The LNM Institute of Information Technology

personal_information Photo

Vikas Gupta

vikasg@lnmiit.ac.in

Date of joining:

Department:

Mathematics


Summary


Biography


Research Area

My research interests include, but are not limited to, the following topics: Numerical analysis, Computational ODE and PDEs, Singularly perturbed problems, B-spline collocation, Higher order FDM, Operational matrix methods, Semi-analytical methods, Boundary and interior layers, Layer adapted meshes, Automated mesh generation techniques, Fractional differential Equations, Mathematical and Computational Finance

Personal information

Name

Designation

Department

ORCID

Scopus_link

Website

Prof. Vikas Gupta

Professor

Mathematics

https://orcid.org/0000-0003-0571-1488

https://sites.google.com/lnmiit.ac.in/vikasg

Education

Degree/DiplomaInstitute/ OrganizationYearBranch/Specialization
1Ph. D. Doctor of PhilosophyIndian Institute of Technology Kanpur2009Mathematics
2M.Sc. Master of ScienceIndian Institute of Technology Roorkee2001Applied Mathematics

Publications

1Sanjay Sahoo and Ritesh Kumar, Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers, Computational and Applied Mathematics, 40, Article number: 179 (2021) DOI: https://doi.org/10.1007/s40314-021-01564-w, July 2021
2with Prabhat Mishra and Ritesh Dubey,, A mesh adaptation algorithm using new monitor and estimator function for discontinuous and layered solution, , Numerical Algebra, Control and Optimization, 2021 (Accepted), July 2021
3Ritesh Dubey, Mesh Refinement Algorithm for Singularly Perturbed Boundary and Interior Layer Problems", International Journal of Computational Methods, Vol. 17, No. 7 (2020) 1950024, May 2020
4Ritesh Kumar & Mohan K. Kadalbajoo, A parameter robust hybrid finite difference scheme for singularly perturbed parabolic problem with two small parameters”, International Journal of Computer Mathematics, 96(3), (2019), 474-499, DOI: https://doi.org/10.1080/00207160.2018.1432856 , June 2019