Numerical Methods for Partial Differential Equations
Proceedings of a Conference held in Shanghai, P.R. China, March 25-29, 1987
Published on 17. December 1987
Book
Paperback/Softback
XII, 248 pages
978-3-540-18730-1 (ISBN)
Description
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 The 16 papers of this volume present recent or new unpublished results and provide a good overview of current research being done in this field in China.
More details
Series
Edition
1987 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 248 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
394 gr
ISBN-13
978-3-540-18730-1 (9783540187301)
DOI
10.1007/BFb0078536
Schweitzer Classification
Content
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.