino acid sequences with kernel methods. Zbl 1412.92250
Xu, Yan; Wang, Xiaobo; Wang, Yongcui; Tian, Yingjie; Shao, Xiaojian; Wu, Ling-Yun; Deng, Naiyang
2014
Local discontinuous Galerkin methods for the 2D simulation of quantum transport phenomena on quantum directional coupler. Zbl 1388.65148
Guo, Li; Xu, Yan
2014
A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325
Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui
2014
Negative-order norm estimates for nonlinear hyperbolic conservation laws. Zbl 1266.65155
Ji, Liangyue; Xu, Yan; Ryan, Jennifer K.
2013
Local discontinuous Galerkin method for the impact-induced wave in a slender cylinder composed of a non-convex elastic material. Zbl 1309.74071
Jiang, Jinfeng; Xu, Yan
2013
Optimal error estimates of the semidiscrete local discontinuous Galerkin methods for high order wave equations. Zbl 1247.65121
Xu, Yan; Shu, Chi-Wang
2012
Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions. Zbl 1270.65058
Ji, Liangyue; Xu, Yan; Ryan, Jennifer K.
2012
Optimal error estimates of the local discontinuous Galerkin method for surface diffusion of graphs on Cartesian meshes. Zbl 1251.65130
Ji, Liangyue; Xu, Yan
2012
Local discontinuous Galerkin methods for the Degasperis-Procesi equation. Zbl 1364.65204
Xu, Yan; Shu, Chi-Wang
2011
Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153
Ji, Liangyue; Xu, Yan
2011
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations. Zbl 1364.65205
Xu, Yan; Shu, Chi-Wang
2010
Local discontinuous Galerkin methods for the generalized Zakharov system. Zbl 1180.76035
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2010
Dissipative numerical methods for the Hunter-Saxton equation. Zbl 1240.65301
Xu, Yan; Shu, Chi-Wang
2010
Lysine acetylation sites prediction using an ensemble of support vector machine classifiers. Zbl 1406.92223
Xu, Yan; Wang, Xiao-Bo; Ding, Jun; Wu, Ling-Yun; Deng, Nai-Yang
2010
Application of the local discontinuous Galerkin method for the Allen-Cahn/Cahn-Hilliard system. Zbl 1364.65203
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2009
Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs. Zbl 1203.65190
Xu, Yan; Shu, Chi-Wang
2009
A local discontinuous Galerkin method for the Camassa-Holm equation. Zbl 1173.65063
Xu, Yan; Shu, Chi-Wang
2008
The fundamental solution of Mindlin plates with damping in the Laplace domain and its applications. Zbl 1244.74236
Wen, P. H.; Adetoro, M.; Xu, Y.
2008
Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limits. Zbl 1189.65230
Xu, Yan; Shu, Chi-Wang
2008
Discontinuous Hamiltonian finite element method for linear hyperbolic systems. Zbl 1203.37126
Xu, Yan; Van Der Vegt, Jaap J. W.; Bokhove, Onno
2008
Local discontinuous Galerkin methods for the Cahn-Hilliard type equations. Zbl 1131.65088
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations. Zbl 1173.65338
Xu, Yan; Shu, Chi-Wang
2007
Efficient time discretization for local discontinuous Galerkin methods. Zbl 1141.65076
Xia, Yinhua; Xu, Yan; Shu, Chi-Wang
2007
Space-time discontinuous Galerkin method for nonlinear water waves. Zbl 1117.76038
van der Vegt, J. J. W.; Xu, Yan
2007
Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Zbl 1124.76035
Xu, Yan; Shu, Chi-Wang
2006
Local discontinuous Galerkin methods for nonlinear Schrödinger equations. Zbl 1072.65130
Xu, Yan; Shu, Chi-Wang
2005
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations. Zbl 1078.35111
Xu, Yan; Shu, Chi-Wang
2005
Local discontinuous Galerkin methods for three classes of nonlinear wave equations. Zbl 1050.65093
Xu, Yan; Shu, Chiwang
2004
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
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#### 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
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#### 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)