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

Kang Feng, Meng-zhao Qin (auth.), You-Ian Zhu, Ben-yu Guo (eds.)9780387187303, 0-387-18730-8

These Proceedings of the first Chinese Conference on Numerical Methods for Partial Differential Equations covers topics such as difference methods, finite element methods, spectral methods, splitting methods, parallel algorithm etc., their theoretical foundation and applications to engineering. Numerical methods both for boundary value problems of elliptic equations and for initial-boundary value problems of evolution equations, such as hyperbolic systems and parabolic equations, are involved. The 16 papers of this volume present recent or new unpublished results and provide a good overview of current research being done in this field in China.

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Table of contents :
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