Description

Mathematics reaches into almost every area of science and engineering. Applied Mathematics involves applications of mathematics to real-world problems arose from various applications or disciplines. Mathematical methods in understanding and solving challenging problems are valued increasingly. It opens many paths with interesting topics and areas for applied mathematicians. The applied mathematics research group of SLTC is working on problems at the interface with physical sciences, biological sciences, and engineering. The solutions of these problems require knowledge of various branches of mathematics such as analysis, differential equations, linear algebra, differential geometry and stochastic together with analytical and numerical methods. Our members are working across disciplines and aim to understand mathematical concepts and techniques used to analyze, explain, or predict information as well as develop new mathematical and computational methods.

Research Areas

• Numerical Modeling and Simulation: developing and applying novel numerical methods and solvers to study the behavior of systems.
• Mathematical Biology: studying mathematical models and abstractions of the living organisms to investigate the structure, development, and behavior of the system.
• Applied Statistics: evaluating and applying mathematical and statistical methods to design, analyze, and interpret data for studies in engineering and finance.

Research Grants and Projects

• Responsive Research Seed Grants, School of Postgraduate Studies and Research, Sri Lanka Technological Campus, Sri Lanka. Project: RRSG/19/4004 – Mathematical Modeling, Dr. Mihiri De Silva and Dr. Chandani Dissanayake

External Research Collaborations

• Dr. Hemalika Abeysundara – University of Peradeniya

Publications

1. Chandani Dissanayake, Lourdes Juan, Kevin R. Long, Angela Peace, Md Masud Rana, “Genotypic Selection in Spatially Heterogeneous Producer-Grazer Systems Subject to Stoichiometric Constraints”, Bulletin of Mathematical Biology (2019) (https://doi.org/10.1007/s11538-018-00559-9).
2. Md Masud Rana, Chandani Dissanayake, Lourdes Juan, Kevin R. Long, Angela Peace. Mechanistically derived spatially heterogeneous producer-grazer model subject to stoichiometric constraints. Mathematical Biosciences and Engineering, 2019, 16(1): 222-233 (doi: 10.3934/mbe.2019012).
3. T. M. M. De Silva, S.R.J. Jang, “Permanence and Stability in a Larch Budmoth Population Model”, Far East Journal of Applied Mathematics, Vol. 102, No.1: 9-18, 2019.
4. S.S.K.Karunarathna, T.M.M.De Silva, C.Ranawaka, Stochastic Modelling of Population Interaction, PGIS research congress, University of Peradeniya, Submitted.
5. Mihiri De Silva, S.R.J. Jang, “Permanence and Stability in a Larch Budmoth Population Model”, Far East Journal of Applied Mathematics, Vol. 102, No.1: 9-18, 2019.

Peoples

Principal Investigator

Faculty

Researchers and Postgraduate Students