Personal profile
Biography
Stephen Roberts was Head of the Department of Mathematics at the Australian National University from 2006-2012.
Stephen is heavily involved in the computational science community in Australia. From 2003-2006 he was the national coordinator of the Australian Partnership for Advanced Computing (APAC) Education, Outreach and Training program. He is currently the treasurer of the committee of the Computational Mathematics Group, a special interest group of ANZIAM.
His research area is the application of efficient and robust numerical methods for the solution of partial differential equations.
He is the lead developer at the ANU of the ANUGA hydrodynamic modeling software. ANUGA is an open source computational tool that models the impact of dam breaks, floods and tsunamis on communities. It is used extensively by councils, governments and consultant engineers.
In the area of data fitting he has developed sparse grid methods for Multidimensional function fitting and approximation of high dimensional probability density functions. He has also developed finite element approximation methods for thin plate spline functional smoothing which can scale to millions of data points.
In 1980, Stephen completed his MSc Science at Flinders Univerisy, supervised by Prof Garth Gaudry, working on A_p spaces and asymmetry of L_p operator norms for convolution operators. In 1985, Stephen completed his PhD at the University of California, Berkeley, supervised by Prof Alexandre Chorin, working on the Convergence of a random walk method for the Burgers equation.
Qualifications
PhD UC Berkeley
Research Interests
Developer of efficient and robust numerical methods for the modelling of Tsunami and Flood events.
Lead developer at the ANU of the ANUGA hydrodynamic modelling software. ANUGA is a computational tool that models the impact of dam breaks, floods and tsunamis on communities. It is used extensively by councils, governments and consultant engineers. The software is developed in Python and C.
Developer of sparse grid methods for
Multi-dimensional function fitting and approximation of high dimensional probablitiy density functions.
Developing finite element approximation methods for thin plate spline functional smoothing which can scale to millions of data points.
Developer of Computational Science education program at ANU using Python.
Specialties:
Computational Mathematics, Tsunami modelling, Flood modelling, Multi-dimensional approximation, Python programming for Scientific computing.
Education/Academic qualification
Mathematics, PhD, Convergence of a Random walk method for Burgers Equation, University of California at Berkeley
1980 → 1985
Award Date: 1 Sept 1985
Research student supervision
- Registered to supervise
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Collaborations and top research areas from the last five years
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Strongly stable dual-pairing summation by parts finite difference schemes for the vector invariant nonlinear shallow water equations – I: Numerical scheme and validation on the plane
Hew, J. K. J., Duru, K., Roberts, S., Zoppou, C. & Ricardo, K., 15 Feb 2025, In: Journal of Computational Physics. 523, 33 p., 113624.Research output: Contribution to journal › Article › peer-review
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ON WELL-POSED BOUNDARY CONDITIONS AND ENERGY STABLE FINITE-VOLUME METHOD FOR THE LINEAR SHALLOW WATER WAVE EQUATION
Prihandoko, R., Duru, K., Roberts, S. & Zoppou, C., 2024, (Accepted/In press) In: ANZIAM Journal.Research output: Contribution to journal › Article › peer-review
Open Access -
Benchmarking Active Subspace methods of global sensitivity analysis against variance-based Sobol' and Morris methods with established test functions
Sun, X., Croke, B., Jakeman, A. & Roberts, S., Mar 2022, In: Environmental Modelling and Software. 149, 105310.Research output: Contribution to journal › Article › peer-review
11 Citations (Scopus) -
Comparing methods of randomizing Sobol′ sequences for improving uncertainty of metrics in variance-based global sensitivity estimation
Sun, X., Croke, B., Roberts, S. & Jakeman, A., Jun 2021, In: Reliability Engineering and System Safety. 210, p. 1-10 10 p., 107499.Research output: Contribution to journal › Article › peer-review
41 Citations (Scopus) -
Hydrodynamic modelling of coastal inundation
Nielsen, O., Roberts, S., Gray, D., McPherson, A. & Hitchman, A., 2020, MODSIM05: International Congress on Modelling and Simulation Advances and Applications for Managememnt and Decision Making Proceedings. A. Z. &. R. M. A. (ed.). Peer Reviewed ed. Canberra: Modelling and Simulation Society of Australia and New Zealand Inc., p. 518-523Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review
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One Basin CRC Tier 1 Partner Agreement
Croke, B. (PI), Daniell, K. (CoI), Feldman, H. (CoI), Fu, B. (CoI), Guillaume, J. (CoI), Jakeman, A. (CoI), Kellett, C. (CoI), Merritt, W. (CoI), Renzullo, L. (CoI), Roberts, S. (CoI), Smith, J. (CoI), Van Dijk, A. (CoI), Van Kerkhoff, L. (CoI) & Wyborn, C. (CoI)
1/07/22 → 30/06/32
Project: Research
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ANUGA Enhancement: Parallelisation, Validation and Optimisation. (Note:Linked to#25733 GLC-Q4810016)
Roberts, S. (PI)
1/04/14 → 30/06/14
Project: Research
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Detection of Co2 leaks from a geological storage site using atmospheric measurements
Roberts, S. (PI) & Wilson, P. (CoI)
15/07/13 → 15/12/13
Project: Research
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ANUGA enhancements: parallelisation validation and optimisation
Roberts, S. (PI)
1/11/11 → 30/06/12
Project: Research