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Dr. Sunil Kumar

Associate Professor
Department of Mathematical Sciences, IIT BHU, Varanasi
Phone No(s): .
Email: skumar.mat@iitbhu.ac.in
Area of Interest: Numerical Analysis of Partial Differential Equations, Fractional Differential Equations, Artificial Intelligence, Medical Image Processing
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Dr Sunil Kumar is working as an Associate Professor in the Department of Mathematical Sciences, IIT (BHU), Varanasi, India. He earned his M.Sc. degree from IIT Roorkee and his doctorate degree from IIT Delhi. He carried out his postdoctoral research at IISc Bangalore (2012) and University of Coimbra, Portugal (2012-2014). He was then a research scientist at Max Planck Institute for Solar System Research, Germany (2014-2015). He also served as Assistant Professor at NIT Delhi (2015-2016). His research interests span the broad areas of Numerical Analysis and Image Processing. Mainly, he focuses on the following topics. 

Research Areas

  • Numerical Analysis of Partial Differential Equations
  • Fractional Differential Equations
  • Artificial intelligence
  • Medical Image Processing

Education

  • Ph. D. in Mathematics : Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, India.
  • M. Sc. in Mathematics : Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India.

Academic Appointments

  • Associate Professor, Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, India, November 2022 to Continuing.
  • Assistant Professor, Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, India, October 2016 to November 2022.
  • Assistant Professor, Department of Applied Sciences, National Institute of Technology Delhi, India, March 2015 – October 2016.
  • Research Scientist, Max Planck Institute for Solar System Research, Goettingen, Germany, October 2014 – March 2015.
  • Postdoctoral Fellow, Department of Mathematics, University of Coimbra, Coimbra, Portugal, June 2012 to September 2014.
  • Postdoctoral Fellow, Indian Institute of Science, Bangalore, India, February 2012 to June 2012.

Visiting Positions

  • Visiting Professor, Department of Mathematics, University of Coimbra, Portugal, June 17, 2017 to July 14, 2017.

International Journal Publications

 

  • P.P. Vaish, S. Kumar, K. Rani, S. Kumar, Hyperspectral Image Classification Using a New Multi-Branch Network Based on Pseudo-3D Blocks and 2D Depthwise Separable Convolutions, accepted in Soft Computing, (2025), Impact factor: 3.1
  • A. Jaiswal, S. Kumar, H. Ramos, Efficient uniformly convergent numerical methods for singularly perturbed parabolic reaction–diffusion systems with discontinuous source term, Journal of Applied Mathematics and Computing, (2025) , DOI: https://doi.org/10.1007/s12190-024-02340-9 Impact factor: 2.2
  • A. Jaiswal, S. Kumar, H. Ramos, Boundary and interior layer phenomena in coupled multi-scale parabolic convection-diffusion interface problems: efficient numerical resolution and analysis, International Journal of Numerical Methods for Heat and Fluid Flow, (2025), DOI: 10.1108/HFF-09-2024-0695 Impact factor: 4.0
  • C. Clavero, S.Kumar, S. Kumar, A priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems Applied Numerical Mathematics, 208, Part B (2025) 123-147 Impact factor: 2.8
  • A. Singh, S. Kumar, Higher order numerical approximations for non-linear time-fractional reaction–diffusion equations exhibiting weak initial singularity, Communications in Nonlinear Science and Numerical Simulation, 139 (2024) 108317 Impact factor: 3.4
  • S. Kumar, S. Kumar, P. Das, Second-order a priori and a posteriori error estimations for integral boundary value problems of nonlinear singularly perturbed parameterized form , Numerical Algorithms, (2024), https://doi.org/10.1007/s11075-024-01918-5 Impact factor: 2.1
  • S. Kumar, S. Kumar, H. Ramos, Kuldeep, A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems, Journal of Applied Mathematics and Computing, 70 (2024) , 5645–5668 Impact factor: 2.2
  • A. Singh, S. Kumar, Error analysis of a high-order fully discrete method for two-dimensional time-fractional convection-diffusion equations exhibiting weak initial singularity, Numerical Algorithms, (2024), https://doi.org/10.1007/s11075-024-01877-x Impact factor: 2.1
  • A. Singh, S. Kumar, H. Ramos, An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations, Computational Methods for Differential Equations, 12 (2024) 719-740 Impact factor: 1.1
  • Aakansha, S. Kumar, H. Ramos, A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers, Journal of Applied Mathematics and Computing, 70 (2024) 1043–1067 Impact factor: 2.2
  • S. Saini, P. Das, S. Kumar, Parameter uniform higher order numerical treatment for singularly perturbed Robin type parabolic reaction diffusion multiple scale problems with large delay in time, Applied Numerical Mathematics, 196 (2024) 1-21 Impact factor: 2.8
  • A. Singh, S. Kumar, An efficient numerical method based on exponential B-splines for a time-fractional Black–Scholes equation governing European options, Computational Economics, 64 (2024) 1965–2002 Impact factor: 2.0
  • A. Singh, S. Kumar, J. V.-Aguiar, On new approximations of Caputo-Prabhakar fractional derivative and their application to reaction-diffusion problems with variable coefficients, Mathematical Methods in the Applied Sciences, 47 (2024) 268-296 Impact factor: 2.9
  • S. Kumar, S. Kumar, Sumit, A priori and a posteriori error estimation for singularly perturbed delay integro- differential equations, Numerical Algorithms, 95 (2024) 1561–1582 Impact factor: 2.1
  • S. Kumar, S. Kumar, Sumit, High-order convergent methods for singularly perturbed quasilinear problems with integral boundary conditions, Mathematical Methods in the Applied Sciences, 47 (2024) 11106- 11119 Impact factor: 2.9
  • K. Rani, S. Kumar, Hyperspectral image classification using a new deep learning model based on pseudo-3D block and depth separable 2D-3D convolution, Engineering Applications of Artificial Intelligence, 130 (2023) 107738 Impact factor: 8
  • A. Jaiswal, S. Kumar, S. Kumar, A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations, Computational and Applied Mathematics, 42, 278 (2023), doi:10.1007/s40314-023-02406-7 Impact factor: 2.6
  • A. Singh, S. Kumar, J. V.-Aguiar, High-order schemes and their error analysis for generalized variable coefficients fractional reaction–diffusion equations, Mathematical Methods in the Applied Sciences, 46 (2023) 16521-16541, Impact factor: 2.9
  • A. Singh, S. Kumar, J. V.-Aguiar, A fully discrete scheme based on cubic splines and its analysis for time-fractional reaction–diffusion equations exhibiting weak initial singularity, Journal of Computational and Applied Mathematics, 434 (2023) 115338 Impact factor: 2.4
  • S. Saini, P. Das, S. Kumar, Computational cost reduction for coupled system of multiple scale reaction diffusion problems with mixed type boundary conditions having boundary layers, Revista de la Real Academiade Ciencias Exactas, F ́ısicasy Naturales.Serie A. Matem ́aticas,117,66(2023) Impact factor: 2.9
  • S. Kumar, Aakansha, J. Singh, H. Ramos, Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions, Journal of Applied Mathematics and Computing, 69 (2023) , 2239–2261 Impact factor: 2.2
  • A. Singh, S. Kumar, A convergent exponential B-spline collocation method for a time-fractional telegraph equation, Computational and Applied Mathematics, 42, 79 (2023) Impact factor: 2.6
  • S. Kumar, Kuldeep, H. Ramos, J. Singh, An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems, Mathematical Methods in the Applied Sciences, 46 (2023) 2117-2132 Impact factor: 2.9
  • J. Singh, S. Kumar, A domain decomposition method of Schwarz waveform relaxation type for singularly perturbed nonlinear parabolic problems, International Journal of Computer Mathematics, 100 (2023) 177-191 Impact factor: 1.8
  • P. P. Vaish, K. Rani, S. Kumar, Cyclic learning rate based HybridSN model for hyperspectral image classification, Multimedia Tools and Applications, 81 (2022) 32723–32738 Impact factor: 3.6
  • Kuldeep, S. Kumar, Efficient high order discretization methods for coupled systems of singularly perturbed parabolic convection-diffusion problems, International Journal of Computational Methods, 19 (2022) 2250009 Impact factor: 1.7
  • Kuldeep, S. Kumar, An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems, Journal of Difference Equations and Applications, 28 (2022) 676- 694 Impact factor: 1.1
  • S. Kumar, Sumit, J.V. Aguiar, A high order convergent numerical method for singularly perturbed time dependent problems using mesh equidistribution, Mathematics and Computers in Simulation, 199 (2022) 287-306 Impact factor: 4.6
  • Sumit, S. Kumar, J.V. Aguiar, Analysis of a nonlinear singularly perturbed Volterra integro-differential equation, Journal of Computational and Applied Mathematics, 404 (2022) 113410 Impact factor: 2.4
  • S. Kumar, Sumit, J.V. Aguiar, A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection–diffusion problems, Journal of Computational and Applied Mathematics, 404 (2022) 113273 Impact factor: 2.4
  • S. Kumar, S. Kumar, Sumit, A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition, Numerical Algorithms, 89 (2022) 791–809 Impact factor: 3.041
  • Sumit, S. Kumar, S. Kumar, A high order convergent adaptive numerical method for singularly perturbed nonlinear systems, Computational and Applied Mathematics, 41, 83 (2022) Impact factor: 2.6
  • Aakansha, S. Kumar, J. Singh, An efficient numerical method for coupled systems of singularly perturbed parabolic delay problems, Computational and Applied Mathematics, 41, 29 (2022) Impact factor: 2.6
  • Sumit, S. Kumar, M. Kumar, Optimal fourth-order parameter-uniform convergence of a non-monotone scheme on equidistributed meshes for singularly perturbed reaction–diffusion problems, International Journal of Computer Mathematics, 99 (2022), 1638-1653 Impact factor: 1.8
  • Aakansha, J. Singh, S. Kumar, Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems, Computational and Applied Mathematics, 40, 82 (2021) Impact factor: 2.6
  • S. Kumar, Sumit, H. Ramos, Parameter-uniform approximation on equidistributed meshes for singularly perturbed parabolic reaction-diffusion problems with Robin boundary conditions, Applied Mathematics and Computation, 392 (2021) 125677 Impact factor: 4.0
  • A. Patel, K. Rani, S. Kumar, IN Figueiredo, PN Figueiredo, Automated bleeding detection in wireless capsule endoscopy images based on sparse coding, Multimedia Tools and Applications, 80 (2021) 30353–30366 Impact factor: 3.6
  • M. Kumar, J. Singh, S. Kumar, Aakansha, A robust numerical method for a coupled system of singularly perturbed parabolic delay problems, Engineering Computations, 38 (2021) 964-988 Impact factor: 1.67
  • Sumit, S. Kumar, M. Kumar, Kuldeep, A robust numerical method for a two-parameter singularly perturbed time delay parabolic problem, Computational and Applied Mathematics, 39 (2020) 239 Impact factor: 2.6
  • SCS Rao, S. Kumar, J. Singh, A discrete Schwarz waveform relaxation method of higher order for singularly perturbed parabolic reaction–diffusion problems, Journal of Mathematical Chemistry, 58 (2020) 574–594 Impact factor: 1.7
  • S. Kumar, J. Singh, M. Kumar, A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems, Journal of Mathematical Chemistry, 57 (2019) 1557–1578 Impact factor: 1.7
  • P. N. Figueiredo, I. N. Figueiredo, L. Pinto, S. Kumar, Y.-H. R. Tsai, A. V. Mamonov, Polyp detection with computer aided diagnosis in white light colonoscopy: comparison of three different methods, Endoscopy International Open, 7 (2019) E209-E215. Impact factor: 2.6
  • J. Singh, S. Kumar, M. Kumar, A domain decomposition method for solving singularly perturbed parabolic reaction-diffusion problems with time delay, Numerical Methods for Partial Differential Equations, 34 (2018) 1849-1866 Impact factor: 3.9
  • V. Gupta, M. Kumar, S. Kumar, Higher order numerical approximation for time dependent singularly perturbed differential-difference convection-diffusion equations, Numerical Methods for Partial Differ- ential Equations, 34 (2018) 357-380 Impact factor: 3.9
  • S. Kumar and M. Kumar, A Second Order Uniformly Convergent Numerical Scheme for Parameterized Singularly Perturbed Delay Differential Problems, Numerical Algorithms, 76 (2017) 349-360 Impact factor: 2.1
  • S. Kumar, S.C.S. Rao, A Robust Domain Decomposition Algorithm for Singularly Perturbed Semilinear Systems, International Journal of Computer Mathematics, 94 (2017), 1108-1122 Impact factor: 1.8
  • C. Graca, G. Falcao, and I. N. Figueiredo, and S. Kumar, Hybrid Multi-GPU Computing: Accelerated Kernels for Segmentation and Object Detection with Medical Image Processing Applications, Journal of Real-Time Image Processing, 13 (2017) 227-244 Impact factor: 3.0
  • I. N. Figueiredo, S. Moura, J. S. Neves, L. Pinto, S. Kumar, C. M. Oliveira, J. D. Ramos, Automated retina identification based on multiscale elastic registration, Computers in Biology and Medicine, 79 (2016) 130-143 Impact factor: 7.7
  • S. Kumar and M. Kumar, Analysis of Some Numerical Methods on Layer-Adapted Meshes for Singularly Perturbed Quasilinear Systems, Numerical Algorithms, 71 (2016) 139-150 Impact factor: 2.1
  • I. N. Figueiredo, S. Kumar, C. M. Oliveira, J. D. Ramos, and B. Engquist, Automated Lesion Detectors in Retinal Fundus Images, Computers in Biology and Medicine, 66 (2015) 47-65 Impact factor: 7.7
  • S. Kumar and M. Kumar, An Analysis of Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems, Journal of Computational and Applied Mathematics, 281 (2015) 250-262 Impact factor: 2.4
  • S. Kumar and M. Kumar, High Order Parameter-Uniform Discretization for Singularly Perturbed Delay Parabolic Partial Differential Equations with Time Delay, Computers & Mathematics with Applications, 68 (2014) 1355-1367 Impact factor: 2.9
  • S. Kumar, Layer-Adapted Methods for Quasilinear Singularly Perturbed Delay Differential Problems, Applied Mathematics and Computation, 233 (2014) 214-221 Impact factor: 4.0
  • S. Kumar and S. C. S. Rao, A Robust Overlapping Schwarz Domain Decomposition algorithm for Time- Dependent Singularly Perturbed Reaction-Diffusion Problems, Journal of Computational and Applied Mathematics, 261 (2014) 127-138 Impact factor: 2.4
  • I. N. Figueiredo, S. Kumar, C. Leal, and P. N. Figueiredo, Computer-Assisted Bleeding Detection in Wireless Capsule Endoscopy Images, Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization, 1 (2013) 198-210 Impact factor: 1.6
  • S. C. S. Rao and S. Kumar, Robust High Order Convergence of a Overlapping Schwarz Method for a Singularly Perturbed Semilinear Reaction-Diffusion Problems, Journal of Computational Mathematics, 31 (2013) 509-521 Impact factor: 1.2
  • S. C. S. Rao and S. Kumar, Second Order Global Uniformly Convergent Numerical Method for a System of Coupled Singularly Perturbed Initial Value Problems, Applied Mathematics and Computation, 219 (2012) 3740-3753 Impact factor: 4.0
  • S. Kumar and M. Kumar, Parameter-Robust Numerical Method for a System of Singularly Perturbed Initial Value Problems, Numerical Algorithms, 59 (2012) 185-195 Impact factor: 2.1
  • M. Kumar and S. Kumar, High Order Robust Approximations for Singularly Perturbed Semilinear Systems, Applied Mathematical Modelling, 36 (2012) 3570-3579 Impact factor: 5.0
  • S. C. S. Rao and S. Kumar, An Almost Fourth Order Uniformly Convergent Domain Decomposition Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations, Journal of Computational and Applied Mathematics, 235 (2011) 3342-3354 Impact factor: 2.4
  • S. C. S. Rao and S. Kumar, A Hybrid Difference Scheme for Singularly Perturbed Semilinear Reaction-Diffusion Problems, Neural, Parallel and Scientific Computations, 21 (2013) 335-346 Scopus
  • S. C. S. Rao, S. Kumar, and M. Kumar Uniform Global Convergence of a Hybrid Scheme for Singularly Perturbed Reaction-Diffusion Systems, Journal of Optimization Theory and Applications, 151 (2011) 338-352 Impact factor: 1.9
  • S. C. S. Rao and S. Kumar, A Robust Numerical Method for Singularly Perturbed Semilinear Convection-Diffusion Problems, Neural, Parallel and Scientific Computations, 18 (2010) 155–165 Scopus
  • S. C. S. Rao, S. Kumar, and M. Kumar, A Parameter Uniform B-Spline Collocation Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems, Journal of Optimization Theory and Applications, 146 (2010) 795–809 Impact factor: 1.9

International Conference Publications​

  • A. Kumar, S. Kumari, A. Pratap, S. Kumar, NVM-Enhanced MLI Placement for Revenue Maximization in UAV-Fog Assisted MEC with Stable Matching, ICDCN ’24: Proceedings of the 25th International Conference on Distributed Computing and Networking, Pages 365 - 370, DOI: https://doi.org/10.1145/3631461.3631475.

  • K. Rani, G. Devi, S. Kumar, I. N. Figueiredo and P. N. Figueiredo, Classification of wireless capsule en- doscopy images for bleeding using deep features fusion, Proc. IEEE, 2022 International Conference on Electrical, Computer, Communications and Mechatronics Engineering (ICECCME), Maldives, Maldives, 2022, pp. 1-6, doi: 10.1109/ICECCME55909.2022.9987916.

  • S. Kumar, J. Singh, and M. Kumar, A Robust Domain Decomposition Method for  Singularly Perturbed Parabolic Systems, Proc. of the 18th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2018, Rota, Cadiz, Spain, July 9–14, 2018.

  • J. Singh, S. Kumar, and M. Kumar, A high order accurate overlapping domain decomposition method for singularly perturbed reaction-diffusion systems, Lecture Notes in Computer Science,  (2018), Proc. of 7-th Conference on Finite Difference Methods: Theory and Applications (FDM: T&A’ 2018), Lozenetz, Bulgaria, June 11-16, 2018.

  • I. Joshi, S. Kumar, and I. N. Figueiredo Bag of Visual Words Approach for Bleeding Detection in Wireless Capsule Endoscopy Images, Lecture Notes in Computer Science, 9730 (2016) 575-582, Proceedings of International Conference on Image Analysis and Recognition, Povoa de Varzim, Portugal, July 13-15, 2016.

  • C. Graca, G. Falcao, S. Kumar, and I. N. Figueiredo, Cooperative Use of Parallel Processing with Time or Frequency-Domain Filtering for Shape Recognition, Proc. IEEE, European Signal Processing Conference (EUSIPCO 2014), Lisbon, Portugal, 2014.

  • I. N. Figueiredo, S. Kumar, C. Leal, and L. Pinto, Fall detection modeling based on inverse problems, International Conference on Engineering Optimization (EngOpt 2014), Lisbon, Portugal, Sept. 8-11, 2014, Proc. Taylor & Francis Group (CRC/Balkema).

  • I. N. Figueiredo and S. Kumar, Automatic Optic Disc Detection in Retinal Fundus Images Based on Geometric Features, Lecture Notes in Computer Science, 8815 (2014) 285-292, Proceedings of International Conference on Image Analysis and Recognition, Algarve, Portugal, Oct. 22-24, 2014.

  • I. N. Figueiredo and S. Kumar, Wavelet-based computer-aided detection of bright lesions in retinal fundus images, Lecture Notes in Computer Science, 8641 (2014) 234-240, Proceedings of CompImage'14 conference, Pittsburgh, USA, Sept. 3-5, 2014.

  • I. N. Figueiredo, S. Kumar, and P. N. Figueiredo An Intelligent System for Polyp detection in Wireless Capsule Endoscopy Images, Computational Vision andMedical Image Processing IV, Taylor & Francis Group, London, (2013), 229-235, Proceedings of IV ECCOMAS Thematic Conference on Computational Vision andMedical Image Processing:VipIMAGE2013, Funchal, Portugal.

  • I. N. Figueiredo, S. Kumar, C Leal, and P. N. Figueiredo, An Automatic Blood Detection Algorithm for Wireless Capsule Endoscopy Images, Computational Vision and Medical Image Processing IV, Taylor & Francis Group, London, (2013), 237-241, Proceedings of IV ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing:VipIMAGE2013, Funchal, Portugal.

  • S. C. S. Rao and S. Kumar, Numerical Solution of a Nonlinear System of Singularly Perturbed Initial Value Problems, Dynamic Systems and Applications, 6 (2012) 367-371, Proceedings of Sixth International Conference on Dynamic Systems and Applications, Atlanta, Georgia,USA.

  • S. C. S. Rao and S. Kumar, An Efficient Numerical Method for a System of Singularly Perturbed Semilinear Reaction-Diffusion Equations, Lecture Notes in Computer Science, 6046 (2011) 486-493, Proc. of 7th International Conference, NMA 2010, Borovets, Bulgaria, August 20-24, 2010.

Book Chapters

  • S. Kumar, I. N. Figueiredo, C. Graca, and G. Falcao, A GPU Accelerated Algorithm for Blood Detection in Wireless Capsule Endoscopy Images, Developments in Medical Image Processing and Computational Vision, Lecture Notes in Computational Vision and Biomechanics, Springer, 2015, pp. 55 -71.

Thesis

  • S. Kumar,Overlapping Schwarz Domain Decomposition Methods for Singularly Perturbed Reaction-Diffusion Problems, Ph.D Thesis, I.I.T. Delhi,New Delhi, India, 2012.

 

Even Semester, 2024-25 Academic Year

  • MA 201: Numerical Techniques
  • MA102: Mathematics II

See below for a list of all courses that I have taught since March 2015.

 Courses taught at IIT (BHU), Varanasi, India

  • MA 101: Mathematics I
  • MA 102: Mathematics II
  • MA 104: Information Technology and Computing Workshop
  • MA 201: Numerical Techniques
  • CSM 421: Numerical Solution of Partial Differential Equations
  • MA 203: Mathematical Methods
  • MA 423: Integral Equations and Calculus of Variation

Courses taught at NIT Delhi, New Delhi, India

  • MH 110: Mathematics II
  • MAL 101: Advanced Calculus
  • MAL 151: Linear Algebra and Complex Analysis
  • AS 650: Research Methodology
  • AS 602: Advanced Numerical Analysis
  • MEL 551: Computational Methods in Engineering

Ph.D. 

 Name  Topic  Status  Registration Year
 Sumit Robust adaptive numerical methods for singularly perturbed integro and partial differential equations  Completed  2016
 Joginder Singh Robust domain decomposition methods for singularly perturbed parabolic  problems  Completed  2017
 Aakansha  Numerical approximations for singularly perturbed parabolic problems based on domain decomposition and fitted meshes Completed 2018
 Kuldeep Analysis of numerical schemes on layer adapted meshes for singularly perturbed partial differential equations Completed 2018
 Kumi Rani Handcrafted and deep learning techniques for classification of medical and hyperspectral images Completed 2019
 Anshima Singh Analysis of high-order methods for time-fractional partial differential equations with smooth and non- smooth solutions Completed 2019
Shashikant Kumar  A priori and a posteriori error estimates for singularly perturbed differential and integro-differential equations Completed 2020
Aishwarya Jaiswal Numerical analysis of singularly perturbed problems  Ongoing 2022
Priyanka Numerical methods for fractional order PDEs Ongoing 2022  
Nitin Numerical analysis of PDEs Ongoing 2023
Govind Kumar Numerical analysis of PDEs Ongoing 2024  

M. Tech.

 Name  Topic  Status  Year
 Indu Joshi Automated Analysis of Wireless Capsule Endoscopy Images  Completed  2016
Sumit Sahrawat Convolutional Neural Network Based Image Dehazing Methods Completed 2018
R. Ronith Reddy A Numerical Study of Singularly Perturbed Parabolic Systems Completed 2019
Ashish Maindoliya Lung Cancer Detection from X-Ray Images using Deep Learning Completed 2020
Pranshu Prakash Vaish Deep Learning based Classification of Hyperspectral Images Completed 2021
Abhinav Patel Unsupervised Anomaly Detection and Localization in Colonoscopy Images Completed 2021
Abhishek Kumar MLI Placement in UAV-Assisted Fog Computing using Collaborative Multi-Agent Deep Reinforcement Learning Completed 2023
Aniket Daphale Detection of Polyps in Colonoscopy Images using Federated Learning Completed 2023

Conferences/Workshops/Short-term Courses

  • Organized
    • Coordinator, QIP and CEP STC on Computational Methods for Integral and Differential Equations, December 10-16, 2018, Department of Mathematical Sciences, IIT (BHU) Varanasi, India
    • Coordinator, Workshop on Theory and Computation of Singularly Perturbed Differential Equations, December 04 - 08, 2017, Department of Mathematical Sciences, IIT (BHU) Varanasi, India (funded by MHRD, Govt. of India, under GIAN scheme).
    • Coordinator, Workshop on Isogeometric Methods using B-Splines and NURBS, December 16 - 20, 2017, Department of Mathematical Sciences, IIT (BHU) Varanasi, India (funded by MHRD, Govt. of India, under GIAN scheme).
  • ​Attended
    • 19th International Conference on Computational and Mathematical Methods in Science and Engineering, June 30 - July 06, 2019, Rota, Cadiz, Spain.
    • International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations, June 17 – June 19, 2019, IIT Mandi, India.
    • 18th International Conference on Computational and Mathematical Methods in Science and Engineering, July 09 - 13, 2018, Rota, Cadiz, Spain.
    • International Conference on PDEs: Theory and Computations, December 28 – December 30, 2015, South Asian University, New Delhi, India.
    • IV ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing: VipIMAGE 2013, October14 – October 16, 2013, Funchal, Portugal.
    • Workshop on Modeling and Simulation of Physiological Systems, December 05 – December 08, 2012, IST Lisbon, Lisbon, Portugal.
    • ​International Congress of Mathematicians, August 19 – August 27, 2010, Hyderabad, India.
    • International Conference Boundary and Interior Layers: Computational and Asymptotic Methods, July 05 – July 09, 2010, Zaragoza, Spain.
    • Instructional School on Computational Methods for Partial Differential Equations, May 27 – June 23, 2007, Department of Mathematics, IIT Bombay, Mumbai, India.
    • Workshop on Practical Aspects of Parallel Processing , Organized by CDAC, February 05 – February 08, 2007, CSC IIT Delhi, New Delhi, India.
    • International High Performance Computing (HPC) Users Conference on Leadership Computing for Science and Industry, February 28 – March 02, 2006, IIT Delhi, New Delhi, India.

​
Invited Talks/Contributed Talks

  • Invited Talk on A spline collocation method for a fractional sub-diffusion model, FDTCA 2021, IIT (BHU) Varanasi, November 12-14, 2021.
  • Invited Talk on Introduction to Boundary Layer Problems, Refresher Course on Mathematical tools for Physical and Computational Sciences, Dr. Harisingh Gour Vishwavidyalaya, Sagar, September 24 - October 08, 2021.
  • Invited Talk on Introduction to Singularly Perturbed Differential Equations and their Numerical Methods, DETAAM 2021, DIT University, July 12-16, 2021.
  • Invited Talk on Introduction to Singularly Perturbed Problems and their Numerical Analysis, NTSC-2019 Workshop, KNIT Sultanpur, UP, India.
  • Contributed Talk on A Discrete Schwarz Waveform Relaxation Method for Singularly Perturbed Parabolic Reaction-Diffusion Problems, 19th International Conference on Computational and Mathematical Methods in Science and Engineering, June 30 - July 06, 2019, Rota, Cadiz, Spain.
  • Invited Talk on A Domain Decomposition Method for Singularly Perturbed Parabolic Reaction-Diffusion Problems, ICDECP19, June 17 – June 19, 2019, IIT Mandi, India.
  • Contributed Talk on A Robust Domain Decomposition Method for Singularly Perturbed Parabolic Systems, 18th International Conference on Computational and Mathematical Methods in Science and Engineering, July 09 - 13, 2018, Rota, Cadiz, Spain.
  • Invited Talk on Overlapping Domain Decomposition Algorithms for Singularly Perturbed Parabolic Problems, June 28, 2017,  Department of Mathematics, University of Coimbra, Coimbra, Portugal.
  • Guest Speaker QIP on Advanced Numerical and Analytical Methods for Engineers and Scientists, January 12 – January 18, 2016, IIT BHU,Varanasi.
  • Invited Talk at International Conference on PDEs: Theory and Computations, December 28 – December 30, 2015, South Asian University, New Delhi, India.
  • Chaired a session at IV ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing: VipIMAGE 2013, October14 – October 16, 2013, Funchal, Portugal.
  • Contributed Talk on An Intelligent System for Polyp detection in Wireless Capsule Endoscopy Images, IV ECCOMAS Thematic Conference on Computational Vision and Medical Image Processing: VipIMAGE 2013, October 14 – October 16, 2013, Funchal, Portugal.
  • Keynote speaker at Workshop on Modeling and Simulation of Physiological Systems, December 05 – December 08, 2012, IST Lisbon, Lisbon, Portugal.
  • Contributed Talk on A Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Initial-Value Problems, International Conference Boundary and Interior Layers: Computational and Asymptotic Methods, July 05 – July 09, 2010, Zaragoza, Spain.
  • Proctor, IIT (BHU) Varanasi, January 2025 to continuing. 
  • Member, DFAC, Department of Mathematical Sciences, IIT (BHU) Varanasi, January 2023 to December 2024.
  • Member, DUGC, Department of Mathematical Sciences, IIT (BHU) Varanasi, September 2023 to continuing.
  • Member, Purchase Committee, Department of Mathematical Sciences, IIT (BHU) Varanasi, April 2023 to March 2024.
  • Incharge, Staff Inter IIT Sports Meet 2023, IIT (BHU) Varanasi, July 2023 to December 2023.
  • Coordinator, Staff Inter IIT Sports Meet 2022, IIT (BHU) Varanasi, September 2022 to December 2022.
  • Member, Anti-Ragging Squad, IIT (BHU) Varanasi, May 2022 to continuing.
  • Member, Training and Placement Committee, Department of Mathematical Sciences, IIT (BHU) Varanasi, September 2022 to August 2023.
  • Member, DPGC, Department of Mathematical Sciences, IIT (BHU) Varanasi, September 2021 to August 2023.
  • DUGC Convener, Department of Mathematical Sciences, IIT (BHU) Varanasi, September 2019 to August 2020.
  • Warden, Vivekananda Hostel, IIT (BHU), May 2018- May 2021.
  • Deputy Controller of Examination, NIT Delhi, July 2016 – October 2016.
  • Chairman, Library Committee, NIT Delhi, July 2016 – October 2016.
  • Deputy Chief Warden, NIT Delhi, August 2015 – July 2016.
  • Chairman, Literary Club, NIT Delhi, August 2015 – July 2016.
  • Chairman, Sports Club, NIT Delhi, August 2015 – July 2016.
  • Chairman, Time Table Committee, NIT Delhi, August 2015 – July 2016.
  • DPGC Convener, Department of Applied Sciences, NIT Delhi, August 2015 – October 2016.
  • Member, Institute Annual Report Committee, NIT Delhi, August 2015 – July 2016.
  • Chairman, SRC Club, NIT Delhi, May 2015 – August 2015.
  • Assistant Warden, New Boys Hostel, Indian Institute of Science, Bangalore, May 01, 2012-June 08, 2012.

Current Openings

One JRF Position: Applications are invited from highly motivated and eligible candidates for the post of JRF for the research project entitled “Efficient layer adapted methods for parabolic interface problems with boundary and interior layers,” funded by Science & Engineering Research Board (SERB). For more details, see the job advertisement.  Last date: April 30, 2024.

Ph.D. Positions

Prospective Ph.D. Students of my Group must have sound knowledge in mathematics  (especially, in Numerical Analysis, Partial Differential Equations, and Analysis) and excellent programming skills. Ph.D. students interested in working on mathematical image processing is desired to have knowledge of image processing.

Ph.D. interviews at IIT (BHU), in general, are held two times a year;  in May/June for the odd semester and in November/December for the even semester. The admission procedure details can be found on the IIT (BHU) website, see Application Process.


Postdoctoral Positions

Several postdoctoral funding options are available through external agencies, for example NBHM, SERB , etc. If you are interested to apply for any of these fellowships with me as host, please do not hesitate to contact me via email at skumar.mat@iitbhu.ac.in