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 Institute of Mathematics & its Applications, 16, 24-28 (1980)

 

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, Australia, CE25, 57-62 (1983)

 

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, Swansea 1987: pp. 1677-1690

 

M. B. Reed, "Non-associated flow rules in computational plasticity", in: G. Swoboda (ed.), Numerical Methods in Geomechanics, Innsbruck 1988, A. A. Balkema, Rotterdam 1988: pp. 481-488

 

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, London 1991: pp. 301-312

 

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, Prague 1992: vol. 2, pp. 97-102

 

M. B. Reed, "Strain-softening in implicit elasto-viscoplasticity", in: M. Dole˙alová (ed.), Proc. 2nd Czechoslovak Conference on Numerical Methods in Geomechanics, Prague 1992: vol. 2, pp. 131-137

 

G. Swoboda, M. B. Reed & I. Hladík, "Newton-like methods for the solution of geomechanical problems", in: Z. Rakowski (ed.), Geomechanics 93, Balkema, Rotterdam 1994: pp. 167-173.

 

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 1st 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. 5th 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, Washington DC,  2005 (late breaking paper)

 

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