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  • Language of University Mathematics 
    Wood Leigh; Smith Geoff (ICME 2004, 2004)
    Using the example of de Moivre's theorem, we show that the ability to translate between different representations of the same mathematical concepts is vital for success in mathematics. Computer algebra systems have added ...
  • Laplace transform identities for diffusions, with applications to rebates and barrier options 
    Hulley Hardy; Platen Eckhard (Polska Akademia Nauk, 2008)
    Using a simple integral identity, we derive general expressions for the Laplace transform of the transition density of the process, if killing or reflecting boundaries are specified. We also obtain a number of useful ...
  • Local Density of States Calculations for Photonic Crystals 
    Langtry Timothy; Botten Lindsay; Asatryan Ara; Mcphedran Ross (Queensland Parallel Supercomputing Facilty and Australian Partnership for Advasnced Computing, 2001)
    Photonic crystals are a novel class of optical materials that, almost certainly, will underpin major advances in future communication and computer technology. In a photonic crystal, the periodic distribution of refractive ...
  • Meeting expectations - a focus of professional practice in an final year undergraduate mathematics course 
    Groen Layna (Uniserve Science, 2007)
  • Minimum norm dual solutions and column generalisation stabilisation 
    Neame Philip (Western Australian Centre of Excellence in Industrial Optimisation, Curtin University of Technology, 2005)
    Column generation is an important technique for solving very large-scale integer programming problems, with important applications in crew scheduling and vehicle routing. However, it has been observed that the column ...
  • Monitoring Bridge Deterioration using sensors 
    Samali Bijan; Li Jianchun; Aboura Khalid (IEEE, 2008)
    Structural health monitoring is a vital part in the management of bridges, particularly as the structures begin to age. Detecting structural faults through the use of sensors is an emerging field that has seen considerable ...
  • Multi-Follower Linear Bilevel Programming: Model and Kuhn-Tucker Approach 
    Lu Jie; Shi Chenggen; Zhang Guangquan; Ruan Da (IADIS Press, 2005)
    The majority of research on bilevel programming has centered on the linear version of the problem in which only one leader and single follower are involved. This paper proposes a general model and Kuhn-Tucker approach for ...
  • Natural Ventilation Flow Rate performance and Product Development 
    West, S. T (Queensland University of Technology, 2005)
    The natural ventilation testing methodology developed at the University of Technology, Sydney (UTS) to distinguish a ventilators flow rate performance due to wind siphonage as distinct from stack effect (temperature / ...
  • The need for higher education reform - problems faced with assessing collaborative team based work 
    D'Souza Sabita; Wood Leigh (ICME 2004, 2004)
    With a rise in group work across schools and universities, there has been a great deal of research regarding the beneficial impacts of teamwork on learning. However, research is limited in the area of assessment of ...
  • A new hybrid real-coded genetic algorithm and application in dynamic economic dispatch 
    Zhang Guoli; Lu Hai Yan; Li Geng Yin; Hie X (The Institute of Electrical and Electronic Engineers Inc (IEEE), 2006)
    This paper builds a dynamic economic dispatch model with a non-smooth cost function and ramp rate constraints. A new hybrid real-coded genetic algorithm with quasi-simplex techniques was proposed to solve the builded ...
  • A novel design of active inductors based on current controlled voltage sources 
    Pierzchala Marian; Fakhfakh M; Rodanski Benedykt (IEEE, 2010)
    This brief presents a new structure of active inductors. These synthetic inductors are designed using current controlled voltage sources. The signal flow graph method is used for this purpose. For the practical realization, ...
  • On becoming a mathematician 
    Petocz Peter; Wood Leigh; Smith Geoff; Reid Anna (ICME 2004, 2004)
    In this paper, we report on our investigations of mathematics students' ideas about working as professionals in the mathematical sciences, and the impact that these ideas have on their learning of mathematics. Our ...
  • On Certain Polynomials of Even Subscripted Lucas Numbers 
    Melham Ray (Kluwer Academic Publishers, 1999)
  • Photonic bandgap effects as a basis for novel compact devices 
    White Tom; Mcphedran Ross; De Sterke C; Asatryan Ara; Langtry Timothy; Botten Lindsay (COIN/ACOFT 2003, 2003)
    Photonic crystals offer the opportunity to design ultra-compact optical devices. Here we consider the "folded directional coupler," which combines elements of a directional coupler and a Fabry-Perot interferometer. This ...
  • Photonic Bandgaps in Woodpile Structures 
    Smith Geoff; Botten Lindsay; Mcphedran Ross; Nicorovici Nicolae (Australian Institute of Physics, 2002)
    Three-dimensional photonic band gap structures are the ultimate goal for photonic crystals as, unlike one and two-dimensional crystals, they provide for total confinement. One such configuration is the woodpile structure, ...
  • Photonic crystal based Mach-Zehnder interferometer 
    White Tom; De Sterke C; Mcphedran Ross; Botten Lindsay; Huang Tom (Australian National University, 2004)
  • Pick-up and delivery with time windows and due dates 
    Neame Philip; Carmody Georgina (University of Ballarat, 2004)
    We consider a variant on a pick-up and delivery problem with time windows, where both early and late delivery of items is penalized. This problem arises from an application in the area of defence, but has wider applications ...
  • Preemptive scheduling on parallel processors with due dates 
    Zinder Yakov; Singh Gaurav (Japan Society of Mechanical Engineers, 2004)
    A priority algorithm is presented for the maximum lateness problem with parallel identical processors, precedence constraints, and preemptions. The algorithm calculates a task's priority by constructing a schedule for ...
  • Pricing and hedging for incomplete jump diffusion benchmark models 
    Platen Eckhard (American Mathematical Society, 2004)
    This paper considers a class of incomplete financial market models with security price processes that exhibit intensity based jumps. The benchmark or numeraire is chosen to be the growth optimal portfolio. Portfolio ...
  • Pricing European and discretely monitored exotic options under the Levy process framework 
    Roberts Dale; Novikov Alex (Wolfram Research, 2005)
    We shall consider both European and discretely monitored Exotic options (Bermudan and Discrete Barrier) in a market where the underlying asset follows a Geometric Levy process. First we shall briefly introduce this ...