Mathematics Core Groups Discrete Mathematics Functional Analysis and

Mathematics Core Groups Discrete Mathematics Functional Analysis and Fast Fourier Transform Mathematical Modelling Computational Fluid Dynamics

Functional Analysis and Fast Fourier Transform o o o Prof. G. N. Purohit Dr. Mridula Purohit Dr. Trilok Mathur Mr. Om Prakash Mr. Shard Pande

Prof. G. N. Purohit Supervised 13 Ph. D. in Ø Ø Fluid Dynamics and Heat Transfer, Functional Analysis and Fast-Fourier Transform Discrete Mathematics Operations Research. Currently Supervising: One in Functional Analysis and one in Graph Theory Vision: Since Computing facilities are available it is proposed to build: • a strong group in Computational Fluid Dynamics • a group on applications of Graph Theory

Work Done Ø Existence and Unique solution of Partial Differential Equation. Ø Unsteady heat transfer for flow over a flat plate with suction. Ø Free convection along a vertical wall. Ø Unsteady thermal boundary layers on a porous plate in a rotating system. Ø MHD Heat transfer due to flow between two rotating porous discs. Ø Weak and strong solutions of the Navier-Stokes initial value problem. Ø The Study of Semi – Groups for Vector Valued Functions. Ø A Basic Proof of Prime Number Theorem with a Remainder Term. Ø Queueing Theory Models in Machining System with Interruptions Future Plan: Graph Colouring for optimum frequency distribution of frequencies in Communication Networks. BACK

Dr. Mridula Purohit Doctoral Work on: Generalised Hypergeometric function, Fractional Calculus and their applications in diversified fields. Presently Working: FRACTIONAL CALCULAS AND ITS APPLICATION, funded by Banasthali Vidyapith. Future Plans: To work on Fast Fourier Transform. BACK

Dr. Trilok Mathur Doctoral Work on: A study of certain properties of generalized special functions and general classes of polynomials with applications. Work Done: Studied the proprieties of Fractional Diffusion Equations, define and studied 2 -dimensional Fractional Calculus operator and Bi-complex special functions. Future Plans: To carry out research work in Ø Applications of Fractional Diffusion Equations. Ø Properties of bi-complex special functions BACK

Mr. Shared C. Pandey o. Presently Working: A Study of integral Operator, Fractional Integral and Transcedental Functions. o. Future Ø Ø Ø Plans: Critical review on spaces To Establish relation between images and originals. To find certain properties of spaces Fp, μ BACK

Mr. Om Prakash o o Presently Working: Decomposability of certain Ore Extension. Future Plans: To carry out research work in Ø Ø weak p-regularity of rings and its ideals. Krull dimension of Modules over Involution Rings. BACK

Computational Fluid Dynamics o o o Prof. G. N. Purohit Mrs. Amla Olkha Mr. Pravin Garg

Mrs. Amla Olkha o Presently Working: Some problems on non-newtonian flow and Heat Transfer in presence of permeable boundary o Future Plans: To work on the area of Integral Transform

Mr. Pravin Garg o Presently Working: Boundary Layer Theory o Future Plans: Laminar Boundary Layer in Permeable Wall.

Mathematical Modelling o o Dr. Rekha Rani Dr. Rakhee Dr. Seema Verma Mr. C. K. Jha

Mathematical Modelling Communication Systems Manufacturing Systems Performance Analysis Computer Networks Turbo Codes

Dr. Seema Verma Doctoral Work on: Performance Evaluation of TURBO CODES Work Done: Performance Evaluation of TURBO CODES with reference to medium of transmission as parameter. The realistic channels have been mathematically modeled and simulated in MATLAB. Future Plans: To carry out research work in Ø VLSI Implementation of TURBO DECODERS Ø Optimal Error Control Codes for 4 G Mobile Communication Research Project: Performance Evaluation of Turbo Codes (2002 -2004) sponsored by All India Council for Technical Education, New Delhi BACK

Dr. Rakhee Doctoral Work on : Delay Analysis of Integrated Traffic Models in Communication Systems Work Done: Performance Analysis of Integrated Traffic Models in Communication Systems using Queuing Theory. Future Plans: To carry out research work in Ø Performance analysis of MC-CDMA networks to reduce Blocking Probability. Ø Speech Recognition using Hidden Markov Models BACK

Dr. Rekha Rani Doctoral Work on: Queueing Theory Models in Machining System with Interruptions. Work Done: Performance Analysis of Manufacturing Systems. Future Plans: To simulate some queueing models to obtain optimal number of servers under different operating conditions. BACK

Mr. C. K. Jha Presently Working: Performance Analysis Of Overlay Networking Device using mathematical simulation method with the help of Queuing Model. Future Plan: Performance testing in measuring the efficiency of devices in the network. The metrics are defined by RFC 1242.

Research Scholars o o o Ms. Seema Saxena “Graph Colouring for optimum frequency distribution of frequencies in Communication Networks”. (Under Prof. G. N. Purohit) Ms. Samradhi Gargie, “Optimal Error Control Codes for 4 G Mobile Communication”. (Under Prof. Rekha Govil) Ms. Shalley Gupta, “Some Queueing Models For Prediction And Evaluation Of Performance of Communication Networks”. (Dr. Rakhee)