Some Recent papers

  1. HY Duan, F Jia, P Lin and RCE Tan, The local L2 projected C0 finite element method for Maxwell problem, SIAM J Numer Anal, to appear.
  2. 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.
  3. 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.
  4. JS Hua, P Lin and JF Stene, Numerical Simulation of Gas Bubbles Rising in Viscous Liquids at High Reynolds Number, in Moving Interface Problems and Applications in Fluid Dynamics, Contemporary Mathematics 466, American Math Society, 2008, pp. 17-34.
  5. 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.
  6. JS Hua, JF Stene and P Lin , Numerical Simulation of 3D Bubbles Rising in Viscous Liquids using a Front Tracking Method, J Comput Phys 227 (2008), No 6, pp.3358-3382. Figure files
  7. 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 Aplications (special issue dedicated to the 80th birthday of Professor Su Yucheng), Vol 1 (2008), No 2, 150-164.
  8. 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.
  9. 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, pp.2537-2563.
  10. H Huang, P Lin and WB Zhou, Moisture transport and diffusive instability during bread baking, SIAM J Appl Math 68 (2007), No 1, pp.222-238.
  11. 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.
  12. 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, pp.2766-2777.
  13. G Chen, Z Li and P Lin, A fast finite differencemethod for biharmonic equations on irregular domains, Advances in Computational Math, to appear.
  14. P Lin, Convergence analysis of a quasi-continuum approximation for a two-dimensional material, SIAM J Numer Anal 45 (2007), No.1, 313-332.
  15. 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.
  16. KW Liang, P Lin and RCE Tan, Numerical solution of quenching problems using mesh-dependent variable temporal steps, Applied Numer Math Vol 57 (2007), No 5-7, pp 791-800.
  17. XC Tai, O Christiansen, P Lin and I Skjaelaaen, A remark on the MBO scheme and some piecewise constant level set methods, International Journal of Computer Vision 73 (2007), No 1, 61-76.
  18. HY Duan, P Lin, P Saikrishnan and RCE Tan, L2-projected least-squares finite element methods for the Stokes equations, SIAM J Numer Anal 44 (2006), no.2, 732-752.
  19. P Lin and C Liu, Simulation of singularity dynamics in liquid crystal flows: a C0 finite element approach, J Comp Phys, Vol 215 (2006), No.1, 348-362.
  20. 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.
  21. KW Liang, P Lin, MZ Ong and RCE Tan, A splitting moving mesh method for reaction-diffusion equations of quenching type, J Comp Phys, Vol 215 (2006), No.2, 757-777.
  22. SN Chow, P Lin and SY Shi, Spike solutions of a nonlinear electric circuit with a periodic input, an invited paper in Taiwanese Journal of Mathematics, Vol 9 (2005), No.4, 551-581.
  23. KW 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, American Math Society (2005), 355-269.
  24. P Lin, XQ Chen and MT Ong, Finite element methods based on a new formulation for the non-stationary incompressible Navier-Stokes equations, Int. J. Numer. Meth. fluids 46 (2004) 1169-1180.
  25. R. Glowinski, P. Lin and X.-B. Pan, An operator-splitting method for a liquid crystal model, Comp Phys Comm 152 (2003), 242-252.
  26. P. Lin and R.E. O'Malley, Jr. , The numerical solution of a challenging class of of turning point problems, SIAM J Sci Comput 25 (2003) 927-941.
  27. P. Lin, Q. Guo and X. Chen , A fully explicit method and its parallelization for incompressible flow computation, Comput Methods Appl Mech Engrg Vol.192/22-24 (2003), pp.2555-2564.
  28. H. Cheng, P. Lin, Q. Sheng and R. Tan, Solving degenerate reaction-diffusion equations via adaptive Peaceman-Rachford splitting, SIAM J Sci Comput 25 (2003) 1273-1292. Part 1 Part 2 Part 3 Part 4
  29. Y. Feng and P. Lin, Optimal booking control on a two-leg flight with multiple fares, submitted.
  30. Y. Feng, P. Lin and B. Xiao , An analysis of airline seat control with cancellation, in Stochastic Modeling and Optimization (with applicatoins in queues, finance, and supply chains, edited by David D Yao et at), 395-427, Springer, New York, 2003.
  31. P. Lin , A nonlinear wave equation of mixed type for fracture dynamics, Research Report No. 777, Department of Mathematics, The National University of Singapore, August 2000.
  32. P. Lin , Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model, Mathematics of Computation 72 (2003), 657-675.
  33. P. Lin and C.W. Shu, Numerical solution of a virtual internal bond model for material fracture, Physica D: Nonlinear Phenomena, Vol 167 (2002), Issues 1-2, 101-121.
  34. P. Lin and R. Spiteri , A predicted sequential regularization method for index-2 Hessenberg DAEs, SIAM J. Numer. Anal. 39 (2002), No. 6, 1889-1913.
  35. 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.
  36. 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.
  37. 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.
  38. 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.
  39. P. Lin , A sequential regularization method for time-dependent incompressible Navier-Stokes equations, SIAM J. Numer. Anal. 34 (1997), no.3, 1051-1071.
  40. 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.