Benyu Guo

School of Mathematical Sciences
Shanghai Normal University
Shanghai 200234, China

Email: byguo@guomai.sh.cn


Research Interests:
Numerical PDEs, Spectral Methods, Finite Element Methods

Editorial Boards:

Books:

Spectral Methods and Their Applications

Selected publications:

  1. Guo BY and He LP, The fully discrete Legendre spectral approximation of two-dimensional unsteady incompressible fluid flow in stream function form. SIAM J. Numer Anal., 35 (1): 146-176 FEB 1998.
  2. Guo BY, Gegenbauer approximation in certain Hilbert spaces and its applications to singular differential equations. SIAM J. Numer Anal., 37 (2): 621-645 JAN 26 2000.
  3. Guo BY, Ma HP and Tadmor E, Spectral vanishing viscosity method for nonlinear conservation laws. SIAM J. Numer Anal., 39 (4): 1254-1268 DEC 4 2001.
  4. Guo BQ and Cao WM An additive Schwarz method for the h-p version of the finite element method in three dimensions. SIAM J. Numer Anal., 35 (2): 632-654 APR 1998.
  5. Guo BY, Error estimation of Hermite spectral method for nonlinear partial differential equations. Math. Comput. 68 (227): 1067-1078 JUL 1999.
  6. Guo BY and Shen J, Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Numer Math. 86 (4): 635-654 OCT 2000.