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Numerical Analysis and Computational Mathematics
The group, which is internationally recognised, underpins computational modelling in every area of technology and science. Some areas of special focus include advanced methods for differential and integral equations, and algorithms for high dimensional problems. Academic and research staff in the group make extensive use of high performance computing and advanced visualisation, in combination with modern analysis. They have strong involvement in the Centre for Mathematics and Statistics of Complex Systems, a research centre funded by the Federal Government. Research Interests
- High dimensional integration, quasi Monte-Carlo methods, complexity.
- Approximation and cubature on the sphere.
- Computational approaches to PDEs and boundary integral equations.
- Time-stepping and parallel-time algorithms for evolutionary problems.
- Application to three dimensional tumour growth and water waves models.
- Direct and inverse scattering.
- Adaptive methods for elliptic and parabolic problems.
- Iterative methods and preconditioners for PDEs.
- Numerical methods for continuous and nonsmooth optimization problems.
- Algorithms for high performance (parallel) computers.
Group Members
Research Fellows
Programmer
Postgraduate Students
- Jan Baldeaux, Quasi Monte Carlo Methods: Theory and Applications
- Catherine Morgan, Robust optimization and naval applications.
Collaborators
- Mark Ainsworth, Strathclyde University
- Xiaojun Chen, Hong Kong Polytechnic University, Hong Kong
- Willi Freeden, University of Kaiserlautern, Germany
- Mahadevan Ganesh, Colorado School of Mines, USA
- Ivan Graham, University of Bath, England
- Rolf Grigorieff, Technical University, Berlin
- Benqi Guo, University of Manitoba, Canada
- Kerstin Hesse, University of Sussex
- Fred Hickernell, Hong Kong Baptist University, Hong Kong
- Youngmok Jeon, Ajou University, Korea
- Stephen Joe, Waikato University, New Zealand
- Paul Leopardi ANU
- Matthias Maischack, University of Hannover, Germany
- Lin Ping, National University of Singapore
- Lucien Polak, Berkeley
- Liqun Qi, Hong Kong Polytechnic University
- Ed Saff, Vanderbilt University, USW
- Robert Scheichl University of Bath, UK
- Dongwoo Sheen, Seoul National University
- Olaf Steinbach, University of Stuttgart
- Ernst Stephan, University of Hannover
- Alvise Sommariva, University of Pauda<\i>
- Vidar Thomee, Visiting Professor, UNSW
- Dr Ben Waterhouse
- Wolfgang Wendland, University of Stuttgart
- Holger Wendlord, Sussex University, UK
- Greg Wosilkowski University of Kentucky, USA
- Henryk Wozniakowski, Columbia University, NY
Facilities
Relevant Courses
Links
Related Groups
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