Journal Articles
[1] L.K. Forbes, A note on the solution of the one-dimensional
unsteady equations of arterial blood flow by the method of characteristics,
J. Austral. Math. Soc. Ser. B 21 (1979) 45-52.
[2] L.K. Forbes, On the evolution of shock waves in mathematical
models of the aorta,
J. Austral. Math. Soc. Ser. B 22 (1981) 257-269.
[3] L.K. Forbes and L.W. Schwartz, Free-surface flow over a
semi-circular obstruction,
J. Fluid Mech. 114 (1982) 299-314.
[4] L.K. Forbes and L.W. Schwartz, Supercritical flow past blunt
bodies in shallow water,
Zeit. Angew. Math. Phys. (ZAMP) 32 (1981) 314-328.
[5] L.K. Forbes, On the wave resistance of a submerged
semi-elliptical body,
J. Engin. Math. 15 (1981) 287-298.
[6] L.K. Forbes, Non-linear, drag-free flow over a submerged
semi-elliptical body,
J. Engin. Math. 16 (1982) 171-180.
[7] L.K. Forbes, Free-surface flow over a semi-circular obstruction,
including the influence of gravity and surface tension,
J. Fluid Mech. 127 (1983) 283-297.
[8] L.K. Forbes, High-order series solution for unsteady thermal
blooming with crosswind,
Zeit. Angew. Math. Phys. (ZAMP) 34 (1983) 334-346.
[9] L.K. Forbes, Irregular frequencies and iterative methods in
the solution of steady surface-wave problems in hydrodynamics,
J. Engin. Math. 18 (1984) 299-313.
[10] L.K. Forbes, Series solution for transient thermal blooming
of an axi-symmetric laser beam,
Zeit. Angew. Math. Phys. (ZAMP) 36 (1985) 275-285.
[11] L.K. Forbes, On the effects of non-linearity in free-surface
flow about a submerged point vortex,
J. Engin. Math. 19 (1985) 139-155.
[12] L.K. Forbes, A numerical method for non-linear flow about
a submerged hydrofoil,
J. Engin. Math. 19 (1985) 329-339.
[13] L.K. Forbes, Surface waves of large amplitude beneath an
elastic sheet. Part 1. High-order series solution,
J. Fluid Mech. 169 (1986) 409-428.
[14] L.K. Forbes, Periodic solutions of high accuracy to the
forced Duffing equation: Perturbation series in the forcing amplitude,
J. Austral. Math. Soc. Ser. B 29 (1987) 21-38.
[15] L.K. Forbes, Surface waves of large amplitude beneath an
elastic sheet. Part 2. Galerkin solution,
J. Fluid Mech. 188 (1988) 491-508.
[16] L.K. Forbes, Critical free-surface flow over a semi-circular
obstruction, J. Engin. Math. 22 (1988) 3-13.
[17] L.K. Forbes, A series analysis of forced transverse
oscillations in a spring-mass system,
SIAM J. Appl. Math. 49 (1989) 704-719.
[18] L.K. Forbes, An algorithm for three-dimensional free-surface
problems in hydrodynamics,
J. Comput. Phys. 82 (1989) 330-347.
[19] L.K. Forbes, Two-layer critical flow over a semi-circular
obstruction,
J. Engin. Math. 23 (1989) 325-342.
[20] L.K. Forbes and G.C. Hocking, Flow caused by a point sink
in a fluid having a free surface,
J. Austral. Math. Soc. Ser. B 32 (1990) 231-249.
[21] L.K. Forbes, Stationary patterns of chemical concentration
in the Belousov-Zhabotinskii reaction,
Physica D 43 (1990) 140-152.
[22] L.K. Forbes and C.A. Holmes, Limit-cycle behaviour in a model
chemical reaction: the cubic autocatalator,
J. Engin. Math. 24 (1990) 179-189.
[23] G.C. Hocking and L.K. Forbes, A note on the flow induced by
a line sink beneath a free surface,
J. Austral. Math. Soc. Ser. B 32 (1991) 251-260.
[24] L.K. Forbes, Limit-cycle behaviour in a model chemical
reaction: the Sal’nikov thermokinetic oscillator,
Proc. Roy. Soc. London Ser. A 430 (1990) 641-651.
[25] L.K. Forbes, Forced transverse oscillations in a simple
spring-mass system,
SIAM J. Appl. Math. 51 (1991) 1380-1396.
[26] L.K. Forbes, On stability and uniqueness of stationary
one-dimensional patterns in the Belousov-Zhabotinsky reaction,
Physica D 50 (1991) 42-58.
[27] G.C. Hocking and L.K. Forbes, Subcritical free-surface flow
caused by a line source in a fluid of finite depth,
J. Engin. Math. 26 (1992) 455-466.
[28] L.K. Forbes and G.C. Hocking, Flow induced by a line sink
in a quiescent fluid with surface-tension effects,
J. Austral. Math. Soc. Ser. B 34 (1993) 377-391.
[29] L.K. Forbes, M.R. Myerscough and B.F. Gray, On the presence
of limit cycles in a model exothermic reaction: Sal’nikov's oscillator
with two temperature-dependent reaction rates,
Proc. Roy. Soc. London, Ser. A 435 (1991) 591-604.
[30] L.K. Forbes, One-dimensional pattern formation in a model
of burning,
J. Austral. Math. Soc. Ser. B 35 (1993) 145-173.
[31] L.K. Forbes and S.R. Belward, Atmospheric interfacial waves,
Phys. Fluids Ser. A 4 (1992) 2222-2229.
[32] L.K. Forbes, A.M. Watts and G.A. Chandler, Flow fields
associated with in situ mineral leaching,
J. Austral. Math. Soc. Ser. B 36 (1994) 133-151.
[33] L.K. Forbes, An analytical and numerical study of the forced
vibration of a spherical cavity,
J. Sound Vib. 172 (1994) 471-489.
[34] S.R. Belward and L.K. Forbes, Fully non-linear two layer flow
over arbitrary topography,
J. Engin. Math. 27 (1993) 419-432.
[35] L.K. Forbes and B.F. Gray, Forced oscillations in an
exothermic chemical reaction,
Dynamics and Stability of Systems 9 (1994) 253-269.
[36] L.K. Forbes, Progress toward a mining strategy based on
mineral leaching with secondary recovery,
Appl. Math. Modelling 20 (1996) 16-25.
[37] S.R. Belward and L.K. Forbes, Interfacial waves and hydraulic
falls: some applications to atmospheric flows in the lee of mountains,
J. Engin. Math. 29 (1995) 161-179.
[38] B.F. Gray and L.K. Forbes, Analysis of chemical kinetic
systems over the entire parameter space. IV. The Sal’nikov
oscillator with two temperature-dependent reaction rates,
Proc. Roy. Soc. London Ser. A 443 (1994) 621-642.
[39] S. Crozier, L.K. Forbes and D.M. Doddrell, The design of
transverse gradient coils of restricted length by simulated annealing,
J. Magn. Reson. Ser. A 107 (1994) 126-128.
[40] L.K. Forbes, G.C. Hocking and G.A. Chandler, A note on
withdrawal through a point sink in fluid of finite depth,
J. Austral. Math. Soc. Ser. B 37 (1996) 406-416.
[41] H.S. Sidhu, L.K. Forbes and B.F. Gray, Analysis of the
unified thermal and chain branching model of hydrocarbon oxidation,
Proc. Roy. Soc. London Ser. A 449 (1995) 493-514.
[42] L.K. Forbes and G.C. Hocking, The bath-plug vortex,
J. Fluid Mech. 284 (1995) 43-62.
[43] L.K. Forbes and S.R. Belward, Atmospheric interfacial waves
in the presence of two moving fluid layers,
Phys. Fluids 6 (1994) 3306-3316.
[44] M.J. Sexton and L.K. Forbes, A note on oscillations in a
simple model of a chemical reaction,
J. Austral. Math. Soc. Ser. B 37 (1996) 451-457.
[45] C. Mahony, L.K. Forbes, S. Crozier and D.M. Doddrell, A novel
approach to the calculation of RF magnetic and electric fields for NMR
coils of arbitrary geometry,
J. Magn. Reson. Ser. B 107 (1995) 145-151.
[46] L.K. Forbes, S. Crozier and D.M. Doddrell, Determining
current distributions for RF resonators in magnetic resonance imaging,
Meas. Sci. Technol. 6 (1995) 284-292.
[47] L.K. Forbes, Stationary circular target patterns in a surface
burning reaction,
J. Engin. Math. 30 (1996) 471-486.
[48] S. Crozier, K. Luescher, L.K. Forbes and D.M. Doddrell,
Optimized small-bore, high-pass resonator designs,
J. Magn. Reson. Ser. B 109 (1995) 1-11.
[49] H.S. Sidhu, L.K. Forbes and B.F. Gray, A detailed study of
the effects of forcing a hydrocarbon oxidation reaction,
Mathl. Comput. Modelling 24 (1996) 65-88.
[50] L.K. Forbes, A two-dimensional model for large-scale bushfire
spread,
J. Austral. Math. Soc. Ser. B 39 (1997) 171-194.
[51] L.K. Forbes, S. Crozier and D.M. Doddrell, Calculating current
densities and fields produced by shielded magnetic resonance imaging
probes,
SIAM J. Appl. Math. 57 (1997) 401-425.
[52] L.K. Forbes and S.R. Belward, Atmospheric solitary waves: some
applications to the Morning Glory of the Gulf of Carpentaria,
J. Fluid Mech. 321 (1996) 137-155.
[53] H.S. Sidhu, L.K. Forbes and B.F. Gray, Periodically forced
hydrocarbon oxidation reaction in a CSTR,
Int. J. Bifurc. Chaos 6 (1996) 2321-2341.
[54] S. Crozier, L.K. Forbes, W.U. Roffmann, K. Luescher and
D.M. Doddrell, Currents and fields in shielded RF resonators for NMR/MRI,
Meas. Sci. Technol. 7 (1996) 1083-1086.
[55] M.J. Sexton and L.K. Forbes, An exothermic chemical reaction
with linear feedback control,
Dynamics and Stability of Systems 11 (1996) 219-238.
[56] L.K. Forbes and A.H. Forbes, A note on the qualitative
structure of a quasi-stationary tropical cyclone in the vicinity of
the eye,
J. Engin. Math. 33 (1998) 1-14.
[57] L.K. Forbes, S. Crozier and D.M. Doddrell, An analysis and
optimization of elliptical RF probes used in magnetic resonance imaging,
Meas. Sci. Technol. 7 (1996) 1281-1290.
[58] H.S. Sidhu, L.K. Forbes and B.F. Gray, Forced reaction in a
CSTR: a comparison between the full system and the reduced model,
Chem. Eng. Sci. 52 (1997) 2667-2676.
[59] S. Crozier, L.K. Forbes, W.U. Roffmann, K. Luescher
and D.M. Doddrell, A methodology for current density calculations in
high frequency, RF resonators,
Concepts in Magnetic Resonance 9 (1997) 195-210.
[60] M.J. Sexton and L.K. Forbes, A study of the dynamics of a
continuously stirred tank reactor with feedback control of the temperature,
Dynamics and Stability of Systems 12 (1997) 89-107.
[61] A.J. Koerber and L.K. Forbes, An analysis of two and three
dimensional unsteady withdrawal flows, using shallow water theory,
J. Austral. Math. Soc. Ser. B 41 (2000) 338-357.
[62] L.K. Forbes, S. Crozier and D.M. Doddrell, Rapid computation
of static fields produced by thick circular solenoids,
IEEE Trans. Magnetics 33 (1997) 4405-4410.
[63] L.K. Forbes and G.C. Hocking, Withdrawal from a two-layer
inviscid fluid in a duct,
J. Fluid Mech. 361 (1998) 275-296.
[64] S. Crozier, L.K. Forbes and D.M. Doddrell, A novel,
open access, elliptical cross-section magnet for paediatric MRI,
Meas. Sci. Technol. 9 (1998) 113-119.
[65] L.K. Forbes and B.F. Gray, Burning down the house: the time
to ignition of an irradiated solid,
Proc. Roy. Soc. London Ser. A 454 (1998) 2667 - 2688.
[66] S.W. McCue and L.K. Forbes, Bow and stern flows with constant
vorticity,
J. Fluid Mech. 399 (1999) 277 – 300.
[67] L.K. Forbes and S.W. McCue, Optimal fluid injection
strategies for in situ mineral leaching in two dimensions,
J. Engin. Math. 36 (1999) 185 - 206.
[68] S.W. McCue and L.K. Forbes, Smoothly attaching bow flows
with constant vorticity,
ANZIAM J. (formerly: J. Austral. Math. Soc. Ser. B)
42 (2001) 354 - 371.
[69] S.R. Belward and L.K. Forbes, A simple model for oilspill
containment,
ANZIAM J. (formerly: J. Austral. Math. Soc. Ser. B)
43 (2001) 237 - 246.
[70] A.J. Koerber and L.K. Forbes, Two-dimensional steady free
surface flow into a semi-infinite mat sink,
Phys. Fluids 10 (1998) 2781 - 2785.
[71] C.J. Snape-Jenkinson, L.K. Forbes and S. Crozier, A direct
algorithm for the rapid calculation of the magnetic field spherical
harmonics produced by an arbitrary circular arc,
IEEE Trans. Magnetics 35 (1999) 4159 - 4165.
[72] L.K. Forbes, S. Crozier and D.M. Doddrell, Calculating current
densities and fields due to shielded bi-planar radio-frequency coils,
Meas. Sci. Technol. 9 (1998) 1609 - 1619.
[73] A.J. Koerber and L.K. Forbes, Cusp flows due to an extended
sink in two dimensions,
J. Engin. Math. 36 (1999) 349 - 360.
[74] G.C. Hocking and L.K. Forbes, Withdrawal from a fluid of
finite depth through a line sink, including surface tension effects,
J. Engin. Math. 38 (2000) 91 - 100.
[75] G.C. Hocking, J.-M. Vanden-Broeck and L.K. Forbes, A note on
withdrawal from a fluid of finite depth through a point sink,
ANZIAM J. (formerly: J. Austral. Math. Soc. Ser. B)
44 (2002) 181 - 191.
[76] L.K. Forbes and W. Derrick, A combustion wave of permanent form
in a compressible gas,
ANZIAM J. (formerly: J. Austral. Math. Soc. Ser. B)
43 (2001) 35 - 58.
[77] L.K. Forbes, The design of a full-scale industrial mineral
leaching process,
Appl. Math. Modelling 25 (2001) 233 - 256.
[78] S. Crozier, W. Roffmann, K. Luescher, C.J. Snape-Jenkinson,
L.K. Forbes and D.M. Doddrell,
An "openable" high strength gradient set for orthopedic MRI,
J. Magn. Reson. 139 (1999) 81 - 89.
[79] C.J. Snape-Jenkinson, S. Crozier and L.K. Forbes, NMR shim
coil design utilising a rapid spherical harmonic calculation method,
ANZIAM J. (formerly: J. Austral. Math. Soc. Ser. B)
43 (2002) 375 - 386.
[80] S.W. McCue and L.K. Forbes, Free surface flows emerging from
beneath a semi-infinite plate with constant vorticity,
J. Fluid Mech. 461 (2002) 387 - 407.
[81] C. Belward, T. Howes and L.K. Forbes, An analytic
simplification for the reconstruction problem of electrical
impedance tomography,
Inter. J. Imaging Systems and Technol. 12
(2002) 9 - 15.
[82] S. Crozier, L.K. Forbes, W.U. Roffmann, K. Luescher
and D.M. Doddrell,
Incorporating phase retardation effects into radiofrequency resonator
models: application to magnetic resonance microscopy,
Meas. Sci. Technol. 11 (2000) 221 - 226.
[83] L.K. Forbes and G.C. Hocking, On the computation of steady
axi-symmetric withdrawal from a two-layer fluid,
Comput. Fluids 32 (2003) 385 - 401.
[84] L.K. Forbes and S. Crozier, On a possible mechanism for
peripheral nerve stimulation during magnetic resonance imaging scans,
Phys. Med. Biol. 46 (2001) 591 - 608.
[85] G.C. Hocking and L.K. Forbes, Supercritical withdrawal from
a two-layer fluid through a line sink if the lower layer is of
finite depth,
J. Fluid Mech. 428 (2001) 333 - 348.
[86] C.J. Snape-Jenkinson, S. Crozier and L.K. Forbes,
A flexible method for rapid force computation in elliptical
magnets,
Meas. Sci. Technol. 12 (2001) 716 - 722.
[87] S.Crozier, C.J. Snape-Jenkinson and L.K. Forbes, The
stochastic design of force-minimized compact magnets for
high-field magnetic resonance imaging applications,
IEEE Trans. Applied Supercond. 11 (2001)
4014 - 4022.
[88] L.K. Forbes and S. Crozier, Asymmetric zonal shim coils for
magnetic resonance applications,
Med. Phys. 28 (2001) 1644 - 1651.
[89] L.K. Forbes and S. Crozier, A novel target-field method
for finite-length Magnetic Resonance shim coils: Part 1: Zonal shims,
J. Phys. D: Appl. Phys. 34 (2001) 3447 - 3455.
[90] M.A. Brideson, L.K. Forbes and S. Crozier, Determining
complicated winding patterns for shim coils using stream functions
and the target-field method,
Concepts in Magnetic Resonance 14 (2002) 9 - 18.
[91] T.E. Stokes, G.C. Hocking and L.K. Forbes, Unsteady
free-surface flow induced by a line sink,
J. Engin. Math. 47 (2003) 137 - 160.
[92] L.K. Forbes, G.C. Hocking and S. Wotherspoon, On the
lens of fresh ground-water within a tropical island,
J. Engin. Math. 48 (2004) 69 - 91.
[93] L.K. Forbes and S. Crozier, A novel target-field method
for finite-length Magnetic Resonance shim coils: Part 2: Tesseral shims,
J. Phys. D: Appl. Phys. 35 (2002) 839 - 849.
[94] S. Crozier, L.K. Forbes and M.A. Brideson, Ellipsoidal
Harmonic (Lamé) MRI Shims,
IEEE Trans. Applied Superconductivity 12 (2002)
1880 - 1885.
[95] G.C. Hocking and L.K. Forbes, The lens of freshwater
in a tropical island – 2d withdrawal,
Comput. Fluids 33 (2004) 19 - 30.
[96] M.A. Brideson, L.K. Forbes and S. Crozier, Winding
patterns for actively-shielded shim coils with asymmetric target-fields,
Meas. Sci. Technol. 14 (2003) 484 - 493.
[97] D.P. Bulte, L.K. Forbes and S. Crozier, Phase-retardation
effects at radio frequencies in MRI applications,
ANZIAM J. 45 (2004) 495 - 510.
[98] L.K. Forbes and S. Crozier, A novel target-field method
for Magnetic Resonance shim coils: Part 3: Shielded Zonal and
Tesseral coils,
J. Phys. D: Appl. Phys. 36 (2003) 68 - 80.
[99] L.K. Forbes and G.C. Hocking, Flow due to a sink near
a vertical wall, in infinitely deep fluid,
Comput. Fluids 34 (2005) 684 - 704.
[100] T.E. Stokes, G.C. Hocking and L.K. Forbes, Unsteady
flow induced by a withdrawal point beneath a free surface,
ANZIAM J. 47 (2005) 185 - 202.
[101] M.A. Brideson, L.K. Forbes and S. Crozier, Winding
patterns for biplanar MRI shim coils with rectangular and
circular target-field regions,
Meas. Sci. Technol. 15 (2004) 1019 - 1025.
[102] L.K. Forbes and S. Crozier, Novel target-field
method for designing shielded bi-planar shim and gradient coils,
IEEE Trans. on Magnetics 40 (2004)
1929 - 1938.
[103] P. While and L.K. Forbes, Electromagnetic
fields in the human body due to switched transverse
gradient coils in MRI,
Phys. Med. Biol. 49 (2004) 2779 - 2798.
[104] S.S. Shabala, S.P. Ellingsen, S.E. Kurtz
and L.K. Forbes,
Evolution of HII regions in hierarchically structured
molecular clouds,
Month. Not. R. Astron. Soc. 372 (2006)
457 - 466.
[105] A.I.S. Munro and L.K. Forbes,
Including ionization in a simple model of single-bubble
sonoluminescence,
ANZIAM J. 47 (2006) 333 - 358.
[106] P.T. While, L.K. Forbes and S. Crozier,
A time-harmonic target-field method for designing RF coils
in MRI,
Meas. Sci. Technol. 16 (2005) 997 - 1006.
[107] L.K. Forbes, M.A. Brideson and S. Crozier,
A Target-Field Method to Design Circular Biplanar Coils,
for Asymmetric Shim and Gradient Fields,
IEEE Trans. on Magnetics 41 (2005)
2134 - 2144.
[108] C.E. Trenham and L.K. Forbes,
A comparison of two- and three-variable models for
combustion in sealed containers,
ANZIAM J. 47 (2006) 527 - 540.
[109] P.T. While, L.K. Forbes and S. Crozier,
An inverse method for designing loaded RF coils in MRI,
Meas. Sci. Technol. 17 (2006) 2506 - 2518.
[110] T.G. Callaghan and L.K. Forbes,
Computing large-amplitude progressive Rossby waves on a sphere,
J. Comput. Phys. 217 (2006) 845 - 865.
[111] L.K. Forbes, G.C. Hocking and D.E. Farrow,
An intrusion layer in stationary incompressible fluid: Part 1:
Periodic waves,
European J. Appl. Maths. 17 (2006) 557 - 575.
[112] L.K. Forbes and G.C. Hocking,
An intrusion layer in stationary incompressible fluid: Part 2:
A solitary wave,
European J. Appl. Maths. 17 (2007) 577 - 595.
[113] L.K. Forbes, M.J. Chen and C.E. Trenham,
Computing unstable periodic waves at the interface of
two inviscid fluids in uniform vertical flow,
J. Comput. Phys. 221 (2007) 269 - 287.
[114] T.E. Stokes, G.C. Hocking and L.K. Forbes,
Unsteady free surface flow induced by a line sink in a
fluid of finite depth,
Comput. Fluids 37 (2008) 236 - 249.
[115] P.T. While, L.K. Forbes and S. Crozier,
An inverse method for designing RF phased array coils in MRI
- theoretical considerations,
Meas. Sci. Technol. 18 (2007) 245 - 259.
[116] L.K. Forbes, G.C. Hocking and T.E. Stokes,
On starting conditions for a submerged sink in a fluid,
J. Engin. Math. 16 (2008) 55 - 68.
[117] G.C. Hocking and L.K. Forbes,
A note on the flow of an inhomogeneous intrusion into a
two-layer fluid,
European J. Appl. Maths. 18 (2007) 181 - 193.
[118] L.K. Forbes, M.A. Brideson, S. Crozier and P.T. While,
An analytical approach to the design of quiet cylindrical
asymmetric gradient coils in MRI,
Concepts in Magnetic Resonance Part B 31B
(2007) 218 - 236.
[119] L.K. Forbes and G.C. Hocking,
Unsteady draining flows from a rectangular tank,
Phys. Fluids 19 082104 (2007) 14 pages.
[120] M.J. Chen and L.K. Forbes,
Steady periodic waves in a 3-layer fluid with shear in the
middle layer,
J. Fluid Mech. 594 (2008) 157 - 181.
[121] S.A. Hadley and L.K. Forbes,
Dynamical systems analysis of a two-level trophic food web
in the Southern Oceans,
ANZIAM J. 50 (E) (2009) E24 - E55.
[122] P.T. While, L.K. Forbes and S. Crozier,
3D gradient coil design - initial theoretical framework,
IEEE Trans. Biomed. Eng. 56
(2009) 1169 - 1183.
[123] L.K. Forbes,
The Rayleigh-Taylor instability for inviscid and viscous fluids,
J. Engin. Math. 65 (2009) 273 - 290.
[124] P.T. While, L.K. Forbes and S. Crozier,
3D gradient coil design - toroidal surfaces,
J. Magn. Reson. 198 (2009) 31 - 40.
[125] G.C. Hocking and L.K. Forbes,
Steady flow of a buoyant plume into a constant density layer,
J. Engin. Math. 67 (2010) 341 - 350.
[126] L.K. Forbes,
Sloshing of an ideal fluid in a horizontally-forced rectangular
tank,
J. Engin. Math. 66 (2010) 395 - 412.
[127] L.K. Forbes and G.C. Hocking,
Unsteady draining of a fluid from a circular tank,
Appl. Math. Modelling 34 (2010) 3958 - 3975.
[128] S.A. Hadley and L.K. Forbes,
Dynamical systems analysis of a five dimensional trophic food
web model in the Southern Oceans,
J. Appl. Math. 2009 (2009)
Article ID 575047, 17 pages.
[129] G.C. Hocking, T.E. Stokes and L.K. Forbes,
A rational approximation to the evolution of a free surface
during fluid withdrawal through a point sink,
ANZIAM J. 51 (2009) E16 - E36.
[130] P.T. While, L.K. Forbes and S. Crozier,
Designing gradient coils with reduced hot spot temperatures,
J. Magn. Reson. 203 (2010) 91 - 99.
[131] P.T. While, L.K. Forbes and S. Crozier,
Calculating temperature distributions for gradient coils,
Concepts in Magnetic Resonance Part B 37B
(2010) 146 - 159.
[132] M.J. Chen and L.K. Forbes,
Accurate methods for computing inviscid and viscous
Kelvin-Helmholtz instability,
J. Comput. Phys. 230 (2011) 1499 - 1515.
[133] L.K. Forbes,
A cylindrical Rayleigh-Taylor instability - radial outflow
from pipes or stars,
J. Engin. Math. 70 (2011) 205 - 224.
[134] P.T. While and L.K. Forbes,
Equi-flux streamline seeding for three-dimensional
vector fields,
J. Engin. Math. 76 (2012) 81 - 100.
[135] J.M. Jackson, M.A. Brideson, L.K. Forbes and S. Crozier,
Tikhonov regularization approach for acoustic noise reduction in an
asymmetric, self-shielded MRI gradient coil,
Concepts in Magnetic Resonance Part B 37B
(2010) 167 - 179.
[136] L.K. Forbes and G.C. Hocking,
Unsteady plumes in planar flow of viscous and inviscid fluids,
IMA J. Appl. Maths. (to appear).
[137] P.T. While, L.K. Forbes and S. Crozier,
3D gradient coil design for open MRI systems,
J. Magn. Reson. 207
(2010) 124 - 133.
[138] S.J. Walters, L.K. Forbes and P.D. Jarvis,
A kinematical approach to gravitational lensing using new formulae
for refractive index and acceleration,
MNRAS (Monthly Notices of Royal Astron. Assoc.)
409 (2010) 953 - 962.
[139] M.J. Chen and L.K. Forbes,
Waves in two-layer shear flow for viscous and inviscid fluids,
European J. Mech. - B/Fluids
30 (2011) 387 - 404.
[140] L.K. Forbes, M.A. Brideson and P.T. While,
A theoretical method for the use of a phantom to enhance image
reconstruction in MRI,
Concepts in Magnetic Resonance Part B 39
(2011) 98 - 108.
[141] S.J. Walters and L.K. Forbes,
A note on a linearized approach to gravitational lensing,
MNRAS (Monthly Notices of Royal Astron. Assoc.)
416 (2011) 3067 - 3074.
[142] P.T. While, L.K. Forbes and S. Crozier,
Minimizing hot spot temperature in asymmetric gradient coil design,
IEEE Trans. Biomed. Eng. 58 (2011) 2418 - 2425.
[143] K. Chambers and L.K. Forbes,
The magnetic Rayleigh-Taylor instability for inviscid and viscous
fluids,
Phys. Plasmas 18, 052101 (2011) 25 pages.
[144] T.E. Stokes, G.C. Hocking and L.K. Forbes,
Steady free surface flows induced by a submerged ring source or sink,
J. Fluid Mech. 694 (2012) 352 - 370.
[145] G.C. Hocking, S.A. Chen and L.K. Forbes,
Withdrawal from the lens of freshwater in a tropical island: the
two interface case,
Comput. Fluids 50 (2011) 175 - 180.
[146] J.M. Jackson, L.K. Forbes, P.T. While and M.A. Brideson,
Could image processing enable reduced acoustic noise during MRI scans?,
Concepts in Magnetic Resonance Part B 39
(2011) 191 - 205.
[147] L.K. Forbes,
Rayleigh-Taylor instabilities in axi-symmetric fluid outflow from
a point source,
ANZIAM J. 53 (2011) 87 - 121.
[148] R.J. Holmes, G.C. Hocking, L.K. Forbes and N.Y. Baillard,
Waveless subcritical flow past symmetric bottom topography,
Europ. J. Appl. Maths. 24 (2013) 213 - 230.
[149] D.E. Horsley and L.K. Forbes,
A spectral method for Faraday waves in rectangular tanks,
J. Engin. Math. 79 (2013) 13 - 33.
[150] J.M. Cosgrove and L.K. Forbes,
Selective withdrawal of a two-layer viscous fluid,
ANZIAM J. 53 (2012) 253 - 277.
[151] N. Beeton and L.K. Forbes,
Dynamical systems analysis of a model describing Tasmanian Devil
Facial Tumor Disease,
ANZIAM J. 54 (2012) 89 - 107.
[152] G.C. Hocking, R.J. Holmes and L.K. Forbes,
A note on waveless subcritical flow past a submerged semi-ellipse,
J. Engin. Math. 81 (2013) 1 - 8.
[153] P.T. While, M.S. Poole, L.K. Forbes and S. Crozier,
Minimum maximum temperature gradient coil design,
Magn. Reson. Med. 70 (2013) 584 - 594.
[154] N.A. Letchford, L.K. Forbes and G.C. Hocking,
Inviscid and viscous models of axisymmetric fluid jets or plumes,
ANZIAM J. 53 (2012) 228 - 250.
[155] M.J. Chen and L.K. Forbes,
Spatially periodic temperature modulation of a compressible fluid,
European J. Mech. - B/Fluids 42 (2013) 129 - 141.
[156] K. Chambers and L.K. Forbes,
The cylindrical magnetic Rayleigh-Taylor instability for
viscous fluids,
Phys. Plasmas 19, 102111 (2012) 13 pages.
[157] L.K. Forbes and J.M. Cosgrove,
A line vortex in a two-fluid system,
J. Engin. Maths. 84 (2014) 181 - 199.
[158] E. Doddridge, L.K. Forbes and B. Yates,
Chemical kinetics of a bi-palladium complex,
J. Phys. Chem. A 117 (2013) 541 - 549.
[159] L.K. Forbes,
Thermal solitons: Travelling waves in combustion,
Proc. Roy. Soc. London A ,469, 20120587
(2013) 11 pages
[160] L.K. Forbes and M.A. Brideson,
Exact Solutions for Interfacial Outflows with Straining,
ANZIAM J. (to appear)
[161] L.K. Forbes,
A note on travelling waves in competitive reaction systems,
ANZIAM J. 55 (2013) 1 - 13.
[162] L.K. Forbes,
How strain and spin may make a Star bi-polar,
J. Fluid Mech. 746 (2014) 332 - 367.
Papers in conference proceedings
[1C] L.K. Forbes, Two-dimensional, potential flow near the stern
of a ship,
Proc. 18th. Midwestern Mech. Conf., Iowa City (1983) 411-414.
[2C] L.K. Forbes, Progress in the calculation of non-linear
free-surface potential flows in three dimensions,
Proc. 4th. Int. Conf. on Numer. Ship Hydro., Washington, D.C.
(1985) 343-358 (including discussion).
[3C] A.M. Watts, D.H. Smith and L.K. Forbes, Numerical Modelling
of a SCRAMJET,
Computational Techniques and Applications Proc. CTAC, Griffith Univ.
(W.L. Hogarth, B.J. Noye, eds.) (1990) 533-540 Hemisphere Publ. Corp.,
New York.
[4C] G.A. Chandler and L.K. Forbes, The fundamental solutions method
for a free-boundary problem,
Computational Techniques and Applications Proc. 6th. CTAC, ANU Canberra
(D. Stewart, H. Gardner, D. Singleton, eds.) 93 (1994) 122-130
World Scientific, Singapore.
[5C] S. Crozier, L.K. Forbes, W.U. Roffmann, K. Luescher and
D.M. Doddrell, Novel models and designs for small-bore RF resonators,
Bull. Magn. Reson. 17 (1995).
[6C] C.J. Snape-Jenkinson, L.K. Forbes and S. Crozier, A method for
the rapid calculation of magnetic forces in superconducting MR magnets,
Proc. International Soc. for Magnetic Resonance in Medicine,
8th. annual meeting (2000) p. 1375.
[7C] L.K. Forbes and S. Crozier, Applied Mathematics and MRI Coil Design,
Proc. EMAC 2002 (5th Biennial Eng. Math. Applic. Conf.),
QUT Brisbane (M. Pemberton, I. Turner, P. Jacobs, eds.) (2002)
pp. 41 – 48. The Institution of Engineers, Australia.
[8C] L.K. Forbes and S. Crozier, A Design Method for Asymmetric
and Symmetric, Planar Gradient and Shim Coils,
Proc. Int. Soc. for Magnetic Resonance in Medicine (ISMRM), Kyoto
11 (2004) p. 1640.
[9C] D.S. Holloway and L.K. Forbes, Boundary element computation
of fresh-water groundwater lenses,
Proc. EMAC (Engineering Mathematics and Applications Conference,
Melbourne 2005)
ANZIAM J. 47 (2006) C446 - C461.
[10C] L.K. Forbes, M.A. Brideson, S. Crozier and P.T. While,
Calculating the movement of MRI coils, and minimizing their noise,
Proc. EMAC (Engineering Mathematics and Applications Conference,
Hobart 2007)
ANZIAM J. 49 (2007) C17 - C35.
[11C] P.T. While, L.K. Forbes and S. Crozier,
An inverse method for RF phased array coil design in MRI equipment,
Proc. EMAC (Engineering Mathematics and Applications Conference,
Hobart 2007)
ANZIAM J. 49 (2007) C1 - C16.
[12C] M.J. Chen and L.K. Forbes,
A study of nonlinear waves and resonance in intrusion flows,
Proc. EMAC (Engineering Mathematics and Applications Conference,
Hobart 2007)
ANZIAM J. 49 (2007) C51 - C68.
[13C] M.A. Brideson, J. Jackson, L.K. Forbes and S. Crozier,
Computing Lorentz forces generated by gradient coils in an
open MRI system,
Proc. EMAC (Engineering Mathematics and Applications Conference,
Hobart 2007)
ANZIAM J. 49 (2008) C423 - C438.
[14C] L.K. Forbes,
Spectral solution methods for free-surface flow: the
Rayleigh-Taylor problem,
Proc. CTAC (Computational Techniques and Applications Conference,
Canberra 2008)
ANZIAM J. 50 (2008) C549 - C568.
Patents
L.K. Forbes, S. Crozier and D.M. Doddrell, Asymmetrical zonal shim coils
for Magnetic Resonance,
U.S. Patent number 6,377,148 , 23 April 2002.
L.K. Forbes and S. Crozier, The efficient design of asymmetric
tesseral shim coils for Magnetic Resonance Imaging applications,
U.S. Patent number 6,664,879 , 16 December 2003.
L.K. Forbes and S. Crozier, Bi-planar coil assemblies for producing
specified magnetic fields,
U.S. Patent number 7,193,417 , 20 March 2007.
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