Areas of expertise
- Numerical Analysis 010301
- Plasma Physics; Fusion Plasmas; Electrical Discharges 020204
- Applied Statistics 010401
- Virtual Reality And Related Simulation 080111
- Numerical Solution Of Differential And Integral Equations 010302
- Simulation And Modelling 080110
- Stochastic Analysis And Modelling 010406
- Numerical And Computational Mathematics 0103
Publications
- Lamichhane, B, Roberts, S & Stals, L 2016, 'A Mixed Finite Element Discretisation of Thin Plate Splines Based on Biorthogonal Systems', Journal of Scientific Computing, vol. 67, no. 1, pp. 20-42.
- Stals, L 2015, 'Efficient Solution Techniques for a Finite Element Thin Plate Spline Formulation', Journal of Scientific Computing, vol. 63, no. 2, pp. 374-409.
- Larson, J, Strazdins, P, Hegland, M et al. 2014, 'Managing complexity in the Parallel Sparse Grid Combination Technique', Parallel Computing, vol. 25, pp. 593-602.
- Gani, J & Stals, L 2013, 'A Leslie matrix approach to an age-structured epidemic', The Mathematical Scientist, vol. 38, no. 1, pp. 50-60.
- Larson, J, Hegland, M, Harding, B et al. 2013, 'Fault-Tolerant Grid-Based Solvers: Combining Concepts from Sparse Grids and MapReduce', International Conference on Computational Science, ICCS 2013, Elsevier B.V., The Netherlands, pp. 130-139.
- Jin, Q & Stals, L 2012, 'Nonstationary iterated Tikhonov regularization for ill-posed problems in Banach spaces', Inverse Problems, vol. 28, no. 10.
- Lamichhane, B, Roberts, S & Stals, L 2011, 'A mixed finite element discretisation of thin-plate splines', ANZIAM Journal, vol. 52, pp. C518-C534.
- Gani, J & Stals, L 2010, 'Models for the interaction of HIV infectives with AIDS patients', Bulletin of the Institute of Combinatorics and its Applications, vol. 58, pp. 17-28.
- Stals, L & Roberts, S 2008, 'Smoothing and Filling Holes with Dirichlet Boundary Conditions', International Conference on High Performance Scientific Computing (HPSC 2006), ed. Hans Georg Bock, Ekaterina Kostina, Hoang Xuan Phy, Rolf Rannacher, Springer, Berlin, Germany, pp. 521-531.
- Stals, L & Roberts, S 2008, 'Preconditioners for low order thin plate spline approximations', in T.J. Barth, M. Griebel, D.E. Keyes, R.M. Nieminen, D. Roose, and T Schlick (ed.), Domain Decomposition Methods in Science and Engineering XVII, Springer, Germany, pp. 639-646.
- Stals, L 2008, 'A study of the Hasegawa-Wakatani equations using an implicit explicit backward differentiation formula', Computational Techniques and Applications Conference (CTAC 2008), ed. Conference Program Committee, Australia and New Zealand Industrial and Applied Mathematics (ANZIAM), Canberra, pp. C519-C533.
- Stals, L, Numata, R & Ball, R 2008, 'Stability Analysis of Time Stepping for Prolonged Plasma Fluid Simulations', SIAM Journal on Scientific Computing, vol. 31, no. 2, pp. 961-986.
- Roberts, S, Stals, L & Nielsen, O 2007, 'Parallelisation of a finite volume method for hydrodynamic inundation modelling', Computational Techniques and Applications Conference (CTAC 2006), ed. Wayne Read, A.J. Roberts, Australian Mathematical Society, Australia, pp. 558-572.
- Gani, J & Stals, L 2007, 'A note on three stochastic processes with immigration', Australian and New Zealand Industrial and Applied Mathematics Journal, vol. 48, no. 3, pp. 409-418.
- Gani, J & Stals, L 2006, 'Epidemics caused by two encounters with infectives', Bulletin of the Institute of Combinatorics and its Applications, vol. 48, pp. 5-18.
- Stals, L & Roberts, S 2006, 'Smoothing large data sets using discrete thin plate splines', Computing and Visualization in Science, vol. 9, no. 3, pp. 185-195.
- Gani, J & Stals, L 2005, 'A continuous time Markov chain model for a plantation-nursery system', Environmetrics, vol. 16, pp. 849-861.
- Stals, L & Roberts, S 2005, 'Verifying convergence rates of discrete thin-plate splines in 3{D}', Computational Techniques and Applications Conference (CTAC 2002), ed. Rob May and A. J. Roberts, Australian Mathematics Publishing Association, Australia, pp. C515-C529.
- Gani, J & Stals, L 2004, 'The spread of a viral infection in a plantation', Environmetrics, vol. 15, pp. 555-560.
- Roberts, S & Stals, L 2004, 'Discrete thin plate spline smoothing in 3d', Computational Techniques and Applications Conference (CTAC 2003), ed. Jagoda Crawford, Tony Roberts, Australian Mathematical Society, Electronic Supplement, pp. c646-c659.
- Roberts, S, Gardner, H, Press, S et al 2004, 'Teaching computational science using vpython and virtual reality', Lecture Notes in Computer Science (LNCS), vol. 3039, pp. 1218-1225.
- Stals, L 2003, 'The Solution of Radiation Transport Equations with Adaptive Finite Elements', Copper Mountain Conference on Multigrid Methods 2001, ed. J. Crawford and T. Roberts, ETNA, Kent State University, USA, pp. 78-93.
- Stals, L 2003, 'Comparison of non-linear solvers for the solution of radiation transport equations.', Electronic Transactions on Numerical Analysis, vol. 15, pp. 78-93.
