BURA Collection: Technical papers produced at Brunel University from 1971-2001Technical papers produced at Brunel University from 1971-2001http://bura.brunel.ac.uk/handle/2438/16222014-07-31T19:56:18Z2014-07-31T19:56:18ZNear-best approximations to some problems in applied mathematicsLevin, Dhttp://bura.brunel.ac.uk/handle/2438/27022008-10-06T09:02:44Z1980-01-01T00:00:00ZTitle: Near-best approximations to some problems in applied mathematics
Authors: Levin, D
Abstract: Expansion approximations are considered for the solution of Fredholm integral equations of the second kind, of two-point boundary value problems and of harmonic mixed boundary value problems. In each of these three cases the relation between the expansion approximations and the approximation of a certain integral is investigated. This relation leads to definitions of pointwise and of global "near-best" approxima- tions whose errors are given in terms of the error functional of a "best" quadrature formula.1980-01-01T00:00:00ZA numerical method for the computation of faber polynomials for starlike domainsPapamichael, NSoares, M JStylianopoulos, N Shttp://bura.brunel.ac.uk/handle/2438/26402008-09-10T01:06:20Z1991-01-01T00:00:00ZTitle: A numerical method for the computation of faber polynomials for starlike domains
Authors: Papamichael, N; Soares, M J; Stylianopoulos, N S
Abstract: We describe a simple numerical process (based on the Theodorsen method for conformal mapping ) for computing approximations to Faber polynomials for starlike domains.1991-01-01T00:00:00ZA moving boundary problem arising from the diffusion of oxygen in absorbing tissueCrank, JGupta, Rhttp://bura.brunel.ac.uk/handle/2438/26022012-02-03T10:50:39Z1970-12-31T23:00:00ZTitle: A moving boundary problem arising from the diffusion of oxygen in absorbing tissue
Authors: Crank, J; Gupta, R
Abstract: Approximate analytical and numerical solutions of a partial differential equation are obtained which describe the
diffusion of oxygen in an absorbing medium. Essential
mathematical difficulties are associated with the presence
of a moving boundary which marks the furthest penetration
of oxygen into the medium and also with the need to allow
for an initial distribution of oxygen through the medium.1970-12-31T23:00:00ZExact and approximate boundary data interpolation in the finite element methodBarnhill, REBrown, JHGregory, JAMitchell, ARhttp://bura.brunel.ac.uk/handle/2438/26012012-01-13T10:41:06Z1981-01-01T00:00:00ZTitle: Exact and approximate boundary data interpolation in the finite element method
Authors: Barnhill, RE; Brown, JH; Gregory, JA; Mitchell, AR
Abstract: Matching boundary data exactly in an elliptic problem avoids one of Strang's "variational crimes". (Strang and Fix (1973)). Supporting numerical evidence for this procedure is given by Marshall and Mitchell (1973), who considered the solution of Laplace's equation with Dirichlet boundary data by bilinear elements over squares and measured the errors in the L2 norm. Then Marshall and Mitchell (1978) obtained some surprising results: for certain triangular elements, matching the boundary data exactly produced worse results than the usual procedure of interpolating the boundary data.1981-01-01T00:00:00Z