Numerical Modeling
Solution of Poisson equation using Finite Difference Approximation
Solution of nonlinear boundry value problem using Finite Difference Approximation

Used finite difference approximation method to discretize twodimensional nonlinear BVP and form couple of algebraic equations of the form R=0

Solved the equations by implementing Newton' Method

Tracked all the nontrivial solutions using analytical method and the arc length continuation method

Used finite difference approximation method and discretized twodimensional Poisson's equation and boundary conditions in the form of Ax = b

Wrote MATLAB code to generate coefficient matrices 'A' and 'b' and solve for unknown 'x' using 4 different solvers:

Intrinsic MATLAB solver

LU Decomposition

Jacobi solver, and

GaussSeidel iterative solver


Generated numerical solution for the problem with different grid sizes and compared scaling behavior and errors for these methods
Solution of LotkaVolterra system of equations using Euler methods

Calculated critical points for the system of nonlinear system of ordinary differential equations

Set up solution equation based on both intrinsic and explicit Euler methods and performed accuracy analysis by varying the step size

Analyzed phase plots and performed physical linear stability test

Worked with 2 classmates and investigated coupled heat and hydrogen transfer processes in an annular cylindrical hydrogen storage device filled with five different metal alloys

Adapted Finite Volume Method using central difference scheme and I wrote majority of around 1000 lines of code in C++ to simulate these transport equations

Studied Hydrogen storage performance by varying the operating parameters, such as, hydrogen supply pressure, cold fluid temperature and overall heat transfer coefficient
Absorption Characteristics of Hydrogen in a Metal Hydride Bed
Skills: MATLAB, C++, R, Python, Computational Fluid Dynamics, Finite Elemet Analysis, Data Mining
Analysis of Airbnb Reviews, hosts and user preferences
Airbnb, ever since its foundation in 2008, has impacted the travel experiences of people all around the world. In this project, I collected data from various internet sources, cleaned and modified for my analysis, and

Predicted in which country a new Airbnb user will book his or her holiday based on information about their age, gender, nationality etc

Studied hosts, and analyzed occupancy of different Airbnb listings in Austin, Texas

Performed text mining to analyse user reviews

Gathered data about hotels in Texas and visualized how presence of Airbnb has impacted the revenues of these hotels, to understand the impact of Airbnb on sharing economy.
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