Ph.D in Computational Mathematics, Shanghai University, China. Bachelor in Mathematics, Hunan University of Science and Technology, China.

Transcription

1 Associate Professor Li-Lian Wang Curriculum Vitae Division of Mathematical Sciences, School of Physical & Mathematical Sciences, Nanyang Technological University, 21 Nanyang Link, , Singapore http: / Academic Qualifications April 2000 July 1995 Ph.D in Computational Mathematics, Shanghai University, China. Bachelor in Mathematics, Hunan University of Science and Technology, China. Employment History Mar Dec Feb Aug Nov Aug July 2003 July 2002 July 2000 Associate Professor, Nanyang Technological University, Singapore. Assistant Professor, Nanyang Technological University, Singapore. Visiting Assistant Professor, Purdue University, USA. Postdoctoral Research Associate, Purdue University, USA. Assistant Professor, Shanghai Normal University, China. Short-Term Visiting Positions June-July 2013 June-July 2007 June-July 2006 Visiting Professor, Beijing Computational Science Research Center, China. Visiting Scholar, Purdue University, USA. Visiting Scholar, Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, China. Awards 2010 SPMS Award for Excellence in Teaching, Nanyang Technological University 2010 SPMS Young Researcher Award, Nanyang Technological University 2003 Excellent Young Teacher of Shanghai Normal University, China Research Interest My research interest generally spans numerical analysis and scientific computing. The major research activities are centered around the design, analysis and implementation of high-order methods including spectral/spectral-element methods for partial differential equations (PDEs) arisen from science and engineering applications. My research also expands to variational and PDE-based image processing. My recent research largely focuses reside in that 1/11

2 (i) (ii) Nov Oct Mar Feb Feb Jan Mar Feb Dec Feb Dec Dec Feb Feb development of fast and accurate spectral/spectral-element solvers for acoustic, electromagnetic and matter wave simulations with applications to metamaterials including invisibility cloaks, nearly zero-index materials and photonic crystals; efficient spectral algorithms for fractional calculus with applications to abnormal diffusion. Research Grants Singapore MOE AcRF Tier 2 Grant (ARC 44/13), Fast simulation of high-frequency, multiscale acoustic and electromagnetic waves, PI: Wang Li-Lian, Co-PIs: Hoang Viet Ha and Tan Eng Leong, Total amount: S$415,500. Singapore MOE AcRF Tier 1 Grant (RG 15/12), Unstructured triangular spectralelement methods and their applications, PI: Wang Li-Lian, Total amount: S$74,950. Singapore A*Star, SERC PSF Grant (122-PSF-0007), Multiscale, high dimensional, stochastic Mathematics and computation of composites and metamaterials, PI: Hoang Viet Ha and Co-PI: Wang Li-Lian, Total amount: S$379,200. Singapore MOE AcRF Tier 1 Grant (RG 58/08), Fast spectral methods for scattering and high-dimensional problems, PI: Wang Li-Lian, Total amount: S$89,067. Singapore MOE AcRF Tier 2 Grant (T207B2202/ARC29/07), Image restoration, segmentation and registration using partial differential equations, PI: Tai Xue-Cheng. Co-PIs: Wang Desheng and Wang Li-Lian, Total amount: S$917, 630. Singapore National Research Foundation - IDM Joint R&D (NRF2007IDM- IDM ), Surface construction, compression and encoding for IDM applications, PI: Tai Xue-Cheng. Co-PIs: Chen Xin, Wang Desheng and Wang Li-Lian, Total amount: S$810, 600. NTU-Startup Grant, Development of efficient spectral methods for unbounded and exterior domains with applications to time-harmonic wave scattering, PI: Wang Li-Lian, Total amount: S$60,000. Graduate Students/Research Group 1. Master student: Johan Batubara [July 2006 July 2009] 2. Ph.D student: Zhang Jing [July 2007 June 2011] 3. Ph.D student: Gu Ying [July 2008 July 2012] 4. Ph.D student: Zhao Xiaodan [July 2009 June 2013] 5. Ph.D student: Michael Daniel Samson [January 2009 April 2014] 6. Ph.D student: Yang Zhiguo [July 2012 Present] 7. Research Fellow: Dr. Wang Bo [August 2014 August 2015] 8. Visiting PhD student: Dong Haixia [August 2014 August 2015] 9. Visitor: Prof. Jiao Yujian [September 2014 September 2015] 10. Visiting PhD student: Liu Wenjie [December 2014 December 2015] Professional Services 1. Member of Editorial Board: Journal of Mathematical Study, 2014 present. 2/11

3 Book/Special Issues 1. Jie Shen, Tao Tang and Li-Lian Wang. Spectral Methods: Algorithms, Analysis and Applications. Springer Series in Computational Mathematics, Volume 41, Springer, Guest Editor of the Special Issue on Spectral and High Order Methods, in the journal: Numerical Mathematics: Theory, Methods and Applications. Vol. 4, No. 2, Guest Editor of the Special Issue dedicated to Professor Benyu Guo s 70th Birthday in the journal: Communication on Applied Mathematics and Computation, Guest Editor of the Special Issue on Recent Advances on Spectral Methods and Their Applications in the journal: Journal of Mathematics Study, Papers published in refereed journals 63. Zhiguo Yang and Li-Lian Wang. Accurate simulation of circular and elliptic cylindrical invisibility cloaks. Communications in Computational Physics. Accepted, Lina Ma, Jie Shen and Li-Lian Wang. Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains. International Journal of Numerical Analysis and Modeling. Accepted, Yuying Shi, Ying Gu, Li-Lian Wang and Xuecheng Tai. A fast edge detection algorithm using binary labels. Inverse Problems and Imaging. Accepted, Li-Lian Wang, Michael Samson and Xiaodan Zhao. A well-conditioned collocation method using a pseudospectral integration matrix. SIAM Journal on Scientific Computing, Vol. 36(3), A907-A929, Li-Lian Wang, Jing Zhang and Zhimin Zhang. On hp-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. Journal of Computational Physics, Vol. 268, , Bo Wang and Li-Lian Wang. On L 2 -stability analysis of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. Journal of Mathematical Study, Vol. 1(1), 65-84, Jie Shen, Li-Lian Wang and Haijun Yu. Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. Journal of Computational and Applied Mathematics, Vol. 265, , Li-Lian Wang, Xiaodan Zhao and Zhimin Zhang. Superconvergence of Jacobi-Gauss-type spectral interpolation. Journal of Scientific Computing, Vol. 59(3), , Xiaodan Zhao, Li-Lian Wang and Ziqing Xie. Sharp error bounds for Jacobi expansions and Gegenbauer-Gauss quadrature of analytic functions. SIAM Journal on Numerical Analysis, Vol. 51(3), , Xiaodan Zhao and Li-Lian Wang. An efficient spectral-galerkin method for a waveguide problem in an infinite domain. Communication on Applied Mathematics and Computation (special issue dedicated to Prof. Benyu Guo s 70th Birthday), Vol. 27(1), , Ziqing Xie, Li-Lian Wang and Xiaodan Zhao. On exponential convergence of Gegenbauer interpolation and spectral differentiation. Mathematics of Computation. Vol. 82(282): , Lunji Song, Jing Zhang and Li-Lian Wang. A multi-domain spectral IPDG method for Helmholtz equation with high wave number. Journal of Computational Mathematics, Vol. 31, , /11

4 51. Zhijian Rong, Li-Lian Wang and Xue-Cheng Tai. Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. Advances in Computational Mathematics, 38(1): , Michael Samson, Huiyuan Li and Li-Lian Wang. A new triangular spectral element method I: implementation and analysis on a triangle. Numerical Algorithms, Vol. 64, , Li-Lian Wang, Bo Wang and Xiaodan Zhao. Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. SIAM Journal on Applied Mathematics, 72(6): , Ying Gu, Li-Lian Wang and Xue-Cheng Tai. A direct approach towards global minimization for multiphase labeling and segmentation problems. IEEE Transactions on Image Processing, 21(5): , Shuai Yin Zhang, He Ping, Ma and Li-Lian Wang. Legendre triangle spectral element method for an elliptic equation. J. Shanghai Univ. Nat. Sci., 18(3), , Yuying Shi, Li-Lian Wang and Xue-Cheng Tai. Geometry of total variation regularized L p -model. Journal of Computational and Applied Mathematics, 236: , Zhifeng Pang, Li-Lian Wang and Yufei Yang. Fast algorithms for the anisotropic LLT model in image denoising. East Asian Journal on Applied Mathematics, 1(3): , Jing Zhang and Li-Lian Wang. On spectral approximations by generalized Slepian functions. Numerical Mathematics: Theory, Methods and Applications, 4(2): , Li-Lian Wang and Jing Zhang. An improved estimate of PSWF approximation and approximation by Mathieu functions. Journal of Mathematical Analysis and Applications, 379(1):35-47, Li-Lian Wang and Ying Gu. Efficient dual algorithms for image segmentation using TV-Allen-Cahn type models. Communications in Computational Physics, 9(4): , Jing Zhang, Li-Lian Wang and Zhijian Rong. A prolate-element method for nonlinear PDEs on the sphere. Journal of Scientific Computing, 47(1):73-92, Jing Xu, Xue-Cheng Tai and Li-Lian Wang. A two-level domain decomposition method for image restoration. Inverse Problems and Imaging, 4(3): , Li-Lian Wang and Jing Zhang. A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids. Applied and Computational Harmonic Analysis, 29(3): , Jie Shen and Li-Lian Wang. Sparse spectral approximations of the high-dimensional problems based on hyperbolic cross. SIAM Journal on Numerical Analysis, 48(3): , Zhongqing Wang and Li-Lian Wang. A Legendre-Gauss collocation method for nonlinear delay differential equations. Discrete and Continuous Dynamical Systems-B, 13(3): , Huiyuan Li and Li-Lian Wang. A spectral method on tetrahedra using rational basis functions. International Journal of Numerical Analysis and Modeling, 7(2): , Zhongqing Wang and Li-Lian Wang. A collocation method with exact imposition of mixed boundary conditions. Journal of Scientific Computing, 42(2): , /11

5 34. Li-Lian Wang. Analysis of spectral approximations using prolate spheroidal wave functions. Mathematics of Computation, 79(270): , Li-Lian Wang and Benyu Guo. Interpolation approximation based on Gauss-Lobatto- Legendre-Birkhoff quadrature. Journal of Approximation Theory, 161(1): , Qirong Fang, Jie Shen and Li-Lian Wang. An efficient and accurate spectral method for acoustic scattering prolate spheroidal wave functions. Numerical Mathematics: Theory, Methods and Applications, 2(3): , Jie Shen, Li-Lian Wang and Huiyuan Li. A triangular spectral element method using fully tensorial rational basis functions. SIAM Journal on Numerical Analysis, 47(3): , Jie Shen and Li-Lian Wang. On spectral approximations in elliptic geometries using Mathieu functions. Mathematics of Computation, 78(266): , Jie Shen and Li-Lian Wang. Some recent advances in spectral methods for unbounded domains. Communications in Computational Physics, 5(2-4): , Benyu Guo, Jie Shen and Li-Lian Wang. Generalized Jacobi polynomials/functions and their applications. Applied Numerical Mathematics, 59(5): , Benyu Guo, Zhongqing Wang, Hongjiong Tian and Li-Lian Wang. Integration process of ordinary differential equations based on Laguerre-Radau interpolations. Mathematics of Computation, 77(261): , Jie Shen and Li-Lian Wang. Analysis of a spectral-galerkin approximation to the Helmholtz equation in exterior domains. SIAM Journal on Numerical Analysis, 45(5): , Jie Shen and Li-Lian Wang. Legendre and Chebyshev dual-petrov-galerkin methods for hyperbolic equations. Computer Methods in Applied Mechanics and Engineering, 196(37-40): , Jie Shen and Li-Lian Wang. Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Applied Numerical Mathematics, 57(5-7): , Benyu Guo and Li-Lian Wang. Error analysis of spectral method on a triangle. Advances in Computational Mathematics, 26(4): , Jie Shen and Li-Lian Wang. Laguerre and composite Legendre-Laguerre dual-petrov- Galerkin methods for third-order equations. Discrete and Continuous Dynamical Systems- B, 6(6): , Li-Lian Wang and Benyu Guo. Stair Laguerre pseudospectral method for differential equations on the half line. Advances in Computational Mathematics, 25(1): , Benyu Guo, Jie Shen and Li-Lian Wang. Optimal spectral-galerkin methods using generalized Jacobi polynomials. Journal of Scientific Computing, 27(1-3): , Benyu Guo, Li-Lian Wang and Zhong-qing Wang. Generalized Laguerre interpolation and pseudospectral method for unbounded domains. SIAM Journal on Numerical Analysis, 43(6): , Benyu Guo and Li-Lian Wang. Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Journal of Computational and Applied Mathematics, 190(1-2): , Li-Lian Wang and Benyu Guo. Mixed Fourier-Jacobi spectral method. Journal of Mathematical Analysis and Applications, 315(1):8-28, /11

6 16. Jie Shen and Li-Lian Wang. Spectral approximation of the Helmholtz equation with high wave numbers. SIAM Journal on Numerical Analysis, 43(2): , Li-Lian Wang and Jie Shen. Error analysis for mapped Jacobi spectral methods. Journal of Scientific Computing, 24(2): , Benyu Guo and Li-Lian Wang. Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Journal of Approximation Theory, 128(1):1-41, Jie Shen and Li-Lian Wang. Error analysis for mapped Legendre spectral and pseudospectral methods. SIAM Journal on Numerical Analysis, 42(1): , Li-Lian Wang and Benyu Guo. Non-isotropic Jacobi spectral methods for unbounded domains. Numerical Mathematics: Journal of Chinese University, English Series, 13(2): , Li-Lian Wang and Benyu Guo. Jacobi spectral methods for multiple -dimensional singular differential equations. Journal of Computational Mathematics, 21(3): , Zhongqing Wang, Li-Lian Wang and Benyu Guo. A rational spectral method for singular differential equations. Numerical Mathematics: Journal of Chinese University, English Series, 12(2): , Benyu Guo and Li-Lian Wang. Non-isotropic Jacobi spectral method. Contemporary Math., 329: , Li-Lian Wang. Jacobi pseudospectral methods for the Klein-Godorn equation on the half line. Journal of Shanghai Normal University, 31(4):1-7, Li-Lian Wang, Benyu Guo and Zhongqing Wang. A generalized Gauss-type quadrature formula and its applications to pseudospectral method. Numerical Mathematics: Journal of Chinese University English Series, 11(2): , Benyu Guo and Li-Lian Wang. Jacobi interpolation approximations and their applications to singular differential equations. Advances in Computational Mathematics, 14(3): , Liansheng Zhang, Mengjie Xu and Li-Lian Wang. An algorithm for global minimization based on discrete mean values and level sets. Journal of Systems Science and Mathematical Sciences (in Chinese), 21(2): , Debin Huang, Zengrong Liu and Li-Lian Wang. A family of interesting exact solutions of sine-gordon equation. Chinese Physics Letter, 1:1-3, Li-Lian Wang, Mengjie Xu and Panlin Li. Numerical methods for solving a hydrodynamical system of equations including quark flavor effect. Chinese Journal of Computational Physics, 1:94-98, Panlin Li, Li-Lian Wang and Xu Mengjie. J/Ψ suppression and Quark flavor kinetics. Chinese Physics Letter, 6: , Panlin Li, Li-Lian Wang and Mengjie Xu. Calculation of the productive dilepton spectrum (M <= 4GeV/c(2)) in U-238+U-238 collisions at E-c, E-m approximation to 200GeV/u, High Energy Physics and Nuclear Physics, 23(7): , Manuscripts under Review/Revision 1. Sheng Chen, Jie Shen and Li-Lian Wang. Generalized Jacobi functions and their applications to fractional differential equations. Submitted to Math. Comp., /11

7 2 Peijun Li, Li-Lian Wang and Aihua Wood. Analysis of transient electromagnetic scattering from three dimensional cavities. Submitted to SIAM Journal on Applied Mathemtics, Huibin Chang, Xuecheng Tai, Li-Lian Wang and Danping Yang. Convergence rate analysis of overlapping domain decomposition methods for the ROF model based on a dual formulation. Submitted to SIAM Journal on Imaging Sciences, Under 2nd revision. Conference Publications/Contributed Posters 8. Ying Gu, Li-Lian Wang, Wei Xiong, Jierong Cheng, Weimin Huang and Jiayin Zhou. A New Approach for Multiphase Piecewise Smooth Image Segmentation. IEEE International Conference on Image Processing (ICIP 2014), October 27-30, 2014, Paris, France. 7. Ying Gu, Li-Lian Wang, Wei Xiong, Jierong Cheng, Weimin Huang and Jiayin Zhou. Efficient and robust image segmentation with a new piecewise-smooth decomposition model. IEEE International Conference on Image Processing (ICIP 2013), September 15-18, 2013, Melbourne, Australia. 6. Xiaodan Zhao and Li-Lian Wang. Fast and accurate computation of exact nonreflecting boundary condition for Maxwell s equations. Accepted by the conference: The 29th International Review of Progress in Applied and Computational Electromagnetics (ACES2013), Li-Lian Wang, Yuying Shi and Xue-Cheng Tai. Robust edge detection using Mumford- Shah model and binary level set method. Accepted by the Proceeding of International Conference on Scale Space and Variational Methods in Computer Vision (SSVM2011, 29 May-2 June, 2011, Ein Gedi Resort, Dead Sea, Israel) in Lecture Notes in Computational Sciences, Springer, Youyun Li, Li-Lian Wang, Huiyuan Li and Heping Ma. A new spectral method on triangles, pp , in Spectral and High Order Methods for Partial Differential Equations, Lecture Notes in Computational Sciences and Engineering 76, Springer-Verlag, Berlin Heidelberg, Contributed poster for International Conference on Advances in Partial Differential Equations and Their Applications, Fudan University, Shanghai, China. May 31-June 4, Contributed poster for IMA workshop Future Challenges in Multiscale Modelling and Simulations, University of Minnesota, USA. November 18-20, Li-Lian Wang and Benyu Guo. Pseudospectral method based on the Gauss-Birkhoff quadrature formula. Proceeding of the sixth conference of China Society for Industrial and Applied Mathematics, Eds. Li Daqian, Zhang Xiangsun and Yuan Yaxiang, Research Information Ltd, pp , Organization of Conferences/Workshops/Special Sessions 9. Co-organizer of the mini-symposium High-order methods and their applications" of the 9th International Conference on Computational Physics (ICCP9). Singapore. January 7-11, Co-organizer of the NTU-SNU Joint Workshop on Mathematics and Applications. Nanyang Technological University, Singapore. October 3-5, Co-organizer of the mini-symposium Some recent advances in spectral methods and their applications" of the International Conference on Spectral and High-order Methods, Tunisia, June 25-29, /11

8 6. Publicity Chair of the 9th International Conference on Sampling Theory and Applications, Nanyang Technological University, Singapore. May 2-6, Member of organizing committee for IMI International Workshop on Computational Photography and Aesthetics", Nanyang Technological University, Singapore. December 12-13, Co-organizer of the mini-symposium Some recent advances in spectral methods and their applications" of the International Conference on Applied Analysis and Scientific Computation. Shanghai, China. June 25-28, Co-organizer of the mini-symposium High-order methods for linear and nonlinear wave equations" of the International Conference on Spectral and High-Order Methods. Trondheim, Norway. June 22-26, Co-organizer of the mini-symposium Development and analysis of efficient high-order methods for PDEs" of the International Conference On Spectral and High Order Methods. Beijing, China. June 18-22, Member of the local organizing committee for the International Conference Multiscale analysis and applications". Nanyang Technological University, Singapore. December 18-22, Invited Presentations at Scientific Conferences/Workshops 38. Invited speaker of the High Performance and Parallel Computing for Materials Defects and Multiphase Flows, IMS, Singapore, 1 January - 31 March Invited speaker of the mini-symposium: High-order Methods for Their Applications in the 9th International Conference on Computational Physics (ICCP9). Singapore, January 1-7, Invited speaker of the mini-symposium: Spectral Methods for Fractional Differential Equations in the International Conference on Spectral and High Order Methods (ICOSA- HOM2014). Salt Lake City, Utah, USA, June 23-27, Invited speaker of the International Workshop on the Finite Element/Spectral Methods (IWFSM2014). Shanghai Normal University, Shanghai, China, May 16-18, Invited speaker of the Invited Workshop 3 Numerical Methods for Wave Propagations in the Second International Conference on Engineering and Computational Mathematics (ECM2013), Hong Kong, December 16-18, Invited speaker of the International Workshop on High-Dimensional Data Approximation. Sun Yat-sen University, Guangzhou, China. November 16-17, Invited speaker of the Fourth Workshop on Advances in Spectral Methods and Applications. Xiamen University, China. November 2-4, Invited speaker of the NTU-SNU Joint Workshop on Mathematics and Applications. Nanyang Technological University, Singapore. October 3-5, Invited speaker of a special session in The Second International Conference on Interdisciplinary Applied and Computational Mathematics, Zhejiang University, China, June, Invited speaker of the International Conference on Partial Differential Equations and Large Scale Scientific Computational Methods, Jiangsu Normal University, China, June 7-10, /11

9 28. Invited speaker of a mini-symposium: Numerical Methods and Analysis for Nonlinear Dispersive Equations and Applications at the SIAM Conferences on Computational Science and Engineering (CSE2013), Boston, Massachusetts, USA, February 25-March 1, Invited speaker of the International Symposium on Frontiers of Computational Mathematics, Guangzhou, China, December 5-8, Invited speaker of the NTU-Novosibirsk State University Mini-Workshop on PDE and Numerical Analysis, NTU/SPMS/MAS, Singapore, November 19, Invited speaker of the International Conference on Mathematical Modeling, Analysis and Computation, Xiamen, China, July 21-25, Invited speaker of the International Conference on Computational Sciences, Shanghai, China, July 16-20, Invited speaker of a mini-symposium of the International Conference on Spectral and High-Order Methods, Tunisia, June 25-29, Invited speaker of the 2nd International Conference on Scientific Computing (ICSC12), Nanjing, China, May 22-25, Invited speaker of a special session at the 7th International Congress on Industrial and Applied Mathematics (ICIAM 2011), Vancouver, BC, Canada. July 18-22, Invited speaker of the Third Workshop on Recent Advances on Spectral Methods and Related Applications. Shanghai Normal University, Shanghai, China. July 14-17, Invited speaker of a Mini-Workshop on Mathematical Modeling and Numerical Computations, Xiamen University, China, July 14, Invited speaker of the International Conference on Mathematical Methods for Imaging. Sun Yat-Sen University, Guangzhou, China. August 4-6, Invited speaker of the First Cross-straits Conference on Computational Mathematics, Xiamen University, Fujian, China. August 3-6, Invited speaker of the Workshop on Numerical Methods for PDEs. Sun Yat-Sen University, Guangzhou, China. July 28-31, Invited speaker of a special session at the Joint Meeting of Mathematical Association of America (MAA) and AMS. San Francisco, CA, USA. January 13-16, Invited speaker of the International Conference on Sparse Representation of Multiscale Data and Image: Theory and Applications. Nanyang Technological University, Singapore. December 14-17, Invited speaker of the International Conference on Partial Differential Equations and Numerical Analysis. Mianyang, Sichuan, China. August 20-26, Invited talk for a special session at the International Conference on Applied Analysis and Scientific Computation. Shanghai, China. June 25-28, Invited speaker of a min-symposium at the International Conference on Spectral and High-Order Methods (ICOSAHOM09). Trondheim, Norway. June 22-26, The 3rd Workshop on High-Dimensional Approximation. University of New South Wales, Sydney, Australia. February 16-20, Invited talk for a special session at the International Conference on Approximation in Scientific Computing (ICASC 08). Beijing, China. October 26-30, Invited speaker of the Workshop on Recent Advances in Spectral Methods and Applications, WuYi Mountain, Fujian, China. May 29-31, /11

10 7. Invited speaker of a mini-symposium at the International Conference on Spectral and High-Order Methods (ICOSAHOM07). Beijing, China. June 18-22, Invited speaker of the Workshop on Recent Advances in Spectral Methods and Related Applications. Xiamen University, China. June 14-16, Invited speaker of the International Conference on Multi-scale Analysis and Applications. Nanyang Technological University, Singapore. December 18-22, Invited speaker of a special session at the 8th US National Congress on Computational Mechanics. University of Texas at Austin, Texas. July 24-28, AMS Meeting. Northwestern University, USA. August 24-25, International Conference on Spectral and High-Order Methods (ICOSAHOM04). Brown University, USA. June 21-25, Finite Element Circus, University of Pittsburgh, USA. April 16-17, Invited Seminar Talks 27. School of Mathematical Sciences, Xiamen University, Fujian, China, May Department of Mathematics, Hunan Normal University, Hunan, China, November Department of Mathematics, Shanghai University, China, July Department of Mathematics, Shanghai Normal University, China, July Beijing Computational Science Research Center, China, July School of Mathematical Sciences, South China Normal University, Guangzhou, China, December Beijing Computational Science Research Center, China, November Laboratory of Parallel Computing Institute of Software Chinese Academy of Sciences, Beijing, China, November Department of Mathematics and Physics, North China Electric Power University, Beijing, China, November Department of Mathematics, Hunan University, China, June Department of Mathematics, Central South University, China, June Department of Mathematics, National University of Singapore, April Department of Mathematics, Hunan Normal University, China. June Department of Mathematics, Shanghai University, China. May Department of Mathematics, Hunan University, China. January Department of Mathematics, Hunan University of Science and Technology, China. December Department of Mathematics, Hunan Normal University, China. December Department of Mathematics, ZhongShan University, China. August Department of Mathematics, Xinjiang University, China. July Department of Mathematics, East China Normal University, Shanghai, China. June Department of Mathematics, Shanghai University, China. June Department of Mathematics, Shanghai Normal University, China. July Department of Mathematics, Shanghai University, China. July Department of Mathematics, Hunan University, China. June /11

11 3. Department of Mathematics, Hunan Normal University, China. June Department of Mathematics, Shanghai University, China. April Department of Mathematics, National University of Singapore. March /11