Transcript Document
Mathematics Core Groups
Discrete
Mathematics
Functional Analysis
and Fast Fourier
Transform
Mathematical
Modelling
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
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
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
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)