个人主页
链接地址
学习经历:
1998年04月至2001年03月南京航空航天大学流体力学专业学习，获博士学位,导师：戴嘉尊教授。
1985年08月至1988年03月南京航空航天大学计算数学专业学习，获硕士学位, 导师：戴嘉尊教授。
1978年09月至1982年07月中国地质大学（武汉）数学班学习, 获学士学位。
工作经历:
2010年10月至今 亚搏ag捕鱼app 亚搏ag捕鱼app闽江学者、特聘教授
2005年01月2012年06月 南京大学 数学系教授。
2006年06月至2006年08月 中科院计算数学与科学工程计算研究所高级访问学者。
2003年06月至2005年12月 新加坡国立大学 计算科学系及机械工程系研究员（ Research Fellow)
2003年02月至2003年06月 美国布朗大学 应用数学系访问副教授。
2001年04月至2003年04月 中国科学技术大学 数学系从事博士后研究工作, 合作导师：舒其望教授
1988年04月至1998年04月 集美大学数学教研室任教。1991年11月晋升为讲师, 1997年01月晋升为副教授。
1982年08月至1985年08月 湖北省第五地质大队子弟中学任教。
主要研究方向：
双曲守恒律及对流占优问题的数值解法研究，主要方法:
本质无振荡(ENO）及加权本质无振荡(WENO)的差分方法和有限体积方法
间断Galerkin有限元(DG)
Hamilton-Jacobi 类型方程的数值解法
计算流体力学
WENO及DG方法在多相流问题数值模拟的应用
学术兼职：
2006年09月至今 Journal of Computational Physics (计算物理) 编委。
2008年11月至今 Advances in Applied Mathematics and Mechanics 编委。
2010年01月至今 Numerical Mathematics: Theory, Methods and Applications 编委。
2014年01月至今 Journal of Mathematical Study,编委。
2014年07月至2020年12月 计算数学,编委。
2018年01月至今, Communication on Applied Mathematics and Computation,编委。
2021年01月至今 数值计算与计算机应用,编委。
2006年11月至2014年12月 江苏省工业与应用数学学会常务理事 (2010年10月至2014年12月，副理事长)。
2008年08月至2012年08月 中国工业与应用数学学会理事。
2010年10月至2014年11月 江苏省数学学会理事。
2010年12月至2019年07月 中国计算数学学会常务理事。
2012年11月至今 福建省数学学会常务理事。
主讲课程：
研究生：高等数值分析, 星期三下午 2:30-5:10, 海韵园实验楼105, (2017年秋季）。
研究生：专题报告，星期三晚上 7:00-8:40，海韵园数学物理楼661室, (2017年秋季）。
研究生：高阶数值方法，星期四上午 8:00-9:40，海韵园实验楼105, (2017年秋季）。
本科生：数值逼近, 星期二上午 10:10-11:50, 星期五上午 8:00-9:40，海韵园教学楼307室，星期二（双周）下午 4:40-6:20 校本部嘉庚五606室, (2016年秋季)。
研究生：有限体积法， 星期四上午 9:00-12:00， 海韵园行政楼B614, (2013年春季）。
本科生：计算方法, 星期三下午 2:30-4:10, 星期五上午 8:00-9:40，海韵园教学楼 (2013年春季)。
科研项目：
多介质流的守恒高精度数值方法研究, 国家自然科学基金面上项目(12071392)，2021.01-2024.12，52万，负责人。
高能量密度物理条件下流体力学计算方法研究, 国家自然科学基金联合基金重点支持项目(U1630247)，2017.01-2020.12，260万，负责人。
高精度HWENO数值方法及其应用研究, 国家自然科学基金重大研究计划--培育项目(91530107), 2016.01-2016.12, 25万，负责人。
双曲守恒律及相关问题高精度数值方法研究, 国家自然科学基金面上项目(11571290)，2016.01-2019.12，45万，负责人。
各向异性扩散问题的自适应高精度数值方法, 国家自然科学基金--海外及港澳学者合作研究基金(11328104), 2014.01-2015.12, 20万，黄维章, 邱建贤。
多介质流体的自适应高分辨算法研究,国家自然科学基金重大研究计划--培育项目(91230110),2013.01-2015.12, 70万，负责人。
高分辨数值方法及其在三维复杂流体中的应用, 国家自然科学基金重点项目(10931004), 2010.01-2013.12，150万，负责人。
声场流场耦合高精度高效算法研究(中俄科技合作项目之子课题)，科技部国际合作项目（2010DFR00700），2011.01-2014.01，46.5万（项目总额680万元），子课题负责人。
间断Galerkin 有限元方法研究的误差分析研究，国家自然科学基金面上项目(10871093), 2009.01-2011.12，参与。
Adaptive Higher-Order Variational Methods for Aerodynamic Applications in Industry, 欧盟第六框架特别研究项目，2006.9-2009.12，8.35万欧元（项目总额520万欧元），中方负责人。
对流占优问题的高精度数值方法研究与应用, 国家自然科学基金面上项目, 2007.01-2009.12， 23万，负责人。
双曲守恒律初值问题的间断Galerkin有限元方法研究, 留学回国人员科研启动基金，4万，负责人。
对流占优问题的数值方法研究， 南京大学人才引进启动基金，5万，负责人。
三维风暴潮的高精度数值方法研究， 水文水资源与水利工程科学国家重点实验室基金，2007.01-2008.12，负责人。
非均匀介质中溶质运移模型的多尺度分析与计算，江苏省创新人才（学术）基金，2006.06-2009.05, 参与。
溃坝、涌浪等畸变自由面问题的数值模拟方法研究， 国家自然科学基金 2004.01-2006.12，参与。
非线性偏微分方程的数值方法的研究和应用，国家自然科学基金（10028103），2001.01-2004.12，参与。
涌波特性及其与建筑物作用的数值研究， 国家自然科学基金（59979004），2000.01-2002.12，参与。
油气成藏动力学数学模型研究 中国海洋石油总公司九五重点攻关项目9618子课题 1997—1999，参与。
跨音速欧拉方程非结构网格并行计算研究，航空基础科学基金 1996-2000，参与。
非结构网格并行计算的实现，国家自然科学基金之国家高性能计算基金2000，参与。
高精度重映方法的研究，北京应用物理与计算数学研究所课题基金，2000-2001，参与。
Publications in Refereed Journals
Z. Zhao, Y.-T. Zhang, Y. Chen and J. Qiu: A Hermite WENO method with modified ghost fluid method for compressible two-medium flow problems, Comm. Comput. Phys., to appear.
M. Zhang, W. Huang and J. Qiu: A high-order well-balanced positivity-preserving moving mesh DG method for the shallow water equations with non-flat bottom topography, J. Sci. Comput., to appear. http://arxiv.org/abs/2006.15187.
J. Zhu and J. Qiu, High order mapped finite difference WENO schemes for hyperbolic conservation laws, Comm. Applied Math. Comput., to appear.
J. Zhu, C.-W. Shu and J. Qiu: High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on tetrahedral meshes, Comm. Comput. Phys., to appear.
M. Ahmat and J. Qiu: SSP IMEX Runge-Kutta WENO scheme for generalized Rosenau-KdV-RLW equation, J. Math. Study, to appear.
D. Luo, J. Qiu, J. Zhu and Y. Chen: A quasi-conservative discontinuous Galerkin method for multi-component flows using the non-oscillatory kinetic flux, J. Sci. Comput.，to appear.
J. Chen, X. Cai, J. Qiu, and J.-M. Qiu: Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for advection problem, Comm. Comput. Phys., to appear.
Z. Zhao, Y.-T. Zhang and J. Qiu: A modified fifth order finite difference Hermite WENO scheme for hyperbolic conservation laws, J. Sci. Comput., 85 (2020), 29. https://doi.org/10.1007/s10915-020-01347-1.
M. Zhang, W. Huang and J. Qiu: High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer, SIAM J. Sci. Comput., 42(2020), A3109-A3135. https://arxiv.org/abs/1910.11931.
Z. Zhao and J. Qiu: A Hermite WENO scheme with artificial linear weights for hyperbolic conservation laws, J. Comput. Phys., 417 (2020), 109583, https://doi.org/10.1016/j.jcp.2020.109583.
Y. Ren, T. Xiong and J. Qiu: A hybrid finite difference WENO-ZQ fast sweeping method for static Hamilton-Jacobi equations, J. Sci. Comput., 83 (2020), 54. https://doi.org/10.1007/s10915-020-01228-7
J. Zhu, C.-W. Shu and J. Qiu: High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters on triangular meshes, Applied Numer. Math., 153 (2020), 519-539. https://doi.org/10.1016/j.apnum.2020.03.013
J. Zhu，F. Zheng and J. Qiu: New finite difference Hermite WENO schemes for Hamilton-Jacobi equations, J. Sci. Comput., 83 (2020), 7. https://doi.org/10.1007/s10915-020-01174-4.
M. Zhang, J. Cheng, W. Huang and J. Qiu: An adaptive moving mesh discontinuous Galerkin method for the radiative transfer equation, Commun. Comput. Phys., 27 (2020), 1140-1173. doi: 10.4208/cicp.OA-2018-0317.
Z. Zhao, Y. Chen and J. Qiu: A hybrid Hermite WENO method for hyperbolic conservation laws, J. Comput. Phys., 405 (2020), 109175. https://doi.org/10.1016/j.jcp.2019.109175
J. Zhu, J. Qiu and C.-W. Shu: High-order Runge-Kutta discontinuous Galerkin methods with a new type of multi-resolution WENO limiters, J. Comput. Phys., 404 (2020)，109105. https://doi.org/10.1016/j.jcp.2019.109105
H. Zhu J. Qiu and J. Zhu: A simple, high-order and highly compact WENO limiter for RKDG method , Comput. Math. Appl., 79(2020), 317–336.
J. Zhu and J. Qiu: A new type of high-order WENO scheme for Hamilton-Jacobi equations on triangular meshes, Commun. Comput. Phys., 27 (2020), 897-920. doi: 10.4208/cicp.OA-2018-0156.
P. Giri and J. Qiu: A High Order Runge-Kutta Discontinuous Galerkin Method with a Sub-cell Limiter on Adaptive Unstructured Grids for Compressible Inviscid Flows, Inter. J. Numer. Methods Fluids，91(2019), 367–394. https://doi.org/10.1002/fld.4757.
M. Zhang, J. Cheng and J. Qiu: High order positivity-preserving discontinuous Galerkin schemes for radiative transfer equations on triangular meshes,, J. Comput. Phys., 397 (2019), 108811.
X. Yang, W. Huang and J. Qiu: Moving Mesh Finite Difference Solution of Non-Equilibrium Radiation Diffusion Equations , Numerical Algorithms, 82 (2019),1409–1440.
D. Luo, W. Huang and J. Qiu: A quasi-Lagrangian moving mesh discontinuous Galerkin method for hyperbolic conservation laws, J. Comput. Phys., 396(2019), 544–578.
F. Zheng, C.-W. Shu and J. Qiu: High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes,, Computer Fluid, 183(2019), 53-65.
Z. Zhao, J. Zhu, Y. Chen and J. Qiu: A new hybrid WENO scheme for hyperbolic conservation laws, Computer Fluid., 179 (2019), 422–436.
J. Lin, R. Abgrall and J. Qiu: High order residual distribution for steady state problems for hyperbolic conservation laws , J. Sci. Comput., 79 (2019),891-913.
C. Lu, W. Huang and J. Qiu: An adaptive moving mesh finite element solution of the Regularized Long Wave equation, J. Sci. Comput.,74 (2018)，122–144.
X. Cai, J. Qiu and J.-M. Qiu: Finite volume HWENO schemes for nonconvex conservation laws, J. Sci. Comput., 75 (2018),65–82.
J. Zhu and J. Qiu: New finite volume weighted essentially non-oscillatory schemes on triangular meshes , SIAM J. Sci. Comput., 40 (2018), A903–A928.
J. Zhu, X. Zhong, C.-W. Shu and J. Qiu: Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes, Commun.Comput. Phys., 21(2017), 623-649.
X. Cai, J. Zhu and J. Qiu: Hermite WENO schemes with strong stability preserving multi-step temporal discretization methods for conservation laws, J. Comput. Math., 35 (2017), 52-73.
J. Zhu and J. Qiu: A new fifth order finite difference WENO scheme for Hamilton-Jacobi equations, Numer. Method PDEs., 33 (2017), 1095-1113.
Z. Tao and J. Qiu: Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations, Adv. Comput. Math., 43 (2017), 1023–1058.
J. Zhu and J. Qiu: A new type of modified WENO schemes for solving hyperbolic conservation laws , SIAM. J. Sci. Comput., 39(2017), A1089–A1113.
F. Zheng, C.-W. Shu and J. Qiu: Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations, J. Comput. Phys., 337(2017), 27-41.
H. Zhu, J. Qiu and J.-M. Qiu: An h-Adaptive RKDG Method for the Two-Dimensional Incompressible Euler Equations and the Guiding Center Vlasov Model,, J. Sci. Comput., 73 (2017), 1316-1337.
B. Huang and J. Qiu: Hybrid WENO schemes with Lax-Wendroff type time discretization , J. Math. Study, 50 (2017), 242-267.
J. Zhu and J. Qiu: A new type of finite volume WENO schemes for hyperbolic conservation laws, J. Sci. Comput., 73 (2017), 1338-1359.
J. Zhu and J. Qiu: A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes , J. Comput. Phys., 349 (2017), 220–232.
F. Zheng and J. Qiu: Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes, J. Comput. Phys., 307 (2016) 423-445.
H. Liu and J. Qiu: Finite Difference Hermite WENO schemes for conservation laws, II: an Alternative Approach, J. Sci. Comput., 66 (2016), 598-624.
J. Liu, J. Qiu, M. Goman, X. Li and M. Liu: Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock, Numer. Math.: Theory, Methods Appl., 9(2016), 87-110.
J. Zhu, X. Zhong, C.-W. Shu and J. Qiu: Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter, Commun.Comput. Phys., 19(2016), 944-969.
X. Cai. X. Zhang and J. Qiu: Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations, J. Sci. Comput., 68(2016), 464-483.
D. Luo, W. Huang and J. Qiu: A hybrid LDG-HWENO scheme for KdV-type equations, J. Comput. Phys., 313 (2016), 754-774.
Z. Tao, F. Li and J. Qiu: High-order central Hermite WENO schemes: dimension-by-dimension moment-based reconstructions, J. Comput. Phys.,318 (2016), 222-251.
J. Zhu and J. Qiu: A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws, J. Comput. Phys., 318 (2016), 110-121.
H. Zhu, J. Qiu and J.-M. Qiu: An h-adaptive RKDG method for the Vlasov-Poisson system, J. Sci. Comput., 69 (2016), 1346-1365.
X. Cai, J. Qiu and J.-M. Qiu: A conservative semi-Lagrangian HWENO method for the Vlasov equation, J. Comput. Phys., 323 (2016), 95–114.
Z. Tao, F. Li and J. Qiu: High-order central Hermite WENO schemes on staggered meshes for hyperbolic conservation laws, J. Comput. Phys., 281(2015), 148-176.
H. Liu and J. Qiu: Finite Difference Hermite WENO schemes for conservation laws, J. Sci. Comput., 63 (2015), 548-572.
X. Yang, W. Huang and J. Qiu: A moving mesh finite difference method for equilibrium radiation diffusion equations, J. Comput. Phys., 298(2015), 661-677.
W. Guo, J.-M. Qiu and J. Qiu: A New Lax-Wendroff Discontinuous Galerkin Method with Superconvergence, J. Sci. Comput., 65(2015), 299-326.
J. Zhu and J. Qiu: Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equation, Commun.Comput. Phys., 15 (2014), 959-980.
G. Li and J. Qiu: Hybrid WENO schemes with different indicators on curvilinear grid, Adv. Comput. Math., 40 (2014), 747-772.
C. Lu, W. Huang and J. Qiu: Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems, Numer. Math., 127 (2014), 515-537.
J. Zhu and J. Qiu: Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations II: unstructured meshes, Computers Math. Appl., 68 (2014), 1137-1150.
J. Zhu and J. Qiu: Adaptive Runge-Kutta discontinuous Galerkin methods with the modified ghost fluid method for solving the compressible two-medium flow, J. Math. Study, 47(2014), 250-273.
J. Zhu and J. Qiu: WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces, J. Sci. Comput., 55 (2013), 606-644.
H. Yang, F. Li and J. Qiu: Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods, J. Sci. Comput., 55(2013), 552-574.
H. Zhu and J. Qiu: An h-adaptive RKDG method with troubled-cell indicator for two-dimensional hyperbolic conservation laws, Adv. Comput. Math., 39(2013), 445-463.
Y. Cheng, F. Li, J. Qiu and L. Xu: Positivity-preserving DG and central DG methods for ideal MHD equations, J. Comput. Phys. 238 (2013), 255-280.
H. Zhu, Y. Cheng and J. Qiu: A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods, Adv. Appl. Math. Mech., 5 (2013), 365-390.
H. Zhu and J. Qiu: An h-adaptive Runge-Kutta discontinuous Galerkin method for Hamilton-Jacobi equations, Numer. Math.: Theory, Methods Appl., 6 (2013), 617-636.
J. Zhu, X. Zhong, C.-W. Shu and J. Qiu: Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured mesh, J. Comput. Phys., 248 (2013), 200-220.
J. Zhu and J. Qiu: Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes, J. Comput. Phys., 254 (2013), 76-92.
J. Liu, J. Qiu, O. Hu, N. Zhao, M. Goman and X. Li: Adaptive Runge_CKutta discontinuous Galerkin method for complex geometry problems on Cartesian grid, Inter. J. Numer. Methods Fluids, 73 (2013), 847-868.
J. Zhu and J. Qiu: Runge-Kutta discontinuous Galerkin method using WENO type limiters: Three dimensional unstructured meshes, Commun.Comput. Phys., 11 (2012), 985-1005.
G. Li, C. Lu and J. Qiu: Hybrid well-balanced WENO schemes with different indicators for shallow water equations, J. Sci. Comput., 51 (2012), 527-559.
C.-S. Huang, T. Arbogast and J. Qiu: An Eulerian-Lagrangian WENO finite volume scheme for advection problems, J. Comput. Phys., 231(2012), 4028-4052.
J. Zhu, T. G. Liu, J. Qiu and B. C. Khoo: RKDG methods with WENO limiters for unsteady cavitating flow, Computers & Fluids, 57(2012), 52-65.
X. Yang, W. Huang and J. Qiu: A moving mesh WENO method for one-dimensional conservation laws, SIAM J. Sci. Comput..34 (2012), A2317-A2343.
J. Zhu and J. Qiu: Local DG method using WENO type limiters for convection-diffusion problems, J. Comput. Phys., 230 (2011), 4353-4375.
W. Guo, F. Li and J. Qiu: Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations, J. Sci. Comput., 47 (2011), 239-257.
C. Lu and J. Qiu: Simulations of shallow water equations with Finite Difference Lax-Wendroff Weighted Essential Non-oscillatory Schemes, J. Sci. Comput., 47 (2011), 281-302.
J. Zhu, J. Qiu, T. G. Liu and B. C. Khoo: RKDG methods with WENO type limiters and conservative interfacial procedure for one-dimensional compressible multi-medium flow simulations Appl. Numer. Math., 61(2011), 554-580.
R. Abgrall and J. Qiu: Preface to the special issue High order methods for CFD problems, J. Comput. Phys., 230 (2011), 4101-4102.
C. Lu, J. Qiu and R. Wang: A numerical study for the performance of the WENO schemes based on different numerical fluxes for the shallow water equations, J. Comp. Math., 28 (2010), 807-825.
J. Zhu and J. Qiu: Trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems, Commun.Comput. Phys., 8 (2010), 1242-1263.
G. Li and J. Qiu: Hybrid weighted essentially non-oscillatory schemes with different indicators, J. Comput. Phys., 229 (2010) 8105-8129.
C. Lu, J. Qiu and R. Wang: Weighted Essential Non-oscillatory Schemes for Tidal Bore on Unstructured Meshes, International Journal for Numerical Methods in Fluids, 59 (2009), 611-630.
J. Zhu and J. Qiu: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method III: Unstructured meshes, J. Sci. Comput., 39 (2009),293-321.
T. Sun and J. Qiu: LWDG method for a multi-class traffic flow model on an inhomogeneous highway, Adv. Appl. Math. Mech., 1 (2009), 438-450.
F. Gao J. Qiu and Q. Zhang: Local Discontinuous Galerkin Finite Element Method and Error Estimates for One Class of Sobolev Equation, J. Sci. Comput., 41 (2009), 436-460.
H. Zhu and J. Qiu: Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: One-dimensional case, J. Comput. Phys., 228 (2009) , 6957-6976.
J. Qiu, T. G. Liu and B. C. Khoo: Simulations of compressible two-medium flow by Runge-Kutta discontinuous Galerkin methods with the ghost fluid method, Commun. Comput. Phys., 3 (2008), 479-504.
J. Zhu, J. Qiu, C.-W. Shu and M. Dumbser: Runge-Kutta discontinuous Galerkin method using WENO limiters II: Unstructured meshes , J. Comput. Phys., 227 (2008) 4330-4353.
J. Qiu: Development and comparison of numerical fluxes for LWDG methods, Numerical Mathematics: Theory, Methods and Applications, 1 (2008), 435-459.
J. Zhu and J. Qiu: A Class of Forth order Finite Volume Hermite Weighted Essentially Non-oscillatory Schemes, Science in China, Series A--Mathematics, 51 (2008), 1549-1560.
H. Dou, H.M. Tsai, B.C. Khoo and J. Qiu: Simulations of detonation wave propagation in rectangular ducts using a three-dimensional WENO scheme, Combustion and Flame 154 (2008) 644-659
J. Qiu: WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations, J. Comput. Appl. Math., 200(2007), 591-605.
J. Qiu: Hermite WENO Schemes with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi equations, J. Comp. Math., 25(2007), 131-144.
J. Qiu: A Numerical comparison of the Lax-Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes, J. Sci. Comput., 30(2007), 345-367.
J. Qiu, T. G. Liu and B. C. Khoo: Runge-Kutta discontinuous Galerkin methods for compressible two-medium flow simulations: One-dimensional case, J. Comput. Phys., 222(2007), 353-373.
J. Qiu, B.C. Khoo and C.-W. Shu: A numerical study for the performance of the Runge-Kutta discontinuous Galerkin method based on different numerical fluxes , J. Comput. Phys., 212 (2006), 540-565.
J. Qiu and C.-W. Shu: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method II: Two dimensional case, Computers & Fluids , 34 (2005) 642-663.
J. Qiu, M. Dumbser and C.-W. Shu: The discontinuous Galerkin method with Lax-Wendroff type time discretizations, Comput. Methods Appl. Mech. Engrg., 194 (2005),4528-4543.
J. Qiu and C.-W. Shu: Hermite WENO schemes for Hamilton-Jacobi equations. J. Comput. Phys., 204(2005), 82-99.
J. Qiu and C.-W. Shu: Runge-Kutta discontinuous Galerkin method using WENO limiters, SIAM J. Sci. Comput. , 26(2005),907-929.
J. Qiu and C.-W. Shu: A comparison of trouble cell indicators for Runge-Kutta discontinuous Galerkin method using WENO limiters , SIAM J. Sci. Comput. 27 (2005), 995-1013.
J. Qiu and C.-W. Shu: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: one-dimensional case, J. Comput. Phys., 193 (2004) 115-135.
J. Qiu and C.-W. Shu: Finite difference WENO schemes with Lax-Wendroff type time discretizations. SIAM J. Sci. Comput. 24 (2003) 2185-2198.
J. Qiu and C.-W. Shu: On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes. J. Comput. Phys., 183 (2002) 187-209.
Z.Xu, R. Liu and J. Qiu: Advances in weighted essentially non-oscillatory schemes for hyperbolic conservation laws, Advances of Mechanics, 34(2004) pp. 9-22, (in Chinese).
Z. Xu, J. Qiu and R. Liu: Some optimal methods for WENO scheme in hyperbolic conservation laws, J. of Univ. Sci. Tech. China, 23 (2004), 29-37, (in Chinese).
R. Wang, J. Qiu, J. Dai and N. Zhao: A high resolution Gauss scheme with staggered grid for shallow water equation, Advances in Water Science, 13 (2002),403-408, (in Chinese).
J. Qiu, J. Dai, N. Zhao and R. Wang: A Class of Gauss schemes with staggered grids, Mathematica Applicata, 14-2 (2001) , 1-5, (in Chinese).
J. Qiu and J. Dai: A Class of Gauss schemes with staggered grids in two dimensions, Chinese J. of Comput. Phys., 18 (2001), 241-246, (in Chinese).
C. Wang, J. Qiu and J. Dai: Construction and numerical simulation of high accuracy weighted ENO schemes, Chinese J. Comput. Phys., 18 (2001), 381-384, (in Chinese).
J. Qiu and J. Dai: A class of difference schemes with staggered grids for Hamilton-Jacobi equations, J. Nanjing Univ. Aero. Astro., 32 (2000), 573-578, (in Chinese).
J. Qiu and K. You: A class of generalization Lax-Friedrichs schemes, J. Jimei Univ., No. 3, (1998), (in Chinese).
J. Qiu and K. You: Gauss scheme for numerical Ordinary differential equation, J. Jimei Univ.,No. 4, (1997), (in Chinese).
J. Qiu: A class of large tine step TVD schemes , J. Jimei Univ., No. 1, (1995), (in Chinese).
J. Qiu: Convergence of the second order large time step EO scheme ,J. Jimei Univ., No. 2, (1994), (in Chinese).
J. Qiu: A class generalization large time step up-wind scheme , J. Jimei Univ.,No. 1, (1992), (in Chinese).
Publications in Conference Proceedings and books
J. Qiu and Q. Zhang: Stability, error estimate and limiters of Discontinuous Galerkin Methods, Handbook of Numerical Methods for Hyperbolic Problems: Part A, edited by R. Abgrall and C.-W. Shu, Elsevier. 2016， pp. 147-171.
J. Qiu: Weighted Non-Oscillatory Limiters for Runge-Kutta Discontinuous Galerkin Methods, ADAPTIVE HIGH-ORDER METHODS IN COMPUTATIONAL FLUID DYNAMICS, edited by Z J Wang, World Scientific press, 2011.
J. Qiu and J. Zhu: RKDG with WENO type limiter, ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Volume 113, Springer, 2010
J. Qiu and C.-W. Shu: RKDG methods with WENO type limiter for conservation laws, Proc. of the Sixth World Congress on Computational Mechanics, pp. 203. 2004,Beijing, P.R. China. @2004 Tsinghua University Press & Springer-Verlag.
J. Qiu, Ning Zhao, Jiazun Dai and Ruyun Wang: A class of large time-step MUSCL schemes, Proc. of the 4th Asian Computational Fluid Dynamics Conference, pp. 536-540,2000, Sichuan, P.R. China.
J. Dai and J. Qiu: Numerical methods for differential equations, Southeastern University Press, 2002.
Preprints:
N. Zheng, X. Cai, J.-M. Qiu and J. Qiu: A conservative semi-Lagrangian hybrid Hermite WENO scheme for linear transport equations and the nonlinear Vlasov-Poisson system, submitted to SIAM J. Sci. Comput..
Z. Zhao, Y. Chen and J. Qiu: A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems, submitted to Numerical Mathematics: Theory, Methods and Applications, http://arxiv.org/abs/2009.00461.
Y. Ren, Y. Xing and J. Qiu: High order finite difference Hermite WENO fast sweeping methods for static Hamilton-Jacobi equations, submitted to J. Comput. Math., http://arxiv.org/abs/2009.03494
J. Zhu, C.-W. Shu and J. Qiu: High-order Runge-Kutta discontinuous Galerkin methods with multi-resolution WENO limiters for solving steady-state problems, submitted to Applied Numer. Math.
M. Ahmat and J. Qiu: Fourth order ETDRK scheme with Cauchy integral for nonlinear dispersive wave equations, submitted to Math. Comput. Simulation.
F. Zheng, C.-W. Shu and J. Qiu: A high order conservative finite difference scheme for compressible two-medium flows, submitted to J. Comput. Phys..
J. Zhu and J. Qiu: A brief survey on WENO limiters for discontinuous Galerkin methods, submitted to J. Xiamen Univ. (in Chinese).
J. Li, C.-W. Shu and J. Qiu: Multi-resolution HWENO schemes for hyperbolic conservation laws, submitted to J. Comput. Phys..
Y. Ren, Y. Xing, D. Wang and J. Qiu: High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state $S_{N}$ transport equation, submitted to J. Comput. Phys..
D. Luo, S. Li, W. Huang, J. Qiu and Y. Chen: A quasi-conservative DG-ALE method for multi-component flows using the non-oscillatory kinetic flux, submitted to J. Sci. Comput..
S. Li, D. Luo, J. Qiu and Y. Chen: A compact and efficient high-order gas-kinetic scheme, submitted to J. Comput. Phys..
C. Fan, X. Zhang and J. Qiu: A positivity-preserving hybrid Hermite WENO scheme for the compressible Navier-Stokes equations, submitted to SIAM J. Sci. Comput..
在读研究生：
2015级 赵 状 （硕、博连读）
2017级 穆耶赛尔.艾合麦提 （博士生）
2017级 任玉鹏 （博士生）
2017级 范 川 （硕、博连读）
2018级 李佳音 （博士生）
2018级 郑南艺 （博士生）
2019.10 施若楠 （博士后）
2020级 王昊 （硕士生）
