Education

• Ph.D Mathematics, IIT, Madras
• M.Sc Mathematics, College of Engineering, Anna University, Chennai
• B.Sc Mathematics, D.G.Vaishnav College, Arumbakkam, Chennai

Course Offered

 M.Tech (Machine Learning and Computing)

MA617 Numerical Linear Algebra (3 Credits)

B.Tech (Aerospace, Avionics, Engineering Physics)

MA111 Calculus (4 credits)

MA122 Computer Programming and applications (3 credits)

MA211 Linear Algebra, Complex analysis and Fourier series (3 credits)

MA221 Partial differential equations, Calculus of Variations (3 credits)

Experience

• Postdoctoral fellow, Dipartimento di Meccanica, Universita degli studi di cassino, Italy (Jan 2008-May 2008).
• Visiting fellow, Institute of Mathematical Sciences, Chennai (June 2008-May 2009)

Teaching Experience:

Reader, Indian Institute of Space Science and Technology, Thiruvananthapuram  (May 2009 – Feb 2011)

Assistant Professor, Indian Institute of Space Science and Technology, Thiruvananthapuram (March 2011 – June 2017)

Research Work / Area

Virtual element methods for nonlinear problems.

Stabilization of convection diffusion reaction equations.

Developing preconditioner for Algebraic multgrid methods.

Last Five years from 2020 onwards

Journals

M. Arrutselvi, E. Natarajan, S. Natarajan, Numerical solution of nonlinear convection-diffusion-reaction equation using a stabilized virtual element method, Computers and Mathematics with Applications (2025), 183, 46-70. (Q1 Journal)

S. Mishra, E. Natarajan, A unified local projection-based stabilized virtual element method for the coupled Stokes-Darcy problem, Advances in Computational Mathematics (2024), 50(6):106. (Q1 Journal)

S. Mishra, E. Natarajan, Local projection stabilization virtual element method for the convection-diffusion equation with nonlinear reaction term, Computers and Mathematics with Applications, (2023), 152,181-198.  (Q1 Journal)       

S. Mishra, E. Natarajan, A streamline-based local projection stabilization virtual element method for nonlinear convection-diffusion-reaction equation, Calcolo (2023), 60(4), 46. (Q2 Journal)

M. Arrutselvi, E. Natarajan, Virtual element stabilization for the system of time dependent nonlinear convection-diffusion-reaction equations, Computers and Mathematics with applications (2023), 142, 121-139.  (Q1 Journal)

P. Saikrishnan, A. Sahaya Jenifer, E. Natarajan, Unsteady Magnetohydrodynamic Mixed Convection Flow over a Rotating Sphere with Sinusoidal Mass Transfer, Journal of Heat and Mass Transfer Research (2022), 9:2, 129-140. (Scopus indexed)

M. Arrutselvi, E. Natarajan, S. Natarajan, Virtual element method for the quasilinear convection-diffusion-reaction equation on polygonal meshes, Advances in Computational Mathematics (2022), 48:78, 1-45. (Q1 Journal)

M. Arrutselvi, D. Adak, E. Natarajan, S. Roy, S. Natarajan, Virtual Element Analysis of Nonlocal Coupled Parabolic Problems on Polygonal
Meshes, Calcolo (2022), 59:18, 1-34. (Q2 Journal)

M. Arrutselvi, E. Natarajan, Virtual element method for nonlinear convection–diffusion–reaction equation on
polygonal meshes, International Journal of Computer Mathematics, (2021), Volume 98, Issue 9, 1852-1876. (Q2 Journal)

Conference paper

M. Arrutselvi, E. Natarajan, Virtual element stabilization of convection-diffusion equation with shock capturing,
 IOP Journal of Physics: Conf. Ser. (2021), Volume 1850, 1-12. (Scopus indexed)

Book chapter "On the Implementation of Virtual Element Method for Nonlinear Problems over Polygonal Meshes" published in the book titled "The Virtual Element Method and its Applications" - 2022

Ongoing

(1) Mr. Sudheer Mishra joined in 2020.

(2) Ms. Aparna joined in 2024.

Completed

(3) Mr. Dibyendu Adak completed in 2018.

Thesis title: Virtual Element Method for Time Dependent Problems on Polygonal Meshes.

(4) Ms. M. Arrutselvi completed in 2022.

Thesis title: Stabilized Virtual Element Method for the nonlinear convection-diffusion problems.

Ongoing

Project titled: Variational multiscale stabilization for the incompressibe Navier-Stokes equation

Cost: 6.6 lakhs

Period: 2024-2026

Funded by DST-SERB

Completed

 Project titled: Algebraic Multigrid method for sparse solvers

 Cost: 5.07 Lakhs

 Period : 2016-2018

 Funded by Vikram Sarabhai Space Centre, Trivandrum

Courses

August 2022 - December 2022

B. Tech (Aerospace, ECE, Engineering physics)

MA 112V - Computer Programming and Applications (4 credits)

MA 311 - Numerical Methods (3 credits)

M. Tech (Machine Learning and Computing)

MA 617 - Numerical linear algebra (3 credits)

Ph.D (Common Course)

MA 811 - Research Methodology-I (3 credits)

(Coordinator - 2022)

Computers and Mathematics with Applications (Elsevier)

Applied Numerical Mathematics (Elsevier)

Computational and Applied Mathematics (Elsevier)

Mathematical Methods in Applied Sciences (Wiley)

Proceedings of the National Academy of Sciences: Section A, Physical Sciences (Springer)