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Mathematics Core Groups

Mathematics Core Groups. Discrete Mathematics. Mathematical Modelling. Functional Analysis and Fast Fourier Transform. Computational Fluid Dynamics. Functional Analysis and Fast Fourier Transform. Prof. G.N.Purohit Dr. Mridula Purohit Dr. Trilok Mathur Mr. Om Prakash Mr. Shard Pande.

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Mathematics Core Groups

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  1. Mathematics Core Groups DiscreteMathematics Mathematical Modelling Functional Analysis and Fast Fourier Transform Computational Fluid Dynamics

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

  3. Prof. G.N. Purohit Supervised 13 Ph.D. in • 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

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

  5. 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

  6. 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 • Applications of Fractional Diffusion Equations. • Properties of bi-complex special functions BACK

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

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

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

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

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

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

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

  14. 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 • VLSI Implementation of TURBO DECODERS • Optimal Error Control Codes for 4G Mobile Communication Research Project: Performance Evaluation of Turbo Codes (2002-2004) sponsored by All India Council for Technical Education, New Delhi BACK

  15. Dr. Rakhee Doctoral Work on : Delay Analysis ofIntegrated 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 • Performance analysis of MC-CDMA networks to reduce Blocking Probability. • Speech Recognition using Hidden Markov Models BACK

  16. 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

  17. 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.

  18. Research Scholars • 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 4G Mobile Communication”. (Under Prof. Rekha Govil) • Ms. Shalley Gupta, “Some Queueing Models For Prediction And Evaluation Of Performance of Communication Networks”. (Dr. Rakhee)

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