with application to fluid (2009)
K. A. Cliffe, A. Spence, Claverton Down, Bath Ba Ay, S. J. Tavener, K. A. Cliffe, ...
The numerical analysis of bifurcation problems
ANALYSIS OF BOX SCHEMES FOR REACTIVE FLOW PROBLEMS ∗ (2008)
S. L. Mitchell, K. W. Morton, A. Spence
Abstract. Key properties of the box scheme are shown to be advantageous for reactive flow problems. Unconditional stability and compact conservation are shown by a detailed modified equation analysis...
Two Grid Iteration With A Conjugate Gradient Smoother Applied To A Groundwater Flow Model (2007)
M. J. Hagger, K. A. Cliffe, A. Spence
. The well known two grid method is used to solve the large, sparse, linear system resulting from a finite element method discretisation of \Gammar:(krp) = 0. Several possible choices of smoother are...
We show that for the non-Hermitian eigenvalue problem simplified Jacobi-Davidson with preconditioned Galerkin-Krylov solves is equivalent to inexact Rayleigh quotient iteration where the...
Robbe, M, Sadkane, M, Spence, A
Convergence results are provided for inexact inverse subspace iteration applied to the problem of finding the invariant subspace associated with a small number of eigenvalues of a large sparse...
We show that for the non-Hermitian eigenvalue problem simplified Jacobi-Davidson with preconditioned Galerkin-Krylov solves is equivalent to inexact Rayleigh quotient iteration where the...
Convergence of inexact inverse iteration with application to preconditioned iterative solves (2007)
©The original publication is available at www.springerlink.com
Convergence of inexact inverse iteration with application to preconditioned iterative solves (2007)
In this paper we study inexact inverse iteration for solving the generalised eigenvalue problem A x=λM x. We show that inexact inverse iteration is a modified Newton method and hence obtain...
Is the transcript from the overlapping region of two converging genes part of either gene? (2007)
Poster presentation from BioSysBio 2007: Systems Biology, Bioinformatics and Synthetic Biology © 2007 Spence; licensee BioMed Central Ltd.
Robbe, M, Sadkane, M, Spence, A
This article has been submitted for publication to the SIAM Journal on Matrix Analysis and Applications.
This is the author's final, peer-reviewed version of this document, posted with the publisher's permission
In this paper we consider the computation of a finite eigenvalue and corresponding right eigenvector of a large sparse generalised eigenproblem Ax = Mx using inexact inverse iteration. Our...
Shift for nonsymmetric generalised eigenvalue problems (2006)
This is the author's final, peer-reviewed version. ©Society for Industrial and Applied Mathematics
Shift for nonsymmetric generalised eigenvalue problems (2006)
In this paper we analyze inexact inverse iteration for the nonsymmetric generalized eigenvalue problem Ax = λMx, where M is symmetric positive definite and the problem is diagonalizable. Our...
Inexact inverse iteration for symmetric matrices (2006)
Berns-Müller, J, Graham, IG, Spence, A
The original publication is available at www.sciencedirect.com
Inexact inverse iteration for symmetric matrices (2006)
Berns-Müller, J, Graham, IG, Spence, A
In this paper we analyse inexact inverse iteration for the real symmetric eigenvalue problem Av = λv. Our analysis is designed to apply to the case when A is large and sparse and where iterative...
Analysis of box schemes for reactive flow problems (2006)
Mitchell, SL, Morton, KW, Spence, A
© Society for Industrial and Applied Mathematics
Analysis of box schemes for reactive flow problems (2006)
Mitchell, SL, Morton, KW, Spence, A
Key properties of the box scheme are shown to be advantageous for reactive flow problems. Unconditional stability and compact conservation are shown by a detailed modified equation analysis to enable...
Inexact inverse iteration for symmetric matrices (2006)
Berns-Muller, J., Graham, I. G., Spence, A.
In this paper we analyse inexact inverse iteration for the real symmetric eigenvalue problem Av =lambda v. Our analysis is designed to apply to the case when A is large and sparse and where iterative...
Photonic band structure calculations using nonlinear eigenvalue techniques (2005)
The original publication is available at www.sciencedirect.com
Photonic band structure calculations using nonlinear eigenvalue techniques (2005)
This paper considers the numerical computation of the photonic band structure of periodic materials such as photonic crystals. This calculation involves the solution of a Hermitian nonlinear...
SOME LOW-SPEED PROBLEMS OF HIGH-SPEED AIRCRAFT (2005)
The low-speed aerodynamics of aircraft shapes suitable for achieving a required range at supersonic speeds are treated. No attention is given to 'slewed' wings, nor to possible application of powered...
A new intrinsic thermal parameter for enzymes reveals true temperature optima (2004)
Peterson, M. E., Eisenthal, R, Danson, M. J., Spence, A, Daniel, R. M.
A new intrinsic thermal parameter for enzymes reveals true temperature optima (2004)
Peterson, M. E., Eisenthal, R., Danson, M. J., Spence, A., Daniel, R. M.
Two established thermal properties of enzymes are the Arrhenius activation energy and thermal stability. Arising from anomalies found in the variation of enzyme activity with temperature, a...
Graham, I. G., Spence, A., Vainikko, E.
We describe the construction of parallel iterative solvers for finite-element approximations of the Navier-Stokes equations on unstructured grids using domain decomposition methods. The iterative...
Graham, I. G., Spence, A., Vainikko, E.
We describe the construction of parallel iterative solvers for finite element approximations of the Navier-Stokes equations on unstructured grids using domain decomposition methods. The iterative...
Orthogonal collocation for a nonlinear integro-differential equation (1998)
This paper is concerned with the numerical solution using orthogonal collocation of a nonlinear integro-differential equation which exhibits certain features arising in the modelling of catalytic...
Implicitly restarted Arnoldi with purification for the shift-invert transformation (1997)
The need to determine a few eigenvalues of a large sparse generalised eigenvalue problem Ax = lambda Bx with positive semidefinite B arises in many physical situations, for example, in a stability...
Revised
On the Equivalence of Certain Transformations of Block Matrices under Arnoldi's method (1994)
K.A. Cliffe, T.J. Garratt, J.F. Golding, A. Spence
This paper is concerned with the relationship between the eigenvalues computed by a generalisation of the standard Arnoldi's method applied to certain preconditionings of the eigenvalue problem...
The Viscous Cahn-Hilliard Equation - Part I: Computations (1994)
F. Bai, C.M. Elliott, A. Gardiner, A. Spence, A. M. Stuart
. The viscous Cahn-Hilliard equation arises as a singular limit of the phase-field model of phase transitions. It contains both the Cahn-Hilliard and Allen-Cahn equations as particular limits. The...
Radiative Exchange between Square Parallel Channels in a Concentric Monolith Structure (1994)
D.J. Worth, S.T. Kolaczkowski, A. Spence, P.I. Crumpton
The use of catalytic monoliths in high temperature combustion applications means that heat exchange by radiation plays an important role. Initially, this paper derives the system of integral...
The Galerkin Method for Integral Equations of the First Kind with Logarithmic Kernel: Theory (1988)
The aim of this paper is to develop a straightforward analysis of the Galerkin method for two-dimensional boundary integral equations of the first kind with logarithmic kernels. A distinctive feature...
The aim of this paper is to discuss the numerical performance of the Galerkin method for the approximate solution of several two-dimensional Fredholm integral equations of the first kind with...
On Superconvergence Properties of Galerkin's Method for Compact Operator Equations (1983)
Galerkin's method applied to compact operator equations often exhibits superconvergence. In this paper we present a unified framework for an error analysis which deals with the Galerkin and discrete...
Non-simple Turning Points and Cusps (1982)
Stimulated by a problem in the theory of thermal ignition, we prove some results on non-simple turning points and corresponding cusps for two parameter-dependent non-linear problems. These results...
The Convergence of Operator Approximations at Turning Points (1981)
We consider the convergence of solution curves of approximations to parameter-dependent operator equations of the form G(λ, x) = 0. Provided Gx(λ, x) remains non-singular this problem is catered...
Exposure to styrene and mortality from nonmalignant respiratory diseases.
Welp, E, Partanen, T, Kogevinas, M, Andersen, A, Bellander, T, Biocca, M, ...
A cohort of 34,560 men and 6128 women employed in 660 European factories manufacturing reinforced plastic products, followed up originally to assess the risk of cancer, was used to assess the risk of...
Yung, W K A, Albright, R E, Olson, J, Fredericks, R, Fink, K, Prados, M D, ...
A randomized, multicentre, open-label, phase II study compared temozolomide (TMZ), an oral second-generation alkylating agent, and procarbazine (PCB) in 225 patients with glioblastoma multiforme at...