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
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
Special Research Initiatives - Grant ID: SR0354741
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of t ....Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of the quantum realm will lead to breakthrough science of vital importance to the development of frontier technologies in Australia. This Network will also place a strong emphasis on research training, the mentoring of early career researchers and establishing collaborations with leading international research groups and networks.
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New quantum and robust control theory with applications to quantum optics. The application of quantum mechanics to the creation of quantum technology promises to be one of the most exciting technological developments of this century. Possible applications of quantum technologies include vastly improved sensors to search for minerals or gravity waves, secure quantum cryptography, and quantum computing. Quantum feedback control is a key tool in quantum technology. This project will lay the fou ....New quantum and robust control theory with applications to quantum optics. The application of quantum mechanics to the creation of quantum technology promises to be one of the most exciting technological developments of this century. Possible applications of quantum technologies include vastly improved sensors to search for minerals or gravity waves, secure quantum cryptography, and quantum computing. Quantum feedback control is a key tool in quantum technology. This project will lay the foundations of systematic theories of robust, coherent and nonlinear quantum feedback control and lead to advances in the control of highly resonant systems which underlie experimental quantum and nano technology. This will enable Australia to reap great benefits as this new technological area emerges.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
Singular photonics: twisted light and optical vortices.
This project will help to establish and support a world-leading research team in Australia in the field of singular photonics and the physics of twisted light; it will help to return the leading positions of the Australian physics in the field of singular optics, and it will initiate a design of a novel generation of photonic devices operating with vortex beams. The project will promote this field in order to enhance its rapid development ....Singular photonics: twisted light and optical vortices.
This project will help to establish and support a world-leading research team in Australia in the field of singular photonics and the physics of twisted light; it will help to return the leading positions of the Australian physics in the field of singular optics, and it will initiate a design of a novel generation of photonic devices operating with vortex beams. The project will promote this field in order to enhance its rapid development and facilitate the emergence of novel technologies in Australia; it will be combined with an extensive collaboration with top overseas groups attracting strong interest from industry.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.
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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.