段勇

2012.04 - 2013.04 Duke 大學物理系, 數學系訪問 (合作導師：劉建國教授)。

2000.09 - 2005.07 復旦大學數學研究所。

1990.09 - 1994.07西南大學數學系。

[1]. 段勇，黃廷祝，傅英定，淺談數學建模思想在大學數學教學中的應用,中國大學教學，2007。

[2]. 段勇，黃廷祝，將數學建模思想融入線性代數課程教學,中國大學教學，2009。

[3]. 段勇，黃廷祝，高建，從微積分談研究型教學,第六屆大學數學課程報告, 2010。

[4]. 段勇，黃廷祝，李良，關於工科大學數學專業畢業設計的幾點思考，大學數學。

[5]. 段勇，實變函數課程的幾點總結。

[6]. 段勇， 關於MOOC。

^[1] 

主要方向是偏微分方程。

[1]. Akhmouch, R, Naji, A, Duan,Y. A meshless GBNM using CSRBFs for the MHD equations。

[2]. Duan, Y. A vortex methods for Maxwell equations ?

[3]. Duan Y, Meshless Vector RBFs Methods for Transient Electromagnetic Computations。

[4]. P Zhang, Duan,Y, MQQI scheme for higher-dimensional EP equations. In preparation。

[5]. P Zhang, Duan,Y, Convergence analysis of MQQI scheme for a class of shallow water wave equations. In preparation。

[6]. HY Wu , Duan,Y, A numerical investigation for the Camassa-Holm Equation by Multi-quadric Quasi-Interpolation Methods. Applicable Analysis。

[7]. ZQ Xing, Duan,Y, YM Zheng, A numerical scheme for spatial fractional differential equations by RBFs. 2017 8(1):6-15, JFCA。

[8]. HY Wu, Duan, Y, Multi-quadric Quasi-Interpolation methods Coupled with FDM for the Degasperis-Procesi Equation. Appl. Math. Comput. 274(2016): 83-92. SCI.(Impact 1.43)。

[9]. Duan,Y, JG Liu, Error estimates of the particle method for the b-equations. Methods and Applications of Analysis. 23(2016): 119-154。

[10]. Duan, Y, JG Liu, Convergence Analysis of the Vortex Blob method for the b-Equation.Discrete and Continuous Dynamical System-A, 34( 5), 1995-2011, 2014 , SCI.(Impact 1.22)（Top 期刊）。

[11]. Duan,Y, F Rong, A numerical scheme for nonlinear Schrodinger equation by MQ quasi-interpolation. Engn.Anal.Bound.Elem, 37 (2013) 89–94., SCI.(Impact 1.86)。

[12]. Duan,Y, YC Hon, Zhao, W, Stability estimate on meshless unsymmetric collocation method for solving boundary value problems. Engn.Anal.Bound.Elem, 37 (2013) :666–672 , SCI.(Impact 1.86)。

[13]. Duan,Y, YM Zheng, PP Zeng, Convergence estimate of the RBF-based meshless method for initial-boundary value problem of wave equations. Engn. Anal. Bound. Elem,36(2012): 303-309., SCI. (Impact 1.86)

[14]. SJ Lai, BZ Wang, Duan, Y, Meshless Radial Basis Functions Method for Solving Hallen Integral Equation, ACES Journal-Applied Computational Electro-magnetics Society , 2012 EI。

[15]. Fili, A, Naji,A, Duan,Y, Solving electrostatic problems by using three-field domain decomposition method and radial basis functions. Int.J.Comput.Meth.Engn。

Sci.Mech. 12:75–83, 2011, EI。

[16]. SJ Lai, BZ Wang, Duan,Y, Eigenvalue Analysis of Spherical Resonant Cavity Using Radial Basis Functions, Progress In Electro-magnetics Research Letters, 2011, EI。

[17]. Fili.A, Naji,A, Duan,Y, Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions.J Comput. Appl. Math, 234, 2010, SCI.(Impact 1.29)。

[18]. YF Jing, TZ Huang, Duan, Y, SJ Lai, J Huang, A Novel Integration Method for Weak Singularity Arising in Two-Dimensional Scattering Problems.IEEE Trans. Antennas and Propagation, 58, 2010, SCI, (Impact 2.05)（Top 期刊）。

[19]. YF Jing, TZ Huang, Duan,Y, Carpentieri Bruno, A comparative study of iterative solutions to linear systems arising in quantum mechanics, J Comput Phys , 2010,SCI, (Impact 2.56) （Top 期刊）。

[20]. SJ Lai, BZ Wang, Duan,Y, Solving Helmholtz equation by meshless radial basis functions method,Progress In Electromagnetics Research B, 2010. EI。

[21]. Duan,Y, PF Tang, TZ Huang, A novel domain decomposition method for highly oscillating partial differential equations. Engn. Anal. Bound. Elem, 33 (2009) 1284– 1288 , SCI. (Impact 1.86)。

[22]. Duan,Y, PF Tang, SJ Lai, TZ Huang, Coupling projection domain decomposition method and Kansa method in electrostatic problems. Comput. Phys.Comm 180 (2009) 209–214 .SCI. (Impact 3.63)（Top 期刊）。

[23]. Duan, Y, TZ Huang, SJ Lai, Coupling projection domain decomposition and meshless collocation method using radial basis functions in electro-magnetics. Progress In Electromagnetics Research Letters, 5, 1–12,2008, EI。

[24]. SJ Lai, BZ Wang, Duan,Y, Meshless Radial Basis Function Method for Transient Electromagnetic Computations. IEEE Trans. on Magnetics, 44, 2008, SCI.(Impact 1.27)（Top 期刊）。

[25], Duan, Y, A note on meshless methods using radial basis functions, Comput. Math. Applic. 55(2008) 66-75, SCI. (Impact 1.35)。

[26]. Duan, Y. Meshless Galerkin methods using radial basis functions based on domain decomposition. Appl. Math. Comput. 2006. SCI. (Impact 1.43)。

[27]. Duan,Y, YJ Tan, On condition number of meshless collocation method using radial basis functions. Appl. Math. Comput, 2006 SCI.(Impact 1.43)。

[28]. Duan,Y, YJ Tan, A meshless Galerkin method for Dirichlet problems using radial basis functions. J Comput. Appl. Math,2006 SCI.(Impact 1.29)。

[29]. Duan,Y. YJ Tan, Meshless Galerkin methods based on regions partitioned into subdomains. Appl. Math. Comput, 2005. SCI. (Impact 1.43)。

[30]. Duan,Y, YJ. Tan, Meshless collocation method based on Dirichlet–Neumann substructure iteration. Appl. Math.Comput, 2005, SCI. (Impact 1.43).

[1] 青年博士學科平台建設項目，偏微分方程的無網格方法的理論和應用，2005.12-2007.12（主持）。

[2] 電子科技大學青年科技基金，計算電磁學中的無網格方法，2007.1－2008.12（主持）。

[3] 國家自然科學基金面上項目，徑向基函數無網格方法的一些關鍵問題及電磁應用(I)，2012.01-2015.12（主持）(NSFC 11171054)。

[4] 中央高校基金，2012.1-2014.12（主持）。

[5] 矢量基函數插值的一些關鍵問題及物理應用(II)。(RBF-VORTEX)。