The improvement of climate change investigations by developing and applying innovative evolutionary subset time series modelling using semi-parametric sparse-patterned approaches. With an estimated US$6.98 trillion loss indicated in the Stern review, severe climate change will make world climate conditions harsher and more likely include large natural climate disasters. The health of the Australian economy is critically dependent on decisions of environmental managers. However, most problems of ....The improvement of climate change investigations by developing and applying innovative evolutionary subset time series modelling using semi-parametric sparse-patterned approaches. With an estimated US$6.98 trillion loss indicated in the Stern review, severe climate change will make world climate conditions harsher and more likely include large natural climate disasters. The health of the Australian economy is critically dependent on decisions of environmental managers. However, most problems of complexity arising in climate change involve issues on which we do not possess a deep understanding. This project draws upon a set of inter-disciplinary concepts and models centred in neural networks that enable us to advance our understanding of complexity, leading to superior quantitative tools and models to allow for improved environmental decision-making.
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Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex ....Nonsmooth Optimization in Constrained Spline Interpolation. Traditional methods based on standard calculus may not work for optimization problems with constraints; however, such problems can be reformulated as nonsmooth problems that need special treatment. The project aims to approach several important problems in constrained spline interpolation and approximation, from the perspective of nonsmooth optimization. The research, which builds upon a recent breakthrough in the approach to the convex best interpolation by the applicant and his collaborators, is expected to provide fundamental theory for Newton-type methods being used for these problems with a vast number of applications in data fitting and curve and surface design.Read moreRead less
Multi-scale Modelling and Simulation of Self-assembling Photonic Crystals. By using bandgaps and introduced defect states, photonic crystals provide the opportunities to shape and mould the flow of light. A success in fabricating 3D photonic crystals with complete bandgaps in a controllable and large-scale fashion will revolutionise the information & telecommunication industry. This ability will provide Australia with a significant niche opportunity at the leading edge of this frontier technolog ....Multi-scale Modelling and Simulation of Self-assembling Photonic Crystals. By using bandgaps and introduced defect states, photonic crystals provide the opportunities to shape and mould the flow of light. A success in fabricating 3D photonic crystals with complete bandgaps in a controllable and large-scale fashion will revolutionise the information & telecommunication industry. This ability will provide Australia with a significant niche opportunity at the leading edge of this frontier technology. It builds on Australia's established strength in material science, photonics, and information & communication technology. The mathematical models, simulation platform, and fabrication methods developed in this project will also be applicable to creating other highly-structured, functional materials.Read moreRead less
Fluid dynamics and mechanical stress of tissue heart valves. Major problems with thrombo-embolic complications and leaflet failure and calcification still exist with bioprosthetic valves. Valves fabricated from polyether urethanes are efficient and can offer more resistance to calcification. No complete study on the haemodynamics and structure interactions is found in literature. Moreover, todate the effect of aortic wall motion on the blood flow has never been examined. A complete holistic ap ....Fluid dynamics and mechanical stress of tissue heart valves. Major problems with thrombo-embolic complications and leaflet failure and calcification still exist with bioprosthetic valves. Valves fabricated from polyether urethanes are efficient and can offer more resistance to calcification. No complete study on the haemodynamics and structure interactions is found in literature. Moreover, todate the effect of aortic wall motion on the blood flow has never been examined. A complete holistic approach to simulataneuosly simulating the fluid dynamics, the valve motion and the stress in a synthetic Polyether urethane valve is proposed. Cell adhesion study will also be carried out. The findings may yield to new insights into valve research.Read moreRead less
Market Model of Implied Volatility. The outcomes of the project will constitute a new methodology with a wide range of tools to handle the market uncertainties with practical applications in the finance industry. Consequently, the benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of modelling of complex stochastic systems and the benefits resulting from its commercially rele ....Market Model of Implied Volatility. The outcomes of the project will constitute a new methodology with a wide range of tools to handle the market uncertainties with practical applications in the finance industry. Consequently, the benefits of this project to the nation include enhancing its scientific standing in the international community, the training of Australian researchers in forefront methods of modelling of complex stochastic systems and the benefits resulting from its commercially relevant elements. Read moreRead less
Advanced computational techniques for micro/nano multiscale systems of NEMS/BioMEMS. The outcome of this project will have the following benefits to Australia.
1) It will improve the research level in the area of multiscale simulation of NEMS/BioMEMS;
2) The project will be beneficial to possibly establish new industries in the areas of nanotechnology as well as to make good use of today's microelectronics, mircofabrication and computer technology that have already established in Australia;
....Advanced computational techniques for micro/nano multiscale systems of NEMS/BioMEMS. The outcome of this project will have the following benefits to Australia.
1) It will improve the research level in the area of multiscale simulation of NEMS/BioMEMS;
2) The project will be beneficial to possibly establish new industries in the areas of nanotechnology as well as to make good use of today's microelectronics, mircofabrication and computer technology that have already established in Australia;
3) The manpower trained by this project in the areas of multi-scale simulation of MEMS/NEMS/BioMEMS will provide a crucial support for the future industry of Australia.
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Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for ....Risk Measures and Management in Finance and Actuarial Science Under Regime-Switching Models. New models for assessing and managing risk of financial products will place Australia at the forefront of risk management. The work will also sustain the competitive edge of Australia as one of the major financial centres in the Asia-Pacific region through enhancing both the theory and practice of financial risk management. The project outcome will also benefit to the country in other areas of risk, for example, environment risk, climate change, and energy and security problems.Read moreRead less
Polar Cap Region Boundary Dynamics. Geomagnetic storms have the potential to severely impair critical technology infrastructure. Consequences of strong geomagnetic activity can include power failures, pipeline corrosion, satellite failures, inaccurate GPS positioning and radio navigation. Knowledge of how, where and under which conditions this activity occurs is therefore crucial. The primary aim of this project is to extend our knowledge of the mechanisms by which this activity occurs. This wor ....Polar Cap Region Boundary Dynamics. Geomagnetic storms have the potential to severely impair critical technology infrastructure. Consequences of strong geomagnetic activity can include power failures, pipeline corrosion, satellite failures, inaccurate GPS positioning and radio navigation. Knowledge of how, where and under which conditions this activity occurs is therefore crucial. The primary aim of this project is to extend our knowledge of the mechanisms by which this activity occurs. This work will consolidate Australia's international space profile and provide excellent training in this field, helping Australia's future technology development.Read moreRead less
Dynamic risk measures. Exposure to risk is a pervasive problem. The results will be of importance for financial institutions when they estimate their exposure to risk. Other applications will be to determine the level of risk from a terrorist attack or regional instability. Companies wish to allocate resources to minimize their exposure to adverse events.
Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for e ....Unified approach for the stability analysis of large concrete dams due to ageing degradation. The expected outcome of this research is the availability of an innovative methodology for the safety assessment of aged concrete dams. Most of the concrete dams built in Australia and elsewhere have been in service for over 50 years. Degradation effects on aged concrete dams, and resistant ability of such aged concrete dams against hostile natural events, such as earthquakes, are of great concern for engineers. The safety assessment of aged concrete dams can be done rationally by the proposed method which will provide a better knowledge of the ageing effects on concrete dams. The approach will provide a tool for rational decision-making as to the structural rehabilitation of large concrete dams affected by ageing degradation.Read moreRead less