Dr. Vikas Gupta
Associate Professor
Mathematics
The LNM Institute of Information Technology
India
Biography
He had done his M.Sc. ( Master of Science ) Applied Mathematics and Ph. D. ( Doctor of Philosophy ) Indian Institute of Technology Roorkee and Indian Institute of Technology Kanpur, and currently working as assistant professor in The LNM Institute of Information Technology
Research Interest
high order non-oscillatory, B-spline collocation, Artificial viscosity
Publications
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Gupta V (2011)“Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layersâ€, with Mohan K. Kadalbajoo and Puneet Arora, Computers & Mathematics with Applications 61: 1595-1607.
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Gupta V (2015) "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: 73-94
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Gupta V (2016)Local maximum principle satisfying high order non-oscillatory schemes", with Ritesh Kumar and Biswarup Biswas(Appear online). International Journal for Numerical Methods in Fluids