**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. Hladik, 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)

M. B. Reed, A. Yiannakou &
R. Evering, An ant colony algorithm for the
multi-compartment vehicle routing problem, Applied Soft Computing, 15, 169-176
(2014)

An ant colony algorithm for the
multi-compartment vehicle routing problem. *Applied
Soft Computing*, 15, 169-176 (2014)

**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. Dolezalova
(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. Hladik, 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