Dr. Vikas Gupta

Personal Information

Name Dr. Vikas Gupta
Designation Associate Professor
Department Mathematics
URL
Date of Joining -
Research Area :
Numerical Analysis, Computational ODEs and PDEs, Singularly Perturbed Problems, Layer Adapted Meshes, Computational Finance, B-spline Collocation

Contact Information

Address Office No. 2032, Dept. of Mathematics, The LNM Institue of Information Technology, Jaipur
City JAIPUR
State RAJASTHAN
Country INDIA
Email Address vikasg@lnmiit.ac.in
Phone [Mobile] 7597252464
Office Extension 1415191797

Academic Information

Degree/Diploma Institute/ Organization Year Branch/Specialization
1 M.Sc.  ( Master of Science ) Applied Mathematics 2001 Indian Institute of Technology Roorkee
2 Ph. D.  ( Doctor of Philosophy ) Mathematics 2009 Indian Institute of Technology Kanpur

Research Publications

 
1 A parameter robust hybrid finite difference scheme for singularly perturbed parabolic problem with two small parameters”, with Ritesh Kumar & Mohan K. Kadalbajoo, (Accepted), International Journal of Computer Mathematics, DOI: https://doi.org/10.1080/00207160.2018.1432856    JAN  2018      


2 Higher order numerical scheme for singularly perturbed differential-difference parabolic problems”, with Mukesh Kumar & Sunil Kumar, (Accepted), Numerical Methods for Partial Differential Equations. DOI: 10.1002/num.22203    AUG  2017      


3 Local maximum principle satisfying high order non-oscillatory schemes", with Ritesh Kumar and Biswarup Biswas(Appear online), International Journal for Numerical Methods in Fluids. DOI: 10.1002/d.4202    FEB  2016      


4 "Qualitative analysis and numerical solution of Burgers’ equation via B-spline collocation with implicit Euler method on piecewise uniform mesh" with M.K. Kadalbajoo, Journal of Numerical Mathematics, 24 (2016) 73-94    JAN  2015      


5 “Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers”, with Mohan K. Kadalbajoo and Puneet Arora, Computers & Mathematics with Applications, 61 (2011) 1595-1607.    JUN  2011      


6 “A layer adaptive B-spline collocation method for singularly perturbed one dimensional parabolic problem with a boundary turning point”, with Mohan K. Kadalbajoo, Numerical Methods for Partial Differential Equations, 27 (2011) 1143-1164.    MAR  2011      


7 “A singular perturbation approach to solve Burgers-Huxley equation via hybrid finite difference scheme on layer-adaptive mesh”, with Mohan K. Kadalbajoo, Communications in Nonlinear Science and Numerical Simulation, 16 (2011) 1825-1844.    DEC  2011      


8 “A brief survey on numerical methods for solving singularly perturbed problems”, with Mohan K. Kadalbajoo, Applied Mathematics and Computation, 217 (2010) 3641-3716.    NOV  2010      


9 “B-spline collocation method for solving singularly perturbed turning point problem having twin boundary layers”, with Mohan K. Kadalbajoo, International Journal of Computer Mathematics, 87 (2010) 3218-3235.    AUG  2010      


10 “Numerical approximation of modified Burgers’ equation via hybrid finite difference scheme on layer-adaptive mesh”, with Mohan K. Kadalbajoo, Neural Parallel and Scientific Computations, 18 (2010) 167-194.    APRIL  2010      


11 “Hybrid finite difference methods for solving modified Burgers and Burgers-Huxley equations”, with Mohan K. Kadalbajoo, Neural Parallel and Scientific Computations, 18 (2010) 409-422.    SEPT  2010      


12 Numerical solution of singularly perturbed convection-diffusion problem using parameter uniform B-spline collocation method”, with Mohan K. Kadalbajoo, Journal of Mathematical Analysis and Applications, 355 (2009) 439-452.    FEB  2009      


13 “A uniformly convergent B-spline collocation method on a nonuniform mesh for singularly perturbed one-dimensional time-dependent linear convection-diffusion problem”, with Mohan K. Kadalbajoo and Ashish Awasthi, Journal of Computational and Applied Mathematics, 220 (2008) 271-289.    MAR  2008      


Academic Experience

 
Name of Institute Duration From Duration To
1 BITS Pilani, Goa Campus 2009 2010
2 LNMIIT Jaipur 2011 2016

Training/Conferences/Short Term Courses Conducted

Month Year Information
1 DEC 2013 Workshop on Elliptic Equations: Variational Formulation and Numerics (EEVFN-2013), from Dec. 9 to Dec. 20, 2013, Sponsored by NBHM and LNMIIT Jaipur
2 AUG 2014 Workshop on GPU Computing, August 9-10, 2014, The LNM Institute of Information Technology, Jaipur, India.
3 DEC 2014 Advanced Workshop on Hyperbolic PDEs: Theory, Numerics & Applications (HPTNA-2014), from Dec. 1 to Dec. 9, 2014, Sponsored by NBHM, DST and LNMIIT Jaipur
4 DEC 2014 Conference on Partial Differential Equations (CPDE-2014), from Dec. 10 to Dec.11, 2014, Sponsored by NBHM, DST and LNMIIT Jaipur
5 MAY 2015 Undergraduate Level Training Progamme On Differential Equations (NPDE-TCA UG-2015), from May 18 to June 06, 2015, Sponsored by NPDE-TCA and LNMIIT Jaipur
6 DEC 2015 National Workshop on Cryptography (NWC-2015), from Dec. 14 to Dec. 20, 2015, Sponsored by NBHM & IBM.
7 FEB 2017 Advanced Level Workshop on Diffusion and Sub-Diffusion Problems: Theory, Numerics & Applications (WDSDPTNA-2017), from Jan. 31 to Feb. 05, 2017, Sponsored by NPDE-TCA IIT Bombay
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