Doctor of Philosophy (PhD)(Mathematics)

Ph. D. in Mathematics, Faculty of Science (FOS), is a programme that fosters pure and applied research in different branches of Mathematics. The Mathematics Group offers postgraduate research opportunities in a number of areas of Pure and Applied Mathematics, Statistics, Operations Research and Financial Mathematics. A particular focus initiative of the Group is the recently-established Mathematical Modelling and Simulation Cluster, which aims to pursue research in areas such as mathematical epidemiology, inventory analysis, hydrology, crop production and the properties of nanoparticles. One important resource available to the Modelling and Simulation Cluster is UBD’s BlueGene supercomputer, which is currently the only supercomputer in South East Asia. The Programme is designed for qualified individuals, who wish to acquire advanced knowledge, as well as analytical and research skills in Pure and Applied Mathematics. Students interested in starting a Masters or Doctoral degree in Mathematics at UBD should in the first instance contact one or more of the staff members, and liaise with them to design a suitable research project.

Programme Details

Aims and Scope
The PhD Programme in Mathematics aims to make researchers and scientists with high level specialised skills in order to cope with the increased demands of governments, industries, banks, hospitals etc. The scope of the Programme is to provide students the necessary specific scientific information, as well as to train them to develop their skills and analytical capabilities.

Structure
Students conduct research on an approved research topic, under the supervision of one or more staff members. Upon completion of their research, they submit a Thesis, which normally does not exceed 100,000 words.

Assessment
Assessment includes examination of the Thesis by internal and external examiners. As stipulated in the relevant UBD regulations the examiners may subject a candidate to an oral examination or any other test they think necessary to assess the acceptability of the Thesis. Periodic assessment of the progress of the candidate is carried out as stipulated in the relevant UBD regulations.


Areas of Research/ Specialisation

  • Operator theory, Integral equations, Approximation of pseudo-differential operators, Wavelets
  • Locally convex cones,Linear approximation, Integral representations, Choquet theory
  • Numerical Analysis: Spline functions on triangulations, Refinable stable local spline basis functions, Macro-element Riesz bases
  • Functional differential equations, and Impulsive differential equations
  • Stability and oscillations in dynamical systems, Computer (or numerical) simulations of differential equations
  • Mathematical models of neural networks, population dynamics, epidemics, etc.
  • Characterization of probability models, Bivariate statistical analysis, Parametric Estimation
  • Mathematical physics and cosmology, Petrophysics modelling, Differential geometry, Population dynamics and epidemiology
  • Modelling and simulation, High performance computing
  • Stochastic volatility, Study of Brunei’s healthcare insurance claims
  • Numerical solutions of partial differential equation involving options
  • Time series models, Long-ranged dependence stochastic processes
  • Extension of Markowitz’s portfolio optimisation method
  • Dynamical systems and chaos, Mathematical modelling: medicine, ecology, epidemiology, Bifurcation Theory, Numerical computation
  • Renewable/Solar energy technology, Approximant methods
  • Health and medical statistics, Applied statistics, Goodness-of-fit tests; Biostatistics, Survival analysis, Longitudinal data analysis
  • Mathematical modelling of air quality and pollution, atmospheric transport, population and traffic flows
  • Functional differential equations, Impulsive differential/difference equations
  • Computational fluid dynamics (CFD), Modelling and simulation of the application of nanofluids on heat transfer problems
  • Production and inventory control, Supply chain management, Transportation and logistics, Optimization and heuristic techniques
  • Road Safety and driving behavior, Intelligent traffic system


For more information

Contact:   Programme Leader in Mathematical & Computing Sciences (Dr Haji Abdul Ghani Haji Naim), Graduate and Research, FOS, UBD

Complete programme details can also be found here .



Faculty Member and Contact Details

Research Interests

Professor Dr. Victor Didenko
nb.ude.dbu@oknedid.rotciv

Operator theory
Integral equations
Approximation of pseudo-differential operators
Wavelets

AP Dr. Sannay Mohamad
nb.ude.dbu@damahom.yannas

Functional differential equations.
Impulsive differential/difference equations.
Stability and oscillations in dynamical systems.
Mathematical models of neural networks, population dynamics, epidemics, etc.
Computer (or numerical) simulations of differential equations, functional differential equations, and impulsive differential equations.

Dr. Malcolm Anderson
nb.ude.dbu@nosredna.mloclam

Mathematical physics and cosmology
Petrophysics modelling
Differential geometry
Population dynamics and epidemiology

Dr. Saiful Azmi Hj Husain
nb.ude.dbu@niasuh.lufias

Modelling and simulation.
High performance computing.

Dr. Abby Tan Chee Hong
Dean of FOS
nb.ude.dbu@nat.ybba

Stochastic volatility, interest rate and their implications on option prices large claims and factors contributing to it.
Study of Brunei’s healthcare insurance claims, particularly large claims and factors contributing to it.
Numerical solutions of partial differential equation involving options.
Time series models.
Long-ranged dependence stochastic processes.
Extension of Markowitz’s portfolio optimisation method.

Dr. Norhayati Hamzah
nb.ude.dbu@hazmah.itayah

Dynamical systems and chaos
Mathematical modelling : medicine, ecology, epidemiology
Bifurcation Theory
Numerical computation

Dr. Yeo Wee Ping
nb.ude.dbu@oey.gnipeew

Numerical Analysis: Spline functions on triangulations
Refinable stable local spline basis functions
Macro-element Riesz bases

Dr. Md Mustafizur Rahman
nb.ude.dbu@namhar.ruzifatsum

Computational fluid dynamics (CFD),
Modelling and simulation of the application of nanofluids on heat transfer problems.
Renewable/Solar energy technology (modeling, simulation & socio-economic issues)
 Approximant methods

Dr. Elvynna Leong Md Dennis Leong
nb.ude.dbu@gnoel.annyvle

Biostatistics
Survival Analysis
Longitudinal Data Analysis

Dr. Yong Shiaw Yin
nb.ude.dbu@gnoy.niywaihs


Road Safety and driving behaviour .
Intelligent traffic system

Dyg Hasnah Hj Hassan
nb.ude.dbu@nassah.hansah

Mathematical modelling of air quality, air pollution,
atmospheric transport, population and traffic flows.
Operations research.
Environmental issues: Climate change, air pollution and energy.