Skip to content

Student topics

Filter by faculty:

Found 91 matching student topics

Displaying 1–12 of 91 results

Computational modelling using exponential integrators

Many physical processes can be modelled using time and space dependent partial differential equations. The solution of these equations provides researchers/industry with valuable insight into the underlying process and can often be used to explain phenomena that has been observed experimentally. However, due to the complexity of these processes and the irregular geometries on which they apply, exact analytical solutions to the governing equations are almost always not accessible. In such cases, numerical solution methods must be called upon to …

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Optimising portfolios of management for the Great Barrier Reef

This project will involve adapting Modern Portfolio Theory to develop optimal management approaches to sustain the Great Barrier Reef. Modern Portfolio Theory is an integer programming approach that allocates resources in risky scenarios where investment options are correlated. It can accommodate significant and unavoidable uncertainties, stochasticity, and correlations between options. A diversified portfolio is less volatile than the sum of its parts, and therefore in order to ensure environmental benefits in the future we should invest in a diversity of …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Cryptanalysis of authenticated encryption algorithms

Cryptography is the science of securing communications. It includes encryption (to provide confidentiality of message content), message authentication (to provide some assurance that the content has not been altered in transit) and a number of other services. These services can be provided by dedicated algorithms (block ciphers) or by finite state machines (stream ciphers, 'sponge' structures).Algorithms that have been proposed for providing such services are analysed using various techniques, to determine if there are any weaknesses that an attacker could …

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

The reduction of multi-scale porous electrode models using approximation methods

Two-phase porous electrodes are at the heart of many modern day energy storage technologies such as batteries and solar cells. To effectively simulate the operation of these structures a multi-scale mathematical modelling approach is required. This approach results in a system of stiff, coupled, nonlinear partial differential equations that require numerical solution.

Study level
Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Modelling and simulation of industrial processes and products

Industrial processes and products can be described as 'multi-problems' in that they are often multi-scale, multi-phase and multi-component in nature. The analysis of such problems sits in the exciting nexus of applied mathematics, physical science and engineering science.

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Computational modelling in porous media

We are offering opportunities to conduct research in developing computationally efficient, modelling approaches for simulating multiphase transport in heterogeneous porous media.This has importance to such disparate applications as ground water flow, the extraction of coal seam gas, and drying.There are additional complexities in terms of developing and implementing new numerical approaches that may also benefit from supercomputers.

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Sequences for cryptography and communications

Pseudo-random sequences have applications in many fields, including cryptography and other areas of communications (information transmission and retrieval). For these applications it is often useful to consider binary sequences that can be generated from a finite state using a Boolean state update function.For most applications, desirable sequence properties include maximal period, high non-linearity, high algebraic degree and several others. These can be assessed for any given function; however, for states of moderate size it is not feasible to list all …

Study level
PhD, Master of Philosophy, Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

The freezing method for models with chemotaxis

The freezing method is a numerical technique developed by Byen and collaborators to numerically compute and investigate the stability of traveling waves in partial differential equations (PDEs). The freezing method uses equivariances to transform the PDE into a partial differential algebraic equation (PDAE) and subsequently solves this PDAE. Currently, the freezing method does not work for a suite of models for cell migrations since these models possess chemotaxis terms.The aims of this project are to:understand the freezing methodextend it to …

Study level
Honours
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Stochastic patterns of tissue inclusions

Biological tissue growth involves the secretion of new tissue (extracellular matrix, collagen fibers) by cells. This secretion incorporates scattered inclusions such as proteins and minerals into the new tissue. During bone tissue growth, some of the tissue-secreting cells themselves become incorporated into the new tissue. The distribution of these tissue-embedded cells is believed to influence subsequent tissue growth processes.

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Collisions with evolving surfaces

The density of impacts of particles colliding with an evolving surface is of particular interest for several industrial and biological applications. These include etching and deposition processes [1], the incorporation of molecules in a tissue during its growth, budding cell membranes, and biological tissue growth [2]. Impacts on an evolving surface are generated unevenly depending on the relative velocity between the particles and the surface. The distribution of impacts further evolves in a curvature-dependent manner due to the local distortions …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
Lead unit
School of Mathematical Sciences

Modelling the dewatering of sugarcane biomass

The extraction of juice from sugar cane straw results in a final product (bagasse) moisture close to 48%. In Australia approximately 9 million tonnes are produced each year. There are many uses for bagasse, however in Australia it is mainly burnt in boilers to provide steam and electricity in sugar factories, as well as exporting to the electricity grid. Because sugar cane absorbs carbon dioxide from the atmosphere, bagassse is a green house gas neutral fuel.A reduction of moisture from …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
Lead unit
School of Civil Engineering and Built Environment

Discovering organisational knowledge from process event logs

Process mining enables data-driven process analysis using the massive amount of event log data captured by information systems in today's organisations. Various techniques have been developed to help extract insights about the actual business processes with the ultimate goal to improve process performance as well as the organisations' business performance.As an important sub-field of process mining, organisational mining focuses on discovering organisational knowledge, including e.g. organisational structures and human resources relevant to the performance of a business process, from event …

Study level
PhD, Master of Philosophy, Honours, Vacation research experience scheme
Faculty
Science and Engineering Faculty
Lead unit
School of Information Systems

Page 1 of 8