Dr Gobinda Rakshit

Assistant Professor
Mathematical Sciences

Dr Gobinda Rakshit is an assistant professor in the Department of Mathematical Sciences at Rajiv Gandhi Institute of Petroleum Technology (RGIPT), Jais campus. With a rich academic background and a passion for mathematical research and teaching, Dr Rakshit brings a wealth of expertise to our institute. Having completed his Ph D from the Indian Institute of Technology Bombay in 2020 and a master’s degree from the Indian Institute of Technology Kanpur in 2011, Dr Rakshit's research focuses on the approximation of operator equations. His dedication to advancing mathematical knowledge extends to areas such as functional analysis, integral equations, and approximation theory. With previous experience as a postdoctoral fellow in the School of Mathematical Sciences at UM-DAE Centre for Excellence in Basic Sciences, Mumbai, Dr Rakshit has also contributed to the education of integrated M Sc students. Driven by a commitment to excellence in both research and teaching, Dr Gobinda Rakshit is a valuable asset to the Department of Mathematical Sciences at RGIPT, inspiring students and contributing to the advancement of mathematical knowledge.

Education
Ph D 2020 Indian Institute of Technology Bombay, Bombay
M Sc 2011 Indian Institute of Technology Kanpur, Kanpur
B Sc 2009 The University of Burdwan, West Bengal

Experience

June 2021 – Till Date Assistant Professor, Rajiv Gandhi Institute of Petroleum Technology, Jais, Amethi
Oct 2020 – June 2021 Post-Doctoral Fellow, UM-DAE Centre for Excellence in Basic Sciences, Mumbai
Jan 2020 – June 2020 Research Associate, Indian Institute of Technology Bombay, Mumbai
July 2012 – July 2014 Assistant Professor, Guru Nanak Institute of Technology, Kolkata
  • Functional Analysis (PG) at UM-DAE CEBS, Mumbai
  • Ordinary Differential Equations (PG) at UM-DAE CEBS, Mumbai
  • Measure Theory (PG)
  • Linear Algebra and Complex Analysis (UG)
  • Differential Equations (UG)
  • Discrete Mathematics (UG)
  • Elementary Number Theory and Algebra (UG)
  • Real Analysis and Calculus (UG) 
  • Numerical Methods (UG)
Research Interests
  • Integral Equations
  • Numerical Functional Analysis
  • Approximation Theory 
Research Projects
Invited Talks
  • Participated IWM (a group of Indian mathematicians organized by National Board of Higher Mathematics (NBHM)) mini course on ‘Approximate Solutions of Operator Equations and Eigenvalue Problems’ by Prof. Balmohan V. Limaye. November 20 - 21, 2021. https://sites.google.com/site/iwmmath
  • Talk in Diamond Jubilee Symposium, Mathematics Department, IIT Bombay, Mumbai, India. January 04 - 06, 2019. http://www.math.iitb.ac.in/~djsym/talk/Day1/Gobinda_Rakshit.pdf
  • Participated in Conference on Functional Analysis, Mathematics Department, IIT Bombay,  Mumbai, India. October 12 - 15, 2017. https://sites.google.com/view/fa-iitb-2017/home
  • A Participant of Instructional School for Lecturers (Galois Theory), Department of Mathematics, SGGS Institute of Engineering & Technology, Nanded, India. December 01 - 13, 2014. https://sggs.ac.in/wp-content/uploads/2019/07/Mathematics-Report-Report_3.pdf
Journal Publications

G. Rakshit, Shashank K. Shukla, A. S. Rane. A note on improvement by iteration for the approximate solutions of second kind Fredholm integral equations with Green’s kernels. The Journal of Analysis, accepted for publication, (2025)

G. Rakshit. Asymptotic error analysis for the discrete iterated Galerkin solution of Urysohn integral equations with Green’s kernels. Advances in Applied Mathematics and Mechanics, 17:175–206, (2025). DOI: 10.4208/aamm.OA-2023-0004

Alpesh Kumar, G. Rakshit, Deepak Kumar Yadav and Rajesh Yadav. RBF Based some IMEX finite difference schemes for pricing option under liquidity switching. International Journal of Computer Mathematics, 101(7):768-788, (2024). DOI: 10.1080/00207160.2024.2383757

A. S. Rane, G. Rakshit and Punit Sharma. Asymptotic expansions of approximate solutions of integral equations and eigenvalue problems in modified version of iterated collocation method with Green’s type kernel. Journal of Integral Equations and Applications, 36(1):111–127, (2024). DOI : 10.1216/jie.2024.36.111

G. Rakshit, A. S. Rane and K. Patil. Richardson extrapolation for the iterated Galerkin solution of Urysohn integral equations with Green’s kernels. International Journal of Computer Mathematics, 99(8):1538–1556, (2022). DOI : 10.1080/00207160.2021.1986215

G. Rakshit and A. S. Rane. Asymptotic expansion of iterated Galerkin solution of second kind Fredholm integral equations with Green's kernels. Journal of Integral Equations and Applications, 32(4):495-507 (2020). DOI : https://projecteuclid.org/euclid.jiea/1609815762.

R. P. Kulkarni and G. Rakshit. Discrete modified projection methods for Urysohn integral equations with Green's function type kernels. Mathematical Modelling and Analysis, 25(3):421-440 (2020). DOI: https://doi.org/10.3846/mma.2020.11093.

R. P. Kulkarni and G. Rakshit. Richardson extrapolation for the discrete iterated modified projection solution. Numerical Algorithms, 85:171-189 (2020). : https://doi.org/10.1007/S11075-019-00808-5.

R. P. Kulkarni and G. Rakshit. Discrete modified projection method for Urysohn integral equations with smooth kernels. Applied Numerical Mathematics, 126:180-198 (2018). DOI: https://doi.org/10.1016/j.apnum.2017.12.008.

  • Convener DUGC (from  October 2024 – till date)
  • Hostel Warden (from March 2023 – till date)
  • Co-convener of Gym & Sports Council (from November 2022 – till date)
  • Exam-in-Charge of the Department of Mathematical Sciences (from August 2022 – till date)
  • Departmental representative of Class Monitoring Committee (from February 2022 – till date)
  • Departmental representative of Web Management Committee (from March 2022 – till date)
  • Member of the Purchase Committee: Academic Affairs Section (from August 2022 – till date)
  • Member of Departmental Purchase Committee (Member Secretary July 2021-March 2022), DUGC and DPGC (from August 2021 – till date)
  • Member of the committee Skill Development Activities of RGIPT - Incubation Centre (IC) (from July 2021 – till date)
  • Postdoctoral Fellowship (August 2020), UM-DAE Centre for Excellence in Basic Sciences (CEBS), Mumbai.
  • GATE 2011, GATE 2014, Joint CSIR-UGC NET 2012(June), Joint CSIR-UGC NET 2013 (December), Joint CSIR-UGC NET 2014 (June), NBHM written Test - 2013

Shashank Kumar Shukla
Ph D Student

 2021 Analysis on Approximate Solutions of Integral Equations of the second kind

Rajesh Yadav
Ph D Student

 2021 Numerical Solution of PDE

Deepak Kumar Yadav
Ph D Student

 2020 Computational Finance

 

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