Research Guidence
Ph.
D. Dissertations Supervised
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T. Sengadir, Ph.D dissertation on Topological Transversality and Its Applications
to Differential Equations (with Professor D.V.Pai) August'93.
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L. Jones T. Doss, Ph.D dissertation on Finite Element Galerkin Methods
for Parabolic Free Boundary Problems Sept.'94.
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Rajen Kumar Sinha, Ph.D dissertation on Finite Element Methods for Time
Dependent Parabolic Integro-Differential Equations with Non-smooth Data,
February'96.
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M. A. Mohamed Ali, Ph.D. dissertation on Numerical Methods for Enhanced
Oil Recovery in Reservoir Studies August '97.
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Arul Veda Manickam, Ph.D. dissertation on Runge-Kutta Methods for Differential
Algebraic Equations Resulting from the Spatial Discretization of Some Evolution
Equations (with Professor Kannan M. Moudgalya), August' 98.
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Pradeepa Nair, Ph. D. dissertation on Finite Element Approximations to Evolutionary Variational Inequalities submitted in June'02(jointly with Professor D. V. Pai).
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Jyoti Agrawal, Ph.D. dissertations on Equivalent Dynamics and Efficient Integration Algorithm for a Class of Discontinuous Differential Algebraic Equations in Sliding Mode, Chemical Engg. IIT Bombay, November'03 (jointly with Kannan M. Moudgalya).
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P. Dhanumjaya, Ph.D. dissertation on Finite Element Galerkin Methods for Fisher- Kolmogorov Equations January'05
- Anil Kumar Pundir, Ph. D. dissertation on Optimal Control Problems Involving
Parabolic Differential and Parabolic Integro-Differential Equations December'06.
- Tirupathi Gudi Ph. D. dissertation on Discontinuous Galerkin Methods for Non-linear Elliptic Problems (submitted in November, 2006).
- Ajit Patel, Ph.D. Thesis on `Mortar Finite Element Methods for Second Order Elliptic and Parabolic Problems ', July 2008 (jointly with Neela Nataraj).
- Sarvesh Kumar, Ph.D. dissertation on `Finite Volume Element Methods for Incompressible Miscible Displacement Problems in Porous Media ', July, 2008 ( jointly with Neela Nataraj).
- Debashish Pradhan, Ph.D. dissertation on `Domain Decomposition Methods for Second Order Elliptic and Patrabolic Problems', September 2008 (jointly with Neela Nataraj).
- Sangita Yadav, Ph.D. Thesis on `Superconvergent Discontinuous Galerkin Methods for Elliptic and Parabolic Problems', January,2011.
- Deepjyoti Goswami, Finite Element Galerkin Approximations to the Equations of Motion Arising in the Oldroyd Model. Nov. 2011
- Sajid Memon, Ph.D. thesis on: Finite Element Methods for Pricing American Option (with Sachin Patkar from EE). 2012
- Saumya Bajpai, Broad Areas of Research: FEM for Equations of Motion for Kelvin-Voight Model (with Neela Nataraj), February,2013 .
Presently Supervising
- Asha D., Broad Areas of Research : Adaptive FEM (with Neela Nataraj).
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M. Tech.
Thesis Supervised
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Jitendra V. Kadam on Index Analysis and Adaptive Refinement in Multiscale
Dynamic Optimization, Department of Chemical Engineering, IIT Bombay (with
Kannan M. Moudgalya, Thomas Binder & Wolfgang Marquardt (Process Technology
RWTH, Aachen)), March'2000.
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Prashant B. Vora on Control of Differential Algebraic Equations Systems
& Control Engineering, IIT Bombay (with Kannan M. Moudgalya), to complete
by January'2001.
- Shreyas S. Kirwai on Mathematical Modelling of Hot Forging Die Wear, IDP in Materials,
Manufacturing and Modelling, (with Neela Nataraj), 2011.
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M.Sc. ( Mathematics) Thesis Supervised
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Vrushali A. Bokil on Mathematical Modelling and Simulation of Chemical
Process Using the Equation Oriented Approach,1992 (co-guide Prof. R.K.
Mallick from CAD Center).
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Shailesh Nair on Stability Analysis for Stiff Equations Arising in the
Modelling of Amonia Plant,1992 (co-guide Prof.R.K. Mallick from CAD Center).
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Madhu S. Kumar on Solving Systems of Nonlinear Equations Using Method
of Homotopy,1992 (co-guide Kannan Moudgalya from Chemical Engineering
Dept.).
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Tansuk Patel on Simulated Annealing Methods and Applications, 1992 (co-guide
Kannan Moudgalya from Chemical Engineering Dept.).
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Khurshed Batliwala On Numerical Grid Generation,1994.
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Somshekher S. Badiger on Domain Decomposition and Parallel Processing
for the Numerical Solution of Parabolic Equations,1996.
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Minal Wankhede on Domain Decomposition Method for Wave Equations Based
on Finite Elements 1996.
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Ashish V. Chordia on Index Determination of DAE (Differential Algebraic
Equations) 1997.(with Kannan M. Moudgalya).
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Sonia Gupta on Multi-grid Methods for Elliptic Equations 1998 (with
R. P. Kulkarni)
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Ashlyn Rodrigues on Adaptive Methods for Differential Equations 1998
(with Kannan M. Moudgalya).
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Shashi Kanta Srivastava on Efficient Simulation for Computation of Particle
Size Distributions in Emulsion polymerization 2000 (with Kannan Moudgalya).
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Vikram Bhorawat on Numerical Simulation to Option Pricing Model2000 (with
Alladi Subramanyam).
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Fred Litjens (University of Twente, The Netherlands) on Modeling and Control
of the Crystal Size Distribution in an Industrial Crystallizer 2001 (co
guide : Prof. K. M. Moudgalya, Prof. dr. H. Kwakernaak, dr. H. J. Zwart(from Univ. Twente))
- C. Mathew on Numerical Simulation of American Option
Pricing Model 2001.
- Tathagata Malakar on Numerical Simulation of
Exotic Option pricing 2002.
- Pritam Mantri on Quolocation Methods for Nonlinear PDEs 2003.
- Shivananda dwivedi on Existence of Solutions of the Two-Point
Boundary Value Problems Using Topological Transversality Arguments 2003.
- T. V. Smitha on Wavelet Methods for Parabolic Equations 2003.
- Summetha R. Natesan on Wavelet Methods for Hyperbolic Equations 2003.
- Nedungadi Aatira G. on Dynamics of FitzHugh-Naguno Equations 2004.
- Sangita Singh on Numerical Simulation of Option Pricing Arising in American
Put Option 2004.
- Hemalatha Dave on Numerical Simulation of Diffusion Models Arising in Image
Processing 2004.
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B. Tech.
Thesis Supervised
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Nishant Gupta on Modelling of Particle Size Distributions in Emulsion
Polymerization, Chemical Engg. IIT Bombay' April 2000. (with Kannan Moudgalya).
- Ankur Mehta on Term Structure Models and Their Numerical Simulations,
Mechanical Engineering IIT Bombay, April 2003.
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