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

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. Nume...

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Bibliographic Details
Other Authors: Zhu, You-lan (Editor), Guo, Ben-yu (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1987, 1987
Edition:1st ed. 1987
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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