Transcript Document

Mathematics Core Groups
Discrete
Mathematics
Functional Analysis
and Fast Fourier
Transform
Mathematical
Modelling
Computational Fluid
Dynamics
Functional Analysis and Fast
Fourier Transform
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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
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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
 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
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
 Applications
Equations.
of
Fractional
Diffusion
 Properties of bi-complex special functions
BACK
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 find certain properties of spaces Fp,μ
BACK
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
Computational Fluid Dynamics
 Prof. G.N. Purohit
 Mrs. Amla Olkha
 Mr. Pravin Garg
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
Mr. Pravin Garg
 Presently Working:
Boundary Layer Theory
 Future Plans: Laminar Boundary Layer
in Permeable Wall.
Mathematical Modelling
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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
 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
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
 Performance
analysis
of
MC-CDMA
networks to reduce Blocking Probability.
 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
 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)