Research Interests:

• Numerical schemes for Hyperbolic Conservation Laws 

• Nonlocal conservation laws

• Finite Difference and Finite Volume methods

• Hamilton-Jacobi equations

• Nonlinear Degenerate Parabolic Equations

• Weighted Essentially Non-Oscillatory schemes

• Compact schemes and Hybrid schemes

• Numerical approximations and Integrations 

Projects:

1. Title of the project: Design and Development of Numerical Schemes for Hyperbolic Systems of Conservation Laws

    Sponsoring agency: NBHM, DAE

    Total budget: Rs. 16,20,400.00/-

    Project duration: 3 years (Dec, 2021-Dec, 2024)

2. Title of the project: Design and Analysis of Numerical Techniques for Hyperbolic Systems of Conservation Laws

    Sponsoring agency: IRG, IIPE Visakhapatnam 

    Total budget: Rs. 5,85,000.00/-

    Project  duration: 3 years (June, 2021-June, 2024)

Workshop/conference participation:

• Participated in "National Conference on Computational Mathematics" held at NIT Puducherry, Karaikal, 22-23 Dec, 2022.

• Participated in ICERM workshop on Holistic Design of Time-Dependent PDE discretizations, Jan 10-14, 2022

• Participated in ICERM workshop on Advances and challenges in Hyperbolic Conservation Laws, May 17-21, 2021

• Participated in a symposium titled "Symposium on Conservation Laws and Related Topics" held on 31st July 2020 in honor of Prof. G.D. Veerappa Gowda, conducted by TIFR-CAM, Bangalore, India.

• Participated in five-day FDP on topic titled "Introduction to Machine Learning using Python" held from 11th-12th and 18th-20th July 2020 conducted by Soft Computing Research Society, New Delhi, India.

• Participated in Diamond Jubilee Symposium, Department of Mathematics-2019 organized by Department of Mathematics,  IIT Bombay (04 Jan 2019-06 Jan 2019).

• Participated in Symposium on Mathematics and its Applications (Dec 22-2017) organized by Department of Mathematics,  VNIT, Nagpur.

• Attended a workshop on "Numerical Techniques for Partial Differential Equations (10th July-14th July 2017)" organized by Department of Mathematics,  VNIT, Nagpur.

• Attended  Advanced Training in Mathematics (ATM) School: AIS Linear Partial Differential Equations  (19th July-8th July, 2017) held  at TIFR-CAM, Bangalore.

• Actively Participated as a volunteer in 81st annual conference of The Indian Mathematical Society (Dec 27-30, 2015) at VNIT, Nagpur.

• Attended the NPDE-TCA postgraduate level training program on differential equations (25 May-14 June, 2015) at BITS-Pilani, Goa.

Professional Activities(As a reviewer):

• Mathematical Reviews (Americal Mathematical Society)

• Applied Numerical Mathematics (Elsevier )

• Acta Mechanica Sinica (Springer)

• Computers & Fluids (Elsevier )

• European Journal of Mechanics/B Fluids (Elsevier)

• Results in Applied Mathematics (Elsevier)

• International Journal for Numerical Methods in Fluids (Wiley )

• International Journal of Computer Mathematics (Taylor & Francis)

• International Journal of Computational Fluid Dynamics (Taylor & Francis)

• Computational and Applied Mathematics (Springer)

• Communications in Nonlinear Science and Numerical Simulation (Elsevier )

• Indian Journal of Pure and Applied Mathematics (Springer)

• Journal of Applied Mathematics (Hindwavi)