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Staff members of the department are actively engaged in research and consultancy in the following areas of mathematics and statistics.
1. Control Theory, Optimization and Computational Mathematics
1. Staff
M. Al-Baali; M.S. Boudellioua; B. Chentouf; S. Karaa; S. Kerbal; K. Nafa
2. Aims and scope
The department has active research groups and individuals with vast expertise in Control Theory, Optimization, and Numerical Analysis. The research areas of interest include applied Optimization Methods for Nonlinear Programming; Numerical Analysis; Domain Decomposition Methods; Multidimensional Systems Theory; Optimal Control; Numerical Analysis
2. Dynamical Systems and Differential Equations
1. Staff
B. Anchouche, E. Balakrishnan; L. Benkherouf; M. Ben Rhouma; M. Boulbrachene; V. Covachev; B. Gilding; S. Kerbal; S. I. Zaman; M. Ziad;
2.Aims and scope
The group and individuals undertake research in Dynamical Systems and Ordinary and Partial Differential Equations with Applications. The research areas of interest include Degenerate Second-Order Parabolic and Hyperbolic Differential Equations; Nonlinear Hyperbolic and Impulsive Differential Equations with time delays; Rational Difference Equations; Boundary Integral Equations; Boundary Element Methods; Variational Inequalities; Quasi-variational inequalities; Pattern Recognition; Differential Geometry and General Relativity; Algebraic Geometry;
3. Mathematical Modeling
1. Staff
H.H. Al-Barwani; M.A. Al-Lawati; L. Aggoun; E. Balakrishnan; P. Chandran; T. El-Bashir; I.A. Eltayeb; Q.J.A. Khan; E.V. Krishnan; A. Purnama; N.C. Sacheti
2. Aims and scope
The department has active research groups and individuals for Mathematical Modeling in Physical, Biological and Medical Sciences; of Environmental and Geophysical problems; and of Fluid Flow in Engineering and Industrial problems.
The groups undertake theoretical research as well as computer simulations amenable to quantitative description and solution. The research areas of interest include Epidemiological Models of Infectious Diseases; Prey-Predator Population Growth Models; Non-Newtonian Flows, Rheological Flows; Multi-Phase Flows; Viscous Flows; Pulsatile Flows; Computational Fluid Mechanics; Nonlinear Waves; Desertification; Evolution of Sand Dunes; Sand Movement; Sediment Transport; Combustion; Pollutant Transport; Sea Outfalls Discharge; Magnetohydrodynamics, Gas-Dynamics; Rotating Fluids; Flows between Squeezed Films; Stability of Compositional Plumes;
4. Simulation, Scientific Computing and Software Development
1. Staff
H.H. Al-Barwani; M.A. Al-Lawati; M. Al-Baali; A.S.S Dorvlo; S. Karaa
2. Aims and scope
The department has active research groups and individuals in Computational Mathematics for Engineering and Industrial problems, and development of software. Simulating Propagation of Fronts such as Crystal Growth; Surface Erosion and Deposition; Flame Propagation; Bio-heat Transfer in Human Skins
5. Algebra and Discrete Mathematics
1. Staff
M. Ali; B. Anchouche; T. Bier, M. Boudellioua; M. Rakha; S. Veldsman; A. Umar, I. Zaguia
2. Aims and scope
To maintain and develop research expertise in a number of selected sections of algebra, number theory, graph theory, and algebraic geometry. Often, staff members work separately or in informal groups on these topics but in collaboration with researchers from universities overseas. Results are published in recognized journals and presented at international conferences.
6. Analysis
1. Staff
A. Al-Soodinay; S. Gupta; A. Kamal; M. S. Khan; S. Makhmutov; A. Maouche; J. M. Singh; Z. Szabo
2. Aims and scope
To maintain and develop research expertise in a number of selected sections of Analysis, such as Complex Analysis, Functional Analysis, Real Analysis, Banach Algebra, Approximation Theory, Measure Theory, and Topology. Staff work jointly sometimes in informal groups of two or three, and individually in other times on these topics, and also in collaboration with researchers from universities and other research centers overseas. The results of the works are published in recognized journals and presented at international conferences.
7. Differential Geometry and related fields
1. Staff
M. Ziad
2. Aims and scope
To maintain and develop research expertise in a number of selected sections of differential geometry, general relativity and on applications of Lie group theory to ordinary and partial differential equations. It is hoped that a group of researchers would be established in these highly important areas in mathematics by initiating these fields at DOMAS.
8. Applied Statistics and Data Analysis
1. Staff
K.M. Abdelbasit; M.I. Ahmed; M.S. Ahmed; A. Benmerzouga; C.S. Bakheit; A.S.S Dorvlo
2. Aims and scope
The group is engaged in research in both the theory and practical aspects of applied statistics and data analysis. The group has amassed wide experience in the application of statistics and forms the core of statistical consultancy service in the University. Collaborative research is undertaken with researchers from within and outside Sultan Qaboos University spanning many areas of applications including biology, health and medical care, environmental issues, engineering, agricultural problems and economics problems. The group is also engaged in consultancy services, workshops and customized short courses.
9. Design and Analysis of Sample Surveys and Scientific Experiments
1. Staff:
K.M. Abdelbasit; M.S. Ahmed; A. Benmerzouga; A.S.S. Dorvlo
2. Aims and scope
Design and analysis of sample surveys are among the most widely used tools in government and the private sectors. A sample survey properly conducted, with an optimal survey design, can supply information of sufficient accuracy with minimum cost. Researchers in the department work on both theoretical and practical applications of sampling and sample surveys. Experimenters investigating effects of a number of factors on a response of interest, generally have some degree of control over levels of these factors during experimentation. Optimal setting of these factors is the subjects of research in this area. Research areas include experimental designs for nonlinear models and generalized linear models with special emphasis on binary data, Bootstrap methods.
10. Industrial Statistics
1. Staff
M.I. Ahmed; M.S. Ahmed; A. Amir; A. Benmerzouga
2. Aims and scope
Research interests in this area include developing confidence bands for low dose risk estimation and studies of insurance risk theory. Some members of the group also carry out research in reliability and maintenance problems such as optimal group repair and replacement policies for machines that are operating in parallel.
11. Stochastic Modeling and Operations Research
1. Staff
L. Aggoun; A. Benmerzouga; C.S. Bakheit
2. Aims and scope
Modeling real life systems subject to uncertainty is the general area of interest. Attempts to understand how such systems evolve are generally made through the use of a stochastic model or a stochastic differential equation. Queuing theory and game theory are also used for studying such systems. Research is carried out in both the theory and applications of stochastic processes.
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