Applied Mathematics

Mathematics

Working with numbers

The Applied Mathematics research group specialises in applied mathematics, mathematical inequalities, networked control systems, and approximation and bounds in economics, and general applications across the engineering and science disciplines.

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Areas of research

Finding solutions

Finding solutions

Our main focus is on interdisciplinary research and application of mathematics, statistics and operational research for solving problems. This includes:

  • complex dynamical systems modelling
  • analysis and design of control and filtering
  • mathematical inequalities and their applications in numerical analysis
  • information theory & coding
  • population dynamics
  • special functions theory and probability and statistics.

Research projects

Abstract numbers

Abstract numbers

  • Networked control systems with large time-delay interval.
  • Accurate numerical approximations and bounds in economics, statistics and general applications across the Engineering and Science disciplines.
  • State filtering and parameter identification for nonlinear polynomial systems.
  • Approximation and bounds in a variety of areas including risk/ruin problems, actuarial science and populations.

Our research group has projects linked with:

  • Logistics and Supply Chain Management Industries
  • National ICT Australia on Margin Statistics of High Throughput Sequencing (AMSI Industry Internship Program)

Our researchers

Staff
Name Phone and email
Professor Silvestru Dragomir
Leader
+61 3 9919 4437
sever.dragomir@vu.edu.au
Professor Peng Shi
Deputy Leader
+61 3 9919 6273
peng.shi@vu.edu.au
Associate Professor Neil Diamond +61 3 9919 9302
neil.diamond@vu.edu.au
Anthony Doggett +61 3 9919 4689
anthony.doggett@vu.edu.au
Ian Gomm +61 3 9919 4497
ian.gomm@vu.edu.au
Dr Fuchun Huang +61 3 9919 4431
fuchun.huang@vu.edu.au
Dr Lutfar Khan +61 3 9919 4687
lutfar.khan@vu.edu.au
Dr Alasdair McAndrew +61 3 9919 4344
alasdair.mcandrew@vu.edu.au
Associate Professor Anthony Sofo +61 3 9919 4869
anthony.sofo@vu.edu.au
Dr Gabriele Sorrentino +61 3 9919 5227
gabriele.sorrentino@vu.edu.au
Dr Jakub Szajman +61 3 9919 4286
jakub.szajman@vu.edu.au
Donald Watson +61 3 9919 4825
don.watson@vu.edu.au
External Collaborators  
Dr Eder Kikianty University of the Witwatersrand
Johannesburg, South Africa
Professor Pietro Cerone Honorary Professor
LaTrobe University
p.cerone@latrobe.edu.au
Dr Neil Barnett +61 3 9919 4693
neil.barnett@vu.edu.au

Our research students

Research undertaken by our current postgraduate students.

Student Thesis title
Adam Voak Ethics and Social Responsibility in the Diploma of Logistics: A Case Study of Vocational Logistics Education
Aida Ghalebeigi Demand Uncertainty in the Australian Perishable Food Supply Chain: Developing an Option Contract Strategy
Alawiah Ibrahim Some Inequalities Concerning Power Series and Their Interaction with Univalent Functions Theory
Andrew Downard Measuring and Predicting Supply Chain Dyadic Relationship Success
Matteo (Matthew) Donato Can the implementation of 4PL theory within Melbourne's earth-moving industry enhance 'just in time' delivery capabilities.
Vijayakumar Sangam Strategic Outsourcing of Supply Chain: The India Model
Zamri Zaidi Moin Impact of Dominant Player in the Supply Chain Management Practices in Australia: Its Effect to the Competitiveness Level Among Participants

We also pride ourselves with recent postgraduate completions of our research students.

Student Thesis title
Dr George Hanna Cubature Rules From A Generalized Taylor Perspective
Dr Gabriele Sorrentino Option Pricing in a Path Integral Framework
Dr Eder Kikianty Hermite-Hadamard Inequality in the Geometry of Banach Spaces
Dr Carsten Sengpiehl Towards the development of a holistic planning framework for a Logistics City-Cluster: A multinational modified Delphi Study

Contact us

Professor Silvestru Dragomir
Group Leader, Applied Mathematics Research Group
Phone: +61 3 9919 4437
Email: sever.dragomir@vu.edu.au

Professor Peng Shi
Deputy Group Leader
Phone: +61 3 9919 6273
Email: peng.shi@vu.edu.au