Use of Interval Arithmetic and GRID Computing in Computational Molecular Science: Bounding Errors and Locating Global Minima. Catastrophic failure of the Ariane 5 rocket in 1996 and the inability of Patriot missile systems to reach their targets during the 1991 Gulf war were both attributed to numerical computing errors. Less dramatic, but in a similar vein, this project aims to study the numerical stability of contemporary computational molecular science applications. The focus will be on linea ....Use of Interval Arithmetic and GRID Computing in Computational Molecular Science: Bounding Errors and Locating Global Minima. Catastrophic failure of the Ariane 5 rocket in 1996 and the inability of Patriot missile systems to reach their targets during the 1991 Gulf war were both attributed to numerical computing errors. Less dramatic, but in a similar vein, this project aims to study the numerical stability of contemporary computational molecular science applications. The focus will be on linear scaling electronic structure codes, methods that are critical to the study of nano- and bio-materials, and are therefore of great importance to our economic future and medical well being. The project will build expertise within Australia in the area of interval arithmetic, an area that is currently poorly represented.Read moreRead less
Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and ta ....Physics of Risk: new tools to survey the Australian market and beyond. The lives of most Australians depend on the dynamics of financial markets that affects investments, savings, business, employment, growth, wealth and -ultimately- the daily functioning of our society. Understanding, monitoring and managing the dynamics of financial markets is of crucial importance to policy-makers, financial institutions and businesses that are increasingly faced with managing risk, planning strategies and taking decisions in an increasingly complex market-place. The project is also of importance to the continued evolution of physics in this country contributing to the emergence of a strong new area of statistical physics concerned with the ?real world? in a manner hitherto unknown.Read moreRead less
NUMERICAL MODELS OF PLATE TECTONICS, MANTLE CONVECTION AND SLAB DYNAMICS WITH EVOLVING FAULTS. We plan to develop a method for simulating large-scale
geological structures with a much improved treatment
of tectonic faults in 3D.
Current computer models have sharp geological faults at plate
boundaries represented by broad, blurred zones. New techniques
for modeling cracks in engineering structures will be scaled up to
the whole Earth.
This will help us to understand how the Earth's p ....NUMERICAL MODELS OF PLATE TECTONICS, MANTLE CONVECTION AND SLAB DYNAMICS WITH EVOLVING FAULTS. We plan to develop a method for simulating large-scale
geological structures with a much improved treatment
of tectonic faults in 3D.
Current computer models have sharp geological faults at plate
boundaries represented by broad, blurred zones. New techniques
for modeling cracks in engineering structures will be scaled up to
the whole Earth.
This will help us to understand how the Earth's plates move and
interact now and in the past and how the structure of the continents
arose.
Not only is this intrinsically interesting, it
will also be of immediate practical benefit to geological modelers.Read moreRead less
The architecture of networks: Characterisation and visualisation of complex systems as fluctuating networks. Complex systems comprise many mutually interacting components, characterised by a range of different interactions over time and space. They are dynamical systems, whose features are reminiscent of a web, with fluctuating links of varying strengths. The natural paradigm for such systems is a generic network, or a graph. A suite of novel measures from statistical physics, graph theory, top ....The architecture of networks: Characterisation and visualisation of complex systems as fluctuating networks. Complex systems comprise many mutually interacting components, characterised by a range of different interactions over time and space. They are dynamical systems, whose features are reminiscent of a web, with fluctuating links of varying strengths. The natural paradigm for such systems is a generic network, or a graph. A suite of novel measures from statistical physics, graph theory, topology, geometry, and computer graphics will be developed to characterise system/graph growth and stability. The aim is two-fold: first to reduce real complex systems (mainly financial systems) to computationally manageable structures (including direct visualisation) and second to construct realistic models of the evolution of such systems.Read moreRead less
Black Hole Accretion: The Effects of Magnetic Fields and Radiation. This project represents a significant contribution by Australian researchers to one of Science's Big Questions: How do Black Holes channel gravitational energy into radiation at many different energies and into high speed outflows. It offers Australian Astronomy an opportunity to expand its endeavours into the rapidly growing and high profile areas of high-energy and computational astrophysics, injecting new expertise into the i ....Black Hole Accretion: The Effects of Magnetic Fields and Radiation. This project represents a significant contribution by Australian researchers to one of Science's Big Questions: How do Black Holes channel gravitational energy into radiation at many different energies and into high speed outflows. It offers Australian Astronomy an opportunity to expand its endeavours into the rapidly growing and high profile areas of high-energy and computational astrophysics, injecting new expertise into the interpretation of multi-wavelength data on accreting black holes. We will train a new cohort of internationally competitive students and early career researchers, equipping them with the advanced computational and modelling skills that are in increasingly higher demand in many technology-based industries.Read moreRead less
Exploring the Frontiers of Feasible Computation. The project aims to delineate the boundary between feasible and infeasible computational problems. A problem is considered feasible if there is an algorithm to solve it in worst-case time bounded by a polynomial in the input size. This is probably impossible for the important class of NP-complete problems. However, typical examples of NP-complete problems can often be solved in polynomial time, because worst-case problems are rare. The project is ....Exploring the Frontiers of Feasible Computation. The project aims to delineate the boundary between feasible and infeasible computational problems. A problem is considered feasible if there is an algorithm to solve it in worst-case time bounded by a polynomial in the input size. This is probably impossible for the important class of NP-complete problems. However, typical examples of NP-complete problems can often be solved in polynomial time, because worst-case problems are rare. The project is relevant to public-key cryptography, where breaking an encryption scheme should be infeasible, and to many real-life situations where NP-complete problems need to be solved, either exactly or approximately.Read moreRead less
Multicast in Single-Hop and Multi-Hop WDM Optical Networks. The emerging Wavelength-Division-Multiplexing (WDM) optical network is a promising candidate for next-generation Internet, which provides enormous bandwidth and fast connectivity. Multicast in WDM networks is a fundamental problem which has wide applications including teleconferencing, entertainment distribution, etc. In this project we investigate the multicast and constraint multicast problems in both single-hop and multi-hop WDM netw ....Multicast in Single-Hop and Multi-Hop WDM Optical Networks. The emerging Wavelength-Division-Multiplexing (WDM) optical network is a promising candidate for next-generation Internet, which provides enormous bandwidth and fast connectivity. Multicast in WDM networks is a fundamental problem which has wide applications including teleconferencing, entertainment distribution, etc. In this project we investigate the multicast and constraint multicast problems in both single-hop and multi-hop WDM networks by studying their computational complexities and devising scalable, high-quality approximation algorithms for them. The developed algorithms significantly improve the network performance and scalability, and the innovative approaches and algorithm techniques developed in this project are also applicable to other routing problems.Read moreRead less
Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing ....Design Efficient Routing Protocols For WDM Optical Networks. The optical network technique plays a key role to the next-generation networks. In particular, wavelength-division-multiplexing (WDM) optical networks have emerged as a promising candidate for next-generation networks in providing huge available bandwidth and connectivity.
Routing and wavelength assignment problem is one of the fundamental problems in WDM optical networks. In this project we primarily focus on devising and analyzing efficient routing algorithms for all-to-all routing and robust routing in the WDM networks. Incorporated with various known techniques, practical algorithms will be developed. The algorithms and techniques developed in this project will be through simulation, testing, and implementation.Read moreRead less
Practical and theoretical aspects of structure enumeration. Many areas of study involve processing of large numbers of
objects in some class. These are countless examples in
chemistry, physics, mathematics, and other disciplines.
Structure Enumeration is the study of methods for efficient
generation and analysis of such objects. The project will
involve exploitation and extension of recent advances, many
due to the CI, which have added orders of magnitude to what
was possible only a few ....Practical and theoretical aspects of structure enumeration. Many areas of study involve processing of large numbers of
objects in some class. These are countless examples in
chemistry, physics, mathematics, and other disciplines.
Structure Enumeration is the study of methods for efficient
generation and analysis of such objects. The project will
involve exploitation and extension of recent advances, many
due to the CI, which have added orders of magnitude to what
was possible only a few years ago. The outcome will be a
combination of theoretical results and practical achievements,
whose usefulness will be demonstrated with some serious
applications in physics and mathematics.
Read moreRead less
Structure enumeration, applications and analysis. Structure enumeration and analysis is at the heart of finite mathematics and its many fields of application in diverse scientific disciplines. Australia has a substantial status in this field both in mathematics and physics. This project will enhance that status and develop greater ties with the centres of structure research in other parts of the world.