The second edition of International Conference on Mathematical Techniques and Applications (e-ICMTA-2021), a three day event, took place from 24th March to 26thof March. The virtual conference, first of its kind hosted by the Department of Mathematics witnessed good response from the delegates. Despite the prevailing Covid-19 pandemic, the management and sponsors Vishwa & Devji and Institutions Innovations Council were gracious to support the event. The inaugural ceremony of the ICMTA 2021 on “Mathematical techniques and its applications” commenced with “Tamilthai vazhthu”. Dr. A. Govindarajan, Professor and head welcomed all the dignitaries and participants from various parts of the country. He mentioned about the significance of Virtual conference at this pandemic situation and its aim. Dr.Neppolian, Dean (Research) gave the presidential address and he explained about the research activities of SRMIST in detail. He highlighted the innovations and achievements of SRMIST in the research platform. Dr. N. Parvathi introduced the chief guest, Shri G. Grahadurai, Deputy Director, Satish Dhawan Space Centre (SDSC) SHAR-ISRO. The inaugural address was delivered by the chief guest, Shri G. Grahadurai. The inseparable relation between Mathematics and Space science was well interpreted by him. In his speech, he briefly explained the applications of mathematics in space as it is used in global positioning of satellite systems. This was followed by the release of the conference e-proceedings by Dean CET. One of the coordinators Dr. E. P. Siva delivered the vote of thanks.
The conference included keynote speakers and invited talks by the eminent invited speakers around the world in virtual mode using Google meet platform. The resource persons were from premier institutes in India and abroad such as - Bursa Uludag University-Turkey, University of Haifa-Israel, Qassim University-Saudi Arabia, Bandung Institute of Technology-Indonesia, Academia Militar, Amadora-Portugal, IIT Madras, IIT Bombay, IIT Patna, NIT Warangal, NIT Uttarakhand, Hadia institute of technology, Haldia.
On the first day, there were four invited talks. Professor Ismail Naci Cangul from Bursa Uludag University gave a talk on the topic “Graphs produced by number sequences”. In his talk, he introduced a new graph invariant for a given degree sequence. This new invariant has close relation with the well-known Euler characteristic and cyclomatic number of a graph. It helps one to find many algebraic, graph theoretical, number theoretical, topological and combinatorial properties of all the realizations of the given degree sequence including cyclicity, connectivity, numbers of components, multiple edges, loops, cycles, chords, pendant and support vertices, etc. Professor G. K. Srinivasan from Department of Mathematics, Indian Institute of Technology Bombay was the second speaker for the day. He gave a talk on the topic
“The Gamma Function: An Eclectic Tour.” In his talk, he has given a brief overview of Gamma functions, Beta functions and recent research based on these topics. This was followed by the lecture on “Interactions between Algebraic Structures and Graphs”. Professor Intan Muchtadi from Bandung Institute of Technology, Bandung, Indonesia in this talk, illustrated how algebraic structures are represented in graphs and how these graph representations are used to study the algebraic structures. The fourth and final speaker of the first day, Professor Prashant Kumar Srivastava from the Department of Mathematics, Indian Institute of Technology Patna spoke on the topic “Nonlinear Dynamics of an Infectious Disease Model”. He discussed a mathematical model with a saturated treatment rate in the presence of information. He concluded that if information dissemination is delayed beyond a threshold time then the infection oscillates in population and it may lead to difficulty in controlling the disease.
The conference hosted five talks on the second day. Professor Dipak Kumar Jana from Department of Applied Science, Haldia Institute of Technology, Haldia was the debut speaker of the second day. He lectured on the topic “Type-2 Fuzzy Set and Type 2 Fuzzy Logic and its Industrial Applications”., Three kinds of critical values (CVs) for a regular fuzzy variable (RFV) were given by him and proposed three novel methods of reduction for a type-2 fuzzy variable. He also presented a new approach to predict the quality of polypropylene in petrochemical plants with some relation with Haldi river. Professor Deepak Kumar Jana was followed by the Professor Krishnan Sivasubramanian from Department of Mathematics, Indian Institute of Technology Bombay. He gave a talk on the topic “Gamma positivity of the Excedance based Eulerian polynomial in A_n.” In his talk, he has considered enumerating excedances over the alternating group A_n and considered expanding this polynomial in the gamma-basis. He showed that these polynomials are palindromic iff $n$ is odd. In third talk of the second day, Professor Krishna Pada Das from Department of Mathematics, Mahadevananda Mahavidyalaya, Manirampore, West Bengal gave a talk on the topic “A study of chaos and its centralization in different ecological and epidemiological models”. In fourth talk of the second day, Professor Dharmendra Tripathi from Department of Mathematics, National Institute of Technology, Uttarakhand gave a talk on the topic “Non-Newtonian fluids flow model with Rhythmic Membrane Contraction”. In his talk, he introduced various types of non-Newtonian fluids models like power law fluids, viscoplastic fluids, viscoelastic fluids and pumping mechanisms involved in physiological fluids transport. In fifth and final talk of the second day, Professor Mohammad Sajid from College of Engineering, Qassim University, Saudi Arabia who visited recently Einstein’s residence in Switzerland gave a talk on the topic “Fractals in Differential and Difference Equations”. The talk gave the audience an overview of fractals as well as demonstrated fractals using difference and differential equations.
In the third and concluding day, there were 4 invited talks. Professor Toufik Mansour from Department of Mathematics, University of Haifa, Israel gave an interesting talk on the topic “Bounds on Vertex based topological indices”. In second talk of today, Professor P. Muthu from Department of Mathematics, National Institute of Technology, Warangal spoke on the topic “¬¬¬-Mathematical models of physiological fluid flows.” In his talk, he discussed about mathematical models of certain physiological fluid flows such as (i) flow in renal tubule (ii) solute transfer in glomerular capillaries and (iii) synovial joint lubrication. He presented an overview of various computational methods used to solve these problems. In third talk, Professor A. K. B. Chand from Department of Mathematics, Indian Institute of Technology Madras gave an excellent talk on his recent work on the topic “Cyclic Iterated Function Systems”. He discussed new type of iterated function systems (IFSs) consisting of cyclic contractions and cyclic phi-contractions. In fourth talk of the third day, Professor Sandra Pinelas from Department of Exact Sciences and Engineering, Academia Militar, Portugal gave a talk a wonderful talk on the topic, “Mixed type difference equation: The challenge”. In her talk, she presented the stability behavior of the solutions of linear difference equation of mixed type and the oscillatory behavior of the mixed type difference equation with variable coefficients. This ended the invited speaker’s sessions.
The conference witnessed 13 speakers from across the globe, Indonesia, Portugal, Israel, Saudi Arabia to mention a few. Around 400 research papers out of nearly 500 were selected for presentation after peer review. The paper presentations by the delegates took place in four parallel sessions through Google meet organized on all the three days of the conference. The faculty members, post graduate and graduate students of the Department also showcased their research work by virtual presentations which won the appreciation of the jury. The valedictory function began with the welcome address by Dr. N. Parvathi. Dr.J.Jyothikumar, Dean (SH) graced the occasion and also presented a research paper. He mentioned the importance of conducting the online conferences due to this pandemic situation. Dr. B. Vennila introduced the Chief Guest Mr. N. Murali (Alumnus, Mech- SRMEC-1989 Batch) Chief General Manager (Mech), Oil and Natural Gas Corporation Limited, GOI enterprises, Chennai. The valedictory address was delivered by the chief guest Mr. N. Murali. This was followed by the conference report delivered by one of the coordinators Dr. Saurabh Kumar Kattiyar which gave a glimpse of the entire event. The feedback given by the participants was a moral boost to the organizing committee and motivated all the participants for their future contribution to the field of Mathematics. The coordinator of the conference Dr. Bapuji Pulepu proposed the vote of thanks. The curtains came down with the National Anthem and a photo session was arranged to add to our memories.