Ph.D. in Mathematics & Statistics

About

The Department of Mathematics was originally established in the year 1994 to offer Engineering Mathematics courses for both undergraduate (B. Tech.) and post-graduate (M. Tech., MCA) programs. From 2003 onwards, the department started offering elective courses for undergraduate and postgraduate program and also advanced courses for Ph. D. programs.

From 2004, the Department has been offering Ph.D. programs in Graph Theory, Multi-wavelet Transforms, Magneto Hydrodynamics, Lie Algebra Bundles, Cryptography, Statistics, Dynamical systems and Fractional Calculus. The Department has a team of highly qualified faculty members with Ph. D., with specialization in recent and advanced fields in Analysis, Algebra, Fluid Mechanics, Statistics, Six Sigma, Numerical Analysis, Number Theory, Differential equations etc. The Department has organized several International and National Conferences with paper presentations and invited talks of high quality. The Department has to its credit a good number of research papers published in refereed International and National Journals.

Program Overview

Research Areas under the program

Department has been offering Ph.D. programs in

Graph Theory,
Multi-wavelet Transforms,
Magneto Hydrodynamics,
Lie Algebra Bundles,
Cryptography,
Statistics,
Dynamical systems
Fractional Calculus.

Achievements

Publications

Sl. No.	Year of Publication	Faculty	Type	Details	Co Authors
1	2022 March	K. Somasundaram	Journal	“Direct sum of star matrices”, Journal of Analysis and Applications, Vol. 20 (2022), No.1, pp.69-80	K.U. Divya and K. Somasundaram,
2	2022 January	K. Somasundaram	Journal	“Influence of Interface trap distributions over the device characteristics of AlGaN/GaN/AlInN MOS-HEMT using Cubic Spline Interpolation technique”, International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, DOI: 10.1002/jnm.2936	Rameshbabu A., Viswanathan S., Pravin C., Pavithran P
3	2022 January	Dr. T. Palanisamy. P. Paramanathan	Journal	“A Study on the Effect of Thresholding Enhancement for the Classification of Texture Images”, Journal of The Institution of Engineers (India): Series B, DOI: 10.1007/s40031-021-00610-9	T. Palanisamy. P. Paramanathan Osheima Sony
4	2022 February	Rakshit, B.	Journal	“Dynamical robustness in presence of attractive-repulsive interactions”, Chaos, Solitons and FractalsVolume 156March 2022 Article number 111823, DOI: 10.1016/j.chaos.2022.111823	Sharma, A., Rakshit, B.
5	2022 February	Prasad Goura V.M.K	Journal	“A superconvergent B-spline technique for second order nonlinear boundary value problems”, Applied Mathematics and Computation, Volume 4141, February 2022, Article number 126615, DOI: 10.1016/j.amc.2021.126615.	Roul P., Prasad Goura V.M.K
6	2022 February	Prasad Goura V.M.K.	Journal	“An efficient numerical method based on redefined cubic B-spline basis functions for pricing Asian options”, Journal of Computational and Applied Mathematics, Volume 401, February 2022 Article number 113774, DOI: 10.1016/j.cam.2021.113774	Roul P., Prasad Goura V.M.K
7	2022 March	K. Somasundaram	Journal	“Some Results on Majorization of Matrices” Axioms 23rd March 2022, 11(4), 146; DoI.org/10.3390/axioms11040146.	K.U. Divya and K. Somasundaram
8	2022 March	K. Somasundaram	Journal	“Total colorings of certain classes of lexicographic product graphs”, Discrete Mathematics, Algorithms and Applications, Vol.14, No.3, (2022) 2150129 DOI: 10.1142/S1793830921501299	Sandhiya T.P., Geetha J., Somasundaram K.
9	2022 Accepted	J. Mahalakshmi, Santhakumar S	Journal	“Unit Zq-Simplex Codes of type α and Zero divisor Zq-Simplex Codes”, Communications in Combinatorics and Optimization.	J MAHALAKSHMI,J Prabu,S Santhakumar
10	2022 Published on Line May 2022	Rameshbabu A.	Journal	Investigation of Quantum Mechanical Effects in Back Gated Molybdenum Disulfide Transistor, Silicon	Rameshbabu A., Charles Pravin, Ashok Kumar S, Sridevi
11	2022 May	A. Vinodkumar	Journal	A Mathematical Analysis on the New Fractal-Fractional Model of Second-Hand Smokers via the Power Law Type Kernel: Numerical Solutions, Equilibrium Points, and Sensitivity Analysis	S. Rezapour, S. Etemad, M. Sinan, J. Alzabut, A. Vinodkumar
12	2022 January	Praveen .I	Conference	“Proxy Re-Encryption Using Vector Decomposition”, Lecture Notes in Electrical Engineering Volume 790, Pages 1041 – 10482022 6th International Conference on Emerging Research in Computing, Information, Communication and Applications, ERCICA 2020Bangalore 25 September 2020 through 26 September 2020Code 268739., 10.1007/978-981-16-1342-5_82	Kaviya AU & Praveen .I

Funded Projects

Project Completed
Sl. No.	Project Title	Funding Agency	Year	Amount (in Rupees)
1	Total Coloring Cojecture for Certain Classes of Graphs	NBHM	2014	1.35 Lakhs
2	Behzad – Vizing Conjecture on Graph Coloring for Product Graphs	DST-SERB	2015	11.40 Lakhs
3	Stability and Stabilization of Random Impulsive Control systems	DST-SERB	2015	11.66 Lakhs
Ongoing Project
Sl. No.	Project Title	Funding Agency	Year	Amount (in Rupees)
1	Best proximity point iteration for various types of non self mappings	NBHM	2017	12.81 Lakhs
2	Total Coloring for Certain Classes of Cayley Graphs	DST-SERB	2018	18.45 Lakhs
3	On Punctured Codes of Zq-Simplex Codes	NBHM	2019	13.92 Lakhs
4	Extensions of Wavelet Packet transform to generalized functions	SERB CORE	2019	19.64 Lakhs
5	Studies on Qualitative Properties of Single and Multivalued Fractional Stochastic Differential Equations of Higher Order	NBHM	2020	14.88 Lakhs
Total 1.04 Crore