• Parameter-Uniform Numerical Method for a Two-Dimensional Singularly Perturbed Convection-Reaction-Diffusion Problem with Interior and Boundary Layers. Mathematics and Computers in Simulation. 187: 656-686 pp, 2021. ISSN = 0378-4754, DOI:10.1016/j.matcom.2021.03.016, URL (With S.C.S. Rao).

• Pointwise Error Estimates for a System of Two Singularly Perturbed Time-Dependent Semilinear Reaction-Diffusion Equations. Mathematical Methods in Applied Sciences. 44:13287–13325pp, 2021. ISSN = 0170-4214, DOI:10.1002/mma.7626, URL (With S.C.S Rao).

• Numerical Analysis for a Class of Coupled System of Singularly Perturbed Time-Dependent Convection-Diffusion Equations with a Discontinuous Source Term. Numerical Methods for Partial Differential Equations. 38:1437-1467pp, 2021. ISSN = 1098-2426, DOI:10.1002/num.22845, URL (With S.C.S. Rao and S. Chawla).

• Analysis and Implementation of a Computational Technique for a Coupled System of Two Singularly Perturbed Parabolic Semilinear Reaction-Diffusion Equations having Discontinuous Source Terms. Communications in Nonlinear Science and Numerical Simulation. 108, 106232:34pp, 2022. ISSN = 1007-5704, DOI:10.1016/j.cnsns.2021.106232, URL (With S.C.S. Rao).

• Analysis of an Almost Fourth-Order Parameter-Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Reaction-Diffusion System with Non-Smooth Source Term. Applied Mathematics and Computation. 421, 126944:26pp, 2022. ISSN = 0096-3003, DOI:10.1016/j.amc.2022.126944, URL (With S.C.S. Rao).

• Analysis of an LDG-FEM for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers. Applied Numerical Mathematics. 190:84-109pp, 2023. DOI: 10.1016/j.apnum.2023.04.016, URL (With S.C.S. Rao).

• Analysis of a numerical technique for a singularly perturbed parabolic convection-diffusion interface problem with time delay, Journal of Difference Equations and Applications. 29, 8:814-845pp, 2023, DOI: 10.1080/10236198.2023.2256419, URL  (With S.C.S. Rao).

• Global Uniform Convergence for a Weakly Coupled System of Singularly Perturbed Convection-Diffusion Problems. Differential Equations and Applications. Springer Proc. Math. Stat. Springer, Singapore. 368:17-28pp, 2021. DOI:10.1007/978-981-16-7546-1_2,  URL (With S.C.S. Rao and V. Srivastava).

• Convergence Analysis of a Layer Resolving Numerical Technique for a Class of Coupled System of Singularly Perturbed Parabolic Convection-Diffusion Equations Having an Interface. Frontiers in Industrial and Applied Mathematics. Springer Proc. Math. Stat., Springer, Singapore. 410:277–296pp, 2023. DOI: 10.1007/978-981-19-7272-0_20, URL (With S.C.S. Rao).

• Jan 2015 - May 2018, Teaching Assistant, Department of Mathematics, IIT Delhi, New Delhi. 
  • MTL509: Numerical Analysis
  • MTL505: Computer Programming
  • MTL504: Ordinary Differential Equations
  • MTL100: Calculus
  • MTL 101: Linear Algebra
  • MTL508: Mathematical  Programming
  • MTL712: Computational Methods for Differential Equations.

• March 2023 - June 2023, Course Instructor, Department of Mathematics, NIT Calicut, Kerala. 
  • MA1002D: Mathematics - II.

• Numerical Analysis   • Numerical Analysis of Ordinary and Partial Differential Equations    • Numerical Analysis of Singularly Perturbed Differential/Delay-Differential Equations    • Finite Difference Methods    • Finite Element Methods    • Scientific Computing

• Senior Research Fellow at IIT Delhi from January 2016 - October 2021.
• Junior Research Fellow at IIT Delhi from January 2014 - December 2015.
• Qualified GATE - 2014 conducted jointly by IITs and IISc.
• Qualified JRF conducted by UGC - CSIR in June 2013.

• Presented a paper titled Parameters-uniform convergence analysis of a numerical technique for a coupled system of  m(>=2) singularly perturbed parabolic semilinear reaction-diffusion equations having interior and boundary layers in "International Conference on Dynamical Systems, Control Theory & their Applications'' held at Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India, July 1 - July 3, 2022.
• Presented a paper titled Convergence analysis of a layer resolving numerical technique for a class of coupled system of singularly perturbed parabolic convection-diffusion equations having an interface in "Forum for Industrial and Applied Mathematics'' the 4th International Conference on Frontiers in Industrial and Applied Mathematics held at SLIET Longowal Punjab, India, December 21 - December 22, 2021.
• Presented a paper titled Global Uniform Convergence for a Weakly Coupled System of Singularly Perturbed Convection-Diffusion Problems in "International Conference on Application of Basic Sciences'' held at Bishop Heber College, Tiruchirappalli, Tamil Nadu, India, November 19 - November 21, 2019.
• Presented a paper titled Global Uniform Convergence for a Weakly Coupled System of Singularly Perturbed Convection-Diffusion Problems in "International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM)'' held at Department of Applied Mathematics, Delhi Technological University, Delhi, India, October 23 - October 25, 2018.

• "International Conference on Dynamical Systems, Control Theory & their Applications'' held at Department of Mathematics, Indian Institute of Technology Roorkee, Uttarakhand, India, July 1 - July 3, 2022.
• "Forum for Industrial and Applied Mathematics'' the 4th International Conference on Frontiers in Industrial and Applied Mathematics held at SLIET Longowal Punjab, India, December 21 - December 22, 2021.
• "International Conference on Application of Basic Sciences'' held at Bishop Heber College, Tiruchirappalli, Tamil Nadu, India, November 19 - November 21, 2019.
• A course on "Computational Methods for Integral and Differential Equations'' held at, Department of Mathematical Sciences, Indian Institute of Technology BHU, Varanasi, Uttar Pradesh, India, December 10 - December 16, 2018.
• "International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM)'' held at Department of Applied Mathematics, Delhi Technological University, Delhi, India, October 23 - October 25, 2018.
• A course on "Isogeometric Methods using B-Splines and Nurbs'' held at Department of Mathematical Sciences, Indian Institute of Technology BHU, Varanasi, Uttar Pradesh, India, December 16 - December 20, 2017.
• A course on "Theory and Computation of Singularly Perturbed Differential Equations'' held at Department of Mathematical Sciences, Indian Institute of Technology BHU, Varanasi, Uttar Pradesh, India, December 4 - December 8, 2017.
• Advanced level workshop on "Singularly Perturbed Partial Differential Equations (SPDDEs): Theory, Computation and Application'' held at Department of Mathematics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India, March 24 - March 28, 2016.
• CIMPA research school "Summer School on Current Research in Finite element Methods'' held at Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, Maharastra, India, July 6 - July 17, 2015.
• Pre-school for CIMPA research school "Summer School on Current Research in Finite element Methods'' held at Department of Mathematics, Indian Institute of Technology Bombay, Mumbai, Maharastra, India, June 24 - July 4, 2015.
• Advanced workshop on "Finite Difference Methods for Differential Equations'' held at Department of Mathematics, South Asian University New Delhi, Delhi, India, March 13 - March 17, 2015.
• Advanced level training program on differential equations under the auspices of  ''National Program on Differential Equations: Theory, Computation and Applications (NPDE-TCA)'' held at Indian Institute of Science Education and Research, Thiruvananthapuram, Kerala, India, May 26 - June 13, 2014.
• Workshop on "Orthogonal Spline Collocation Methods for PDEs'' held at Department of Mathematics, South Asian University New Delhi, Delhi, India, March 21 - March 24, 2014.
• Postgraduate level training program  under the auspices of ''National Program on Differential Equations: Theory, Computation and Applications (NPDE-TCA)'' held at Indian Institute of Technology Delhi, Delhi, India, May 14 - June 2, 2012.

Syllabus, Course Plan, Lec_Notes1, Lec_Notes, Tutorials: Tutorial 1, Tutorial 2, Tutorial 3, Tutorial 4, Tutorial 5, Tutorial 6

Syllabus, Course Plan, Tutorials: T1, T2, T3, T4, T5, T6, T7, T8, T9, T10, Assignment

Syllabus, Course Plan, Lec. Notes till 13-09-2023, Lec. Notes After Mid-Sem till 15-11-2023, Tutorials: T1, T2, T3, T4, T5

Syllabus, Course Plan

Syllabus, Course Plan, Lec Notes, DE_Notes, Online_Classes_Notes, Tutorial 1, Tutorial_2, Tutorial_3, Tutorial_4, Tutorial_5, Tutorial_6