Contributions of Mathematical Analysis to the Numerical Solution of Partial Differential Equations / Anthony Miller.

Format:

Book

Author/Creator:

Miller, Anthony, author.

Series:

Proceedings of the Centre for Mathematical Analysis, Australian National University ; v. 7.

Proceedings of the Centre for Mathematical Analysis, Australian National University ; v. 7

Language:

English

Subjects (All):

Differential equations.

Physical Description:

1 online resource (v, 213 pages) : illustrations.

Place of Publication:

Canberra : Australian National University, Mathematical Sciences Institute, Centre for Mathematics & its Applications, 1984.

Summary:

In early February 1984 the Centre for Mathematical Analysis at the Australian National University sponsored a seminar on the contribution of mathematical analysis to the numerical solution of partial differential equations. The seminar was held at Merimbula, N.S.W.

Contents:

TABLE OF CONTENTS

Miscellaneous front matter

The role of analysis in the solution of partial differential equations

On the choice of coordinate functions

Sinc methods of approximate solution of partrial differential equations

Computational implementations of the Dorodnitsyn boundary layer formulation

The factorization method for two boundary value problems for ODE's and its relation to the finite difference method

Problems with different time scales

Analysis of explicit finite difference methods used in computational fluid mechanics

The method of lines: theory, software and some applications

Nonconforming elements, patch tests and inter-element constraints

A non-standard post-processing technique in the finite element method

The boundary integral method for PDE's

Corner singularities and boundary integral equations.

Notes:

Description based on publisher supplied metadata and other sources.

Includes bibliographical references.