Profile
Assistant Professor in the field of Mathematics
Dr. Balyan is working as assistant Professor at Indian Institute of Information Technology Design and Manufacturing, Jabalpur. He received his Master’s in Applied Mathematics from IIT Roorkee and Ph.D. from IIT Kanpur. He completed his Ph.D. on spectral element methods for elliptic eigenvalue problems. His current research areas are high order computational methods for linear and nonlinear PDEs, numerical analysis and implementation of the methods in the field of signal processing.
Computational Methods for PDEs, Scientific Computing, Numerical Analysis, Spectral Methods
- M.Sc.
IIT Roorkee
- Ph.D.
IIT Kanpur
- 2023-Till date Head, Discipline of Natural Science
- 2023-Till date Convener, Campus Development and Welfare Committee
- 2016-2021 Faculty In-charge, Library
- 2016-2018 Faculty In-charge, Central Mess
- 2012-2014 Warden, Aryabhatha Hostel (Hall-3)
- 2009-2012 Warden, Vasishtha Hostel (Hall-1)
- Received letter of appreciation from director IIT Kanpur for extra ordinary performance in teaching during the academic year 2007-08
- SIAM Student Award for attending the International Conference in USA
My courses
Current & Previous
| Course Code | Course name | Category | Institute |
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Research
Areas or Specialisation / Project Activities / Publications / Books
Computational Methods for PDEs, Numerical Analysis, Spectral Methods
- Design and Analysis of Multiplierless Multirate Filterbank with Low Complexity. Funding agency: DST. Amount: Rs. 18,79,680/- (Co-PI)
- Method for better prediction of stock market using signals (Consultancy Project): (PI)
H Singh, A Kumar, LK Balyan (2020), “Hybrid Grey-Wolf Optimizer Based Fractional Order Optimal Filtering for Texture Aware Quality Enhancement for Remotely Sensed Images” Applications of Hybrid Metaheuristic Algorithms for Image Processing, pp. 53-79, 2020 (Scopus) https://doi.org/10.1007/978-3-030-40977-7_3
H. Singh, A. Kumar, and L. K. Balyan (2020), “Robustly Clipped Sub-equalized Histogram Based Cosine Transformed Energy Redistributed Gamma Correction for Satellite Image Enhancement,” in Proceedings of 3rd International Conference on Computer Vision and Image Processing. Advances in Intelligent Systems and Computing, vol 1024, pp. 483-595. Springer, Singapore, 2020. (Scopus) https://doi.org/10.1007/978-981-32-9291-8_38
H. Singh, A. Kumar and L. K. Balyan (2018) "A Sine-Cosine Optimizer-Based Gamma Corrected Adaptive Fractional Differential Masking for Satellite Image Enhancement," in Harmony Search and Nature Inspired Optimization Algorithms. Advances in Intelligent Systems and Computing, vol 741, pp. 633-645 Springer, Singapore, 2018. (Scopus) https://doi.org/10.1007/978-981-13-0761-4_61
L. K. Balyan (2016) A Least squares approach for exponential rate of convergence of eigenfunctions of second order elliptic eigenvalue problems, Springer Proceedings in Mathematics and & Statistics, Forging Connections between Computational Mathematics and Computational Geometry, Vol 124, P. 43-52, 2016, ISBN: 978-3-319-16138-9 (Print) 978-3-319-16139-6 (Online) (Scopus) https://doi.org/10.5176/2251-1911_CMCGS14.32_5
- A K Mittal, L K Balyan, K K Sharma (2023) A spectrally accurate time-space pseudospectral method for viscous Burgers' equation, Numerical Methods for Partial Differentiable Equations, https://doi.org/10.1002/num.23011 IF: 3.56
- P. Saini, L K Balyan, A. Kumar, GK Singh (2022) Modification of Chebyshev Pseudospectral method to minimize the Gibbs oscillatory behaviour in resynthesizing process, Circuits, Systems & Signal Processing Vol. 41, pp 6238-6265, 2022 https://doi.org/10.1007/s00034-022-02081-9 IF: 2.3
- H, Singh, A. Kumar, L K Balyan (2022) Fractional-order Differintegral based Multiscale Retinex Inspired Texture Dependent Quality Enhancement for Remotely Sensed Images, Multimedia Tools and Applications https://doi.org/10.1007/s11042-022-13265-5 IF 2.5
- P. Saini, L K Balyan, A. Kumar, GK Singh (2022) Comparative analysis of post-processing on spectral collocation methods for non-smooth functions, Signal, Image and Video Processing (SIVD) https://doi.org/10.1007/s11760-022-02219-x IF 2.157
- A. K Mittal, L K Balyan, M K Panda, P Shrivastava, H. Singh (2021), Pseudospectral analysis and approximation of two-dimensional fractional Cable equation, Mathematical Methods in the Applied Sciences 45(14), pp 8613-8630 https://doi.org/10.1002/mma.7362 IF: 1.62
- H. Singh, A. Kumar, L.K. Balyan and H.N. Lee (2021) “Spatial Entropy Quartiles based Texture Aware Fractional-order Unsharp Masking for Visibility Enhancement of Remotely Sensed Images,” IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(4) pp 2275-2288 https://doi.org/10.1109/TSMC.2021.3049402, IF 9.3
- A. Kumar, I Shrama, S. Viswakarma and L K Balyan (2021) A Novel Technique for Common Sub-expression Elimination for Digital FIR Filters using Hit and Miss Transform, Applied Acoustics, Volume 174 https://doi.org/10.1016/j.apacoust.2020.107793 IF 2.3
- A. K Mittal and L K Balyan (2021) Numerical solutions of time and space fractional coupled Burgers equations using time-space Chebyshev pseudospectral method. Mathematical Methods in the Applied Sciences, Volume 44(4), PP 3127-3137, https://doi.org/10.1002/mma.6592 IF 3.0
- A. Kumar, I Shrama and L K Balyan (2021) Design of low power multiplierless FIR filter with enhanced adder efficiency using flower pollination optimization, Applied Acoustics, Volume 174 https://doi.org/10.1016/j.apacoust.2020.107792 IF 2.3
- A K Mittal, L K Balyan (2020), Numerical solutions and stability analysis for solitary waves of complex modified korteweg-de vries equation using Chebyshev pseudospectral methods, Numerical Methods for Partial Differential Equations, Volume 36(6) pp. 1662-1681, IF: 3.56
- L K Balyan, A K Mittal, M. Kumar and M. Choube (2020) Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method, Maths & Comp in Simulations, Volume 117, PP 86-104, IF 3.6
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P. Saini, L K Balyan, A. Kumar, GK Singh (2023). Noise Reduction Through Thresholding Process Over the Space of Orthogonal Polynomials Proceeding of second International Conference on Computational Electronics for Wireless Communications, INDIA, June 9-10, 2022, Lecture Notes in Networks and Systems, vol 554. Springer, Singapore. https://doi.org/10.1007/978-981-19-6661-3_55 (Scopus) (Presented & Published)
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H. Singh, L K Balyan (2022), Spectral approximation for elliptic eigenvalue problems on non-smooth domains, 37th MP Young Scients Congres, jointly organized by M.P. Council of Science and Technology, Bhopal & Mahatma Gandhi Chitrakoot Gramodaya Vishwavidyalaya, Chitrakoot March 14-17, 2022 (Won First Prize and Rs. 25000/-)
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P. Saini, L K Balyan, A. Kumar, GK Singh (2022), “Performance Analysis of Different Filters For Gibbs Phenomenon Minimization: A Comparative Study”, IEEE 6th Conference on Information and Communication Technology (CICT) INDIA, November 18-20, 2022. pp. 1-5, doi: 10.1109/CICT56698.2022.9997955 (Scopus) (Presented & Published)
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H Singh, H Gupta, A Kumar, L K Balyan (2021), Fractional-order High-boost Filtering for Textural Improvement of Images using Relative Spatial Entropy Quartiles, International conference on control, Automation , Power and Signal Processing (CAPS), INDIA, December 10-12, 2021 pp. 1-6, doi: 10.1109/CAPS52117.2021.9730658 (Best Paper Award) (Scopus) (Presented & Published)
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A K Mittal, L K Balyan (2019), Time-space pseudospectral algorithm for numerical solution of Sine/Klein-Gordon equations, Int. conf. Advance basic Sciences (icabs19), Haryana, published by AIP conference proceedings, 2142, 170013, 2019. https://doi.org/10.1063/1.5122610 (Scopus) (Presented & Published)
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R. Silpasai, S.V.R. Kommuri, H. Singh, A. Kumar and L.K. Balyan (2019) “Optimal Gamma Correction based Gaussian Unsharp Masking Framework for Enhancement of Histopathological Images,” 8th IEEE International Conference on Communication and Signal Processing (ICCSP), April 4-6, Melmaruvathur, Chennai, India, pp. 0460-0464, 2019. .(Scopus) (Presented & Published)
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A. Kumar, S.V.R. Kommuri, H. Singh, A. Kumar and L.K. Balyan (2019) “Piecewise Gamma Corrected Weighted Framework for Fuzzified Dynamic Intensity Equalization for Optimal Image Enhancement,” 8th IEEE International Conference on Communication and Signal Processing (ICCSP), April 4-6, Melmaruvathur, Chennai, India, pp. 0475-0479, 2019. .(Scopus) (Presented & Published)
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P. S. Reddy, S.V.R. Kommuri, H. Singh, A. Kumar and L.K. Balyan (2019) “Gamma Corrected Fusion Framework of Dominant Orientation and Edge based Textural Histogram Equalization for Image Enhancement,” 8th IEEE International Conference on Communication and Signal Processing (ICCSP), April 4-6, Melmaruvathur, Chennai, India, pp. 0480-0484, 2019. .(Scopus) (Presented & Published)
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P. S. Reddy, S.V.R. Kommuri, H. Singh, A. Kumar and L.K. Balyan (2019) “Gamma Corrected Fusion Framework of Dominant Orientation and Edge based Textural Histogram Equalization for Image Enhancement,” 8th IEEE International Conference on Communication and Signal Processing (ICCSP), April 4-6, Melmaruvathur, Chennai, India, pp. 0480-0484, 2019. .(Scopus) (Presented & Published)
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N. Sajwan, A. Kumar I. Sharma and L. K. Balyan (2019) “Performance of Multiplierless FIR Filter based on CSD and Binary: A Comparative Study.” International Conference on Signal Processing and Communication (ICSC), Noida, March 7-9, pp. 217-222, 2019 doi:10.1109/ICSC45622.2019.8938282 (Scopus) (Presented & Published)
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H. Singh, A. Kumar, L. K. Balyan and H. N. Lee (2018) "Piecewise Gamma Corrected Optimally Framed Grumwald-Letnikov Fractional Differential Masking for Satellite Image Enhancement," 7th IEEE International Conference on Communication and Signal Processing (ICCSP), Chennai, India, 2018, pp. 0129-0133. .(Scopus) (Presented & Published)
M. Tech./M.Des.
| Roll no | Name | Status | Year | Specialization | Co-guide |
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Ph. D.
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