Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be ....Option pricing via path integrals: a new perspective. The risk management of derivative securities is a very exciting challenge for financial market researchers. The knowledge base resulting from this proposal will benefit both large financial institutions and Australia's financial system by creating a more competitive and efficient economic environment, which will inevitably lead to more gross domestic product (GDP) gains.Furthermore a large amount of software and numerical analysis work to be developed during the project can be turned into IP for Australia. This will contribute to catalysing development of internationally competitive financial risk management software industry.Read moreRead less
Effective and accurate model dynamics, deterministic and stochastic, across multiple space and time scales. A persistent feature of complex systems in engineering and science is the emergence of macroscopic, coarse grained, coherent behaviour from the interactions of microscopic agents (molecules, cells, grains) and with their environment. In current modeling, ranging from ecology to materials science, the underlying microscopic mechanisms are often known, but the closures to translate microscal ....Effective and accurate model dynamics, deterministic and stochastic, across multiple space and time scales. A persistent feature of complex systems in engineering and science is the emergence of macroscopic, coarse grained, coherent behaviour from the interactions of microscopic agents (molecules, cells, grains) and with their environment. In current modeling, ranging from ecology to materials science, the underlying microscopic mechanisms are often known, but the closures to translate microscale knowledge to a system level macroscopic description are rarely available in closed form. Our novel methodology will explore this stumbling block, and promises to radically change the modeling, exploration and understanding of multiscale complex system behaviour.Read moreRead less
Modelling of multiscale systems in engineering and science supports large-scale equation-free simulations and analysis. A persistent feature of complex systems in engineering and science is the emergence of macroscopic, coarse grained, coherent behaviour from the interactions of microscopic agents (molecules, cells) and with their environment. In current modeling, ranging from ecology to materials science, the underlying microscopic mechanisms are known, but the closures to translate microscale ....Modelling of multiscale systems in engineering and science supports large-scale equation-free simulations and analysis. A persistent feature of complex systems in engineering and science is the emergence of macroscopic, coarse grained, coherent behaviour from the interactions of microscopic agents (molecules, cells) and with their environment. In current modeling, ranging from ecology to materials science, the underlying microscopic mechanisms are known, but the closures to translate microscale knowledge to a system level macroscopic description are rarely available in closed form. Our novel, equation free, computational methodologies will circumvent this stumbling block, and promises to radically change the modeling, exploration and understanding of complex system behavior. We continue to develop this powerful computational methodology. Read moreRead less
A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Aus ....A new perturbation method for solving singular operator equations with applications to complex systems. This project will develop new methods for analysis of web-based search routines such as Google PageRank, a new algorithm for optimal estimation of random signals, more accurate error analysis in the approximate solution of singular systems of equations and enhanced understanding of models for the simulated management of urban stormwater. The project will involve collaboration between two Australian universities and a leading European Research Institute. It will provide employment and vital training for two postdoctoral Research fellows and research projects for three postgraduate students and two honours students.Read moreRead less
The design and development of a novel high power-to-weight actuator. Powerful and compact actuators are becoming increasingly in demand due to the sophistication in a range of uses varying from aerospace to automotive accessories. The aim of this project is to develop an actuator with high performance and power-to-weight ratio, suitable for use in cutting-edge applications. In the first instance, the focus will be on developing an automotive mirror actuator in close collaboration with the indust ....The design and development of a novel high power-to-weight actuator. Powerful and compact actuators are becoming increasingly in demand due to the sophistication in a range of uses varying from aerospace to automotive accessories. The aim of this project is to develop an actuator with high performance and power-to-weight ratio, suitable for use in cutting-edge applications. In the first instance, the focus will be on developing an automotive mirror actuator in close collaboration with the industrial partner, but the generic research outcomes will be applicable to development of actuators for other purposes. The new generation actuators will contribute to Australian manufacturing exports to become internationally competitive.Read moreRead less
Multiscale modelling of systems with complex microscale detail. In modern science and engineering many complex systems are described by distinctly different microscale physical models within different regions of space. This project is to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling and computation of such systems for application in industrial research and development. Our sparse simulations, justified with mathematical analysis, use ....Multiscale modelling of systems with complex microscale detail. In modern science and engineering many complex systems are described by distinctly different microscale physical models within different regions of space. This project is to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling and computation of such systems for application in industrial research and development. Our sparse simulations, justified with mathematical analysis, use small bursts of particle/agent simulations, PDEs, or difference equations, to efficiently evaluate macroscale system-level behaviour. The objective is to accurately interface between disparate microscale models and establish provable predictions on how the microscale parameter spaces resolve at the macroscale.Read moreRead less
Multiscale modelling of systems with complex microscale detail. This project aims to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling of systems with microscopic irregular details. The methodology, justified with mathematical analysis and computation, uses small bursts of particle/agent simulations, partial differential equation (PDEs), or difference equations, to efficiently predict macroscale behaviour. This project’s mathematical meth ....Multiscale modelling of systems with complex microscale detail. This project aims to develop systematic mathematical and computational methods for the compact and accurate macroscale modelling of systems with microscopic irregular details. The methodology, justified with mathematical analysis and computation, uses small bursts of particle/agent simulations, partial differential equation (PDEs), or difference equations, to efficiently predict macroscale behaviour. This project’s mathematical methodology aims to efficiently and accurately extract and simulate the collective dynamics which emerge on macroscales, leading to improved prediction and understanding of the significant features of these complex systems at the scale relevant to engineers and scientists.Read moreRead less
Advanced studies of QCD and the strong interaction. This project will significantly advance our knowledge of the subatomic structure of the universe. It will maintain excellence and strength in an area where Australia has built an outstanding international reputation over the past decade. It will place Australia at the cutting edge of fundamental and computational science research and it will maintain and grow strong international links. It will produce Australian graduates and research associa ....Advanced studies of QCD and the strong interaction. This project will significantly advance our knowledge of the subatomic structure of the universe. It will maintain excellence and strength in an area where Australia has built an outstanding international reputation over the past decade. It will place Australia at the cutting edge of fundamental and computational science research and it will maintain and grow strong international links. It will produce Australian graduates and research associates of high quality, who will benefit from participating in these state-of-the-art studies and from the advanced training in modelling, high-performance computer simulation and visualisation. This training will have major economic benefits for and provide strong links to Australian industry.Read moreRead less
The Essence of QCD Vacuum Structure. This first-principles study of quantum field theory will elucidate an outstanding mystery of modern particle physics. Understanding confinement is recognized as one of the top 10 Physics Questions to Ponder for a Millennium or Two. In support of the National Research Priorities, new scientific data visualization techniques will be transferred to industry, facilitating smart information use. Further economic benefits are realized through the training and devel ....The Essence of QCD Vacuum Structure. This first-principles study of quantum field theory will elucidate an outstanding mystery of modern particle physics. Understanding confinement is recognized as one of the top 10 Physics Questions to Ponder for a Millennium or Two. In support of the National Research Priorities, new scientific data visualization techniques will be transferred to industry, facilitating smart information use. Further economic benefits are realized through the training and development of expertise in high-performance parallel computing, promoting an innovation culture and economy. The opportunity for young Australian Honours and Postgraduate students to work at the forefront of nuclear and particle theory is an obvious social benefit.
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Advanced Studies of Non-Perturbative Quantum Electrodynamics (QED) and Relation to the Standard Model. The project is a high-precision study of nonperturbative quantum electrodynamics (QED). It will finally allow a detailed look into the inner workings of the "best theory we have". It will provide valuable guidance in understanding and constructing the "holy grail" of theoretical physics the so-called "theory of everything". It will place Australia at the cutting edge of fundamental theoretical ....Advanced Studies of Non-Perturbative Quantum Electrodynamics (QED) and Relation to the Standard Model. The project is a high-precision study of nonperturbative quantum electrodynamics (QED). It will finally allow a detailed look into the inner workings of the "best theory we have". It will provide valuable guidance in understanding and constructing the "holy grail" of theoretical physics the so-called "theory of everything". It will place Australia at the cutting edge of fundamental theoretical research. Australian graduate and undergraduate students will benefit from participating in this work and the state-of-the-art expertise that they will develop has a clear social and economic benefit for Australia.Read moreRead less