Dr Lester K. M. LIU (廖金滿)

PhD – Imperial College London, UK

Associate Professor

Dr Lester K. M. LIU

Contact Information

Office: Y6527 Academic 1
Phone: +852 3442-8570
Fax: +852 3442-0250
Email: makmliu@cityu.edu.hk

Research Interests

  • Numerical Solution of Differential Equations
  • Numerical Solution of Differential Eigenvalue Problems

Dr Lester K. M. Liu received his PhD in Numerical Analysis from the Imperial College, England. His PhD research under a SERC (Science and Engineering Research Council) studentship was devoted to the extension of the application of different formulations of the Tau Method to the numerical solution of differential equations.

He then joined the Polytechnic of Central London as a research fellow under a research contract on crack propagation problems related to aircraft structures and design. He was Lecturer of the Department of Mathematics at Hong Kong Polytechnic before joining CityU.

Publications

  1. K. M. LIU and E. L. ORTIZ, Numerical Solution of Eigenvalue Problems for Partial Differential Equations with the Tau-Lines Method, Journal of Computers and Mathematics with Applications, Vol. 12B, pp. 1153–1168, 1986.
  2. K. M. LIU and E. L. ORTIZ, Tau Method Approximation of Differential Eigenvalue Problems where the Spectral Parameter Enters Nonlinearly, Journal of Computational Physics, Vol. 72, pp. 299–310, 1987.
  3. K. M. LIU and E. L. ORTIZ, Tau Method Approximate Solution of High Order Differential Eigenvalue Problems defined in the Complex Plane with an Application to Orr-Sommerfeld Stability Equations, Journal of Communications in Applied Numerical Methods, Vol. 3, pp. 187–194, 1987.
  4. K. M. LIU, Numerical Solution of Differential Eigenvalue Problems with Variable Coefficients with the Tau-Collocation Method, Journal of Mathematical and Computer Modelling, Vol. 11, pp. 672–675, 1988.
  5. K. M. LIU and E. L. ORTIZ, Numerical Solution of Ordinary and Partial Functional Differential Eigenvalue Problems with the Tau Method, Journal of Computing (Wien), Vol. 41, pp. 205–217, 1989.
  6. K. M. LIU and C. K. PAN, Stress Intensity Factors Computations Using the Singularity Subtraction Technique Incorporated with the Tau Method, Journal of Computer Assisted Mechanics and Engineering Sciences, vol. 5, pp. 55–64, 1998.
  7. K. M. LIU and C. K. PAN, The Automatic Solution to Systems of Ordinary Differential Equations by the Tau Method, Journal of Computers and Mathematics with Applications, Vol. 38, pp. 197–210, 1999.
  8. W. LI, W. SUN and K. M. LIU, Parallel Multisplitting Iterative Methods for Singular M-matrices, Journal of Numerical Linear Algebra with Applications, Vol. 8, pp. 181–190, 2001.
  9. W. SUN and K. M. LIU, Iterative Algorithms for Nonlinear Ordinary Differential Eigenvalue Problems, Journal of Applied Numerical Mathematics, Vol. 38, pp. 361–376, 2001.
  10. Y. HE, K. M. LIU and W. SUN, Multi-level Spectral Galerkin Method for the Navier-Stokes Problem, I: Spatial Discretization, Journal of Numerische Mathematik, Vol. 101, pp. 501–522, 2005.
  11. Y. HE and K. M. LIU, Multi-level Spectral Galerkin Method for the Navier-Stokes Equations, II: Time Discretization, Journal of Advances in Computational Mathematics, Vol. 25, pp. 403–433, 2006.