Publications

Ian Lisle’s publications:

Recent:

Lisle, I.G. and S.-L. T. Huang. Algorithmic symmetry classification with invariance. Accepted (2009) for publication in J. Engineering Mathematics.

Lisle, I.G., G. Pollard and G. Pollard.  2008. Improved scoring systems for a contest between two tennis teams.  Proc. 9th Australasian Conference on Mathematics & Computers in Sport pp. 37–44.

Brown, A., T. Barnett, G. Pollard, I. Lisle and G. Pollard. 2008. The characteristics of various men’s tennis doubles scoring systems. Proc. 9th Australasian Conference on Mathematics & Computers in Sport pp. 52–59

Lisle, I.G. and S.-L. T. Huang. 2007. Algorithms for spherical harmonic lighting.  GRAPHITE 2007: 5th International Conference on Computer Graphics and Interactive Techniques in Australasia and Southern Asia, pp. 235–238.

Lisle, I.G. and G.J. Reid. 2006. Symmetry classification using noncommutative invariant differential operators. Found. of Comp. Math. 6: 353–386.

Sander, G.C., J.-Y. Parlange, I.G. Lisle and S.W. Weeks.  2005.  Exact solutions for radial symmetric, two-dimensional two-phase flow for an arbitrary diffusivity.  Advances Water Resour. 28: 1112-1121. (invited paper).

Older publications:

Vassiliou, P.J. and I.G. Lisle (eds.) 2000.  Geometric Approaches to Differential Equations. Cambridge University Press, Cambridge.

Barry, D.A., J.-Y. Parlange, I.G. Lisle, L. Li, D.-S. Jeng, F. Stagnitti and G.C. Sander. 2002. Scope for further analytical solutions for constant-flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile.  Water Resources Research 38: 1265.

D.A. Barry, I.G. Lisle, L. Li, H. Prommer, J.-Y. Parlange, G.C. Sander and J.W. Griffioen. 2001.  Similitude applied to centrifugal scaling of unsaturated flow.  Water Resources Research 37: 2471–2479.

Lisle, I.G. and G.J. Reid. 2000. Cartan structure of infinite Lie pseudogroups. In Vassiliou, P.J. and I.G. Lisle (eds.) Geometric Approaches to Differential Equations. Cambridge University Press, Cambridge.

Hairsine, P.B., G.C. Sander, C.W. Rose, J.-Y. Parlange, W.L. Hogarth, I.G. Lisle, and H. Rouhipour. 1999. Unsteady soil erosion due to rainfall impact: A model of sediment sorting on the hillslope. J. Hydrol. 199: 115–128.

Lisle I.G., C.W. Rose, W.L. Hogarth, P.B. Hairsine, G.C. Sander and J.-Y. Parlange. 1998.  Stochastic sediment transport in soil erosion.  J. Hydrology. 204: 217–230.

Lisle, I.G. and G.J. Reid. 1998.  Geometry and structure of Lie pseudogroups from infinitesimal defining systems. J. Symb. Comp. 26: 355–379.

Sander, G.C.,  P.B. Hairsine,  C.W. Rose, D. Cassidy,  J.-Y. Parlange,  W.L. Hogarth and I.G. Lisle. 1996. Unsteady soil erosion model, analytical solutions and comparison with experimental results. J. Hydrology 178: 351–367.

Lisle, I., G. Reid & A. Boulton. 1995. Algorithmic determination of structure of infinite Lie pseudogroups of symmetries of PDEs Proc. ISSAC ’95, ACM Press.

Lisle, I.G. and J.-Y. Parlange. 1992. Analytical reduction for Boltzmann’s solution for nonlinear diffusion.  ZAMP 44: 86–102.

Reid, G.J., I.G. Lisle, A. Boulton and A.D. Wittkopf. 1992.  Algorithmic determination of commutation relations for Lie symmetry algebras of PDEs. ISSAC ’92 Conference Proceedings.

Parlange, J.-Y., I.G. Lisle and R. Haverkamp. 1989. Comments on “Quasi-analytical solutions of the soil water flow equation for problems of evaporation.” Soil Sci. Soc. Am. J. 53: 1617.

Lisle, I.G., J.-Y. Parlange and R. Haverkamp. 1987. Exact desorptivities for power law and exponential diffusivities. Soil Sci. Soc. Am. J. 51: 867–869.

Lisle, I.G., J.-Y. Parlange, R.H. Rand, M.B. Parlange, W.L. Hogarth, R.D. Braddock and H.P. Gottlieb. 1985. Numerical corrections of Wu’s coefficients for high frequency scattering. Phys. Rev. Lett. 55: 555–558.

Parlange, J.-Y., I.G. Lisle, S.N. Prasad and M.J.M. Römkens. 1984.  Wetting front analysis of the nonlinear diffusion equation. Water Resour.Res. 20: 636–638.

Parlange, J.-Y., I.G. Lisle, R.D. Braddock and R.E. Smith. 1982.  Three parameter infiltration equation.  Soil Sci. 133: 337–341.

Braddock, R.D., J.-Y. Parlange and I.G. Lisle. 1981. Properties of the sorptivity for an exponential diffusivity and application to the measurement of the soil water diffusivity.  Soil Sci. Soc. Am. J. 45: 705–709.

Parlange, J.-Y., R.D. Braddock and I.G. Lisle. 1980. Third order integral relation between sorptivity and diffusivity using Brutsaert’s technique. Soil Sci. Soc. Am.  J. 44: 889–891.