1. S.K. Lucas, Representing Numbers Using Fibonacci Variants, accepted for "The Princeton Guide to Research in Recreational Mathematics," 2014.
  2. E. Arnold, J. Lorch, S.K. Lucas, R. Field & L. Taalman, Nest graphs and minimal complete symmetry groups for magic Sudoku variants, to appear, Rocky Mountain Journal of Mathematics, 2014.
  3. J.T. Ratnanather, J.H. Kim, S. Zhang, A.M.J. Davis, & S.K. Lucas, IIPBF: a Matlab toolbox for infinite integrals of product of Bessel functions, ACM TOMS 40(2) 1-14 (2014).
  4. E. Arnold, S.K. Lucas, R. Field & L. Taalman, Minimal complete Shidoku symmetry groups, Journal of Combinatorial Mathematics and Combinatorial Computing 87 209-228 (2013).
  5. D.C. Carothers, S.K. Lucas, G.E. Parker, J.D. Rudmin, J.S. Sochacki, R.J. Thelwell, A.L. Tongen, and P.G. Warne, Connections between Power Series Methods and Automatic Differentiation, Proceedings of the 6th International Conference on Automatic Differentiation, July 2012.
  6. E. Arnold, S.K. Lucas & L. Taalman, Gröbner Basis representations of SudokuCollege Math. J. 41(2) 101-111 (2010).
  7. S.K. Lucas, J. Rosenhouse & A. Schepler, The Monty Hall problem, reconsideredMath. Magazine, 82(5) 332-342 (2009).
  8. S.K. Lucas & J. Rosenhouse, Optimal strategies for the progressive Monty Hall problemMath. Gazette, 93(528) 410-419 (2009).
  9. S.K. Lucas, Approximations to pi derived from integrals with nonnegative integrands, Amer. Math. Monthly 116(2) 166-172 (2009).
  10. S.K. Lucas & W. Whiten, Particle transport through the froth layer in column flotation, 2003 Proceedings of the Mathematics-In-Industry Study Group, MISG 91-115 (2008).
  11. P.D. Haynes & S.K. Lucas, Extension of a short-time solution to the diffusion equation with application to micropore diffusion in a finite systemAMZIAM J. 48 503-521 (2007).
  12. V. Ejov, J.A. Filar, S.K. Lucas & P. Zograf, Clustering of spectra and fractals of regular graphs, J. Math. Anal. Appl. 333 236-246 (2007).
  13. J.L. Nelson, S.K. Lucas, J.A. Filar & V. Ejov, Solving the Hamiltonian Cycle problem using symbolic determinants, Taiwanese Journal of Mathematics 10 327-338 (2006).
  14. J. Thredgold, S.K. Lucas & P.G. Howlett, On the contact of a rigid sphere and a plate, Math. Comp. Mod. 43 119-131 (2006).
  15. S.K. Lucas, Integral proofs that 355/113>pi, Gazette Aust. Math. Soc. 32 263-266 (2005).
  16. J.A. Filar, A. Gupta & S.K. Lucas, Connected co-spectral graphs are not necessarily both Hamiltonian, Gazette Aust. Math. Soc. 32 193 (2005).
  17. M.R. Agrawal, P.G. Howlett, S.K. Lucas, Sunanda Naik & S. Ponnusamy, Boundedness of generalized Césaro averaging operators on certain function spaces, J. Comp. Appl. Math. 180 333-344 (2005).
  18. S.T. Simakov, C.Y. Kaya & S.K. Lucas, Computations for Bang-Bang Constrained Optimal Control Using a Lagrangian Formulation, Optim. Control Appl. Meth. 25 295-­308 (2004).
  19. A. Torokhti, P. Howlett & S. Lucas, Method of partitioned data orthogonalization for Principal Component Determination, Proc. of XVI International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, ISBN 90-5682-517-8, CD-rom, 2004.
  20. S.K. Lucas, On using bounded continued fractions to represent reals, CTAC 2003 conference proceedings, ANZIAM J. 45(E) C921-934 (2004).
  21. S.K. Lucas, Maximising flow from oil reservoirs without water breakthrough, ANZIAM J. 45 401-423 (2004).
  22. S.K. Lucas, Least squares cubic splines without B-splines, Gazette Aust. Math. Soc. 30 207-211 (2003).
  23. D. Panton, M. John, S.K. Lucas & A. Mason, Flight test data cycle map optimisation, European J. OR 146 486-497 (2003).
  24. S.K. Lucas & F. Underwood, Women's success in mathematics: the Hypatia scholarship program, Australasian J. Gifted Education 11(2) 18-25 (2002).
  25. S.K. Lucas, Another look at finding continued fractions, Gazette Aust. Math. Soc. 29 216-219 (2002).
  26. S.T. Simakov, C.Y. Kaya & S.K. Lucas, Computations for time-optimal bang-bang control using a Lagrangian formulation, Proceedings of IFAC2002, July 2002, Barcelona, (2002).
  27. A.C. Mernone, J. Mazumdar & S.K. Lucas, A mathematical study of peristaltic transport of a Casson fluid, Math. Comp. Mod. 35 895-912 (2002).
  28. S.K. Lucas & C.Y. Kaya, Switching-Time Computation for Bang-Bang Control Laws, 2001 American Control Conference (ACC), July 2001, 176-181 (2001).
  29. S.K. Lucas & J.M. Hill, Testing the fracture of spectacle lenses, 2000 Proceedings of the Mathematics-In-Industry Study Group, MISG 148-168 (2001).
  30. R.A. Frick & S.K. Lucas, Customised student projects in engineering statistics, in EMAC '98, edited by E.O. Tuck & J.A.K. Stott, Institution of Engineers, Australia  (1998).
  31. S.K. Lucas, H.A. Stone & R. Sipcic, An integral equation solution for the steady-state current at a periodic array of surface microelectrodes, SIAM J. Applied Math. 57 1615-1638 (1997).
  32. S.K. Lucas and A. Kucera, A 3D boundary integral method applied to the water coning problem, Physics of Fluids 8 3008-3022 (1996).
  33. S.K. Lucas, Evaluating infinite integrals involving products of Bessel functions of arbitrary order, J. Comp. Appl. Math. 64 269-282 (1995).
  34. S.K. Lucas & H.A. Stone, Evaluating infinite integrals involving Bessel functions of arbitrary order, J. Comp. Appl. Math. 64 217-231 (1995).
  35. S.K. Lucas & H.A. Stone, A study of reaction-diffusion problems for domains bounded by periodic source/sink distributions on planar surfaces: an application to microelectrode processes, in BEM 17, edited by C.A. Brebbia, S. Kim, T.A. Osswald & H. Power, Wessex Institute of Technology (1995).
  36. T. Chou, S.K. Lucas, & H.A. Stone, Capillary wave scattering from a surfactant domain, Phys. Fluids 7 1872-1885 (1995).
  37. S.K. Lucas, A collocation expansion approach to the boundary integral method, in Boundary Element Technology VII, edited by C.A. Brebbia & M.S. Ingber, Elsevier Applied Science (1992).
  38. S.K. Lucas & A. Kucera, Solving the water coning problem by a three dimensional boundary integral method, Gazette Aust. Math. Soc. 18 105-108 (1991).
  39. S.K. Lucas, J.R. Blake & A. Kucera, A boundary integral method applied to water coning in oil reservoirs, J. Aust. Math. Soc. B32 261-283 (1991).
  40. S.K. Lucas, Water coning in oil reservoirs, in Computational Techniques and Applications '89, Hemisphere, (1990).
  41. L.A. Maciaszek & S.K. Lucas, A graphical tool to derive network database structure from an enhanced conceptual design, Proceedings of the Conference on Computer Systems and Information Technology, Brisbane, Australia, 39-44 (1987).