Dr. Munish Kansal

Assistant Professor

Specialization

Numerical Analysis & Numerical Linear Algebra

Email

munish.kansal@thapar.edu

Specialization

Numerical Analysis & Numerical Linear Algebra

Email

munish.kansal@thapar.edu

Contact No.

+91-9855-087-206

Assistant Professor

munish.kansal@thapar.edu, mkmaths@gmail.com

Biography

Dr. Munish Kansal is working as an Assistant Professor in the Department of Mathematics (DOM), Thapar Institute of Engineering & Technology (TIET), Patiala, since July 2018. He received his Ph.D. degree from the Department of Mathematics, Panjab University, Chandigarh, in 2017. His broad area of research is mathematical analysis of nonlinear equations, dynamical analysis, matrix analysis, and computation of various generalized inverses in numerical linear algebra.

Education

  • Ph.D. (Mathematics) from Panjab University, Chandigarh
  • M.Sc. (Hons. School) from Panjab University, Chandigarh
  • B.Sc. (Hons. School) from Panjab University, Chandigarh

Experience: Total Teaching Experience: More than 11 years

  • Assistant Professor: Department of Mathematics, Thapar Institute of Engineering and Technology (Deemed to be University), Patiala, India from July, 2018 to Present.
  • Assistant Professor: Department of Applied Sciences, University Institute of Engineering and Technology, Panjab University, Chandigarh from 2013 to 2018.

Teaching Interests:

  • Engineering Mathematics-I, II, III
  • Numerical Analysis
  • Linear Algebra and Operations Research
  • Complex Analysis
  • Computer Programming: MATLAB
  • Matrix Computation
  • Numerical and Statistical Methods

Research Interest:

  • Matrix sign function
  • Generalized Inverses
  • Outer Inverses
  • Stability and Bifurcation Analysis
  • Numerical solutions of nonlinear equations and systems of nonlinear equations
  • Dynamical Analysis

Publications (SCIE: 31 & Scopus/Non-SCI: 17 )

Journals

For more details, see: https://sites.google.com/thapar.edu/dr-munish-kansal/research

  1. Himani Sharma, Munish Kansal (2024). Stability analysis and dynamical behavior of optimal mean-based iterative methods. Journal of Mathematical Chemistry (Springer), 1-23. DOI: 10.1007/s10910-024 01674-w (SCIE, I.F. 1.7)
  2. Pallvi Sharma, Munish Kansal (2024): An efficient iterative method for matrix sign function with application in stability analysis of control systems using spectrum splitting. Mathematical Methods in the Applied Sciences (Wiley). DOI: 10.1002/mma.10077 (SCIE, I.F. 2.1)
  3. Munish Kansal, Vanita Sharma, Pallvi Sharma, Lorentz Jantschi (2024): A Globally Convergent Iterative Method for Matrix Sign Function and Its Application for Determining the Eigenvalues of a Matrix Pencil. Symmetry (MDPI), 16(4), 481. DOI: 10.3390/sym16040481 (SCIE, I.F. 2.2)
  4. Himani Sharma, Ramandeep Behl, Munish Kansal, Higinio Ramos (2024): A robust iterative family for multiple roots of nonlinear equations: Enhancing accuracy and handling critical points. Journal of Computational and Applied Mathematics (Elsevier), 444, 115795. DOI: 10.1016/j.cam.2024.1 15795 (SCIE, I.F. 2.1)
  5. Pallvi Sharma, Munish Kansal (2024): Extraction of deflating subspaces using disk function of a matrix pencil via matrix sign function with application in generalized eigenvalue problem. Journal of Computational and Applied Mathematics (Elsevier), 442, 115730. DOI: 10.1016/j.cam.2023.115730 (SCIE, I.F. 2.1)
  6. Munish Kansal, Himani Sharma (2023): Analysis of optimal iterative methods from a dynamical point of view by studying their stability properties. Journal of Mathematical Chemistry (Springer), 62, 198–221. DOI: 10.1007/s10910-023-01523-2 (SCIE, I.F. 1.7)
  7. Munish Kansal, Litika Rani (2023): An adaptive Steffensen-like families for solving nonlinear systems using frozen divided differences. Journal of Mathematical Chemistry (Springer), 62, 109–144. DOI: 10.1007/s109 10-023-01524-1 (SCIE, I.F. 1.7)
  8. Munish Kansal, Manpreet Kaur, Litika Rani, Lorentz Jantschi (2023): A cubic class of iterative procedures for finding the generalized inverses. Mathematics (MDPI), 11(13), 3031. DOI: 10.3390/math11133031 (SCIE, I.F. 2.3)
  9. Himani Sharma, Munish Kansal, Ramandeep Behl (2023): An Efficient optimal derivative-free fourth-order method and its memory variant for non-linear models and their dynamics. Mathematical and Computational Applications (MDPI), 28(2), 42. DOI: 10.3390/mca28020048 (Scopus, I.F. 1.9)
  10. Munish Kansal, Litika Rani (2023): Globally convergent iterative scheme for computing matrix sign function with numerical stability. Mathematical Methods in the Applied Sciences (Wiley), 1–15. DOI: 10.1002/mma.9212 (SCIE, I.F. 2.1)
  11. Himani Sharma, Munish Kansal (2023): A modified Chebyshev-Halley type iterative family with memory for solving nonlinear equations and its stability analysis. Mathematical Methods in the Applied Sciences (Wiley), 46, 12549–12569 (SCIE). DOI: 10.1002/mma.9197 (SCIE, I.F. 2.1)
  12. Litika Rani, Munish Kansal (2023): Numerically stable iterative methods for computing matrix sign function. Mathematical Methods in the Applied Sciences (Wiley). DOI: 10.1002/mma.9004 (SCIE, I.F. 2.1)
  13. Himani Sharma, Munish Kansal, Ramandeep Behl (2022): An Efficient Two-Step Iterative Family Adaptive with Memory for Solving Nonlinear Equations and Their Applications. Mathematical and Computational Applications (MDPI), 27 (6), 97. DOI: 10.3390/mca27060097 (Scopus, I.F. 1.9)
  14. Litika Rani, Fazlollah Soleymani, Munish Kansal, Hemant Kumar Nashine (2022): An optimized Chebyshev–Halley type family of multiple solvers: Extensive analysis and applications. Mathematical Methods in the Applied Sciences (Wiley), 2022, 1-19. DOI: 10.1002/mma.8699 (SCIE, I.F. 2.1)
  15. Munish Kansal, Sanjeev Kumar, Manpreet Kaur (2022): An efficient matrix iteration family for finding the generalized outer inverse. Applied Mathematics and Computation (Elsevier), 430, 127292. DOI: 10.1016/j.amc.2022.127292 (SCIE, I.F. 3.5)
  16. Litika Rani, Munish Kansal (2022): An optimal derivative-free King’s family for multiple zeros and its dynamics. Engineering Computations (Emerald), 39(6) 2367-2390. DOI: 10.1108/EC-08-2021-0449 (SCIE, I.F. 1.5)
  17. Manpreet Kaur, Sanjeev Kumar, and Munish Kansal (2021): New derivative-free iterative family having optimal convergence order sixteen and its applications. Engineering Computations (Emerald), 39(3), 965-992. DOI: 10.1108/EC-03-2021-0155 (SCIE, I.F. 1.5)
  18. Munish Kansal, Alicia Cordero, Sonia Bhalla, and Juan R. Torregrosa (2021): New fourth-and sixth-order classes of iterative methods for solving systems of nonlinear equations and their stability analysis. Numerical Algorithms (Springer) 87(3), 1017-1060. DOI: 10.1007/s11075-020-00997-4 (SCIE, I.F. 1.7)
  19. Raj Bala, Munish Kansal and Vinay Kanwar (2021): An optimal class of fourth-order multiple root finders of Chebyshev-Halley type and their basins of attraction. International Journal of Computing Science and Mathematics (InderScience), 14(1), 17-35. DOI: 10.1504/IJCSM.2021.118074 (Scopus)
  20. Manpreet Kaur, Munish Kansal, Sanjeev Kumar, (2021): An Efficient Matrix Iterative Method for Computing Moore–Penrose Inverse. Mediterranean Journal of Mathematics (Springer), 18(2), 1-21. DOI: 10.1007/s00009-020-01675-4 (Impact factor: 1.1)
  21. Munish Kansal, Alicia Cordero, Sonia Bhalla, Juan R. Torregrosa (2020): Memory in a New Variant of King’s Family for Solving Nonlinear Systems. Mathematics (MDPI), 8(8), 1251. DOI: 10.3390/math8081251 (SCIE, I.F. 2.3)
  22. Munish Kansal, Alicia Cordero, Juan R. Torregrosa, Sonia Bhalla (2020): A stable class of modified Newton-like methods for multiple roots and their dynamics. International Journal of Nonlinear Sciences and Numerical Simulation (De Gruyter), 21(6), 63-621. DOI: 10.1515/ijnsns-2018-0347 (SCIE, I.F. 2.1)
  23. Manpreet Kaur, Munish Kansal (2020): An efficient class of iterative methods for computing generalized outer inverse M_(T,S)^((2)). Journal of Applied Mathematics and Computing (Springer), 64 (1), 709-736. DOI: 10.1007/s12190- 020-01375-y (SCIE, I.F. 2.4)
  24. Munish Kansal, Ali Saleh Alshomrani, Sonia Bhalla, Ramandeep Behl, Mehdi Salimi (2020): One parameter optimal derivative-free family to find the multiple roots of algebraic nonlinear equations. Mathematics (MDPI), 8(12), 2223. DOI: 10.3390/math8122223 (SCIE, I.F. 2.3)
  25. Ramandeep Behl, Munish Kansal, Mehdi Salimi (2020): Modified King’s Family for Multiple Zeros of Scalar Nonlinear Functions. Mathematics (MDPI) 8(5), 827. DOI: 10.3390/math8050827 (SCIE, I.F. 2.3)
  26. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2020): Ball convergence for a three-point method with optimal convergence order eight under weak conditions. Asian-European Journal of Mathematics (World Scientific), 13(2). DOI: 10.1142/S1793557120500485 (Scopus, I.F. 0.5)
  27. Manpreet Kaur, Munish Kansal, Sanjeev Kumar (2020): An efficient hyperpower iterative method for computing weighted Moore–Penrose inverse. AIMS Mathematics (AIMS), 5(3), 1680-1692. DOI: 10.3934/math.2020113 (SCIE, I.F. 1.8)
  28. Hessah Faihan Alqahtani, Ramandeep Behl, Munish Kansal (2019): Higher-Order Iteration Schemes for Solving Nonlinear Systems of Equations. Mathematics (MDPI), 7(10), 937. DOI: 10.3390/math7100937 (SCIE, I.F. 2.3)
  29. R. A. Alharbey, Munish Kansal, Ramandeep Behl, J. A. Tenreiro Machado (2019): Efficient Three-Step Class of Eighth-Order Multiple Root Solvers and Their Dynamics. Symmetry (MDPI), 11(7), 837. DOI: 10.3390/sym11070837 (SCIE, I.F. 2.2)
  30. Munish Kansal, Ramandeep Behl, Mohammed Ali A. Mahnashi, Fouad Othman Mallawi (2019): Modified Optimal Class of Newton-Like Fourth-Order Methods for Multiple Roots. Symmetry (MDPI), 11(4), 526. DOI: 10.3390/sym11040526 (SCIE, I.F. 2.2)
  31. Ioannis K. Argyros, Munish Kansal, Vinay Kanwar (2018): Ball convergence for an Aitken-Newton method. Journal of Numerical Analysis and Approximation Theory, 47(2), 114-123. DOI: 10.33993/jnaat472-1082 (Scopus)
  32. Ioannis K. Argyros, Munish Kansal, Vinay Kanwar, Sugandha Bajaj (2017): Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations. Applied Mathematics and Computation (Elsevier), 315, 224–245. DOI: 10.1016/j.amc.2017.07.051 (SCIE, I.F. 3.5)
  33. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2017): Ball convergence of a stable fourth-order family for solving nonlinear systems under weak conditions. Studia Universitatis Babes-Bolyai, Mathematica, 62 (1), 127–135. DOI: 10.24193/subbmath.2017.0010 (ESCI, I.F. 0.4)
  34. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2017): Ball convergence for two optimal eighth-order methods using only the first derivative. International Journal of Applied and Computational Mathematics (Springer) 3(3), 2291–2301. DOI: 10.1007/s40819-016-0196-1 (Scopus)
  35. V. Kanwar, Raj Bala, Munish Kansal (2017): Some new weighted eighth-order variants of Steffensen-King’s type family for solving nonlinear equations and its dynamics. SeMA (Springer), 74, 75-90. DOI: 10.1007/s40324-016-0081-1 (Scopus)
  36. Munish Kansal, V. Kanwar, Saurabh Bhatia (2016): Optimized mean based second derivative-free families of Chebyshev-Halley type methods. Numerical Analysis and Applications (Springer), 19(2), 167–181. DOI: 10.1134/S199542391602004X (Scopus, I.F. 0.4)
  37. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016): On the local convergence of an eighth-order method for solving nonlinear equations. Annals of West University of Timisoara-Mathematics and Computer Science, 1, 3–16. DOI: 10.1515/awutm -2016-0001
  38. Munish Kansal, V. Kanwar and Saurabh Bhatia (2016): Efficient derivative-free variants of Hansen Patrick’s family with memory for solving nonlinear equations. Numerical Algorithms (Springer), 73(4), 1017-1036. DOI: 10.1007/s11075-016-0127-6 (SCIE, I.F. 1.7)
  39. Ioannis K. Argyros, Munish Kansal (2016): Unified local convergence for a certain family of methods in Banach space, SeMA (Springer), 73, 325–334. DOI: 10.1007/s40324-016-0071-3. (Scopus)
  40. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016): Local convergence for multipoint methods using only the first derivative. SeMA (Springer), 73, 369–378. DOI: 10.1007/s40324- 016-0075-z (Scopus)
  41. Alicia Cordero, Munish Kansal, V. Kanwar and Juan R. Torregrosa (2016): A stable class of improved second-derivative free Chebyshev-Halley type methods with optimal eighth order convergence. Numerical Algorithms (Springer), 72(4), 937-958. DOI: 10.1007/s11075-015-0075-6 (SCIE, I.F. 1.7)
  42. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016).: Ball convergence for Ostrowski-like method with accelerated eighth order convergence under weak conditions. International Journal of Advances in Mathematics, 1, 17–25 (Scopus)
  43. Ioannis K. Argyros, Munish Kansal, V. Kanwar (2016).: Ball convergence for two and three-point methods with memory based on Hermite interpolation. International Journal of Advances in Mathematics, 1, 26–36 (Scopus)
  44. Munish Kansal, V. Kanwar and Saurabh Bhatia (2015): New modifications of Hansen-Patrick’s family with optimal fourth and eighth orders of convergence. Applied Mathematics and Computation (Elsevier), 269, 507–519. DOI: 10.1016/j.amc.2015.07.101 (SCIE, I.F. 3.5)
  45. V. Kanwar, Sanjeev Kumar, Munish Kansal, Arvind Garg (2015): Efficient families of Newton’s method and its variants suitable for non-convergent cases. Afrika Matematika (Springer), 27, 767–779. DOI: 10.1007/s13370-015-0376-x (Scopus, I.F. 0.9)
  46. Munish Kansal, Vinay Kanwar and S. Bhatia (2015): On some optimal multiple root-finding methods and their dynamics. Applications and Applied Mathematics, An International Journal (AAM), 10(1), 349–367. DOI: https://digitalcommons.pvamu.edu/aam/vol10/iss1/22/ (ESCI)
  47. Munish Kansal, Vinay Kanwar, Saurabh Bhatia (2015): An Optimal Eighth-Order Derivative Free Family of Potra-Pták’s Method. Algorithms (MDPI), 8(2), 309–320. DOI: 10.3390/a8020309 (Scopus, I.F. 1.8)
  48. Vinay Kanwar, Saurabh Bhatia, Munish Kansal (2013): New optimal class of higher-order methods for multiple roots, permitting f’(x_n) = 0. Applied Mathematics and Computation (Elsevier), 222, 564–574. DOI: 10.1016/j.amc.2013.06.097 (SCIE, I.F. 3.5)

Full Papers in Conferences Proceedings

  1. Ioannis K Argyros, Munish Kansal, V. Kanwar, Raj Bala (2017): An efficient class of fourth-order Jarratt-type methods for nonlinear equations, Proceedings of the International Conference on Computational Methods, vol. 4, (Guilin, Guangxi, China)
  2. Munish Kansal, V. Kanwar, Saurabh Bhatia (2015): Efficient derivative-free with memory variants of King’s family for solving nonlinear equations, published in IEEE under the title of 2nd International Conference on Recent Advances in Engineering and Computational Sciences, held on Dec. 21–22, 2015, at UIET, Panjab University, Chandigarh
  3. Munish Kansal, V. Kanwar, Saurabh Bhatia: On improved Steffensen type methods with optimal eighth-order of convergence, Proceedings of National Seminar on Advances in Applied Mathematics and Mechanics (NSAAMM), 12–13, March, 2015 (Sponsored by UGC, New Delhi)

Book chapters in Conferences Proceedings

  1. Ramandeep Behl, S.S. Motsa, Munish Kansal, V. Kanwar (2014): Fourth-order derivative-free optimal families of King’s and Ostrowski’s methods, Mathematical Analysis and its Applications, Springer proceedings in Mathematics and Statistics. (Editors: P.N. Agarwal, R.N. Mohapatra, Uaday Singh, H.M. Srivastava), (Reviewed by American Mathematical Society)

Paper Presented in International Conferences

  1. Presented a paper entitled “A numerically stable iterative method for computing the matrix sign function with application in the generalized eigenvalue problem ” held on July 03-05, 2024, International Conference on Recent Advances in Applied Mathematics, IIT BHU, Varanasi.
  2. Presented a paper entitled “Globally convergent iterative method for evaluating matrix sign func tion” held on August 20-25, 2023, International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo.
  3. Presented a paper entitled “A general class of matrix iterative methods for computing generalized outer inverse” in 23rd Punjab Science Congress on Emerging Trends in Science & Technology for Sustainable Development held on 7-9 February, 2020 at Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur
  4. Presented a paper entitled “A general class of matrix iterative methods for computing generalized outer inverse” in International Conference On Mathematical Analysis and its Applications (ICMAA) held during 14-16 December, 2019 at South Asian University, New-Delhi
  5. Presented a paper entitled “New fourth and sixth-order iterative schemes for solving systems of nonlinear equations and their applications” in 2nd International Conference on Mathematical Modelling, Applied Analysis and Computation, held on 08-10 August, 2019, at JECRC University, Jaipur
  6. Presented a paper entitled “Efficient derivative-free with memory variants of King’s family for solving nonlinear equations” in 2nd International Conference on Recent Advances in Engineering and Computational Sciences, held on Dec. 21–22, 2015, at UIET, Panjab University, Chandigarh and made an oral paper presentation
  7. Presented a paper entitled “A new optimal class of Steffensen type higher order methods and their basins of attractions” in 12th International Conference held on 30 January–01 February, 2015, at Punjabi University, Patiala
  8. Presented a paper entitled “Fourth-order derivative free families of King’s and Ostrowski’s methods” in International conference (ICRTMAA-2014), organized by IIT-Roorkee during December 21-23, 2014
  9. Presented a paper entitled “Optimized Mean based Second-Derivative free families of Chebyshev Halley type methods” in 8th Chandigarh Science congress CHASCON-2014 during 26-28th Feb, 2014
  10. Presented Poster on Fibonacci numbers and golden ratio in nature on National Mathematics day held in the Department of Mathematics, Panjab University, Chandigarh on 10th April, 2012

Achievement, Awards and Recognitions

  • Awarded ITS by DST-SERB for attending the 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023) at Waseda University, Tokyo, Japan, August 20-25, 2023.
  • Best Research Paper Award by UIET, Panjab University, Chandigarh, 2016.
  • Cleared UGC-NET (AIR-62) in 2012
  • Awarded Junior Research Fellowship (JRF-NET) by Council of Scientific and Industrial Research (CSIR), India (AIR-44) in 2009

Academic and Administrative responsibilities

  • Serving as Warden of Boys Hostel in TIET, Patiala .
  • Served as a “Member of Organizing Committee” of TEQIP sponsored programme on Aspects and Applications of Research Methodology in Science and Engineering (AARMSE)” held at the University Institute of Engineering and Technology (UIET), from 08-13 July 2013.
  • Served as a “Member of Publication Committee” of the International conference on ‘Recent Advances in Engineering and Computational Sciences’ (RAECS), held on Dec. 21–22, 2015, at UIET, Panjab University, Chandigarh.
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