Publications and Research Reports

[1]

S. Roberts and M. Miranda. Lagrange Multipliers and Geometric Measure Theory. Rend. Sem. Mat. Univ. Padova, 74:219-224, 1985.

[2]

S. Roberts. Accuracy of the Random Vortex Method for a problem with Non-Smooth Initial Conditions. J. Comp. Phys., 58:29-43, 1985.

[3]

S. Roberts. Comalco Rolling Problem. In F. De Hoog, editor, Proceedings of the 1986 Mathematics in Industry Study Group, pages 27-33. CSIRO Australia, Division of Mathematics and Statistics, 1986.

[4]

N. Joshi and S. Roberts. The Michalis Menton Equation. Technical Report CMA-R27-87, Centre for Mathematical Analysis, Australian National University, Canberra, 1987.

[5]

S. Roberts. A Line Element Algorithm for Curve Flow Problems in the Plane. Technical Report CMA-R58-89, Centre for Mathematical Analysis, Australian National University, Canberra, 1989. Accepted for Publication in Series B, J. Aust. Math. Soc.

[6]

S. Roberts. A Line Element Algorithm for Curve Flow Problems in the Plane. Technical Report CMA-R58-89, Centre for Mathematical Analysis, Australian National University, Canberra, 1989.

[7]

S. Roberts. Convergence of a Random Walk Method for the Burgers Equation. Math. Comput., 52:647-673, 1989.

[8]

S. Roberts. A Particle Method for a Scalar Advection Diffusion Equation. Mathematics and Computers in Simulation, 32:155-160, 1990.

[9]

S. Roberts. Hierarchical N-Body Calculations. In G Dziuk, G. Huisken, and J. Hutchinson, editors, Theoretical and Numerical Aspects of Geometric Variational Problems, volume 26 of Proc. Centre. Math. Analysis, pages 211-224. Australian National University, 1991.

[10]

S. Roberts. A Finite Element Method for the Solution of Mean-Curvature and related Geometric Flows. In J. Noye, B. Benjamin, and L. Colgan, editors, Computational Techniques and Applications: CTAC91, pages 409-416. Australian Mathematical Society, 1991.

[11]

R. Brent, A. Cleary, M. Hegland, J. Jenkinson, M. Osborne, and S. Roberts. Initial Report on the Fujitsu Parallel Project. Technical report, Australian National University Supercomputer Facility, Australian National University, Canberra, 1992.

[12]

R. Brent, A. Cleary, M. Hegland, J. Jenkinson, M. Osborne, and S. Roberts. First Progress Report on the Fujitsu Parallel Project. Technical report, Australian National University Supercomputer Facility, Australian National University, Canberra, 1992.

[13]

R. Brent, A. Cleary, M. Hegland, J. Jenkinson, M. Osborne, and S. Roberts. Intermediate Report on the Fujitsu Parallel Project. Technical report, Australian National University Supercomputer Facility, Australian National University, Canberra, 1992.

[14]

C. Zoppou and S. Roberts. Simulation Techniques in Water Quality Modelling. Technical Report CMA-MR05-93, Center for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, Canberra, 1992.

[15]

C. Zoppou and S. Roberts. Numerical Solution of the Advection-Diffusion Equation. In M. B. Beck A. J. Jakeman and M. J. McAleer, editors, Modelling Change in Environmental Systems, chapter 4, pages 77-97. John Wiley & Sons Ltd, 1993.

[16]

C. Zoppou and S. Roberts. Simulation Techniques for the Advection Equation. In D. Singleton D. Stewart and H. Gardner, editors, Computational Techniques and Applications: CTAC93, pages 518-526. World Scientific Press, 1993.

[17]

S. Roberts. A Line Element Algorithm for Curve Flow Problems in the Plane. J. Austral. Math. Soc. Ser. B, 35:244-261, 1993.

[18]

J. Gifford, S. Roberts, and D. Stewart. Notes on the Implementation of Parallel Array Classes using Lazy Evaluation. Technical Report ACTR_32_03_94, Advanced Computation Group, School of Mathematical Sciences, Australian National University, 1994.

[19]

R. Brent, A. Cleary, M. Hegland, J. Jenkinson, Z. Leyk, M. Osborne, P. Price, S. Roberts, D. Singleton, and M. Nakanishi. Implementation and Performance of Scalable Scientific Library Subroutines on Fujitsu's VPP500 Parallel-Vector Supercomputer. In Proceedings of the Scalable High Performance Computing Conference, pages 526-533. IEEE/CS Press, 1994.

[20]

S. Roberts. Finite Element Method for Numerically Solving PDE's. In T. Cranny and J. Hutchinson, editors, Instructional Workshop on Analysis and Geometry, volume 34, Part 1 of Proc. Centre Math. Appl, pages 77-90. Centre for Mathematics and its Applications, Australian National University, 1995.

[21]

T. Leyk and S. Roberts. Numerical Solution of a free Boundary Phase Field Model Using a Krylov Subspace Method. In Computational Techniques and Applications: CTAC95, pages 479-487. World Scientific Press, Singapore, 1996.

[22]

S. Roberts and S. Matthai. High Resolution Potential Flow Methods in Oil Exploration. In Computational Techniques and Applications: CTAC95, pages 677-684. World Scientific Press, Singapore, 1996.

[23]

C. Zoppou and S. Roberts. Development of a High Resolution Numerical Scheme Based on Quasi-characteristics Applicable to Water Quality Modelling. Urban Water Research Association of Australia, 1995.

[24]

S. Matthai and S. Roberts. Transient versus Continuous Fluid Flow in Seismically-Active Faults: An Investigation by Electric Analog and Numerical Modeling. In B. Jamtveit and B. W. D. Yardley, editors, Fluid Flow and Transport in Rocks: Mechanisms and Effects, chapter 16, pages 263-292. Chapmann and Hall, London, 1996.

[25]

C. Zoppou and S. Roberts. Comment on: Conservative characteristics-based schemes for mass transport. ASCE J. Hydraulic Engineering, 122(2):117-118, 1996.

[26]

S. Roberts, A. Austin, B. Austin, and D. Stewart. Meschach++: Matrix Computations in C++. School of Mathematical Sciences, Australian National University, 1996.

[27]

S. Roberts and C. Zoppou. Behaviour of Finite Difference Schemes for Advection Diffusion Equations. Mathematical Research Report MRR 062-96, Australian National University, 1996.

[28]

M. Hegland, S. Roberts, and I. Altas. Finite Element Thin Plate Splines for Data Mining Applications. In M. Daehlen, T. Lyche, and L. Schumaker, editors, Mathematical Methods for Curves and Surfaces II, pages 245-252, Nashville, TN, 1998. Vanderbilt University Press.

[29]

M. Hegland, S. Roberts, and I. Altas. Finite Element Thin Plate Splines for Surface Fitting. In B.J Noye, M.D. Teubner, and A.W. Gill, editors, Computational Techniques and Applications: CTAC97, pages 289-296, Singapore, 1997. World Scientific.

[30]

S. Roberts, S. Kalyanasundaram, M. Cardew-Hall, and W. Clarke. A Key Based Parallel Adaptive Refinement Technique for Finite Element Methods. In B.J. Noye, M.D Teubner, and A.W. Gill, editors, Computational Techniques and Applications: CTAC97, pages 577-584, Singapore, 1997. World Scientific.

[31]

S. Roberts, M. Hegland, and I. Altas. An H¹ Finite Element Approximation of a Thin Plate Spline for Surface Fitting. Mathematics Research Report MRR 039-98, Australian National University, 1998.

[32]

Christopher Zoppou and Stephen Roberts. Catastrphic Collapse of Water Supply Reservoirs in Urban Areas. In D. J. Walker and T. M. Daniell, editors, Proceedings of the HydraStorm 98 Conference, pages 135-140. The Institution of Engineers, Australia, 1998.

[33]

C. Zoppou and S. Roberts. Comment on: Refined Numerical Scheme for Advective Transport in Diffusion Simulation. ASCE J. Hydraulic Engineering, 124(7):765-767, 1998.

[34]

S. Matthai, A. Aydin, D. Pollard, and S. Roberts. Simulation of Transient Well-Test Signatures for Geologically Realistic Faults in Sandstone Reservoirs. Society of Petroleum Engineering Journal, 13(1):62-76, 1998.

[35]

Z. Ding, S. Kalyanasundaram, S. Roberts, L. Grosz, and M. Cardew-Hall. Parallel Substepping Schemes for Elasto-Plastic Finite Element Stress Analysis. In Proceedings of the Second Australasian Congress on Applied Mechanics: ACAM99, Canberra, February 1999. On CD ROM.

[36]

Peter Christen, Irfan Altas, Markus Hegland, Stephen Roberts, Kevin Burrage, and Roger Sidje. A Parallel Finite Element Surface Fitting Algorithm for Data Mining. In Proceedings of the ParCo-99 Conference, Delft, August 1999.

[37]

Peter Christen, Markus Hegland, Stephen Roberts, and Irfan Altas. A Scalable Parallel FEM Surface Fitting Algorithm for Data Mining. Submitted to International Journal of Computer Research (IJCR), 2000.

[38]

C. Zoppou and S. Roberts. Catastrophic Collapse of Water Supply Reservoirs in Urban Areas. ASCE J. Hydraulic Engineering, 125(7):686-695, 1999.

[39]

C. Zoppou and S. Roberts. Comment on: Space-Time Conservative Method Applied to the Saint Venant Equations. Journal of Hydraulic Engineering, pages 891-892, 1999.

[40]

Christopher Zoppou, Stephen Roberts, and R. Renka. Exponential Spline Interpolation in Characteristic Based Scheme for Solving the Advective-Diffusion Equation. International Journal for Numerical Methods in Fluids, 33(3):429-452, 2000.

[41]

C. Zoppou and S. Roberts. Numerical Solution of the Two-Dimensional Unsteady Dam Break. Applied Mathematical Modelling, 24:457-475, 2000.

[42]

Peter Christen, Irfan Altas, Markus Hegland, Stephen Roberts, Kevin Burrage, and Roger Sidje. Parallelization of a Finite Element Surface Fitting Algorithm for Data Mining. ANZIAM J., 42(C):C385-C399, 2000. Availabe at http://anziamj.austms.org.au/V42/CTAC99/Chr1/home.html.

[43]

Christopher Zoppou, Stephen Roberts, and Markus Hegland. Spatial and Temporal Rainfall Approximation Using Additive Models. ANZIAM J., 42(C):C1599-C1611, 2000. Available at http://anziamj.austms.org.au/V42/CTAC99/Zopp/home.html.

[44]

Stephen Roberts and Christopher Zoppou. Robust and Efficient Solution of the 2D Shallow Water Equation with Domains Containing Dry Beds. ANZIAM J., 42(C):C1260-C1282, 2000. Available at http://anziamj.austms.org.au/V42/CTAC99/Robe/home.html.

[45]

Z. Ding, S. Kalyanasundaram, L. Grosz, S. Roberts, and M. Cardew-Hall. Development of a new integration algorithm for parallel implementation of the finite element elasto-plastic analysis. ANZIAM J., 42(C):C561-C588, 2000. Available at http://anziamj.austms.org.au/V42/CTAC99/Ding/home.html.

[46]

Markus Hegland, Giles Hooker, and Stephen Roberts. Finite Element Thin Plate Splines in Density Estimation. ANZIAM J., 42(C):C712-C734, 2000. Available at http://anziamj.austms.org.au/V42/CTAC99/Hegl/home.html.

[47]

Graham Williams, Irfan Altas, Sergey Barkin, Peter Christen, Markus Hegland, Alonso Marquez, Peter Milne, Rajehndra Nagappan, and Stephen Roberts. The Integrated Delivery of Large-Scale Data Mining: The ACSYS Data Mining Project. In Mohammed Javeed Zaki and Ching-Tien Ho, editors, Large-Scale Parallel Data Mining, Workshop on Large-Scale Parallel KDD Systems, SIGKDD, August 15, 1999, volume 1759 of Lecture Notes in Computer Science, pages 24-55. Springer, San Diego, 2000. ISBN 3-540-67194-3.

[48]

Peter Christen, Markus Hegland, Ole Moller Neilsen, Stephen Roberts, and Irfan Altas. Scalable Parallel Algorithms for Predictive Modelling. In Data Mining II. Second International Conference on Data Mining, pages 423-432, Cambridge, UK, July 2000.

[49]

Z. Ding, S. Kalyanasundaram, L. Grosz, S. Roberts, and M. Cardew-Hall. A Parallel Three-Dimensional Elasto-Plastic Finite Element Analysis in a Workstation Cluster Environment. In Proceedings of the 7th International Symposium on Structural Failure and Plasticity: IMPLAST 2000, October 2000.

[50]

Peter Christen, Markus Hegland, Ole Nielsen, Stephen Roberts, Peter Strazdins, and Irfan Altas. Scalable Parallel Algorithms for Surface Fitting and Data Mining. Parallel Computing, 27:941-961, 2001.

[51]

Peter Christen, Markus Hegland, Ole M. Nielsen, Stephen Roberts, Peter E. Strazdins, Irfan Altas, Tatiana Semenova, and Timothy Hancock. Towards a parallel data mining toolbox. In Proceedings of the 15th International Parallel and Distributed Processing Symposium (IPDPS-2001), Workshop Parallel and Distributed Data Mining, San Francisco, April 2001. Institute of Electrical and Electronic Engineers (IEEE). Available at http://datamining.anu.edu.au/publications/2001/pddm2001.ps.gz.

[52]

Peter Christen, Markus Hegland, Stephen Roberts, and Irfan Altas. A Scalable Parallel FEM Surface Fitting Algorithm for Data Mining. In International Workshop on Mining Spatial and Temporal Data (at the PAKDD-2001 Conference), E-Business Technology Institute, University of Hong Kong, 2001. Available at http://datamining.anu.edu.au/publications/2001/pakdd2001_ws.ps.gz.

[53]

Sebastian Geiger, Stephen Roberts, Stephan K. Matthäi, and Christopher Zoppou. Modelling multi-phase flow in the earth's crust using node-centred finite volumes on unstructured finite element grids. Technical Report MRR 01.023, School of Mathematical Sciences, Australian National University, 2001. Available at http://www.maths.anu.edu.au/research.reports/mrr/mrr01.023/abs.html.

[54]

Peter Christen, Markus Hegland, Stephen Roberts, Ole M. Nielsen, Tim Churches, and Kim Lim. Parallel Computing Techniques for High-Performance Probabilistic Record Linkage. In Proceedings of the Symposium on Health Data Linkage, Sydney, 2002. Available at http://datamining.anu.edu.au/publications/2002/linksymp2002.pdf.

[55]

Christopher Zoppou and Stephen Roberts. Explicit schemes for dam-break simulations. ASCE, J. Hydraulic Engineering, 129(1):11-34, 2003.

[56]

Stephen Roberts, Markus Hegland, and Irfan Altas. Approximation of a Thin Plate Spline Smoother using Continuous Piecewise Polynomial Functions. SIAM J. Numer. Anal., 41(1):208-234, 2003. Available at http://epubs.siam.org/sam-bin/dbq/article/38329.

[57]

Sebastian Geiger, Stephen Roberts, Stephan K. Matthäi, and Christopher Zoppou. Combining finite volume and finite element methods to simulate fluid flow in geologic media. ANZIAM J., 44:C180-C201, April 2003. Available at http://anziamj.austms.org.au/V44/CTAC2001/Geig.

[58]

S. Geiger, S. Roberts, S. K. Matthäi, C. Zoppou, and A. Burri. Combining finite element and finite volume methods for efficient multiphase flow simulations in highly heterogeneous ans structurally complex geologic media. Geofluids, 4:284-299, 2004.

[59]

Stephen Roberts, Henry Gardner, Shaun Press, and Linda Stals. Teaching computational science using vpython and virtual reality. In Marian Bubak, Geert Dick van Albada ans Peter M. A. Sloot, and Jack J. Dongarra, editors, Computational Science -ICCS 2004, volume 3039 of Lecture Notes in Computer Science, pages 1218-1225. Springer, 2004.

[60]

S. Roberts and L. Stals. Discrete thin plate spline smoothing in 3D. ANZIAM J., 45:C646-C659, 2004. [Online] http://anziamj.austms.org.au/V45/CTAC2003/Rob2/home.html [July 18, 2004].

[61]

O. Nielsen, S. Roberts, D. Gray, A. McPherson, and A. Hitchman. Hydrodynamic modelling of coastal inundation. In A. Zerger and R.M. Argent, editors, MODSIM 2005 International Congress on Modelling and Simulation, pages 518-523. Modelling and Simulation Society of Australia and New Zealand, December 2005. [Online] http://www.mssanz.org.au/modsim05/papers/nielsen.pdf [Jan 23, 2006].

[62]

A. F. Nielsen, C. A. Adamantidis, S. G. Roberts, and C. Zoppou. A finite volume solution for a ring tank failure parametric study. Australian Journal of Water Resources, 10(1):1-10, 2006.

[63]

L. Stals and S. Roberts. Smoothing large data sets using discrete thin plate splines. Comput. Visual Sci., 9:185-195, 2006.

[64]

S. G. Roberts, O. M. Nielsen, and J. Jakeman. Simulation of tsunami and flash floods. Accepted for publication in the refereed proceedings of the International Conference on High Performance Scientific Computing: Modeling, Simulation and Optimization of Complex Processes, March 6-10, 2006, Hanoi Vietnam, 2006.

[65]

S. G. Roberts, L. Stals, and O. M. Nielsen. Parallelisation of a finite volume method for hydrodynamic inundation modelling. Submitted to ANZIAM J., 2006.