Numerical Methods for Partial Differential Equations: Proceedings of a Conference held in Shanghai, P.R. China, March 25–29, 1987

The symplectic methods for the computation of hamiltonian equations....Pages 1-37
The boundary finite element methods for signorini problems....Pages 38-49
A hamiltonian approximation for nonlinear wave equations on N-dimensional spheres S n ....Pages 50-60
Parallel algorithms and domain decomposition....Pages 61-75
A difference method for degenerate hyperbolic equations of second order....Pages 76-97
Error expansions for finite element approximations and their applications....Pages 98-112
The fourier pseudospectral method with a restrain operator for the M.K.D.V. equation....Pages 113-120
A numerical method for a class of nonlinear fourth order equations....Pages 121-128
Convergence conditions of the explicit and weak implicit finite difference schemes for parabolic systems....Pages 129-140
Finite element approximations for a variational inequality with a nonlinear monotone operator....Pages 141-149
Contour dynamics methods for discontinuous vortical flows....Pages 150-164
Optimum domain problems governed by a class of PDE....Pages 165-170
Folds of degree 4 and swallowtail catastrophe....Pages 171-183
Convergence study for viscous splitting in bounded domains....Pages 184-202
An explicit scheme for an inverse scattering problem and its stability analysis....Pages 203-209
On stability and convergence of difference schemes for quasilinear hyperbolic initial-boundary-value problems....Pages 210-244