
P. Lin: PUBLICATIONS
Some papers and preprints
 LY Shen, HX Huang, P Lin, ZL Song and SX Xu, An energy stable C0 finite element scheme for a quasiincompressible phasefield model of moving contact line with variable density, ArXiv 1908.03681, 2019. J. Comput. Phys. in press.
 MX Zhang, WF Zhao and P Lin, Lattice Boltzmann method for general convectiondiffusion equations: MRT model and boundary schemes, J Comput Phys 389, pp 147163, 2019.
 MJ Liao, P Lin and L Zhang, A posteriori error estimate and adaptive mesh refinement algorithm for atomistic/continuum coupling with finite range interactions in two dimensions, Commun. Comput. Phys. 27 (2020), No 1, 198226.
 E Celiker and P Lin, A highlyaccurate finite element method with exponentially compressed meshes for the solution of the Dirichlet problem of the generalized Helmholtz equation with corner singularities, J Comput and Appl Math 361, pp 227235, 2019.
 HX Guo, CF Gui, P Lin and MF Zhao, Multiple solutions and their asymptotics for laminar flows through a porous channel with different permeabilities, ArXiv 1804.05887, 2018.
 H Wang, MJ Liao, P Lin and L Zhang, A posteriori error estimation and adaptive algorithm for the atomistic/continuum coupling in 2D,
ArXiv 1702.02701, SIAM J Sci Comput 40 (4), A2087A2119, 2018.
 TD Wei, Q Yao, P Lin and LS Wang, Adaptive synchronization of stochastic complex dynamical networks and its application, Neural Computing and Applications 29 (11), 2018. available online.

Zhenlin Guo, Ping Lin, John Lowengrub and Steven Wise, Mass Conservative and Energy Stable Finite Difference Methods for
the Quasiincompressible NavierStokesCahnHilliard system:
Primitive Variable and ProjectionType Schemes, Computer Methods in Applied Mechanics and Engineering 326C (2017), pp 144174.
 WB Guo, CPG Calixto, N Tzioutziou, P Lin, R Waugh, J Brown and RX Zhang, Evaluation and improvement of the regulatory inference for large coexpression networks with limited sample size, BMC Systems Biology (2017)11:62, DOI 10.1186/s1291801704402
 TD Wei, LS Wang, P Lin, JL Chen, YF Wang and HY Zheng, Learning nonnegativity constrained variation for image denoising and deblurring, Numer. Math. Theor. Meth. Appl. 10 (2017), No. 4, pp. 852871.
DOI: 10.4208/nmtma.2017.m1653
 L Peng, D Trucu, P Lin, A Thompson and M. A. J. Chaplain, A multiscale mathematical model of tumour invasive growth, Bull. Math. Biol.79:389429 Feb. 2017 DOI 10.1007/s1153801602372
 HY Duan, P Lin and RCE Tan, A finite element method for a curlcurlgraddiv eigenvalue interface problem, SIAM J Numer Anal 54 (2016), No 2, pp. 11931228.
 HY Zheng, L Chang, TD Wei, XX Qiu, P Lin and YF Wang, Registering retinal vessel images from local to global via multiscale and multicycle features, 2016 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), accepted.
 C Martin, XH Ma, GT McIntyre, WJ Wang, P Lin, EV Chalmers and PA Mossey, The validity and reliability of an automated method of scoring dental arch relationships in unilateral cleft lip and palate using the modified HuddartBodenham scoring system, European Journal of Orthodontics, 2016, pp. 16.
 YY Jiang, P Lin, ZL Guo and SL Dong , Numerical simulation for moving contact line with continuous finite element schemes, Comm. Comput. Phys. 18 (2015), No. 1, 180202.
 ZL Guo and P Lin, A thermodynamically consistent phasefield model for twophase flows with thermocapillary effects, Preprint arXiv:1401.5793, January 2014. J Fluid Mechanics 766 (2015), pp. 226271.
 HY Duan, P Lin and RCE Tan, Solving a Maxwell interface problem by a local L2 projected C0 finite element method, in Numerical Mathematics and Advanced Applications  ENUMATH 2013, Lecture Notes in Computational Science and Engineering 103, 2015, pp. 795802.
 ZL Guo, P Lin and J Lowengrub, A numerical method for the quasiincompressible CahnHilliardNavierStokes equations for variable density flows with a discrete energy law, Preprint arXiv:1402.1402, Feburary 2014. J. Comput. Phys. 276 (2014), pp. 486507.
DOI: 10.1016/j.jcp.2014.07.038
 SL Dong, LC Zheng, XX Zhang and P Lin, Improved drag force model and its application in simulating nanofluid flow, Microfluid and Nanofluid 17 (2014), No. 2, 253261. DOI 10.1007/s1040401413301
 ZL Guo, P Lin and YF Wang, Continuous finite element schemes for a phase field model in twolayer fluid BenarkMarangoni convection computations, Computer Phys Comm.185 (2014), 6378. published online on 30 August, 2013 (http://dx.doi.org/10.1016/j.cpc.2013.08.016).
 ZL Guo, P Lin, GR Ji and YF Wang, Retinal vessel segmentation using a finite element based binary level set method, Inverse Problems and Imaging 8 (2014), No. 2, 459473.
 HX Xu, P Lin and XH Si,
A numerical study of multiple solutions for the flow in a porous expanding
channel using a finite element method, Numer. Math. Theory Methods & Appls 7 (2014), No 1, pp 107122.
 Swarn Singh and P Lin, High order variable mesh offstep discretization for the solution of 1D nonlinear hyperbolic equation, Applied Math & Comput 230 (2014), pp 629638.

A Abdulle, P Lin and A Shapeev, A priori and a posteriori W^{1,\infty} error analysis of a quasicontinuum method for complex lattices, SIAM J Numer Anal 51(4), pp 23572379, 2013.
 HY Duan, P Lin and R Tan, Error estimates for a vectorial secondorder elliptic eigenproblem by the local L2 projected C0 finite element method, SIAM J Numer Anal 51, No 3, 2013, pp 16781714.
 YF Wang, GR Ji, P Lin and E Trucco, Retinal vessel segmentation using multiwavelet kernels and multiscale hierarchical decomposition, Pattern Recognition 46 (2013), No 8, 21172133. available online 10 Feb 2013. DOI: 10.1016/j.patcog.2012.12.014
 XH Si, LC Zheng, P Lin, XX Zhang and Y Zhang, Flow and heat transfer of a micropolar fluid in a porous channel with expanding or contracting walls, Intern. J. of Heat ad Mass Transfer 67 (2013), pp 885895.

D Trucu, P Lin, MAJ Chaplain and YF Wang, A multiscale moving boundary model arising in cancer invasion, Multiscale Model. Simul.: A SIAM Interdisciplinary J. 11(1), 2013, pp.309335.
 HY Duan, P Lin and R Tan, Analysis of a continuous finite element method for H(curl,div)elliptic interface problem, Numerische Mathematik 123, 2013, pp. 671707. (electronically published in October 2012. doi:10.1007/s002110120500x)
 LC Zheng, BT Li, P Lin, et al, Sedimentation and precipitation of nanoparticles in powerlaw fluids, Microfluid and Nanofluid, electronically published 15 Dec. 2012, DOI 10.1007/s1040401211171.
 A Abdulle, P Lin and A Shapeev, Numerical methods for multilattices, Multiscale Model. Simul.: A SIAM Interdisciplinary J. 10 (3), 2012, pp. 696726.
 HY Duan, P Lin and R Tan, C0 elements for generalised indefinite Maxwell equations, Numerische Mathematik 122 (1), 2012, pp. 6199. DOI: 10.1007/s002110120456x
 YF Wang, P Lin and LS Wang, Exponential stability of reactionâ€“diffusion highorder Markovian jump Hopfield neural networks with timevarying delays, Nonlinear Analysis: Real World Applications 13 (2012), No 3, pp 13531361.
 JS Hua, P Lin, C Liu and Q Wang Energy law preserving C0 finite element schemes for phase field models in twophase flow computations, J Comput Phys 230 (2011), pp. 71157131.
 A Abdulle, P Lin and A Shapeev, Homogenizationbased analysis of quasicontinuum method for complex crystals. Preprint arXiv: 1006.0378, June 2010.
 XL Lu and P Lin, Error estimate of the P1 nonconforming finite element method for the penalized unsteady NavierStokes equations, Numerische Mathematik 115 (2010), No 2, pp. 261287.
 P Lin and A Shapeev, Energybased ghost force removing techniques for the quasicontinuum method. Preprint arXiv: 0909.5437, September 2009.
 R Glowinski, P Lin and XB Pan, A threestage operatorsplitting/finite element method for the numerical simulation of liquid crystal flow, International Journal of Numerical Analysis and Modeling 6 (2009), No 3, pp. 440454.
 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. 12741303.
 AV Shapeev and P Lin, An asymptotic fitting finite element method with exponential mesh refinement for accurate computation of corner eddies in viscous flows, SIAM J Sci Comput 31 (2009), No. 3, pp. 18741900.
 P Lin, JG Liu and XL Lu, Long time numerical solution of the NavierStokes equations based on a sequential regularization formulation, SIAM J Sci Comput 31 (2008), No 1, pp. 398419.
 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. 1734.
 XL Lu, P Lin and JG Liu, Analysis of a sequential regularization method for the unsteady NavierStokes equations, Math of Comput 77 (2008), No 263, 14671494.
 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.33583382. Figure files
 G Chen, Z Li and P Lin, A fast finite difference method for biharmonic equations on irregular domains, Advances in Computational Math 29 (2008), pp. 113133.
 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, 150164.
 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, 14111427.
 HY Duan, P Lin, P Saikrishnan and RCE Tan,A least squares finite element method for the magnetostatic problem in a multiplyconnected Lipschitz domain, SIAM J Numer Anal 45 (2007), No 6, pp.25372563.
 H Huang, P Lin and WB Zhou, Moisture transport and diffusive instability during bread baking, SIAM J Appl Math 68 (2007), No 1, pp.222238.
 P Lin and P Plechac, Numerical studies of a coarsegrained approximation for dynamics of an atomic chain, International Journal for Multiscale Computational Engineering 5 (2007), No 5, 351367.
 D Krishnan, P Lin and AM Yip, A primaldual activeset method for nonnegativity constrained total variation deblurring problems, IEEE Transactions on Image Processing 16 (2007), No. 11, pp.27662777.
 P Lin, Convergence analysis of a quasicontinuum approximation for a twodimensional material, SIAM J Numer Anal 45 (2007), No.1, 313332.
 P Lin and T Richter, An adaptive homotopy multigrid method for molecule orientations of high dimensional liquid crystals, J of Comput Phys 225 (2007), No 2, 20692082.
 KW Liang, P Lin and RCE Tan, Numerical solution of quenching problems using meshdependent variable temporal steps, Applied Numer Math Vol 57 (2007), No 57, pp 791800.
 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, 6176.
 HY Duan, P Lin, P Saikrishnan and RCE Tan, L2projected leastsquares finite element methods for the Stokes equations, SIAM J Numer Anal 44 (2006), no.2, 732752.
 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, 348362.
 D Krishnan, P Lin and XC Tai,An efficient operatorsplitting method for noise removal in images, Communication in Computational Physics 1 (2006), no 5, 847858.
 KW Liang, P Lin, MZ Ong and RCE Tan, A splitting moving mesh method for reactiondiffusion equations of quenching type, J Comp Phys, Vol 215 (2006), No.2, 757777.
 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, 551581.
 KW Liang and P Lin, A splitting moving mesh method for 3D quenching and blowup problems, Contemporary Mathematics 383, Recent Advances in Adaptive Methods, American Math Society (2005), 355269.
 P Lin, XQ Chen and MT Ong, Finite element methods based on a new formulation for the nonstationary incompressible NavierStokes equations, Int. J. Numer. Meth. fluids 46 (2004) 11691180.
 R. Glowinski, P. Lin and X.B. Pan, An operatorsplitting method for a liquid crystal model, Comp Phys Comm 152 (2003), 242252.
 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) 927941.
 P. Lin, Q. Guo and X. Chen , A fully explicit method and its parallelization for incompressible flow computation, Comput Methods Appl Mech Engrg Vol.192/2224 (2003), pp.25552564.
 H. Cheng, P. Lin, Q. Sheng and R. Tan, Solving degenerate reactiondiffusion equations via adaptive PeacemanRachford splitting, SIAM J Sci Comput 25 (2003) 12731292. Part 1 Part 2 Part 3 Part 4
 Y. Feng and P. Lin, Optimal booking control on a twoleg flight with multiple fares, submitted.
 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), 395427, Springer, New York, 2003.
 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.
 P. Lin , Theoretical and numerical analysis for the quasicontinuum approximation of a material particle model, Mathematics of Computation 72 (2003), 657675.
 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 12, 101121.
 P. Lin and R. Spiteri , A predicted sequential regularization method for index2 Hessenberg DAEs, SIAM J. Numer. Anal. 39 (2002), No. 6, 18891913.
 G.J. Reid, P. Lin and A.D. Wittkopf , Differential eliminationcompletion algorithms for DAEs and PDAEs, Studies in Applied Math 106 (2001), no. 1, 145.
 U. Ascher and P. Lin, Sequential regularization methods for simulating mechanical systems with many closed loops, SIAM J. Sci. Comput. 21 (2000), no. 4, 12441262.
 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, 893911.
 U. Ascher and P. Lin, Sequential regularization methods for nonlinear higher index differentialalgebraic equations, SIAM J. Sci. Comput. 18 (1997), no.1, 160181.
 P. Lin , A sequential regularization method for timedependent incompressible NavierStokes equations, SIAM J. Numer. Anal. 34 (1997), no.3, 10511071.
 U. Ascher and P. Lin , Sequential regularization methods for higher index DAEs with constraint singularities: Linear index2 case, SIAM J. Numer. Anal. 33 (1996), 19211940.
