Parallel Homotopy Algorithm for Large Sparse Generalized Eigenvalue Problems: Application to Hydrodynamic Stability Analysis. - G. Chen; Herbert B. Keller; S. H. Lui 001; Bernard Roux (CONPAR, 1992)

Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators. - S. H. Lui 001; Gene H. Golub (Numer. Algorithms, 1995)

Computation of Pseudospectra by Continuation. - S. H. Lui 001 (SIAM J. Sci. Comput., 1997)

Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem. - Shiu Hong Lui; Herbert B. Keller; T. W. C. Kwok (SIAM J. Matrix Anal. Appl., 1997)

Multiple bifurcation from "simple" eigenvalues. - S. H. Lui 001 (Appl. Math. Comput., 1999)

Short rate analysis and marked point processes. - Robert J. Elliott; Allanus H. Tsoi; Shiu Hong Lui (Math. Methods Oper. Res., 1999)

On Schwarz Alternating Methods for Nonlinear Elliptic PDEs. - S. H. Lui 001 (SIAM J. Sci. Comput., 1999)

On Schwarz Alternating Methods for the Incompressible Navier-Stokes Equations. - S. H. Lui 001 (SIAM J. Sci. Comput., 2001)

On Schwarz Alternating Methods for the Subsonic Full Potential Equation. - S. H. Lui 001 (Numer. Algorithms, 2002)

On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs. - S. H. Lui 001 (Numerische Mathematik, 2002)

A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation. - Xuejun Xu; S. H. Lui 001 (Appl. Math. Comput., 2003)

A pseudospectral mapping theorem. - S. H. Lui 001 (Math. Comput., 2003)

Variational Approach for Restoring Random-Valued Impulse Noise. - Chen Hu; S. H. Lui 001 (NAA, 2004)

Spectral decomposition of a finite-difference operator. - S. H. Lui 001; P. N. Shivakumar (Int. J. Comput. Math., 2005)

A fast deblurring algorithm. - Dmitry K. Firsov; Shiu Hong Lui (Appl. Math. Comput., 2006)

Mathematical Model of Ice Melting on Transmission Lines. - S. Yu. Sadov; P. N. Shivakumar; Dmitry K. Firsov; S. H. Lui 001; Ruppa K. Thulasiram (J. Math. Model. Algorithms, 2007)

Convergence estimates for an optimized Schwarz method for PDEs with discontinuous coefficients. - Olivier Dubois 001; S. H. Lui 001 (Numer. Algorithms, 2009)

Convergence estimates for an higher order optimized Schwarz method for domains with an arbitrary interface. - S. H. Lui 001 (J. Comput. Appl. Math., 2010)

A Numerical study of the Dirichlet and Neumann eigenvalue problem of the Laplacian on cusp domains. - S. H. Lui 001 (J. Comput. Methods Sci. Eng., 2013)

Legendre spectral collocation in space and time for PDEs. - S. H. Lui 001 (Numerische Mathematik, 2017)

Superlinear convergence of nonlinear conjugate gradient method and scaled memoryless BFGS method based on assumptions about the initial point. - Sarah Nataj; S. H. Lui 001 (Appl. Math. Comput., 2020)

Superlinear convergence of Broyden's method and BFGS algorithm using Kantorovich-type assumptions. - S. H. Lui 001; Sarah Nataj (J. Comput. Appl. Math., 2021)

Spectral collocation in space and time for linear PDEs. - S. H. Lui 001; Sarah Nataj (J. Comput. Phys., 2021)