**Dr.
Martin B. Reed: List of Publications**

**a)
Refereed Journal Articles**

M. B. Reed & H. Wainman,
"Language competence in mathematics", International Journal of
Mathematics Education in Science & Technology, 9, 31-33 (1978)

M. B. Reed, "A series solution for the root of a
polynomial", Bulletin of the

M. B. Reed, "Learning mathematics in a foreign
language", Pacific Regional Information on Mathematics Education, 4, 22-28
(1982)

M. B. Reed, "The computer analysis of test data
using interactive graphics", Civil Engineering Transactions of the
Institution of Engineers,

M. B. Reed, "Influence of linguistic factors upon
mathematics achievement among second-language learners", International
Journal of Mathematics Education in Science & Technology, 15, 437-446
(1984)

M. B. Reed, "An investigation of numerical errors
in the analysis of consolidation by finite elements", International
Journal of Numerical & Analytical Methods in Geomechanics,
8, 243-257 (1984)

M. B. Reed, "Stresses and displacements around a
cylindrical cavity in soft rock", I.M.A. Journal of Applied Mathematics,
36, 223-245 (1986)

S. McKee & M. B. Reed, "An algorithm for the
alignment of gas turbine components in aircraft", I.M.A. Journal of
Mathematics in Management, 1, 133-144 (1987)

M. B. Reed, "An elastoviscoplastic
model for soft rock", Engineering Computations, 5, 65-70 (1988)

M. B. Reed, "The influence of out-of-plane stress
on a plane strain problem in rock mechanics", International Journal of
Numerical & Analytical Methods in Geomechanics,
12, 173-181 (1988)

X.-D. Pan & M. B. Reed, "A coupled distinct
element - finite element method for large-deformation analysis of rock masses",
International Journal of Rock Mechanics and Mineral Sciences & Geomechanics Abstracts, 28, 93-99 (1991)

M. B. Reed, "Newton-like methods with limited
storage, for the solution of elasto-viscoplasticity
problems", International Journal for Numerical Methods in Engineering, 35,
223-240 (1992)

M. B. Reed, "Incorporation of strain-hardening in
the implicit elasto-viscoplasticity algorithm",
Communications in Numerical Methods in Engineering, 9, 331-336 (1993)

M. B. Reed, P. Grasso, D. Rizzi
& G. Rabajoli, "Improvement of rock
properties by bolting in the plastic zone around a tunnel: a numerical
study", International Journal of Rock Mechanics & Mining Sciences, 30,
567-571 (1993)

Z. Li & M. B. Reed, "A finite element method to
model progressive fracturing", Computer Methods in Applied Mechanics &
Engineering, 120, 303-313 (1995)

Z. Li & M. B. Reed, "Convergence analysis for
an element-by-element finite element Method", Computer Methods in Applied
Mechanics & Engineering, 123, 33-42 (1995)

M. B. Reed, "A new limited-storage quasi-Newton
algorithm for large-scale minimization", Analele
stiintifice Univ. Ovidius
Constanta, 3, 176-185 (1995)

I. Hladík, M. B. Reed & G.
Swoboda, "Robust preconditioners
for linear elasticity FEM analyses", International Journal for Numerical
Methods in Engineering, 40, 2109-2127 (1997)

M. B. Reed, “An H-form variant of the Partitioned Newton method”, Applied
Numerical Mathematics 45 / 1, 79-85 (2003)

M. B. Reed, "L-Broyden
methods: a generalisation of the L-BFGS method to the limited-memory Broyden family”, International Journal of Computer
Mathematics, 86(4), 606-615 (2009)

M. B. Reed, “First steps in Mesh WiFi
network design by genetic algorithm”, SQU Journal for Science, 17(2), 214-223
(2012)

Martin Reed, Aliki Yiannakou & Roxanne Evering, “An
ant colony algorithm for the multi-compartment vehicle routing problem”,
submitted to Applied Soft Computing, currently under revision

**b) Refereed and Published Conference
Proceedings**

M. B. Reed, "Language & mathematics at tertiary
level", in: P. Clarkson (ed.), Research in Mathematics Education in Papua
New Guinea 1981, M.E.C. Press, Lae 1981: pp. 80-96

M. B. Reed, "Techniques for the analysis of seepage
in porous elastic media using parabolic isoparametric
elements", in: He Guangqian & Y. K. Cheung
(eds.), Proceedings of the International Conference on Finite Element Methods,
Shanghai, China, Gordon + Breach, New York 1982: pp. 534-539

M. B. Reed, "Numerical solutions for the
axisymmetric tunnel problem using the Hoek-Brown
criterion", in: G. N. Pande & W. F. van Impe (eds.), NUMOG II: Numerical Models in Geomechanics, M. Jackson & Son, Redruth
1986: pp. 369-374

M. B. Reed, "An elastoviscoplastic
model for soft rock", in: D.R.J. Owen, E. Hinton & E. Ońate (eds.), Computational Plasticity: Models, Software
& Applications, Pineridge Press,

M. B. Reed, "Non-associated flow rules in
computational plasticity", in: G. Swoboda (ed.),
Numerical Methods in Geomechanics,

M. B. Reed & X.-D. Pan, "An efficient implementation of the implicit elasto-viscoplasticity algorithm", in: G. Beer, J. R.
Booker & J. P. Carter (eds.), Computer Methods & Advances in Geomechanics, A.A. Balkema,
Rotterdam 1991: pp. 1203-1208

X.-D. Pan, P. Grasso, M. A. Mahtab
& M. B. Reed, "Application of updated Hoek-Brown
criterion to predict the loosened zone around a tunnel", in: G. Beer, J.
R. Booker & J. P. Carter (eds.), Computer Methods & Advances in Geomechanics, A.A. Balkema,
Rotterdam 1991: pp. 1491-1496

M. B. Reed & X.-D. Pan, "An iterative method for the solution of the
implicit elasto-viscoplasticity equations", in:
J. R. Whiteman (ed.), The Mathematics of Finite Elements & Applications
VII: MAFELAP 1990, Academic Press,

X.-D. Pan & M. B. Reed, "Effects of
longitudinal axial stress and rock mass dilation on analysis of circular
tunnels", in: W. Wittke (ed.), Proc. 7th
International Congress on Rock Mechanics, Aachen 1991, A. A. Balkema, Rotterdam 1991: pp. 785-791

M. B. Reed, P. Grasso, D. Rizzi
& G. Rabajoli, "Improvement of rock
properties in the plastic zone around a tunnel through bolting: a numerical
solution", in: M. Dole˙alová (ed.), Proc. 2nd Czechoslovak Conference on Numerical
Methods in Geomechanics,

M. B. Reed, "Strain-softening in implicit elasto-viscoplasticity", in: M. Dole˙alová (ed.), Proc. 2nd Czechoslovak Conference on Numerical
Methods in Geomechanics,

G. Swoboda, M. B. Reed &
I. Hladík, "Newton-like methods for the solution
of geomechanical problems", in: Z. Rakowski (ed.), Geomechanics 93, Balkema,

M. B. Reed, G. Swoboda &
I. Hladík, "Efficient solution algorithms for
nonlinear analyses", in: H. J. Siriwardene and
M. M. Zaman (eds.), Computer Methods & Advances
in Geomechanics, A.A. Balkema,
Rotterdam 1994; pp. 1999-2004

M. B. Reed, “Element
level solvers for nonlinear finite element analysis”, in: H. R. Arabnia (ed), Proc. 2000 Int Conf on Parallel &
Distributed Processing Techniques & Applications, Volume I, CSREA Press
2000; pp. 9-14

M. Zaki, M. Reed, G. Swoboda, “Impact of iterative solvers on large complex
numerical models”, in: S Valliappan & N Khalili (eds), Proc 1^{st}
Asian-Pacific congress on Computational Mechanics, Elsevier 2001; pp. 171-178

M. Reed, “Codings and
crossover operators in a genetic algorithm for sequence alignment", in: A Lofti (ed), Proc. 5^{th} Int Conf on Recent Advances in
Soft Computing, Nottingham UK 2004; pp. 62-67

M. B. Reed, “An element-by-element iterative algorithm
for finite element analyses”,
in: Iterative Methods, Preconditioning & Numerical PDEs,
Prague 2004; pp 143-147

M. B. Reed, “A multiplicative update for the Broyden QN family”, in: H.R. Arabnia
and G.A. Gravvanis (eds), Proc 2005 Int Conf Scientific
Computing, Las Vegas, CSREA Press 2005; pp. 137-143

M. B. Reed, S Schenk & G Swoboda,
“FTO: a genetic algorithm for tunnel design optimisation”, in: Proc. Genetic
and Evolutionary Computation conference,

N. Thomas & M. Reed, “A hybrid algorithm for
continuous optimisation”, in: Proc 2009 IEEE Congress on Evolutionary Computation,
Trondheim, Norway; IEEE 2009; pp 2584 - 2589

R. T. Evering & M. B. Reed, “An ant colony algorithm for
recycling waste collection”, in: B. Filipic and J. Silc (eds), Bioinspired
Optimization Methods and their Applications, Bohinj,
Slovenia 24-25 May 2012; pp. 221-230

**c) Books**

Martin B. Reed, “Core Maths for the Biosciences”, Oxford
University Press, 2012