This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications. The contributed papers reflect the interest and high research level of the Chinese mathematicians working in these fields.
On finite element approximation for the bifurcation solution of free convection problem, Y.Z. Cao and M.Y. Huang; sympletic difference schemes for Hamiltonian systems, Feng Kang; iterative and Petrov-Galerkin methods for a nonlinear two-point boundary value problem with application to semiconductor devices, B.Y. Guo and J.H. Miller; the boundary element method for a certain class of parabolic variational inequalities, H.D. Han; full discrete nonlinear Galerkin method, K.T. li, et al; generalized upwind difference method for convection dominated diffusion problems, R.H. Li and X.J. Hua; optical finite element error for convection-diffusion problems, Lin Qun; unconventional finite elements and their analysis, Z.C. Shi; optimal error estimates for a viscosity splitting formula, L.A. Ying; discrete functional analysis and difference schemes for parabolic systems, Y.L. Zhou.