Ping Lin

+44 (0)1382 384473
Professor of Numerical Analysis / Computational Mathematics

Profile

Ping Lin obtained a BSc from Nanjing University in 1984 and a PhD in Applied Mathematics from University of British Columbia in 1996.

After being a postdoctoral fellow in Stanford University for two years, and a research associate in Rensselaer Polytechnic Institute, he took up an assistant professor position in National University of Singapore in 1999. He was then promoted to Associate Professor and Professor.

In 2007 he took the Chair of Numerical Analysis position at the University of Dundee.

He held a Leverhulme Research Fellowship and had extended visiting posts in Princeton University, Kyoto University (Hitachi Fellow), Institute of High Performance Computing Singapore (Faculty Associate), University of Paris VI (CNRS Associated Researcher) and University of Science and Technology Beijing.

Read more on her personal webpage.

Research

 

His research focuses on Numerical Analysis and Scientific Computing for mathematical problems arising from Fluid Mechanics, Physical and Material Sciences and Image Processing, etc.

More recently, he has done research on

  • Atomistic-to-Continuum (or quasi-continuum) multiscale methods in material simulations
  • Computational non-Newtonian/liquid crystal flows and multiphase flows
  • Finite element analysis on Navier-Stokes equations and Maxwell equations
  • Multiscale modelling techniques and their applications in biological, medical problems and medical image analysis

 

For further details, follow this link.

 

 

Publications

 

Highlights:

  • Z.L. Guo, P. Lin and J. Lowengrub, A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law, J. Comput. Phys. to appear
  • Z.L. Guo and P. Lin, A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects, Preprint arXiv:1401.5793, January 2014.
  • 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 2357-2379, 2013.
  • H.Y. Duan, P. Lin and R. Tan, Error estimates for a vectorial second-order elliptic eigenproblem by the local L2 projected C0 finite element method, SIAM J Numer Anal 51, No 3, 2013, pp 1678-1714.
  • Y.F. Wang, G.R. Ji, P. Lin and E. Trucco, Retinal vessel segmentation using multiwavelet kernels and multiscale hierarchical decomposition, Pattern Recognition 46, No. 8, 2013, pp. 2117-2133.
  • D. Trucu, P. Lin, M. Chaplain and Y.F. Wang, A multiscale moving boundary model arising in cancer invasion, Multiscale Model. Simul.: A SIAM Interdisciplinary J. 11(1), 2013, pp.309-335.
  • H.Y. 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. 671-707.
  • A. Abdulle, P. Lin and A. Shapeev, Numerical methods for multilattices, Multiscale Model. Simul.: A SIAM Interdisciplinary J. 10 (3), 2012, pp. 696-726.
  • H.Y. Duan, P. Lin and R. Tan, C0 elements for generalised indefinite Maxwell equations, Numerische Mathematik 122 (1), 2012, pp. 61-99.

For a full list, follow this link.