Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems. Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will devel ....Perturbation and approximation methods for linear operators with applications to train control, water resource management and evolution of physical systems. Linear equations are used to solve practical problems. In realistic problems the equations and their solutions depend on parameters obtained by measurement of physical quantities and on data derived from observations and experiments. Changes to the values of the key parameters will lead to changes in the solutions. This project will develop methods to better understand the relationships between the key parameters and the solutions and will apply the new insights to practical problems such as the minimization of fuel consumption in trains, optimal resource management in water supply systems and the evolution of physical systems.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE230101642
Funder
Australian Research Council
Funding Amount
$357,299.00
Summary
Earth’s mid-life crisis: recipe for a habitable planet? This project aims to establish the state and nature of the physical Earth systems (climate, topography, geography, erosion, carbon cycle, oxygen cycle) during the Neoproterozoic Era that made our planet habitable to complex life. By analysing these systems together, fundamental drivers and contributions to making a habitable planet will be untangled. Expected outcomes include the first ever series of climate models of this time period, as w ....Earth’s mid-life crisis: recipe for a habitable planet? This project aims to establish the state and nature of the physical Earth systems (climate, topography, geography, erosion, carbon cycle, oxygen cycle) during the Neoproterozoic Era that made our planet habitable to complex life. By analysing these systems together, fundamental drivers and contributions to making a habitable planet will be untangled. Expected outcomes include the first ever series of climate models of this time period, as well a series of digital reconstructions of the physical systems themselves. Sedimentary hosted ore deposits, such as copper and cobalt, are formed partly as a function of erosion and climate, allowing us to provide a mechanistic driver to their formation, and consequently exploration.Read moreRead less
New Theory and Algorithms for Nonsmooth Optimisation with Application to Integer Programming. Mathematical optimisation plays a key role in a wide variety of applications in business, industry, engineering and science. For example, airlines cannot fly and radiation treatment for cancer cannot be delivered without solving (a series of) optimisation problems. Some classes of optimisation problem are very well solved, with clear mathematical foundations, efficient algorithms, and reliable software ....New Theory and Algorithms for Nonsmooth Optimisation with Application to Integer Programming. Mathematical optimisation plays a key role in a wide variety of applications in business, industry, engineering and science. For example, airlines cannot fly and radiation treatment for cancer cannot be delivered without solving (a series of) optimisation problems. Some classes of optimisation problem are very well solved, with clear mathematical foundations, efficient algorithms, and reliable software implementations. Both nonsmooth and integer optimisation problems have a good mathematical basis, but there are "gaps"; existing methods cannot always solve real industrial problems. This project will deliver better methods, built on better theory, and so will yield better solutions for important applications.Read moreRead less
Response of Proteins to External Non-Ionising Radiation: an Experimental and Computer Modelling Investigation. The expanding use of digital technologies such as mobile phones has led to major health concerns about the effects of non-ionising pulsed radiation exposure which has been shown to produce instantaneous temperature rises undetectable by normal thermometry. The health implications of exposure are not understandable without establishing molecular mechanisms by which pulsed microwaves can ....Response of Proteins to External Non-Ionising Radiation: an Experimental and Computer Modelling Investigation. The expanding use of digital technologies such as mobile phones has led to major health concerns about the effects of non-ionising pulsed radiation exposure which has been shown to produce instantaneous temperature rises undetectable by normal thermometry. The health implications of exposure are not understandable without establishing molecular mechanisms by which pulsed microwaves can cause biological effects. We aim to establish methods for studying the molecular mechanisms of protein structural and energetic changes occurring due to non-ionising radiation. The results will help our industry partner to design specific drugs as well as formulate a scientifically based standard for microwave utilisation.Read moreRead less
Paving the way: an experimental approach to the mathematical modelling and design of permeable pavements. The intelligent use of permeable pavements will enable restoration of degraded land corridors. Collection and treatment of stormwater via filtration through porous media will improve water quality in urban environments and will also control flooding. The integration of ecology and urban living will present a revolutionary way to revitalize cities.
Improving train flows with connected driver advice systems. The project aims to develop new train control theory to determine the efficient movement of multiple trains, and to demonstrate a practical system for coordinating trains, on busy intercity rail corridors. Railways around the world are now deploying driver advice systems developed by the research team and the partner organisation, TTG Transportation Technology. The project is designed to enable these systems to coordinate the movements ....Improving train flows with connected driver advice systems. The project aims to develop new train control theory to determine the efficient movement of multiple trains, and to demonstrate a practical system for coordinating trains, on busy intercity rail corridors. Railways around the world are now deploying driver advice systems developed by the research team and the partner organisation, TTG Transportation Technology. The project is designed to enable these systems to coordinate the movements of many trains on a congested rail network to improve timekeeping, smooth the flow of traffic, increase capacity and reduce energy use.Read moreRead less
Optimal Transforms of Random Vectors. This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelli ....Optimal Transforms of Random Vectors. This proposal focusses on development of optimal transforms to describe and model nonlinear phenomena when only statistical information is known. An optimal transform is a mathematical procedure that enables us to process information in a way that is most suited to the task in hand. These transforms have been successfully used in approximation, information theory, communications, control theory and signal and image processing. Applications include modelling of physical, chemical and biological systems, filtering and compression of signals and data classification and clustering. We propose two new hybrid models for realistic transforms in a general structural framework.
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Synthetic and theoretical studies of metal complexes containing carbon-rich ligands. Previous studies in my group, in conjunction with synthetic and theoretical chemistry groups at the Université de Rennes 1, France, have delineated the properties of a series of complexes containing carbon chains linking two metal centres. Having achieved a partial understanding of the features which result in good electronic communication between the metal centres via the carbon chain, the present proposal see ....Synthetic and theoretical studies of metal complexes containing carbon-rich ligands. Previous studies in my group, in conjunction with synthetic and theoretical chemistry groups at the Université de Rennes 1, France, have delineated the properties of a series of complexes containing carbon chains linking two metal centres. Having achieved a partial understanding of the features which result in good electronic communication between the metal centres via the carbon chain, the present proposal seeks to extend this collaboration to further studies which will generate related compounds in which actual eletron exchange can occur, i.e. leading to oxidation/reduction, by using compounds in which two or more different metal centres are present. This may lead to development of nano devices, e.g. molecular-scale switches. If one of the centres is activated by light, a photo-active sensor may result.Read moreRead less