Numerical Methods for Partial Differential Equations : Proceedings of a Conference held in Shanghai, P.R. China, March 25-29, 1987 / edited by You-Ian Zhu, Ben-yu Guo.

Format:

Book

Contributor:

Zhu, You-Ian, editor.

Guo, Benyu, 1942- editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1297.

Lecture Notes in Mathematics, 0075-8434 ; 1297

Language:

English

Subjects (All):

Numerical analysis.

Numerical Analysis.

Local Subjects:

Numerical Analysis.

Physical Description:

1 online resource (XII, 248 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1987.

System Details:

text file PDF

Summary:

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 et cetera, 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 The 16 papers of this volume present recent or new unpublished results and provide a good overview of current research being done in this field in China.

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.

Other Format:

Printed edition:

ISBN:

9783540481263

Access Restriction:

Restricted for use by site license.