Dr Vikas Kumar Jayswal

Assistant Professor of Mathematics

Dr. Vikas Kumar Jayswal is an Assistant Professor of Mathematics in School of Computer Science & Engineering at IILM University, Gurugram. He is an academician and researcher with four years of experience in teaching and research his primary research lie on High-order shock-capturing numerical schemes and their applications using Deep Learning, particularly Weighted Essentially Non-Oscillatory (WENO) and Essentially Non-Oscillatory (ENO) methods integrated with neural networks for solving classification and regression problems using frameworks such as TensorFlow, Keras, and PyTorch.

In addition to teaching courses like Engineering Mathematics, Numerical Analysis, Linear Algebra, Differential Equations, Multivariable Calculus, Transforms Techniques he possesses technical proficiency in Python, MATLAB, Octave, Wolfram Mathematica and LaTeX.

Educational Qualifications:

Ph.D. in Applied Mathematics from SRM Institute of Science and Technology,Kattankulathur, Chennai.
M.Sc. in Mathematics from Indian Institute of Technology Madras (IIT-M), Chennai.
B.Sc. in Mathematics from Dr. Ram Manohar Lohia Avadh University, Faizabad

Publications Record:

ENO classification and regression neural networks for numerical approximation of discontinuous flow problems, Soft Computing. Vol 28, iss 20, pp 11787-117982024,2024. DOI: https:10.1007/s00500-024-09944-0
On the learning of high order polynomial reconstructions for essentially non-oscillatory schemes, Physica Scripta. Vol 99, issue 11,pp 116009, 2024. DOI:10.1088/1402-4896/ad7f97
Smooth Solution Region Based Enhanced Hybrid Third-Order WENO Schemes, Computational and Applied Mathematics, vol 44,142(2025). DOI: http://doi.org/10.1007/s40314-025-03093-2
A new global smoothness indicator of fifth order non-oscillatory scheme for hyperbolic conservation laws, The Journal of Analysis.2024. DOI: 10.1007/s41478-024-00739-y

Book Chapter/Conference paper:

Learning Numerical Viscosity Using Artificial Neural Regression Network. Computational Sciences-Modelling, Computing and Soft Computing, DOI: https://doi.org/10.1007/978-981-16-4772-7_3

Topper's speak

"IILM University’s MBA programme was truly transformative. The faculty’s real-world insights made learning highly practical and relevant. Personalised mentoring and career support aligned my goals with industry needs, while the vibrant campus life and networking opportunities enriched the experience. IILM equips you with the skills to thrive in the corporate world."

Gurtej ChawlaAssociate Vice President

MBA 2006-08Xceedance Consulting
Private Limited

"We were privileged to learn from faculty members hailing from prestigious institutions such as IIM and FMS, alongside some of the finest professors at IILM. This strong academic foundation transformed into invaluable wisdom, shaping the path to where I am today."

Harbinder NarulaBusinessworld

1994-96Healthcare/Wellbeing/
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Brand Evangelist

"As a proud gold medallist of my batch, I had the privilege of dedicating over a decade to Deloitte Consulting. My time at IILM was truly transformative, shaping both my career and personal growth. Returning to campus for the alumni meet was a nostalgic and heartwarming experience."

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2004-06360 Degree Engineering
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"My MBA at IILM equipped me with essential business and corporate skills that helped me excel professionally. Case studies, group discussions, and grooming sessions with brilliant peers shaped me into a lifelong learner. Transitioning from a non-finance background to a finance enthusiast was possible due to IILM’s well-designed curriculum. Grateful to call IILM my Alma Mater!"