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林平
林平
国家千人计划入选者、教授、博士生导师

姓  名: 林平
性  别:
技术职称: 国家千人计划入选者、教授、博士生导师
所在系所: 应用数学研究所
所在梯队: 偏微分方程计算及应用梯队
研究领域: 计算与应用数学,偏微分方程数值解及其应用,涵盖计算流体和传热,计算物理,材料原子/连续耦合多尺度模型分析,生物、医学科学中的计算问题等。

简历

主要教育背景(Higher Education):
1991-1995, 应用数学专业博士, 不列颠哥伦比亚大学,加拿大
PhD in Applied Mathematics, University of British Columbia, Canada
 1984-1987, 应用数学专业硕士, 南京大学, 中国
MSc in Applied Mathematics, Nanjing University, China.
 1980-1984,数学专业,理学学士, 南京大学, 中国
BSc in Mathematics, Nanjing University, China


主要工作经历(Experience):
2007年-至今, 英国,邓迪大学理工学院,数值分析讲座教授
Chair (Professor) of Numerical Analysis, School of Engineering, Physics and Mathematics, University of Dundee
 2002-2005, 新加坡,高性能计算研究院,兼职研究员
Faculty associate, Inst for High Performance Computing, Singapore
 1998-2008, 新加坡,新加坡国立大学数学系,助理教授/副教授/教授
Assistant Prof/Associate Prof/Professor, Dept of Math, National U of Singapore
 1998.8-1998.12, 美国,伦斯勒理工学院计算机科学系,博士后研究员
Research Associate, Dept of Computer Sci, Rensselaer Polytechnic Institute, USA
 1996-1998, 美国,斯坦福大学科学计算与计算数学 (SCCM) 以及应用力学,博士后研究员
Postdoc Fellow, Program in Scientific Computing and Computational Math (SCCM) and Div of Appl Mech, Stanford Univ
 1996.1-1996.8, 加拿大,不列颠哥伦比亚大学数学系,博士后讲师
Postdoc instructor, Dept of Math, University of British Columbia, Canada
 1987-1990, 中国,南京大学数学系,讲师
Instructor, Dept of Math, Nanjing University, China 
 
代表性论文论著 :
一)著作
 申请人主编和参编著作各两部,具体如下:
1. BC Khoo, Z Li and P Lin (eds.), Moving Interface Problems and Applications in Fluid Dynamics, Contemporary Mathematics Volume 466, American Math Society, 2008, 200 pages.
 2. BC Khoo, Z Li and P Lin (eds.), Interface Problems and Methods in Biological and Physical Flows: atutorial, IMS Lecture Notes Series, World Scientific, to appear.
 Papers in book:
 1. Y. Feng, P. Lin and B. Xiao, Optimal airline booking control with cancellation, in Stochastic Modeling and Optimization with applications in queues, finance, and supply chains, edited by David D Yao et al, 395-427, Springer, New York, 2003.
 2. R. Vulanović, P. Farrell and P. Lin, Numerical solution of nonlinear singular perturbation problems modeling chemical reactions, Chapter 9 in Advanced Computational Methods for Boundary and Interior Layers, Vol.2, edited by J.J.H. Miller, Boole Press, Dublin, 1993. 他引6次
 二)期刊论文
 申请人目前已有49篇论文(含接受2篇)在SIAM J Numer Anal, Math of Comp, SIAM J Sci Comput, JComp Phys等数值分析和科学计算领域顶级杂志发表,其中,发表SCI刊物42篇,接受SCI刊物2篇。另新投稿2篇。具体文章目录如下:
1. JS Hua, P Lin, C Liu and Q Wang, Energy law preserving C0 finite element schemes for a couple of phase field models in two-phase flow computations, submitted. 他引1次
2. X.L. Lu and P Lin, Error estimate of the nonconforming P1 finite element method for the penalized Navier-Stokes equations, submitted.
 3. AV Shapeev and P Lin, An asymptotic fitting finite element method for accurate computation of eddies in viscous fluid flow in domains with corners, SIAM J Sci Comput, to appear. (SCI) IF: 1.459
 4. G. Chen, Z. Li and P. Lin, A fast finite difference method for biharmonic equations on irregular domains, Advances in Computational Math., to appear. 他引2次 (SCI) IF: 0.696
 5. HY Duan, F Jia, P Lin and RCE Tan, The local L2 projected C0 finite element method for Maxwell problem, SIAM J Numer Anal 47 (2009), No 2, pp. 1274-1303. (SCI) IF: 1.152
 6. R Glowinski, P Lin and XB Pan, A three-stage operator-splitting/finite element method for the numerical simulation of liquid crystal flow, International Journal of Numerical Analysis and Modeling 6(2009), No 3, pp. 440-454.
 (SCI) IF: 1.212
 7. P Lin, JG Liu and XL Lu, Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation, SIAM J Sci Comput 31 (2008), No 1, pp 398-419. (SCI) IF: 1.459
 8. XL Lu, P Lin and JG Liu, Analysis of a sequential regularization method for the unsteady Navier-Stokes equations, Math of Comput 77 (2008), No 263, 1467-1494. (SCI) IF: 1.321
 9. JS Hua, P Lin and JF Stene, Numerical simulation of gas bubbles rising in viscouss liquids at high Reynolds number, Contemporary Mathematics 466 (Interface Problems and Applications in Fluid Dynamics), AMS, 2008, pp 17-34.
 10. JS Hua, JF Stene and P Lin, Numerical Simulation of 3D Bubbles Rising in Viscous Liquids using aFront Tracking Method, J Comput Phys 227 (2008), No 6, 3358-3382. 他引1次 (SCI) IF: 2.279
 11. P Lin, JJH Miller and GI Shishkin, Analytic and experimental studies of the errors in numerical methods for the valuation of options, Numer Math: Theory, Methods and Applications (special issue dedicated to the 80th birthday of Professor Su Yucheng), Vol 1(2008), No 2, 150-164.
 12. P Lin and P Plechac, Numerical studies of a coarse-grained approximation for dynamics of an atomic chain, International Journal for Multiscale Computational Engineering 5 (2007), No 5, 351-367. (SCI) IF: 0.679
 13. P Lin, C Liu and H Zhang, An energy law preserving C0 finite element scheme for simulating the kinematic effects in liquid crystal flow dynamics, J Comput Phys 227 (2007), No 2, 1411-1427.
他引2次 (SCI) IF: 2.372
 14. HY Duan, P Lin, P Saikrishnan and RCE Tan, A least squares finite element method for the magnetostatic problem in a multiply-connected Lipschitz domain, SIAM J Numer Anal 45 (2007), No 6,2537-2563. (SCI) IF: 1.470
 15. H Huang, P Lin and WB Zhou, Moisture transport and diffusive instability during bread baking, SIAM J Appl Math 68 (2007), No 1, 222-238. 他引1次 (SCI) IF: 1.026
 16. D Krishnan, P Lin and AM Yip, A primal-dual active-set method for non-negativity constrained total variation deblurring problems, IEEE Transactions on Image Processing 16 (2007), No. 11, 2766-2777.
他引3次 (SCI) IF: 2.462
 17. P Lin, Convergence analysis of a quasi-continuum approximation for a two-dimensional material, SIAM J Numer Anal 45 (2007), No 1, 313-332. 他引19次 (SCI) IF: 1.470
 18. X.-C. Tai, O Christiansen, P Lin and I Skjaelaaen, Image segmentation using some piecewise constant level set methods with MBO type of project, International Journal of Computer Vision 73 (2007), No 1, 61-76.
他引12次 (SCI) IF: 3.381
 19. P Lin and T Richter, An adaptive homotopy multi-grid method for molecule orientations of high dimensional liquid crystals, J of Comput Phys 225 (2007), No 2, 2069-2082. . (SCI) IF: 2.372
 20. KW Liang, P Lin and RCE Tan, Numerical solution of quenching problems using mesh-dependent variable temporal steps, Applied Numer Math 57 (2007), No 5-7, 791-800. 他引4次 (SCI) IF: 0.986
 21. D Krishnan, P Lin and XC Tai, An efficient operator-splitting method for noise removal in images, Communication in Computational Physics 1 (2006), no 5, 847-858. 他引4次 (SCI) IF: 1.633
 22. H.Y. Duan, P. Lin, S. Ponnaiah and R.E.C. Tan, L2-projected least-squares finite element methods for the Stokes equations, SIAM J Numer Anal 44 (2006), no 2, 732-752. (SCI) IF: 1.335
 23. P. Lin and C. Liu, Simulations of singularity dynamics in liquid crystal flows: a C0 finite element approach, J. Comput. Phys 215 (2006), no 1, 348-362. 他引1次 (SCI) IF: 2.328
 24. K.W. Liang, P. Lin, M.Z. Ong and R. Tan, A splitting moving mesh method for reaction-diffusion equations of quenching type, J. Comput. Phys 215 (2006), no 2, 757-777. (SCI) IF: 2.328
 25. K.W. Liang and P. Lin, A splitting moving mesh method for 3-D quenching and blow-up problems, Contemporary Mathematics 383, Recent Advances in Adaptive Methods, AMS, 2005, 355-369. 他引1次
26. S.N. Chow, P. Lin and S.Y. Shi, Spike solutions of a nonlinear electric circuit with a periodic input, Taiwanese Journal of Mathematics, Vol 9 (2005), No 4, 551-581. (SCI) IF: 0.312
 27. P. Lin, X.Q. Chen and M. T. Ong, Finite element methods based on a new formulation for the nonstationary incompressible Navier-Stokes equations, Int. J. Num. Meth. Fluids 46 (2004), 1169-1180. (SCI) IF: 0.476
 28. P. Lin and R.E. O'Malley, The numerical solution of a challenging class of turning point problems, SIAM J. Sci. Comput. 25 (2003), 927-941. (SCI) IF: 1.379
 29. H. Cheng, P. Lin, Q. Sheng and R. Tan, Solving degenerate reaction-diffusion equations via variable step Peaceman-Rachford splitting, SIAM J. Sci. Comput. 25 (2003), 1273-1292. 他引9次 (SCI) IF: 1.379
 30. R. Glowinski, P. Lin and X.-B. Pan, An operator-splitting method for a liquid crystal model, Comp.Phys. Com. 152 (2003), 242-252. 他引4次 (SCI) IF: 1.170
 31. P. Lin, Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model, Math of Comput. 72 (2003), 657-675. 他引20次 (SCI) IF: 1.074
 32. P. Lin, Q.P. Guo and X.Q. Chen, A fully explicit method for incompressible flow computation, Comput. Methods Appl. Mech. Engrg. 192/22-24 (2003), 2555-2564. 他引3次 (SCI) IF: 1.252
 33. P. Lin and C.-W. Shu, Numerical solution of a virtual internal bond model for material fracture, Physica D 2912 (2002), 1-21. 他引2次 (SCI) IF: 4.358
 34. P. Lin and Raymond Spiteri, Analysis of a predicted sequential regularization method, SIAM J. Numer. Anal. 39 (2002), 1889-1913. (SCI) IF: 1.374
 35. J.G. Wang, G.R. Liu and P. Lin, Numerical analysis of Biot's consolidation process by radial point interpolation method, Int. J. Solids and Struct. 39 (2002), 1557-1573. 他引61次 (SCI) IF: 1.08
 36. G.J. Reid, P. Lin and A.D. Wittkopf, Differential elimination-completion algorithms for DAEs and PDAEs, Studies in Applied Math 106 (2001), No. 1, 1-45. 他引37次 (SCI) IF: 0.696
 37. U. Ascher and P. Lin, Sequential regularization methods for simulating mechanical systems with many closed loops, SIAM J. Sci. Comput. 21 (2000), No. 4, 1244-1262. 他引12次 (SCI) IF: 1.421
 38. P. Lin and D. Yang, An iterative perturbation method for the pressure equation in the simulation of miscible displacement in porous media, SIAM J. Sci. Comput. 19 (1998), No. 3, 893-911. 他引7次 (SCI) IF: 1.378
 39. U. Ascher and P. Lin, Sequential regularization methods for nonlinear higher index differential-algebraic equations, SIAM J. Sci. Comput. 18 (1997), No. 1, 160-181. 他引30次 (SCI) IF: 0.980
 40. P. Lin, A sequential regularization method for time-dependent incompressible Navier-Stokes equations, SIAM J. Numer. Anal. 34 (1997), No. 3, 1051-1071. 他引15次 (SCI) IF: 0.938
 41. U. Ascher and P. Lin, Sequential regularization methods for higher index DAEs with constraint singularities: Linear index-2 case, SIAM J. Numer. Anal. 33 (1996), 1921-1940. 他引19次 (SCI)
 42. P. Lin, A note on a mildly nonlinear turning point problem, Applied Math. letters 6 (1993),29-32. (SCI)
 43. R. Vulanović and P. Lin, Numerical solution of quasilinear attractive turning point problems, Computers Math. Applic. 23 (1992), no.12, 75-82. 他引4次 (SCI)
 44. P. Lin, A numerical method for quasilinear singular perturbation problems with turning points, Computing 46 (1991), 155-164. 他引4次 (SCI)
 45. Y. Su and P. Lin, An exponentially fitted difference scheme for the hyperbolic-hyperbolic singularly perturbed initial-boundary value problem, Applied Math.Mech.(English Ed.) 12 (1991), no.3, 237-245. (SCI)
 46. P. Lin, Numerical solution to singularly perturbed nonlinear second-order ordinary differential equations, Acta mathematica Scientia, 11 (1991), no. 3, 247-253. (SCI)
 47. Y. Su and P. Lin, Numerical solution of the singularly perturbed problem for the hyperbolic equation with initial jump, Applied Math.Mech.(English Ed.) 11 (1990), no.8, 709-721. (SCI)
 48. Y. Su and P. Lin, Uniform difference scheme for a singularly perturbed linear 2nd order hyperbolic problem with zeroth order reduced equation, Applied Math.Mech.(English Ed.) 11 (1990), no.4, 301-313. 他引4次 (SCI)
 49. P. Lin, A uniformly convergent difference scheme for solving semilinear singularly perturbed elliptic equation in a domain with curved boundary, Numer.Math.J.Chinese Univ. 12 (1990), no.2, 110-123.
 50. P. Lin and Y. Su, Numerical solution of quasilinear singularly perturbed ordinary differential equation without turning points, Applied Math.Mech.(English Ed.) 10 (1989), no.11, 1005-1010. 他引7次 (SCI)
 51. P. Lin, A class of variational difference schemes for a singular perturbation problem, Applied Math.Mech.(EnglishEd.) 10 (1989), no.4, 353-359. (SCI)
三)会议论文
 申请人发表会议论文13篇,具体文章目录如下:
1. JS Hua, JF Stene and P Lin, Numerical simulation of gas bubbles rising in viscousliquids at high Reynolds number, The 6th International Conference on Multiphase Flow, ICMF 2007, Leipzig, Germany, July 9-13, 2007.
 2. A Shapeev and P Lin, A numerical-asymptotic method for computation of in¯nite number of eddies of viscous flows in domains with corners, The Fifth International Conference on Computational Fluid Dynamics, Seoul, Korea, July 7-11, 2008.
 3. JS Hua, JF Stene and P Lin, A numerical study on bubble rising path instability, XXII ICTAM, 25-29 August 2008, Adelaide, Australia.
 4. X.L. Lu and P. Lin, Iterative penalty methods for Navier-Stokes equations, Proceedings of the 2nd International Conference on Scientific Computing and Partial Differential Equations, Hong Kong, 2005, to appear.
 5. J.F. Stene, P. Lin and G.I. Shishkin, Numerical method for singularly perturbed elliptic convection-diffusion problems in an unbounded domain, Proceedings of international conference on boundary and interior layers - computational and asymptotic methods, BAIL 2004, Toulouse, France, 2004.
 6. P. Lin and G.I. Shishkin, Asymptotics of a solution of the Cauchy problem for a singularly perturbed Black-Scholes equation, Proceedings of international conference on boundary and interior layers - computational and asymptotic methods, BAIL 2004, Toulouse, France, 2004.
 7. P. Lin, X.Q. Chen and M.T. Ong, A fully explicit method and its parallelization for incompressible Navier-Stokes equations, Proceedings of the International Conference on Parallel Algorithms and Computing Environments (ICPACE), CUHK, Hong Kong, Oct 8-11, 2003.
 8. P. Lin, Regularization formulations and explicit temporal discretization for the incompressible Navier-Stokes equations, Proceedings of the 2nd MIT Conference on Computational Fluid and Solid Mechanics(editor K.J. Bathe), Elsevier Science, 2003.
 9. D. Gao and P. Lin, Calculating global minimizers of a nonconvex energy potential, in: Advances in Computational Science and Engineering, Proceedings of the International Conference on Scientific and Engineering Computation (IC-SEC 2002), Editors H.P. Lee and K. Kumar. pp. 696-700 , Imperial College Press, 2002.
 10. K.W. Liang, P. Lin and R.C.E. Tan, Numerical solution of blow-up problems using mesh-dependent variable temporal steps, in: Advances in Computational Science and Engineering, Proceedings of the International Conference on Scientific and Engineering Computation (IC-SEC 2002), Editors HP Leeand K Kumar. pp.709-713, Imperial College Press, 2002.
 11. U. M. Ascher and P. Lin, Sequential regularization methods for nonlinear higher index DAEs, Proceedings of ICIAM 95, “Numerical Analysis, Scientific Computing, Computer Science” of the Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM) with the Akademie Verlag, 1996.
 12. P. Lin, Numerical method for an extremely ill-conditioned turning point problem, in Numerical Methodsin Singularly Perturbed Problems, H.-G. Roos, A. Felgenhauer and L. Angermann (Eds.), Proceedings of the workshop International Seminar on Applied Math'91, The Technical University of Dresden, Dresden,1991, 105-110.
 13. Y. Su and P. Lin, Numerical solution of singular perturbation problems for hyperbolic differential equations with characteristic boundaries, in BAIL V (Shanghai,1988), 332-338, Boole Press Conf. Ser. 12, Ben Yu Guo,John J.H. Miller and Zhong Ci Shi (Eds.), Boole Press, Dún Laoghaire, 1988. 
 
科研业绩 :
近几年,主持或联合主持7个基金项目。
1. Numerical solution of differential and algebraic problems with applications, Singapore academic research grant, 1999-2001 (PI). 新加坡,主持,新加坡学术研究基金
2. Nonlinear partial differential equations | analysis, computation and applications in material science, Singapore academic grant, 2001-2004 (co-PI). 新加坡,新加坡学术基金
3. One of PIs for grants under the Center for Industrial Mathematics, Faculty of Science, 2001-2004.
4. Numerical methods and analysis for partial differential equations and their applications, Singapore academic grant, 2004-2007 (PI). 新加坡,主持,新加坡学术基金
5. Least-squares finite element methods for computational incompressible fluid dynamics, Singapore academic grant, 2005-2008 (co-PI). 新加坡,新加坡学术基金
6. Numerical methods and analysis for models in solid materials and complex fluids, Singapore academic grant, 2007-2010 (PI). 新加坡,主持,新加坡学术基金
7. Numerical analysis for multiscale models, Leverhulme Trust, United Kingdom, 2009-2011 (PI). 英国,主持 
 
获得奖励 / 专利 :
近几年,获得多个奖励,重要的有
1. Leverhulme Research Fellowship (2009-2011), Leverhulme Trust, United Kingdom.
 2009-2011年的英国Leverhulme Trust 提供的Leverhulme研究奖学金
2. International Travel Fund (2009), Royal Society, United Kingdom.
 2009年英国皇家协会提供的国际旅行基金
3. Research visit fund (3 months), CNRS, France, June-August, 2007.
 2007年获得法国国家科学研究中心提供的6月到8月的研究访问基金
4. Hitachi Research Fellowship (2003), awarded by Hitachi Fellowship Foundation, Japan.
 2003年日本日立奖学金基金授予日立研究奖学金
5. French Short Term Research Co-operation Fellowship (2000), Univ of Paris VI and Dassault Aviation, France.
 200年获得法国巴黎第六大学和Dassault Aviation提供的法国短期研究合作奖学金
6. SIAM Best Student Paper Prize (1994), USA. Invited to present the winning paper at the SIAM Annual Meeting in San Diego.
 1994年获得美国SIAM优秀学生论文奖,被邀在圣地亚哥的SIAM年会上宣读获奖论文