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M. Guru Prem Prasad

Professor

+91 (0)361 258 2608    mgpp ◊ iitg ⋅ ac ⋅ in

Research Area: Complex Dynamics and Fractals
Room No: E-207
Personal Website | IRINS Profile

Department Responsibilities:
DPPC, Member
Faculty Advisor, M.Sc. (M & C) 2023

Research

Complex Dynamics, Fractals and its applications, Computational Complex Analysis

Education

Doctor of Philosophy

May 1998

IIT Kanpur

Thesis: Dynamics of certain Entire Functions arising from Separately Convergent Continued Fractions
Supervisor: Professor G. P. Kapoor

Master of Science (Mathematics)

April 1991
Madura College

Madurai Kamaraj University, Tamil Nadu, India

Bachelor of Science (Mathematics)

April 1989
Madura College

Madurai Kamaraj University, Tamil Nadu, India

B.Sc. (Mathematics): Madura College,  Madurai Kamaraj University   (April, 1989)Ph.D.: IIT Kanpur  (May, 1998)

M.Sc. (Mathematics): Madura College, Madurai Kamaraj University   (April, 1991)

B.Sc. (Mathematics): Madura College,  Madurai Kamaraj University   (April, 1989)

Experience

  • Professor: IIT Guwahati (30.11.2013 - Present)
  • Associate Professor: IIT Guwahati (08.11.2005 to 11.05.2010 and 24.05.2011 to 29.11.2013)
  • Associate Professor: IIT Jodhpur (12.05.2010 to 23.05.2011) On lien from IITG
  • Served at IIT Patna (July 2008 to June 2009), On Deputation from IITG to mentor IITP
  • Assistant Professor: IIT Guwahati (01.01.2001 to 07.11.2005)
  • Senior Lecturer: IIT Guwahati (26.03.1999 to 31.12.2000)
  • Lecturer: PSG College of Technology, Coimbatore (01.04.1998 to 13.01.1999)

Courses

Presently Teaching: (July-November 2024)

  • MA001 Preparatory Mathematics-I

Courses Taught:

Preparatory:

  • MA001 Preparatory Mathematics-I
  • MA002 Preparatory Mathematics - II

UG (B.Tech. and B.Des.):

  • MA101 Mathematics - I
  • MA102 Mathematics - II
  • MA201 Mathematics - III
  • MA224 Real Analysis (for B.Tech. M&C)
  • MA211M Real Analysis (for B.Tech.Minor)
  • CS201  Discrete Mathematics (at IIT Jodhpur for B.Tech. CSE)

PG (M.Sc., M.Tech. and Ph.D.):

  • MA521/541 Real Analysis (for M.Sc. M&C)
  • MA542 Differential Equations
  • MA543 Functional Analysis (First Part)
  • MA545 Complex Dynamics and Fractals
  • MA547 Complex Analysis
  • MA549 Topology
  • MA501* Discrete Mathematics (for M.Sc. M&C in 2000)
  • MA501 Advanced Engineering Mathematics (for M.Tech.)
  • MA642 Real Analysis (for Ph.D.)
  • MA741 Real and Complex Analysis (for Ph.D.)
  • MA741 Advanced Complex Analysis (for Ph.D.)
  • MA741 Complex Analysis (for Ph.D.)
  • MA742 Iteration Theory (for Ph.D.)

Courses Taught Earlier: Click here

Journal Publications

26. Priyanka T.M.C., Gowrisankar A., M. Guru Prem Prasad, Liang Y., Cao J., "Caputo Fractional Derivative of $\alpha$ fractal spline", Numerical Algorithms [2024] , http://dx.doi.org/10.1007/s11075-024-01875-z

25. Balasubramani N., M. Guru Prem Prasad, Natesan S., "

Fractal Quintic Spline Solutions for Singularly Perturbed Reaction-Diffusion Boundary-Value Problems

", Applied Numerical Mathematics , vol.202 ,pp.89-99, [2024] , http://dx.doi.org/10.1016/j.apnum.2024.04.015

24. Madhusudan Bera and M. Guru Prem Prasad, "Dynamics of two families of meromorphic functions involving hyperbolic cosine function", Indian J. Pure Appl. Math. , vol.52 (2) ,pp.384-394, [2021]

23. Md. Nasim Akhtar, M. Guru Prem Prasad, M. A. Navascues, R. N. Mohapatra, "New Fractal Functions on the Sphere", Eur. Phys. J. Spec. Top. , vol.230 ,pp.3755-3764, [2021] , https://doi.org/10.1140/epjs/s11734-021-00321-8

22. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Fractal quintic spline method for nonlinear boundary-value problems", Hacet. J. Math. Stat , vol.49 (6) ,pp.1885-1903, [2020]

21. Md. Nasim Akhtar, M. Guru Prem Prasad and G. P. Kapoor, "Image compression using fractal multiwavelet transform", J. Anal. , vol.28 (3) ,pp.769-789, [2020]

20. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Shape preserving alpha-fractal rational cubic splines", Calcolo , vol.57 (3) [2020]

19. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Fractal cubic spline methods for singular boundary-value problems,", Int. J. Appl. Comput. Math , vol.6 (2 paper no. 47) [2020]

18. Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, "More general fractal functions on the sphere", Mediterr. J. Math , vol.16 (6 paper no. 134) [2019]

17. Madhusudan Bera and M. Guru Prem Prasad, "Dynamics of two parameter family of hyperbolic sine like functions", J. Anal , vol.27 (3) ,pp.895-912, [2019]

16. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Fractal quintic spline solutions for fourth-order boundary-value problems", Int. J. Appl. Comput. Math , vol.5 (5 paper no. 130) [2019]

15. A. Gowrisankar and M. Guru Prem Prasad, "Riemann-Liouville calculus on quadratic fractal interpolation function with variable scaling factors,", J. Anal , vol.27 (2) ,pp.347-363, [2019]

14. Madhusudan Bera and M. Guru Prem Prasad,, "Fixed points and dynamics of two-parameter family of hyperbolic cosine like functions,", J. Math. Anal. Appl , vol.469 (2) ,pp.1070-1079, [2019]

13. N. Balasubramani, M.Guru Prem Prasad and S. Natesan, "Constrained and convex interpolation through rational cubic fractal interpolation surface,", Comput. Appl. Math , vol.37 (5) ,pp.6308-6331, [2018]

12. Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, "Box dimension of alpha-fractal functions with variable scaling factors in subintervals", Chaos Solitons Fractals , vol.103 ,pp.440-449, [2017]

11. Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, "Box dimension of alpha-fractal functions", Fractals , vol.24 (3) [2016]

10. Md. Nasim Akhtar, M. Guru Prem Prasad and M. A. Navascues, "Fractal Jacobi systems and convergence of Fourier-Jacobi expansions of fractal interpolation functions, Mediterr", J. Math. , vol.13 (6) ,pp.3965-3984, [2016]

9. M. Guru Prem Prasad and Md. Nasim Akhtar, "Fractal interpolation surfaces and perturbations on vertical scaling factors", Int. J. Nonlinear Sci , vol.21 (1) ,pp.3-12, [2016]

8. Tarakanta Nayak and M. Guru Prem Prasad, "Julia sets of Joukowski-exponential maps", Complex Anal. Oper. Theory , vol.8 (5) ,pp.1061-1075, [2014]

7. Tarakanta Nayak and M. Guru Prem Prasad, "Iteration of certain meromorphic functions with unbounded singular values", Ergodic Theory Dynam. Systems , vol.30 (3) ,pp.877-891, [2010]

6. M. Guru Prem Prasad and Tarakanta Nayak, "Dynamics of certain class of critically bounded entire transcendental functions", J. Math. Anal. Appl , vol.329 (2) ,pp.1446-1459, [2007]

5. M. Guru Prem Prasad, "Chaotic burst in the dynamics of $f_{\lambda}(z) =\lambda \frac{\sinh(z)}{z}$", Regul. Chaotic Dyn , vol.10 (1) ,pp.71-80, [2005]

4. Tarakanta Nayak and M. Guru Prem Prasad, "Bifurcation and chaotic burst in the dynamics of $\lambda e^{bz+ce^{z}}$,", J. Combin. Inform. System Sci , vol.28/29 (1-4) ,pp.211-226, [2003]

3. G. P. Kapoor and M. Guru Prem Prasad, "Chaotic burst in the dynamics of noncritically finite entire functions", Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.9 (6) ,pp.1137-1151, [1999]

2. G. P. Kapoor and M. Guru Prem Prasad, "Dynamics of $(e^{z}-1)/z$: the Julia set and bifurcation", Ergodic Theory Dynam. Systems , vol.18 (6) ,pp.1363-1383, [1998]

1. G. P. Kapoor and M. Guru Prem Prasad, "Growth of the numerator and denominator of separately convergent regular C-fractions", J. Anal , vol.3 ,pp.219-227, [1995]

Conference Publications

3. M.Guru Prem Prasad, Tarakanta Nayak and Ashis Kumar Roy, "Exploding Julia sets in the dynamics of $f_{\lambda}(z) =\lambda J_{1}(iz)/(iz)$", Proceedings of the third National conference on Non-linear Systems and Dynamics , Allied Publishers ,pp.171-176, [2006]

2. M.Guru Prem Prasad, Sandeep Dube and K. Sridharan, "An efficient Fractals-based algorithm for clustering", Convergent Technologies for the Asia-Pacific Region(TENCON) ,pp.244-246, [2003]

1. G. P. Kapoor, M. Sajid and M.Guru Prem Prasad, "Dynamics of Entire functions - A Review", 7th annual conference: Mathematical Analysis and Applications, Lucknow ,pp.37-51, [2000]

Current

1 Dr. Vijay (IPDF)

Completed

1 Dr. Abhilash Sahu
2 Dr. A. Gowrisankar

Current

1 Bikramjit Acharjee
2 Gaurav Kumar
3 Sudip Kumar (Part Time)

Completed

1 Tarakanta Nayak
2 Nasim Akhtar
3 N. Balasubramani
4 Madhusudan Bera

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