Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, ....Robust Reformulation Methods. Many decision problems in engineering, business and economics are modeled as nonlinear continuous optimization problems. Often these are made difficult by the existence of constraints. In this project, we reformulate such problems as constrained nonsmooth equations, rather than optimization problems, and develop generalized Newton and quasi-Newton methods for solving them. The expected outcomes of this project include a systematic theory of reformulation methods, and robust and efficient algorithms for solving some important nonlinear continuous optimization problems. There is high potential for applications in engineering, business and finance.Read moreRead less
Deep ocean thermodynamics and climate change. This project aims to obtain new insights into the thermodynamic and transport properties of mixtures containing water, particularly at high pressures, that impact directly on our understanding of climate change processes. The project will involve the use of a polarisable potential for water which has recently been demonstrated to yield predictions of high accuracy. It will be used to model saline water mixtures containing carbon dioxide, resulting in ....Deep ocean thermodynamics and climate change. This project aims to obtain new insights into the thermodynamic and transport properties of mixtures containing water, particularly at high pressures, that impact directly on our understanding of climate change processes. The project will involve the use of a polarisable potential for water which has recently been demonstrated to yield predictions of high accuracy. It will be used to model saline water mixtures containing carbon dioxide, resulting in valuable data for thermodynamic properties of the world's oceans. These data are of crucial importance for accurate climate change predictions and as such the project will have an important impact on understanding our changing environment.Read moreRead less
Pressure waves on the mechanics of earthquakes and faulting. This project aims to decipher the physics of faulting and earthquakes from damage zones around seismogenic faults. It will examine a mechanism for instability in solids: volumetric collapse due to a dissipative pressure wave. This pressure wave may control damage-zone geometry and relate to earthquake stress and rock material properties. The project will research the instability through theoretical, laboratory and field studies. Antici ....Pressure waves on the mechanics of earthquakes and faulting. This project aims to decipher the physics of faulting and earthquakes from damage zones around seismogenic faults. It will examine a mechanism for instability in solids: volumetric collapse due to a dissipative pressure wave. This pressure wave may control damage-zone geometry and relate to earthquake stress and rock material properties. The project will research the instability through theoretical, laboratory and field studies. Anticipated outcomes include advances in earthquake and fault prediction, tools to determine the stress state and material properties of Earth’s crust, and knowledge of a class of solid instabilities.Read moreRead less