人物簡介
邱建賢,
曾任南京大學數學系教授,現廈門大學數學科學學院教授,博士生導師,國際著名刊物“Journal of Computational Physics” (計算物理) 編委,中國計算數學學會常務理事。 主要從事流體力學的數值方法和偏微分方程數值解的研究工作,重點研究對流占優問題的數值方法,包括間斷Galerkin (DG) 有限元方法 、有限差分方法及有限體積法中的本質無振盪(ENO)、加權ENO (WENO)方法,以及這些方法在計算流體力學中的套用。 已發表了四十多篇研究論文。主要科研項目
1. 高分辨數值方法及其在三維複雜流體中的套用, 國家自然科學基金重點項目(10931004), 2010.01-2013.12,負責人。
2. Adaptive Higher-Order Variational Methods for Aerodynamic Applications in Industry, 歐盟第六框架特別研究項目,2006.9-2009.12,中方負責人。
3. 對流占優問題的高精度數值方法研究與套用, 國家自然科學基金面上項目(10671091), 2007.01-2009.12,負責人。
學習經歷:
1998年04月至2001年03月南京航空航天大學流體力學專業學習,獲博士學位,導師:戴嘉尊教授。
1985年08月至1988年03月南京航空航天大學計算數學專業學習,獲碩士學位, 導師:戴嘉尊教授。
1978年09月至1982年07月中國地質大學(武漢)數學班學習, 獲學士學位。
工作經歷
2005年01月至今 南京大學 數學系教授。
2006年06月至2006年08月 中科院計算數學與科學工程計算研究所高級訪問學者。
2003年06月至2005年12月 新加坡國立大學 計算科學系及機械工程系研究員( Research Fellow)。
2003年02月至2003年06月 美國布朗大學 套用數學系訪問副教授。
2001年04月至2003年04月 中國科學技術大學 數學系從事博士後研究工作, 合作導師:舒其望教授
1988年04月至1998年04月 集美大學數學教研室任教。1991年11月晉升為講師, 1997年01月晉升為副教授。
1982年08月至1985年08月 湖北省第五地質大隊子弟中學任教。
學術兼職
2006年09月至今 Journal of Computational Physics (計算物理) 編委。
2008年11月至今 Advances in Applied Mathematics and Mechanics 編委。
2006年11月至今 江蘇省工業與套用數學學會常務理事。
2008年08月至今 中國工業與套用數學學會理事。
在研科研項目
Adaptive Higher-Order Variational Methods for Aerodynamic Applications in Industry, 歐盟第六框架特別研究項目,2006.9-2009.8,中方負責人。
對流占優問題的高精度數值方法研究與套用, 國家自然科學基金, 2007.01-2009.12,負責人。
雙曲守恆律初值問題的間斷Galerkin有限元方法研究, 留學回國人員科研啟動基金,獨立。
對流占優問題的數值方法研究, 南京大學人才引進啟動基金,獨立。
非均勻介質中溶質運移模型的多尺度分析與計算,江蘇省創新人才(學術)基金,2006.06-2009.05, 參與。
潰壩、涌浪等畸變自由面問題的數值模擬方法研究, 國家自然科學基金 2004.01-2006.12,參與。
Publications in Refereed Journal
(Impact Factor, J. Comput. Phys. 2.372; SIAM J. Sci. Comput. 1.784; Commun. Comput. Phys. 1.633; Comput. Methods Appl. Mech. Engrg. 1.488; Computers & Fluids 1.431; J. Sci. Comput. 1.293; J. Comput. Appl. Math. 0.943;Int. J. Numer. Methods Fluids, 0.712; J. Comput. Math.0.667, Sci. China Ser. A-Math, 0.371)
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.
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, to appear.
J. Qiu: Development and comparison of numerical fluxes for LWDG methods, Numerical Mathematics: Theory,Methods and Applications, 1 (2008), 435-459.
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, 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.
H. S. 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, 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: A Numerical comparison of the Lax-Wendroff Discontinuous Galerkin Method Based on Different Numerical Fluxes, J. Sci. Comput., 30(2007), 345-367.
J. Qiu: Hermite WENO Schemes with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi equations, J. Comp. Math., 25(2007), 131-144.
J. Qiu: WENO Schemes with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi equations, J. Comput. Appl. Math., 200(2007), 591-605.
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: 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: Runge-Kutta discontinuous Galerkin method using WENO limiters,SIAM J. Sci. Comput. , 26(2005),907-929.
J. Qiu and C.-W. Shu: Herimte WENO scheme for Hamilton-Jacobi equations. J. Comput. Phys., 204(2005), 82-99.
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 and their application as limiters for Runge-Kutta discontinuous Galerkin method (II): two dimensional case, Computers & Fluids , 34 (2005) 642-663.
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, 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).
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).
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).
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 Gauss schemes with staggered grids in two dimensions, Chinese J. of Comput. Phys., 18 (2001), 241-246, (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 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 0rdinary 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 secondorder 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, T. G. Liu and B. C. Khoo: Runge-Kutta discontinuous Galerkin methods for simulations of multi-phase flow , Scientific Computational PDEs, Dec. 12-16, 2005,Hong Kong. (Invited speaker in MS-6).
· J. Qiu, B. C. Khoo and C.-W. Shu: A numerical study of RKDG methods with different numerical fluxes, The International Workshop on Computational Science and its Education, Aug. 29-Sept 2,2005, Beijing, China. (Invited speaker).
· J. Qiu, T. G. Liu and B. C. Khoo, Simulations of multi-phase flow using Runge-Kutta discontinuous Galerkin methods with conservative approach of interfaces, Asian Mathematical Conference, July 20-23, 2005, Singapore. (Contribution speaker).
· J. Qiu and C.-W. Shu, WENO limiters for Runge-Kutta discontinuous Galerkin methods, International Conference on Scientific Computing, June 4-8, 2005, Nanjing. (Invited speaker and organizer).
· J. Qiu and C.-W. Shu, Runge-Kutta discontinuous Galerkin methods with WENO type limiters, First Singapore Workshop on Differential Equations and Scientific Computing, Dec. 23-24, 2004, Singapore. (Invited speaker).
· 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. (Invited speaker in MS-26).
· 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. (Contribution speaker).
· J. Dai and J. Qiu, Numerical methods for differential equations, Southeastern University Press, 2002.
--------------------------------------------------------------------------------
Preprints:
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, submitted to J. Comp. Math..
H. Zhu and J. Qiu: Adaptive Runge-Kutta discontinuous Galerkin methods using different indicators: one dimensional case, submitted to J. Comput. Phys.
J. Zhu and J. Qiu: Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method III: Unstructured meshes, submitted to J. Sci. Comput.