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Faculty

Qikui Du Professor

Bio: 

Educational Background

  • PhD,Computational Mathematics,Institute of Computational Mathematics and Science / Engineering Computing,Chinese Academy of Sciences (1999)
  • MA,Applied Mathematics,Xi'an Jiaotong University (1993)
  • BA,Pure Mathematics,Huaibei Coal Industry Normal Cellege (1986)

 

Professional Experiences

  • 1986.7-2000.7,Department of Mathematics,Huaibei Coal Industry Normal College.
  • 2000.1-2000.12,Vistor Scholar,Institute of Computational Mathematics and Science / Engineering Computing,Academy of Mathematics and System Sciences,Chinese Academy of Sciences.
  • 2000.8-2009.4,School of Mathematics and Computer Science,Nanjing Normal University.
  • 2009.4-present,School of Mathematical Sciences,Nanjing Normal University.

 

Academic Positions

  • Assistant,Huaibei Coal Industry Normal College,Aug.1987.
  • Lecturer,Huaibei Coal Industry Normal College,April 1993.
  • Associate Professor,Huaibei Coal Industry Normal College,Nov.1996.
  • Professor,Huaibei Coal Industry Normal College,July.2000.

 

Research

Research Interests

  • Numerical Approximations of Partial Differential Equations;
  • Finite Element and Boundary Element Methods;
  • Domain Decomposition Method,etc.

 

Research Projects

  • “Investigation on artificial boundary methods for some problems in unbounded domains and their domain decomposition algorithms”(grant number:11371198),National Natural Science Foundation of China,2014-2017.
  • “Artificial boundary conditions for exterior domain problems and domain decomposition algorithms”(grant number:10871100),National Natural Science Foundation of China,2009-2011.
  • “Multiscale analysis and its domain decomposition methods,and multigrid methods”(grant number:10471067),National Natural Science Foundation of China,2005-2007.
  • “Multiscale analysis and multigrid algorithms”(grant number:BK2006215),Natural Science Foundation of Jiangsu Province,2006-2008.
  • “Natural boundary reductions for initial boundary value problems of evaluation equations and their related problems”,Nanjing Normal University Sciences Foundation,2001-2003.
  • “Domain decomposition methods on unbounded,crack and concave domain”(grant number:19701001),National Natural Science Foundation of China,1998-2000.
  • “Boundary element methods and its applications”,Youth Science Foundation of the Coal Industry Department,1996-1998.
  • “Theory of causal system and its applications in fuzzy information processing and fuzzy control”,Natural Science Foundation of Anhui Province,1995-1998.
  • “Theory of boundary element methods and its aApplications”,Natural Science Foundation of Anhui Universities,1995-1997.
  • “Applications of Nielsen's theory in lower dimensional topology”,Youth Science Foundation of the Coal Industry Department,1993-1995.

 

Journal Articles

  1. Liu Baoqing,Zhou Xiaojian,Du Qikui,Differential transform method for some delay differential equations,Applied Mathematics,6(2015),585-593.
  2. Luo Xuqiong,Du Qikui,Liu Libin,A D-N alternating algorithm for exterior 3-D Poisson problem with prolate spheroid boundary,Applied Mathematics and Computation,269(2015),252-264.
  3. Liu Baoqing,Chen Qing,Du Qikui,An artificial boundary condition for a class of Quasi-Newtonian Stokes flows,East Asian Journal on Applied Mathematics,4:1(2014),35-51.
  4. Liu Baoqing,Du Qikui,Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem,Applications of Mathematics,59:3(2014),285-301.
  5. Chen Qing,Liu Baoqing,Du Qikui,A D-N alternating algorithm for solving 3D exterior Helmholtz problems,Mathematical Problems in Engineering,Volume 2014,Article ID 418426,8 pages.
  6. Chen Yajun,Du Qikui,A non-overlapping domain decomposition method for an anistopic problem in an infinite domain with a concave angle,Acta Mathematica Applied Sinica,37:5(2014),912-925.(in Chinese)
  7. Chen Qing,Feng Dan,Liu Baoqing,Du Qikui,A NBEM for the time-dependent anisotropic problem in an Exterior elliptic domain,Journal of Mathematics Research,5:4(2013),107-120.
  8. Luo Xuqiong,Du Qikui,Local Lagrange interpolations using bivariate C2 splines of degree seven on triangulated quadrangulations,Journal of Mathematics,Volume 2013,Article ID 638254,12 pages.
  9. Liu Baoqing,Du Qikui,The coupling of NBEM and FEM for quaslinear problem in a bounded or unbounded domain with a concave angle,Journal of Computational Mathematics,31:3(2013),308-325.
  10. Luo Xuqiong,Du Qikui,Hunag Hongying,He Tianshu,A Schwarz alternating algorithm for athree-dimensional Exterior harmonic problem with prolate spheroid boundary,Computers and Mathematics with Applications,65:8(2013),1129–1139.
  11. Luo Xuqiong,Du Qikui,An unconditionally stable fourth-order method for telegraph equation based on Hermite interpolation,Applied Mathematics and Computation,219(2013),8237-8246.
  12. Liu Baoqing,Du Qikui,An onoverlapping domain decomposition method for an exterior anisotropic quasilinear elliptic problem in elongated domains,Mathematical Problems in Engineering,Volume 2013,Article ID 828615,16 pages.
  13. Chen Yajun,Du Qikui,On the coupled of natural boundary element method and finite element method using elliptical arc artificial boundary for exterior problems with a concave angle,Journal on Numerical Methods and Computer Applications,34:4(2013),305-311.
  14. Liu Baoqing,Du Qikui,On the coupled of NBEM and FEM for an anisotropic quasilinear problem in elongated domains,American Journal of Computational Mathematics,2:(2012),143-155.
  15. Chen Yajun,Du Qikui,An overlapping domain decomposition method for an anisotropic problem in an infinite domain with a concave angle,Acta Mathematica Applied Sinica,35:6(2012),1030-1043.(in Chinese)
  16. Feng Dan,Du Qikui,A Schwarz alternating algorithm based on artificial boundary conditions for a kind of anisotropic problems in an exterior elliptic domain,Applied Mathematics -A Journal Chinese Universities,26:2(2011),158-168.(in Chinese)
  17. Luo Xuqiong,Liu Huanwen,Du Qikui,Dimension of space of bivariate quartic spline function over generalized type-II triangulations,Numerical Mathematics–A Journal Chinese Universities,33:3(2011),261-269.(in Chinese)
  18. Chen Yajun,Du Qikui,The coupling of natural boundary element method and finite element method for an anisotropic problem in an infinite domain with a concave angle,Acta Mathematica Applied Sinica,33:4(2010),758-768.(in Chinese)
  19. Chen Yajun,Du Qikui,Natural boundary element method for an anisotropic problem in an infinite domain  with a concave angle,Acta Mathematica Applied Sinica,32:5(2009),835-848.(in Chinese)
  20. Chen Yajun,Du Qikui,Natural boundary element method for boundary value problem i n an exterior elliptic infinite sector domain,32:6(2009),6-12.(in Chinese)
  21. Hao Ping,Du Qikui,Natural boundary element method for a kind of anisotropic parabolic problem in an exterior domain,Applied Mathematics-A Journal Chinese Universities,24:3(2009),368-378.(in Chinese)
  22. Du Qikui,Zhu Wei,Chen Qing,Some efficient algorithms for anisotropic Laplace-like equation over an exterior two-dimensional domain,International Conference on Numerical Analysis and Applied Mathematics,Numerical Analysis And Applied Mathematics,Vol 1-2(2009),884-887,2009/9/18.
  23. Shan Zhengduo,Du Qikui,Trigonometric wavelet methods for 2D harmonic problems,Journal of Mathematics Analysis and Applications,344:(2008),1105-1119.
  24. Zhang Min,Du Qikui,Natural boundary element method for the Helmholtz problem in an exterior elliptic domain,Mathematicae Numerica Sinica,30:1(2008),75-88.(in Chinese)
  25. Zhao Zixia,Du Qikui,Natural boundary element method for an anisotropic problem in an exterior elliptic domain,Journal of Nanjing Normal University,31:1(2008),26-31.
  26. Ai Yan,Du Qikui,Exact artificial boundary condition for the exterior hyperbolic problems with a concave angle,Applied Mathematics-A Journal Chinese Universities,22:4(2007),447-454.(in Chinese)
  27. Du Qikui,Tang Minxia,Exact and approximate artificial boundary conditions for the hyperbolic problems in unbounded domains,Applied Mathematics and Computation,169:1(2005),544-562.
  28. Huang Hongying,Du Qikui,Zhu Changjie,The coupling of NBE and FEM for 2D exterior harmonic problems in an elongated domain,Journal of Nanjing Normal University,28:1(2005),30-35.(in Chinese)
  29. Du Qikui,Yu Dehao,Schwarz alternating method based on natural  boundary reduction for time-dependent problems on unbounded domains,Communications in Numerical Methods in Engineering,20:5(2004),363-378.
  30. Yang Min,Du Qikui,A Schwarz alternating algorithm for elliptic boundary value problems in a infinite domain with a concave angle,Applied Mathematics and Computation,159:1(2004),199-220.
  31. Zhu Wei,Du Qikui,The overlapping domain decomposition method for an anisotropic exterior elliptic problem,Mathematicae Numerica Sinica,26:4(2004),459-472.(in Chinese)
  32. Du Qikui,Zhang Mingxin,A nonoverlapping domain decomposition algorithm based on the natural boundary reduction for wave equations in an unbounded domain,Numerical Mathematics–A Journal Chinese Universities,13:2(2004),121-132.
  33. Yang Min,Du Qikui,An overlapping domain decomposition algorithm for elliptic boundary value problems with infinite concave angle domains,Journal on Numerical Methods and Computer Applications,25:2(2004),90-99.(in Chinese)
  34. Du Qikui,Yu Dehao,Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain,Applied Numerical Mathematics,44:4(2003),471-486.
  35. Yu Dehao,Du Qikui,The coupling of natural boundary element and finite element method for 2D hyperbolic equations,Journal of Computational Mathematics,21:5(2003),585-594.
  36. Du Qikui,Yu Dehao,The natural boundary reduction for some elliptic boundary value problems with concave angle domains,Mathematicae Numerica Sinica,25:1(2003),85-98.(in Chinese)
  37. Du Qikui,Yu Dehao,A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems,Computing,68(2002),111-129.
  38. Du Qikui,Zhu Changjie,Natural boundary element method for initial boundary value problems of parabolic equation with an unbounded domain,Journal of Mathematics Research & Exposition,22:2(2002),177-188.
  39. Du Qikui,Evaluations of certain hypersingular integrals on interval,International Journal for Numerical Methods in Engineering,51:10(2001),1195-1210.
  40. Du Qikui,Yu Dehao,On the natural integral equation for initial boundary value problems of two dimensional hyperbolic equation,Acta Mathematica Applied Sinica,24:1(2001),17-26.(in Chinese)
  41. Zhao Lifeng,Du Qikui,A domain decomposition method based on natural boundary reduction for exterior wave problems,Mathematica Applicata,14:2(2001),8-12.(in Chinese)
  42. Du Qikui,Yu Dehao,Domain decomposition methods based on natural boundary reduction for wave equations,Chinese Journal of Computational Physics,18:5(2001),417-422.(in Chinese)
  43. Du Qikui,Yu Dehao,Natural boundary element method for elliptic boundary value problems in domains with concave angle,Journal of Marine Science and Technology,9:2(2001),75-83.
  44. Du Qikui,Yu Dehao,The coupled method based on natural boundary reduction for parabolic equation,Chinese Journal of Computational Physics,17:6(2000),593-601.(in Chinese)
  45. Du Qikui,Yu Dehao,Discretization of the coupling for nonlinear parabolic equation and its error analysis,Numerical Mathematics–A Journal Chinese Universities,22:2(2000),159-168.(in Chinese)
  46. Du Qikui,Yu Dehao,Discretization of the coupling of finite element and boundary integeral and its error analysis for parabolic initial boundary value problem,Mathematicae Numerica Sinica,21:2(1999),199-208.(in Chinese)
  47. Du Qikui,Yu Dehao,The natural integral equation for initial boundary value problems of parabolic equation and its numerical implementation,Mathematicae Numerica Sinica,21:4(1999),495-506.(in Chinese)
  48. Du Qikui,Yu Dehao,On a class of coupled variational formulation for a nonlinear parabolic equation,Northeast. Math. J.,15:3(1999),332-340.(in Chinese)
  49. Du Qikui,Finite element and boundary integral methods for heat-conduction equation,Numerical Mathematics–A Journal Chinese Universities,18:1(1996),17-18.(in Chinese)
  50. Du Qikui,Boundary element analysis for a class of multi-dimensional linear parabolic equation,Numerical Mathematics–A Journal Chinese Universities,4:1(1995),17-24.(in Chinese)

 

Books

  1. Computationl Methods,Beijing:Science Press,2007.
  2. The Mathematical Theory of Finite Element Methods,Beijing:Science Press,2012.
  3. Lectures of Mathematical Analysis (Ⅰ-Ⅱ),Beijing:Science Press,2012.
  4. Boundary Element Methods for Evolution Equations and Applications,Beijing:Science Press,2013.

 

Honors and Awards

  • The Excellent Teachers,Nanjing Normal University,2013.
  • Jiangsu Provincial Science and Technology Progress Award,2006.
  • The Natural Science Paper Prize of Nanjing City,2005.
  • The Excellent Party member of the Chinese Communist Party,Nanjing Normal University,2005.
  • The Hua Wei Prize,Chinese Academy of Sciences,1999.
  • The Excellent PhD,Institute of Computational Mathematics and Science / Engineering Computing,Chinese Academy of Sciences,1999.
  • The Excellent Teachers,Huaibei Coal Industry Normal College,1996.
  • The Excellent Young and Middle Age Teachers of Anhui Universities,1995.
  • The Excellent Party member of the Chinese Communist Party,Huaibei Coal Industry Normal College,1995.

 

Academic Title

● Professor of Nanjing Normal University Taizhou College.

 

Contact

Tel:+86-25-85898769

Email:duqikui@njnu.edu.cn