Research & Teaching
My academic background in mathematics is the foundation of my engineering practice.
Research Focus
SpecializationNumerical Analysis, Computational Mathematics, High-Accuracy Numerical Methods
Related InterestsData Science, Machine Learning, Financial Mathematics, Computational Fluid Dynamics
PhD Thesis"High Accuracy Compact Numerical Methods for Nonlinear Biharmonic Problems of First Kind"
AdvisorProf. Ranjan Kumar Mohanty
Publications
2019
A class of numerical methods for the solution of fourth-order nonlinear ordinary differential equations on a graded mesh with boundary conditions of first kind
Mohanty, R.K. & Sarwer, M.H.
International Journal for Computational Methods in Engineering Science and Mechanics, 20:5, 434–450
View Publication →2016
A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions
Mohanty, R.K., Sarwer, M.H. & Setia, N.
Advances in Differential Equations, 2016:248
Teaching Experience
College of Aviation Technology, National University
2022 – Present- Mathematics I–V (Aeronautical & Aviation Science)
South Asian University, New Delhi
2013 – 2019- Numerical Analysis and Methods
- Numerics of Partial Differential Equations
- Computational Fluid Dynamics
Monash University, Melbourne (Remote TA)
2019 – 2022- Computational Linear Algebra
- Introduction to Computational Mathematics
- Mathematical Modeling
Why This Matters for Engineering
A mathematics PhD isn't just a credential — it's a way of thinking. It means I can design algorithms from first principles, reason about computational complexity and performance trade-offs, model real-world problems mathematically before writing code, communicate technical concepts clearly to diverse audiences, and approach debugging and optimization with analytical rigor.