Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave sec ....Advanced Bayesian Inversion Algorithms for Wave Propagation. This project aims to improve algorithms for detecting hidden items by developing new computational mathematical techniques capable of reconstructing the shape and location of objects using electromagnetic waves. This project expects to generate new knowledge in the areas of Bayesian Inversion and computational wave propagation. Expected outcomes of this project are algorithms that can be developed for use in nonintrusive radio wave security scanners. This should provide benefits such as the capability to scan a crowd without a checkpoint, which will have the potential to improve security in public places.Read moreRead less
Complete blood fractionation using a low-cost microfluidic system. This project aims to understand particle focusing in inertial microfluidic systems to design efficient devices for cell sorting. The field of microfluidics could ultimately advance medical research but device design is primitive. Microfluidic particle separations are not thoroughly simulated before fabrication to predict performance. This project is expected to accelerate progress in design of efficient microfluidic devices. The ....Complete blood fractionation using a low-cost microfluidic system. This project aims to understand particle focusing in inertial microfluidic systems to design efficient devices for cell sorting. The field of microfluidics could ultimately advance medical research but device design is primitive. Microfluidic particle separations are not thoroughly simulated before fabrication to predict performance. This project is expected to accelerate progress in design of efficient microfluidic devices. The knowledge and models developed in this project should help design and develop a microfluidic device for efficient fractionation of complex fluids into valuable components.Read moreRead less
Particle segregation and dynamics in inertial microfluidics systems. This project aims to produce microfluidic devices suitable for high-throughput cell sorting and cellular therapy in the biopharmaceutical industry. This project will combine state-of-the-art experimental approaches with advanced modelling techniques to design and develop the new generation of filtration systems for the pharmaceutical industry. The knowledge and models developed in this project will assist design and development ....Particle segregation and dynamics in inertial microfluidics systems. This project aims to produce microfluidic devices suitable for high-throughput cell sorting and cellular therapy in the biopharmaceutical industry. This project will combine state-of-the-art experimental approaches with advanced modelling techniques to design and develop the new generation of filtration systems for the pharmaceutical industry. The knowledge and models developed in this project will assist design and development of a unique platform for scalable, high-throughput, low-cost and continuous cell separation.Read moreRead less
Numerically Robust Extruder Die Design for Fabricating High-Quality Preforms for Microstructured Polymer Optical Fibres. Microstructural polymer optical fibres (mPOFs) were pioneered in Australia, are now comparable in performance (but much more versatile) than conventional polymer fibre, and are a highly attractive commercial option. Potential industrial applications envisage cost-effective preform fabrication as a key issue, with extrusion as the favoured route. This interdisciplinary project ....Numerically Robust Extruder Die Design for Fabricating High-Quality Preforms for Microstructured Polymer Optical Fibres. Microstructural polymer optical fibres (mPOFs) were pioneered in Australia, are now comparable in performance (but much more versatile) than conventional polymer fibre, and are a highly attractive commercial option. Potential industrial applications envisage cost-effective preform fabrication as a key issue, with extrusion as the favoured route. This interdisciplinary project benefits Australia by (i) extending and exploiting our research advantages in advanced photonics and computational rheology, (ii) providing the 'missing link' for large-scale mPOF production and positioning us to reap the economic benefits of this innovative technology, and (iii) providing computational techniques for rheological modelling that are applicable in diverse Australian industry sectors.Read moreRead less
The formation of stars and planets. This project will identify the mechanisms that create stars and planets, providing a sound basis for studying the birth of planetary systems with next-generation telescopes. It will maintain Australia's position at the forefront of astronomy and the advanced computational methods we shall develop will have applications in many other fields.
Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, i ....Decomposition and Duality: New Approaches to Integer and Stochastic Integer Programming. Because of their rich modelling capabilities, integer programs are widely used in industry for decision making and planning. However their solution algorithms do not have the maturity of their cousins in convex optimisation, where the theory of strong duality is ubiquitous. Efficient methods for convex optimisation under uncertainty do not apply to the integer case, which is highly non-convex. Furthermore, integer models usually assume the data is known with certainty, which is often not the case in the real world. This project will develop new theory and algorithms to enhance the analysis of integer models, including those that incorporating uncertainty, while also enabling the use of parallel computing paradigms. Read moreRead less
Advanced computational algorithms for three-dimensional systems. This project deals with the development, analysis and implementation of efficient computer algorithms for a range of complex three dimensional systems. Major areas of focus are forward and inverse acoustic and electromagnetic scattering; dynamical and evolution processes in water waves and tumour growth; and the solution of mathematical models on spheres (earth). Potential application areas of the project include defence science ....Advanced computational algorithms for three-dimensional systems. This project deals with the development, analysis and implementation of efficient computer algorithms for a range of complex three dimensional systems. Major areas of focus are forward and inverse acoustic and electromagnetic scattering; dynamical and evolution processes in water waves and tumour growth; and the solution of mathematical models on spheres (earth). Potential application areas of the project include defence science; ocean engineering; medical research; meteorology and global environmental sciences.Read moreRead less
Novel mathematics and numerical methods for ferromagnetic problems. This project aims to develop novel mathematical theories and numerical methods for ferromagnetic problems. These problems arise from many real-life applications, for example in storage devices and magnetic sensors, which are often affected by random (thermal) noise. Since thermal noise limits the data-retention time of the devices, analysing the effect of noise is highly significant. Expected outcomes will be novel computational ....Novel mathematics and numerical methods for ferromagnetic problems. This project aims to develop novel mathematical theories and numerical methods for ferromagnetic problems. These problems arise from many real-life applications, for example in storage devices and magnetic sensors, which are often affected by random (thermal) noise. Since thermal noise limits the data-retention time of the devices, analysing the effect of noise is highly significant. Expected outcomes will be novel computational techniques to solve the underlying equations and deal with randomness. The project aims to put Australia in the forefront of international research in numerical methods in micromagnetism. The new computational methods are expected to be used to advance technology in magnetic memory devices.Read moreRead less
Interface-aware numerical methods for stochastic inverse problems. This project aims to design novel high-performance numerical tools for solving large-scale forward and inverse problems dominated by stochastic interfaces and quantifying associated uncertainties. In real-world applications such as groundwater, these tools are instrumental for assimilating big datasets into mathematical models for providing reliable predictions. By advancing and integrating high-order polytopal schemes, multileve ....Interface-aware numerical methods for stochastic inverse problems. This project aims to design novel high-performance numerical tools for solving large-scale forward and inverse problems dominated by stochastic interfaces and quantifying associated uncertainties. In real-world applications such as groundwater, these tools are instrumental for assimilating big datasets into mathematical models for providing reliable predictions. By advancing and integrating high-order polytopal schemes, multilevel methods, transport maps, and dimension reduction, this project's anticipated outcomes are highly accurate and cost-efficient numerical schemes, certified by rigorous mathematical analysis. This should provide data-centric simulation tools with enhanced reliability, for engineering and scientific applications.Read moreRead less
Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with inter ....Constrained and Stable Solutions of Nonlinear and Semismooth Equations. In this project, comprehensive models for designing safe power system parameters will be proposed, efficient algorthms for solving these models will be constructed. The new models and algorithms in this project will provide efficient tools to prevent catastrophic events in power systems, which is related with national security. This project will also strengthen collaboration of Australian applied
mathematians with international researchers and engineering scientists. This is important for the advance of science and technology in
Australia.Read moreRead less