Numerical Methods for Partial Differential Equations

The symplectic methods for the computation of hamiltonian equations.- The boundary finite element methods for signorini problems.- A hamiltonian approximation for nonlinear wave equations on N-dimensional spheres Sn.- Parallel algorithms and domain decomposition.- A difference method for degenerate hyperbolic equations of second order.- Error expansions for finite element approximations and their applications.- The fourier pseudospectral method with a restrain operator for the M.K.D.V. equation.- A numerical method for a class of nonlinear fourth order equations.- Convergence conditions of the explicit and weak implicit finite difference schemes for parabolic systems.- Finite element approximations for a variational inequality with a nonlinear monotone operator.- Contour dynamics methods for discontinuous vortical flows.- Optimum domain problems governed by a class of PDE.- Folds of degree 4 and swallowtail catastrophe.- Convergence study for viscous splitting in bounded domains.- An explicit scheme for an inverse scattering problem and its stability analysis.- On stability and convergence of difference schemes for quasilinear hyperbolic initial-boundary-value problems.