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## Qiu, Jianxian

Compute Distance To:
 Author ID: qiu.jianxian Published as: Qiu, J.; Qiu, JianXian; Qiu, Jianxian External Links: MGP · Wikidata
 Documents Indexed: 93 Publications since 2000
all top 5

#### Co-Authors

 5 single-authored 26 Zhu, Jun 15 Shu, Chi-Wang 7 Huang, Weizhang 7 Zhu, Hongqiang 6 Lu, Changna 5 Khoo, Boo Cheong 5 Li, Fengyan 5 Qiu, Jingmei 4 Cai, Xiaofeng 4 Liu, Tiegang 4 Zheng, Feng 3 Tao, Zhanjing 3 Wang, Ruyun 3 Yang, Xiaobo 3 Zhao, Zhuang 2 Cheng, Yue 2 Dai, Jiazun 2 Dumbser, Michael 2 Guo, Wei 2 Li, Gang 2 Liu, Hongxia 2 Zhong, Xinghui 1 Abgrall, Rémi 1 Arbogast, Todd 1 Chen, Yibing 1 Gao, Fuzheng 1 Goman, Mikhail 1 Huang, Buyue 1 Huang, Chieh-Sen 1 Li, Gang 1 Li, Xinkai 1 Lin, Jianfang 1 Liu, Jianming 1 Liu, Meilin 1 Liu, Ruxun 1 Luo, Dongmi 1 Ren, Yupeng 1 Xiong, Tao 1 Xu, Liwei 1 Xu, Zhenli 1 Yang, He 1 Zhang, Min 1 Zhang, Qiang 1 Zhang, Xiangxiong 1 Zhang, Yongtao 1 Zhao, Ning
all top 5

#### Serials

 23 Journal of Computational Physics 21 Journal of Scientific Computing 7 SIAM Journal on Scientific Computing 5 Communications in Computational Physics 4 Computers and Fluids 3 Journal of Computational Mathematics 3 Advances in Computational Mathematics 3 Numerical Mathematics: Theory, Methods and Applications 2 Computers & Mathematics with Applications 2 Applied Numerical Mathematics 2 Journal of Mathematical Study 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Mathematica Applicata 1 Science in China. Series A 1 Numerical Algorithms 1 Journal of Nanjing University of Aeronautics and Astronautics 1 Journal of University of Science and Technology of China 1 Advances in Applied Mathematics and Mechanics
all top 5

#### Fields

 82 Numerical analysis (65-XX) 63 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Astronomy and astrophysics (85-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

78 Publications have been cited 1,311 times in 641 Documents Cited by Year
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case. Zbl 1039.65068
Qiu, Jianxian; Shu, Chi-Wang
2004
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
2005
On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. Zbl 1018.65106
Qiu, Jianxian; Shu, Chi-Wang
2002
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case. Zbl 1134.65358
Qiu, Jianxian; Shu, Chi-Wang
2005
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
2008
A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters. Zbl 1092.65084
Qiu, Jianxian; Shu, Chi-Wang
2005
The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038
Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang
2005
Finite difference WENO schemes with Lax-Wendroff-type time discretizations. Zbl 1034.65073
Qiu, Jianxian; Shu, Chi-Wang
2003
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. Zbl 1349.65501
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
2013
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. Zbl 1083.65093
Qiu, Jianxian; Khoo, Boo Cheong; Shu, Chi-Wang
2006
A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws. Zbl 1349.65365
Zhu, Jun; Qiu, Jianxian
2016
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes. Zbl 1203.65156
Zhu, Jun; Qiu, Jianxian
2009
Positivity-preserving DG and central DG methods for ideal MHD equations. Zbl 1286.76162
Cheng, Yue; Li, Fengyan; Qiu, Jianxian; Xu, Liwei
2013
Hermite WENO schemes for Hamilton-Jacobi equations. Zbl 1070.65078
Qiu, Jianxian; Shu, Chi-Wang
2005
Hybrid weighted essentially non-oscillatory schemes with different indicators. Zbl 1197.65123
Li, Gang; Qiu, Jianxian
2010
A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes. Zbl 1157.65441
Zhu, Jun; Qiu, JianXian
2008
A new type of finite volume WENO schemes for hyperbolic conservation laws. Zbl 1381.65074
Zhu, Jun; Qiu, Jianxian
2017
Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. Zbl 1173.65339
Zhu, Hongqiang; Qiu, Jianxian
2009
Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2008
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Zbl 1300.65088
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2014
Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation. Zbl 1203.65181
Gao, Fuzheng; Qiu, Jianxian; Zhang, Qiang
2009
Finite difference Hermite WENO schemes for hyperbolic conservation laws. Zbl 1318.65053
Liu, Hongxia; Qiu, Jianxian
2015
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. Zbl 1260.65083
Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian
2012
Hermite WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 1142.65403
Qiu, Jianxian
2007
Numerical investigation of flows in Czochralski crystal growth by an axisymmetric lattice Boltzmann method. Zbl 1072.76624
Peng, Y.; Shu, C.; Chew, Y. T.; Qiu, J.
2003
Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes. Zbl 1354.65179
Zheng, Feng; Qiu, Jianxian
2016
Finite difference Hermite WENO schemes for conservation laws. II: An alternative approach. Zbl 1398.65215
Liu, Hongxia; Qiu, Jianxian
2016
High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. Zbl 1352.65271
Tao, Zhanjing; Li, Fengyan; Qiu, Jianxian
2015
Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods. Zbl 1280.65099
Yang, He; Li, Fengyan; Qiu, Jianxian
2013
Runge-Kutta discontinuous Galerkin method using WENO-type limiters: three-dimensional unstructured meshes. Zbl 1373.76112
Zhu, Jun; Qiu, Jianxian
2012
Hybrid well-balanced WENO schemes with different indicators for shallow water equations. Zbl 1248.76113
Li, Gang; Lu, Changna; Qiu, Jianxian
2012
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
2016
An $$h$$-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws. Zbl 1278.65159
Zhu, Hongqiang; Qiu, Jianxian
2013
A moving mesh WENO method for one-dimensional conservation laws. Zbl 1253.65133
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2012
RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations. Zbl 1366.76067
Zhu, Jun; Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2011
Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: one-dimensional case. Zbl 1127.76028
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2007
WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 1115.65094
Qiu, Jianxian
2007
High-order central Hermite WENO schemes: dimension-by-dimension moment-based reconstructions. Zbl 1349.65385
Tao, Zhanjing; Li, Fengyan; Qiu, Jianxian
2016
Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes. Zbl 1349.65364
Zhu, Jun; Qiu, Jianxian
2013
Local DG method using WENO type limiters for convection-diffusion problems. Zbl 1220.65140
Zhu, Jun; Qiu, Jianxian
2011
Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 1217.65193
Guo, Wei; Li, Fengyan; Qiu, Jianxian
2011
Numerical simulation of natural convection between two elliptical cylinders using DQ method. Zbl 1041.76559
Zhu, Y. D.; Shu, C.; Qiu, J.; Tani, J.
2004
New finite volume weighted essentially nonoscillatory schemes on triangular meshes. Zbl 06856495
Zhu, Jun; Qiu, Jianxian
2018
A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes. Zbl 1380.65200
Zhu, Jun; Qiu, Jianxian
2017
A new Lax-Wendroff discontinuous Galerkin method with superconvergence. Zbl 1333.65110
Guo, Wei; Qiu, Jing-Mei; Qiu, Jianxian
2015
WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces. Zbl 1269.65083
Zhu, Jun; Qiu, Jianxian
2013
Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes. Zbl 1358.76017
Lu, Changna; Qiu, Jianxian
2011
A numerical comparison of the Lax-Wendroff discontinuous Galerkin method based on different numerical fluxes. Zbl 1176.76080
Qiu, Jianxian
2007
A new fifth order finite difference WENO scheme for Hamilton-Jacobi equations. Zbl 1371.65089
Zhu, Jun; Qiu, Jianxian
2017
Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations. Zbl 1397.76084
Cai, Xiaofeng; Zhang, Xiangxiong; Qiu, Jianxian
2016
Hybrid WENO schemes with different indicators on curvilinear grids. Zbl 1297.65096
Li, Gang; Qiu, Jianxian
2014
Trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems. Zbl 1364.65173
Zhu, Jun; Qiu, Jianxian
2010
An $$h$$-adaptive RKDG method for the Vlasov-Poisson system. Zbl 1397.65197
Zhu, Hongqiang; Qiu, Jianxian; Qiu, Jing-Mei
2016
A new hybrid WENO scheme for hyperbolic conservation laws. Zbl 1411.76110
Zhao, Zhuang; Zhu, Jun; Chen, Yibing; Qiu, Jianxian
2019
An adaptive moving mesh finite element solution of the regularized long wave equation. Zbl 1383.65125
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2018
A new type of modified WENO schemes for solving hyperbolic conservation laws. Zbl 1366.65081
Zhu, Jun; Qiu, Jianxian
2017
A hybrid LDG-HWENO scheme for KdV-type equations. Zbl 1349.65464
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2016
Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock. Zbl 1363.76040
Liu, Jianming; Qiu, Jianxian; Goman, Mikhail; Li, Xinkai; Liu, Meilin
2016
A moving mesh finite difference method for equilibrium radiation diffusion equations. Zbl 1349.65352
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2015
Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equation. Zbl 1388.65084
Zhu, Jun; Qiu, Jianxian
2014
Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations. II: Unstructured meshes. Zbl 1367.35065
Zhu, Jun; Qiu, Jianxian
2014
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. Zbl 1415.65204
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
2017
An $$h$$-adaptive RKDG method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model. Zbl 1397.76083
Zhu, Hongqiang; Qiu, Jianxian; Qiu, Jing-Mei
2017
Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations. Zbl 1378.65162
Tao, Zhanjing; Qiu, Jianxian
2017
RKDG methods with WENO limiters for unsteady cavitating flow. Zbl 1365.65227
Zhu, Jun; Liu, Tiegang; Qiu, Jianxian; Khoo, Boo Cheong
2012
A numerical study for the performance of the WENO schemes based on different numerical fluxes for the shallow water equations. Zbl 1240.76031
Lu, Changna; Qiu, Jianxian; Wang, Ruyun
2010
Weighted essential non-oscillatory schemes for tidal bore on unstructured meshes. Zbl 1156.76038
Lu, Changna; Qiu, Jianxian; Wang, Ruyun
2009
Stability analysis of linear dynamical systems with saturation nonlinearities and a short time delay. Zbl 1220.93065
Xin, H.; Gan, D.; Qiu, J.
2008
Development and comparison of numerical fluxes for LWDG methods. Zbl 1199.65339
Qiu, Jianxian
2008
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. Zbl 1437.76033
Zhao, Zhuang; Qiu, Jianxian
2020
High order residual distribution for steady state problems for hyperbolic conservation laws. Zbl 07076947
Lin, Jianfang; Abgrall, Rémi; Qiu, Jianxian
2019
High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes. Zbl 1411.76111
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
2019
Hybrid WENO schemes with Lax-Wendroff type time discretization. Zbl 1399.65253
2017
Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws. Zbl 1399.65192
Cai, Xiaofeng; Zhu, Jun; Qiu, Jianxian
2017
A conservative semi-Lagrangian HWENO method for the Vlasov equation. Zbl 1415.65186
Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jing-Mei
2016
An $$h$$-adaptive Runge-Kutta discontinuous Galerkin method for Hamilton-Jacobi equations. Zbl 1299.65241
Zhu, Hongqiang; Qiu, Jianxian
2013
A comparison of the performance of limiters for Runge-Kutta discontinuous Galerkin methods. Zbl 1279.65118
Zhu, Hongqiang; Cheng, Yue; Qiu, Jianxian
2013
Implementation of multigrid approach in domain-free discretization method to speed up convergence. Zbl 1034.76048
Wu, Y. L.; Shu, Chang; Qiu, J.; Tani, J.
2003
A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws. Zbl 1437.76033
Zhao, Zhuang; Qiu, Jianxian
2020
A new hybrid WENO scheme for hyperbolic conservation laws. Zbl 1411.76110
Zhao, Zhuang; Zhu, Jun; Chen, Yibing; Qiu, Jianxian
2019
High order residual distribution for steady state problems for hyperbolic conservation laws. Zbl 07076947
Lin, Jianfang; Abgrall, Rémi; Qiu, Jianxian
2019
High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes. Zbl 1411.76111
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
2019
New finite volume weighted essentially nonoscillatory schemes on triangular meshes. Zbl 06856495
Zhu, Jun; Qiu, Jianxian
2018
An adaptive moving mesh finite element solution of the regularized long wave equation. Zbl 1383.65125
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2018
A new type of finite volume WENO schemes for hyperbolic conservation laws. Zbl 1381.65074
Zhu, Jun; Qiu, Jianxian
2017
A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes. Zbl 1380.65200
Zhu, Jun; Qiu, Jianxian
2017
A new fifth order finite difference WENO scheme for Hamilton-Jacobi equations. Zbl 1371.65089
Zhu, Jun; Qiu, Jianxian
2017
A new type of modified WENO schemes for solving hyperbolic conservation laws. Zbl 1366.65081
Zhu, Jun; Qiu, Jianxian
2017
Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations. Zbl 1415.65204
Zheng, Feng; Shu, Chi-Wang; Qiu, Jianxian
2017
An $$h$$-adaptive RKDG method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model. Zbl 1397.76083
Zhu, Hongqiang; Qiu, Jianxian; Qiu, Jing-Mei
2017
Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations. Zbl 1378.65162
Tao, Zhanjing; Qiu, Jianxian
2017
Hybrid WENO schemes with Lax-Wendroff type time discretization. Zbl 1399.65253
2017
Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws. Zbl 1399.65192
Cai, Xiaofeng; Zhu, Jun; Qiu, Jianxian
2017
A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws. Zbl 1349.65365
Zhu, Jun; Qiu, Jianxian
2016
Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes. Zbl 1354.65179
Zheng, Feng; Qiu, Jianxian
2016
Finite difference Hermite WENO schemes for conservation laws. II: An alternative approach. Zbl 1398.65215
Liu, Hongxia; Qiu, Jianxian
2016
Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter. Zbl 1373.76113
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
2016
High-order central Hermite WENO schemes: dimension-by-dimension moment-based reconstructions. Zbl 1349.65385
Tao, Zhanjing; Li, Fengyan; Qiu, Jianxian
2016
Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations. Zbl 1397.76084
Cai, Xiaofeng; Zhang, Xiangxiong; Qiu, Jianxian
2016
An $$h$$-adaptive RKDG method for the Vlasov-Poisson system. Zbl 1397.65197
Zhu, Hongqiang; Qiu, Jianxian; Qiu, Jing-Mei
2016
A hybrid LDG-HWENO scheme for KdV-type equations. Zbl 1349.65464
Luo, Dongmi; Huang, Weizhang; Qiu, Jianxian
2016
Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock. Zbl 1363.76040
Liu, Jianming; Qiu, Jianxian; Goman, Mikhail; Li, Xinkai; Liu, Meilin
2016
A conservative semi-Lagrangian HWENO method for the Vlasov equation. Zbl 1415.65186
Cai, Xiaofeng; Qiu, Jianxian; Qiu, Jing-Mei
2016
Finite difference Hermite WENO schemes for hyperbolic conservation laws. Zbl 1318.65053
Liu, Hongxia; Qiu, Jianxian
2015
High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws. Zbl 1352.65271
Tao, Zhanjing; Li, Fengyan; Qiu, Jianxian
2015
A new Lax-Wendroff discontinuous Galerkin method with superconvergence. Zbl 1333.65110
Guo, Wei; Qiu, Jing-Mei; Qiu, Jianxian
2015
A moving mesh finite difference method for equilibrium radiation diffusion equations. Zbl 1349.65352
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2015
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems. Zbl 1300.65088
Lu, Changna; Huang, Weizhang; Qiu, Jianxian
2014
Hybrid WENO schemes with different indicators on curvilinear grids. Zbl 1297.65096
Li, Gang; Qiu, Jianxian
2014
Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equation. Zbl 1388.65084
Zhu, Jun; Qiu, Jianxian
2014
Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations. II: Unstructured meshes. Zbl 1367.35065
Zhu, Jun; Qiu, Jianxian
2014
Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured meshes. Zbl 1349.65501
Zhu, Jun; Zhong, Xinghui; Shu, Chi-Wang; Qiu, Jianxian
2013
Positivity-preserving DG and central DG methods for ideal MHD equations. Zbl 1286.76162
Cheng, Yue; Li, Fengyan; Qiu, Jianxian; Xu, Liwei
2013
Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods. Zbl 1280.65099
Yang, He; Li, Fengyan; Qiu, Jianxian
2013
An $$h$$-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws. Zbl 1278.65159
Zhu, Hongqiang; Qiu, Jianxian
2013
Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes. Zbl 1349.65364
Zhu, Jun; Qiu, Jianxian
2013
WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces. Zbl 1269.65083
Zhu, Jun; Qiu, Jianxian
2013
An $$h$$-adaptive Runge-Kutta discontinuous Galerkin method for Hamilton-Jacobi equations. Zbl 1299.65241
Zhu, Hongqiang; Qiu, Jianxian
2013
A comparison of the performance of limiters for Runge-Kutta discontinuous Galerkin methods. Zbl 1279.65118
Zhu, Hongqiang; Cheng, Yue; Qiu, Jianxian
2013
An Eulerian-Lagrangian WENO finite volume scheme for advection problems. Zbl 1260.65083
Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian
2012
Runge-Kutta discontinuous Galerkin method using WENO-type limiters: three-dimensional unstructured meshes. Zbl 1373.76112
Zhu, Jun; Qiu, Jianxian
2012
Hybrid well-balanced WENO schemes with different indicators for shallow water equations. Zbl 1248.76113
Li, Gang; Lu, Changna; Qiu, Jianxian
2012
A moving mesh WENO method for one-dimensional conservation laws. Zbl 1253.65133
Yang, Xiaobo; Huang, Weizhang; Qiu, Jianxian
2012
RKDG methods with WENO limiters for unsteady cavitating flow. Zbl 1365.65227
Zhu, Jun; Liu, Tiegang; Qiu, Jianxian; Khoo, Boo Cheong
2012
RKDG methods and WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations. Zbl 1366.76067
Zhu, Jun; Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2011
Local DG method using WENO type limiters for convection-diffusion problems. Zbl 1220.65140
Zhu, Jun; Qiu, Jianxian
2011
Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 1217.65193
Guo, Wei; Li, Fengyan; Qiu, Jianxian
2011
Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes. Zbl 1358.76017
Lu, Changna; Qiu, Jianxian
2011
Hybrid weighted essentially non-oscillatory schemes with different indicators. Zbl 1197.65123
Li, Gang; Qiu, Jianxian
2010
Trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems. Zbl 1364.65173
Zhu, Jun; Qiu, Jianxian
2010
A numerical study for the performance of the WENO schemes based on different numerical fluxes for the shallow water equations. Zbl 1240.76031
Lu, Changna; Qiu, Jianxian; Wang, Ruyun
2010
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method, III: Unstructured meshes. Zbl 1203.65156
Zhu, Jun; Qiu, Jianxian
2009
Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case. Zbl 1173.65339
Zhu, Hongqiang; Qiu, Jianxian
2009
Local discontinuous Galerkin finite element method and error estimates for one class of Sobolev equation. Zbl 1203.65181
Gao, Fuzheng; Qiu, Jianxian; Zhang, Qiang
2009
Weighted essential non-oscillatory schemes for tidal bore on unstructured meshes. Zbl 1156.76038
Lu, Changna; Qiu, Jianxian; Wang, Ruyun
2009
Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes. Zbl 1157.65453
Zhu, Jun; Qiu, Jianxian; Shu, Chi-Wang; Dumbser, Michael
2008
A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes. Zbl 1157.65441
Zhu, Jun; Qiu, JianXian
2008
Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method. Zbl 1195.76262
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2008
Stability analysis of linear dynamical systems with saturation nonlinearities and a short time delay. Zbl 1220.93065
Xin, H.; Gan, D.; Qiu, J.
2008
Development and comparison of numerical fluxes for LWDG methods. Zbl 1199.65339
Qiu, Jianxian
2008
Hermite WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 1142.65403
Qiu, Jianxian
2007
Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: one-dimensional case. Zbl 1127.76028
Qiu, Jianxian; Liu, Tiegang; Khoo, Boo Cheong
2007
WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. Zbl 1115.65094
Qiu, Jianxian
2007
A numerical comparison of the Lax-Wendroff discontinuous Galerkin method based on different numerical fluxes. Zbl 1176.76080
Qiu, Jianxian
2007
A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes. Zbl 1083.65093
Qiu, Jianxian; Khoo, Boo Cheong; Shu, Chi-Wang
2006
Runge-Kutta discontinuous Galerkin method using WENO limiters. Zbl 1077.65109
Qiu, Jianxian; Shu, Chi-Wang
2005
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method. II: Two dimensional case. Zbl 1134.65358
Qiu, Jianxian; Shu, Chi-Wang
2005
A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters. Zbl 1092.65084
Qiu, Jianxian; Shu, Chi-Wang
2005
The discontinuous Galerkin method with Lax–Wendroff type time discretizations. Zbl 1093.76038
Qiu, Jianxian; Dumbser, Michael; Shu, Chi-Wang
2005
Hermite WENO schemes for Hamilton-Jacobi equations. Zbl 1070.65078
Qiu, Jianxian; Shu, Chi-Wang
2005
Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case. Zbl 1039.65068
Qiu, Jianxian; Shu, Chi-Wang
2004
Numerical simulation of natural convection between two elliptical cylinders using DQ method. Zbl 1041.76559
Zhu, Y. D.; Shu, C.; Qiu, J.; Tani, J.
2004
Finite difference WENO schemes with Lax-Wendroff-type time discretizations. Zbl 1034.65073
Qiu, Jianxian; Shu, Chi-Wang
2003
Numerical investigation of flows in Czochralski crystal growth by an axisymmetric lattice Boltzmann method. Zbl 1072.76624
Peng, Y.; Shu, C.; Chew, Y. T.; Qiu, J.
2003
Implementation of multigrid approach in domain-free discretization method to speed up convergence. Zbl 1034.76048
Wu, Y. L.; Shu, Chang; Qiu, J.; Tani, J.
2003
On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes. Zbl 1018.65106
Qiu, Jianxian; Shu, Chi-Wang
2002
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#### Cited by 1,000 Authors

 56 Qiu, Jianxian 37 Shu, Chi-Wang 29 Dumbser, Michael 22 Zhu, Jun 13 Capdeville, Guy 13 Li, Fengyan 13 Liu, Tiegang 12 Munz, Claus-Dieter 10 Christlieb, Andrew J. 10 Gao, Zhen 10 Seal, David C. 10 Xu, Kun 9 Balsara, Dinshaw S. 9 Don, Wai Sun 9 Qiu, Jingmei 9 Yan, Chao 8 Guo, Wei 8 Xiao, Feng 8 Zahran, Yousef Hashem 7 Arbogast, Todd 7 Huang, Chieh-Sen 7 Huang, Weizhang 7 Li, Maojun 7 Liu, Yingjie 7 Lu, Changna 7 Tang, Huazhong 6 Boscheri, Walter 6 Ha, Youngsoo 6 Jiang, Zhenhua 6 Khoo, Boo Cheong 6 Kim, Changho 6 Loubère, Raphaël 6 Tsoutsanis, Panagiotis 6 Wu, Kailiang 6 Xu, Liwei 6 Yang, Hyoseon 6 Yu, Jian 6 Zhu, Hongqiang 5 Cheng, Jian 5 Cheng, Yingda 5 Deng, Xi 5 Ekaterinaris, John A. 5 Gassner, Gregor J. 5 Kumar, Rakesh 5 Li, Gang 5 Luo, Hong 5 Ren, Yuxin 5 Russo, Giovanni 5 Semplice, Matteo 5 Tang, Qi 5 Toro, Eleuterio F. 5 Xing, Yulong 5 Xu, Zhiliang 5 Yoon, Jungho 5 Zhang, Mengping 4 Cai, Xiaofeng 4 Caleffi, Valerio 4 Chandrashekar, Praveen 4 Guo, Zhaoli 4 Hesthaven, Jan S. 4 Hu, Guanghui 4 Huang, Cong 4 Ihme, Matthias 4 Kesserwani, Georges 4 Kim, Chongam 4 Kubatko, Ethan J. 4 Li, Jichun 4 Liu, Yuan 4 Lv, Yu 4 Macías-Díaz, Jorge Eduardo 4 Ni, Guoxi 4 Pan, Liang 4 Puppo, Gabriella 4 Rossmanith, James A. 4 Shi, Baochang 4 Sjogreen, Bjorn 4 Visconti, Giuseppe 4 Xie, Bin 4 Yee, Helen C. 4 Yuan, Guangwei 4 Zanotti, Olindo 4 Zhang, Hanxin 4 Zheng, Feng 3 Abedian, Rooholah 3 Adams, Nikolaus A. 3 Antoniadis, Antonis F. 3 Boulbrachene, Messaoud 3 Carpenter, Mark H. 3 Chew, Jia Wei 3 Cravero, Isabella 3 Črnjarić-Žic, Nelida 3 Dawson, Clint N. 3 Dedner, Andreas S. 3 Dehghan Takht Fooladi, Mehdi 3 Deng, Xiaogang 3 Drikakis, Dimitris 3 Du, Huijing 3 Du, Jie 3 Fambri, Francesco 3 Hindenlang, Florian J. ...and 900 more Authors
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#### Cited in 79 Serials

 201 Journal of Computational Physics 106 Journal of Scientific Computing 76 Computers and Fluids 28 Computers & Mathematics with Applications 23 SIAM Journal on Scientific Computing 18 Applied Numerical Mathematics 17 Applied Mathematics and Computation 17 Journal of Computational and Applied Mathematics 16 Computer Methods in Applied Mechanics and Engineering 9 Applied Mathematical Modelling 8 SIAM Journal on Numerical Analysis 7 International Journal for Numerical Methods in Fluids 5 Advances in Computational Mathematics 5 Acta Mechanica Sinica 4 International Journal of Heat and Mass Transfer 4 Mathematics of Computation 4 Numerische Mathematik 4 Numerical Methods for Partial Differential Equations 3 Journal of Mathematical Analysis and Applications 3 International Journal for Numerical Methods in Engineering 3 Computational Mechanics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Physics Communications 2 Mathematical Methods in the Applied Sciences 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Mathematical Problems in Engineering 2 International Journal of Computational Fluid Dynamics 2 Abstract and Applied Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Applied Mathematics and Computer Science 2 Matematicheskoe Modelirovanie 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Journal of Engineering Mathematics 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Shock Waves 1 BIT 1 Journal of Approximation Theory 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Neural Computation 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 SIAM Review 1 Complexity 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 International Journal of Numerical Modelling 1 Analysis (München) 1 International Journal of Modern Physics C 1 Archives of Computational Methods in Engineering 1 Foundations of Computational Mathematics 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Central European Journal of Mathematics 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Algorithms 1 Advances in Mathematical Physics 1 GEM - International Journal on Geomathematics 1 Symmetry 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 East Asian Journal on Applied Mathematics 1 Mathematics 1 Open Mathematics 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics
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#### Cited in 29 Fields

 524 Numerical analysis (65-XX) 362 Fluid mechanics (76-XX) 284 Partial differential equations (35-XX) 20 Mechanics of deformable solids (74-XX) 18 Statistical mechanics, structure of matter (82-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 8 Optics, electromagnetic theory (78-XX) 7 Geophysics (86-XX) 6 Computer science (68-XX) 5 Astronomy and astrophysics (85-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Relativity and gravitational theory (83-XX) 3 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX)