S. H. Lui

Publication Activity (10 Years)

Years Active: 1992-2021
Publications (10 Years): 4

Top Topics

Optimization Procedure

Conjugate Gradient

Superlinear Convergence

Top Venues

J. Comput. Methods Sci. Eng.

J. Comput. Phys.

J. Comput. Appl. Math.

Appl. Math. Comput.

Publications

S. H. Lui, Sarah Nataj
Superlinear convergence of Broyden's method and BFGS algorithm using Kantorovich-type assumptions. J. Comput. Appl. Math. 385 (2021)
S. H. Lui, Sarah Nataj
Spectral collocation in space and time for linear PDEs. J. Comput. Phys. 424 (2021)
Sarah Nataj, S. H. Lui
Superlinear convergence of nonlinear conjugate gradient method and scaled memoryless BFGS method based on assumptions about the initial point. Appl. Math. Comput. 369 (2020)
S. H. Lui
Legendre spectral collocation in space and time for PDEs. Numerische Mathematik 136 (1) (2017)
S. H. Lui
A Numerical study of the Dirichlet and Neumann eigenvalue problem of the Laplacian on cusp domains. J. Comput. Methods Sci. Eng. 13 (5-6) (2013)
S. H. Lui
Convergence estimates for an higher order optimized Schwarz method for domains with an arbitrary interface. J. Comput. Appl. Math. 235 (1) (2010)
Olivier Dubois, S. H. Lui
Convergence estimates for an optimized Schwarz method for PDEs with discontinuous coefficients. Numer. Algorithms 51 (1) (2009)
S. Yu. Sadov, P. N. Shivakumar, Dmitry K. Firsov, S. H. Lui, Ruppa K. Thulasiram
Mathematical Model of Ice Melting on Transmission Lines. J. Math. Model. Algorithms 6 (2) (2007)
S. H. Lui, P. N. Shivakumar
Spectral decomposition of a finite-difference operator. Int. J. Comput. Math. 82 (10) (2005)
Chen Hu, S. H. Lui
Variational Approach for Restoring Random-Valued Impulse Noise. NAA (2004)
S. H. Lui
A pseudospectral mapping theorem. Math. Comput. 72 (244) (2003)
Xuejun Xu, S. H. Lui
A two-level Schwarz method for a finite element approximation of a nonlinear biharmonic equation. Appl. Math. Comput. 145 (2-3) (2003)
S. H. Lui
On Schwarz Alternating Methods for the Subsonic Full Potential Equation. Numer. Algorithms 30 (1) (2002)
S. H. Lui
On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs. Numerische Mathematik 93 (1) (2002)
S. H. Lui
On Schwarz Alternating Methods for the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 22 (6) (2001)
S. H. Lui
Multiple bifurcation from "simple" eigenvalues. Appl. Math. Comput. 100 (2-3) (1999)
S. H. Lui
On Schwarz Alternating Methods for Nonlinear Elliptic PDEs. SIAM J. Sci. Comput. 21 (4) (1999)
S. H. Lui
Computation of Pseudospectra by Continuation. SIAM J. Sci. Comput. 18 (2) (1997)
S. H. Lui, Gene H. Golub
Homotopy method for the numerical solution of the eigenvalue problem of self-adjoint partial differential operators. Numer. Algorithms 10 (2) (1995)
G. Chen, Herbert B. Keller, S. H. Lui, Bernard Roux
Parallel Homotopy Algorithm for Large Sparse Generalized Eigenvalue Problems: Application to Hydrodynamic Stability Analysis. CONPAR (1992)