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
Identification and inference in nonparametric models. This project will develop reliable methods for identification, estimation and inference of nonparametric models for the evaluation of economic policies on outcome variables of interest. This econometric methodology will allow a better understanding of the quantitative effects of an economic policy which will result in better informed policy decisions. The results will have applications to labour market policies, health care policies and educa ....Identification and inference in nonparametric models. This project will develop reliable methods for identification, estimation and inference of nonparametric models for the evaluation of economic policies on outcome variables of interest. This econometric methodology will allow a better understanding of the quantitative effects of an economic policy which will result in better informed policy decisions. The results will have applications to labour market policies, health care policies and education policies among others. The project will also provide national benefits in terms of building up the local stock of researchers trained in the area of identification and estimation of nonparametric models; it will further improve the international reputation that Australia has in econometric theory.Read moreRead less
Non- and Semi-Parametric Panel Data Econometrics: Theory and Applications. This project proposes to tackle several very important and difficult issues in modelling general climatological, economic and financial panel data that involve possible trending components. This project seeks to establish some general asymptotic theory for model estimation and specification technologies that are suited to such general nonlinear panel data that may be stochastically non-stationary and endogenous. The resea ....Non- and Semi-Parametric Panel Data Econometrics: Theory and Applications. This project proposes to tackle several very important and difficult issues in modelling general climatological, economic and financial panel data that involve possible trending components. This project seeks to establish some general asymptotic theory for model estimation and specification technologies that are suited to such general nonlinear panel data that may be stochastically non-stationary and endogenous. The research outcomes of this project are expected to be applicable in evaluating and improving empirical model building and forecasting from better models in climatology, economics and finance with possible endogeneity and nonlinearity and non-stationarity.Read moreRead less
Fundamental investigation of heat and mass transfer in nanofluids: a mechanistic approach. This project aims to develop a mathematical model in order to predict complex boiling in using nanofluids as new coolant for heat removal. Implementation and resultant computer codes thereafter will provide industries with significant benefits and reduce times and costs in their future design of ultra-high efficient heat removal systems.
The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop si ....The Time-Varying Eigenvalue Problem with Application to Signal Processing and Control. Linear models are ubiquitous in representing physical processes. Decomposing a linear model into its fundamental components is known as the eigenvalue problem. In applications as wide ranging as astronomy, aircraft control systems, Internet search engines and communication systems, it is necessary to perform this decomposition of a pertinent time varying linear model on the fly. This project aims to develop significantly faster and more accurate algorithms for this time varying eigenvalue problem than currently exist. Very modern techniques will be employed to achieve this aim, and the potential benefits to Australian hi-tech industries are great.
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Econometric model building and estimation. This project aims to tackle issues in econometric model building and estimation under cross sectional dependence, heterogeneity and nonlinearity. This project will seek to establish flexible econometric models associated with estimation methods and user-friendly computational techniques to try to solve real world problems. The research outcomes are expected to be useful to empirical researchers in evaluating and improving model building and forecasting ....Econometric model building and estimation. This project aims to tackle issues in econometric model building and estimation under cross sectional dependence, heterogeneity and nonlinearity. This project will seek to establish flexible econometric models associated with estimation methods and user-friendly computational techniques to try to solve real world problems. The research outcomes are expected to be useful to empirical researchers in evaluating and improving model building and forecasting from better models in climatology, demography, economics, environment, finance, machine learning and neural networks.Read moreRead less
Mechanism design for next generation random access wireless protocols. Australia is well placed to take the lead in replacing carbon-intensive travel by teleconferencing, because of its isolation and geographic dispersion. Because these large distances introduce inevitable delays, it is important that the network itself add as little delay as possible for such real-time services. Our novel and practical resource allocation scheme will enable Australians (including Australian industries and rural ....Mechanism design for next generation random access wireless protocols. Australia is well placed to take the lead in replacing carbon-intensive travel by teleconferencing, because of its isolation and geographic dispersion. Because these large distances introduce inevitable delays, it is important that the network itself add as little delay as possible for such real-time services. Our novel and practical resource allocation scheme will enable Australians (including Australian industries and rural communities) to receive better service at lower cost. This project will put Australia on the international stage as a leading contributor to wireless Internet technology. We will provide training for PhD students and postdoctoral fellows in this important area.Read moreRead less
Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and ....Multi-Group Stochastic Modelling of Population Balance for Gas-Liquid Flows. Multiphase flow systems are encountered in many process industries such as chemical, petroleum, mining, nuclear, energy, food and pharmaceutical, which are fundamental to the Australian economy. Commercially available computer codes for simulating such systems are currently widely used in many Australian industrial sectors. This research project will address the prevalent deficiency in many of these computer codes and develop new models capable of predicting a wide range of industrial bubbly flow problems. The resultant improved computer codes will provide industries with significant benefits and, in particular, reduce times and costs in their design and production. Read moreRead less
Estimating and Testing Heterogeneous Structural Changes. This project aims to develop new methods of extracting non-central, irregular patterns from data, and to detect such patterns in climate data and city-level racial composition data. The project expects to have methodological and empirical contributions, propose innovative data-driven approaches, and extract important features of climate and racial-composition data. The anticipated outcomes of this project are new methods of measuring the r ....Estimating and Testing Heterogeneous Structural Changes. This project aims to develop new methods of extracting non-central, irregular patterns from data, and to detect such patterns in climate data and city-level racial composition data. The project expects to have methodological and empirical contributions, propose innovative data-driven approaches, and extract important features of climate and racial-composition data. The anticipated outcomes of this project are new methods of measuring the relationship between human activities and extreme weather, and for quantifying dynamic racial composition. These empirical results should demonstrate the substantial benefits of the new methods by presenting important empirical evidence for designing policies against extreme weather and racial segregation.Read moreRead less
A new class of statistical methods for analysing long memory time series models with heteroskedasticity. This project will result in a class of statistical methods that will aid policy makers and financial analysts when examining and predicting key international and Australian macroeconomic and financial variables that exhibit long memory. Leading applications of long memory modelling in the literature include GDP, CPI, asset pricing models, stock returns, exchange rates and interest rates. It w ....A new class of statistical methods for analysing long memory time series models with heteroskedasticity. This project will result in a class of statistical methods that will aid policy makers and financial analysts when examining and predicting key international and Australian macroeconomic and financial variables that exhibit long memory. Leading applications of long memory modelling in the literature include GDP, CPI, asset pricing models, stock returns, exchange rates and interest rates. It will be possible to robustly and efficiently analyse such series in the presence of changes in variability, such as the overall reduction in variability that has occurred since the 1970's, called the "Great Moderation". The utility of the new methods will be demonstrated by a robust and efficient analysis of the Purchasing Power Parity hypothesis.Read moreRead less