Page Not Found
Page not found. Your pixels are in another canvas. Read more</strong></p></p> </article> </div> About me Read more</strong></p></p> </article> </div> This is a page not in th emain menu Read more</strong></p></p> </article> </div> Updated: This post will show up by default. To disable scheduling of future posts, edit Updated: This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool. Read more</strong></p></p> </article> </div> Updated: This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool. Read more</strong></p></p> </article> </div> Updated: This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool. Read more</strong></p></p> </article> </div> Updated: This is a sample blog post. Lorem ipsum I can’t remember the rest of lorem ipsum and don’t have an internet connection right now. Testing testing testing this blog post. Blog posts are cool. Read more</strong></p></p> </article> </div> The project focused on in-depth exploratory data analysis to uncover trends and preferences in avocado sizes across major US cities. By applying the PCA to volumetric sales data of avocados in three different sizes (small, medium, and large) in 2020 categorized by PLUs 4046, 4225, 4770, respectively, a distinct preference for either small or medium-sized avocados in most cities was revealed, with outliers showing higher sales in all three sizes. The project was implemented using Python, and the dataset was sourced from www.kaggle.com. I opted to analyze this dataset because of my personal fondness for avocados, especially as I include avocado toast in my daily breakfast routine. My preference for using the entire avocado for the toast and my reluctance to store cut avocados for the next day lead me to favor small-sized avocados. However, I occasionally encounter challenges in finding small-sized avocados sold under PLU 4046 at my usual grocery store. This curiosity prompted me to delve into the trends of preferences in avocado sizes in US cities. Read more</strong></p></p> </article> </div> After reducing the dimensionality of the data through PCA, the density distribution of the cities preferring small, medium, or all sizes of avocados, as represented by the score plot, was estimated using GMMs. The expectation maximization (EM) algorithm, an iterative scheme, was used to determine the model parameters. Consequently, the data depicted in the score plot was effectively clustered into three distinct clusters. These clusters represent cities with high sales of small-sized avocados, cities with high-medium sized avocado sales, and cities with outlier sales in large-sized avocados. The project was coded in Python. Read more</strong></p></p> </article> </div> The primary goal of this project was to thoroughly understand the core principles of neural networks, involving the implementation of four fundamental steps: initialization of the weights and biases, feedforward and backpropagation algorithms, and optimization using stochastic gradient descent. A small-scale project to classify Iris flowers into three classes based on specific characteristics was undertaken. A dense neural network for this task was developed and implemented in Python, utilizing a dataset from https://archive.ics.uci.edu/ml/datasets/Iris. The secondary objective was to gain hands-on experience with neural network design and optimization using the Keras library. Stochastic gradient descent (SGD) algorithm with a default learning rate of 0.01 was employed for optimizing the weights and biases. Read more</strong></p></p> </article> </div> The goal was to comprehend the mathematical formulation of Support Vector Machines (SVM) as an optimization problem and acquire practical experience by implementing SVM using pre-built functions from the scikit-learn library. To achieve this objective, a project was undertaken to classify the Iris flower into one of three classes—Iris setosa, Iris versicolor, and Iris virginica—based on the sepal length and petal length of the flower. For this purpose, three SVMs were established, each employing distinct kernels and inequality constraints, effectively addressing the specified task. The design of the SVM and the optimization of the SVM were executed using the SVC function from scikit-learn, a machine learning library, and the results from the three configurations were compared and evaluated for accuracy. Read more</strong></p></p> </article> </div> Short description of portfolio item number 1 Short description of portfolio item number 2 Engineering Tech Intern, 2012, Hyderabad, TG, India </font> Engineering Tech Intern, 2013, Hyderabad, TG, India </font> Engineering Tech Intern, 2013 - 2014, Chennai, TN, India </font> Mechanical Design Engineer, 2014 - 2017, Hyderabad, TG, India </font> Published in Journal 1, 2009 Recommended citation: Your Name, You. (2009). "Paper Title Number 1." Journal 1. 1(1). http://academicpages.github.io/files/paper1.pdf This paper is about the number 1. The number 2 is left for future work. Read more</strong></p></p> </article> </div> Published in Journal 1, 2010 Recommended citation: Your Name, You. (2010). "Paper Title Number 2." Journal 1. 1(2). http://academicpages.github.io/files/paper2.pdf This paper is about the number 2. The number 3 is left for future work. Read more</strong></p></p> </article> </div> Published in Journal 1, 2015 Recommended citation: Your Name, You. (2015). "Paper Title Number 3." Journal 1. 1(3). http://academicpages.github.io/files/paper3.pdf This paper is about the number 3. The number 4 is left for future work. Read more</strong></p></p> </article> </div> By utilizing a symmetric dual-wind DG (DWDG) spatial discretization and a backward Euler temporal discretization, we proposed a fully discrete scheme designed to solve a parabolic variational inequality. We also determined the rate of convergence of the error in space and time in suitable norms. We proposed and analyzed a numerically stable and convergent scheme for the convection-diffusion (CD) equation in the convection-dominated regime and derived a local order of convergence of $O(ℎ^{1.5})$ whenever the exact solution is of $𝐻^2(\Omega)$ regularity. The following figures illustrate a comparison between the exact and numerical solution from a particular numerical experiment. We proposed a numerical scheme to reduce an elliptic optimal control problem with control constraints to a finite-dimensional optimization problem with equality and inequality-type constraints and established the order of convergence of the error as we refine the triangulation of the polygonal domain $\Omega \subset \mathbb{R}^2$. The figures below present a comparison between the exact solutions and numerical solutions from a specific numerical experiment. Updated: @RAMS Conference 2022 Read more</strong></p></p> </article> </div> Updated: @ICCMAE 2022 Read more</strong></p></p> </article> </div> Updated: Updated: @SIAM-SEAS 2023 Read more</strong></p></p> </article> </div> Updated: Updated: @UNCG PDE Conference 2023 Read more</strong></p></p> </article> </div> Updated: @SEARCDE 2023 Read more</strong></p></p> </article> </div> Updated: Updated: @AMS Spring Southeastern Sectional Meeting 2024 Updated: @International Conference on Differential Equations 2024 Assistant Professor, Department of Applied Mathematics, Lakeland, FL Graduate Teaching Associate, Department of Mathematics & Statistics, Greensboro, NC Interacting with students during office hours </div> </body> </html> Read more</strong></p></p> </article> </div> About me
Page not in menu
Posts
Future Blog Post
config.yml and set future: false. Read more</strong></p></p> </article> </div> Blog Post number 4
Blog Post number 3
Blog Post number 2
Blog Post number 1
academicprojects
Avocado Size Preference in US Cities: Principal Component Analysis (PCA) of Volumetric Sales of Avocados in 2020
Gaussian Mixture Models (GMMs) Based Density Estimation of US Cities Preferring One Size of Avocados
Dense Neural Network Based Categorization of Iris Data
Classification of Iris Flower Based on Sepal Length and Petal Length Using Support Vector Machines (SVMs)
portfolio
Portfolio item number 1
Read more</strong></p></p> </article> </div> Portfolio item number 2
Read more</strong></p></p> </article> </div>professional
@ Bharat Heavy Electrical Ltd. (BHEL)
Projects:
Technical Comparison of PG6101FA (Fr-6FA), PG9171E (Fr-9E) and PG9351FA (Fr-9FA) Gas Turbines
Timeline: May ‘12 - Jul ‘12
Project Details: This project focused on the examination of axial flow industrial gas turbines, involving a detailed exploration of compressor technology. Read more</strong></p></p> </article> </div> @ National Mineral Development Corporation (NMDC)
Projects:
Flow ability study of blended coal & functional design of mass flow silos with mild steel as the liner material
Timeline: May ‘13 - Jul ‘13
Project Details: The goal of this project was to determine the design parameters necessary for ensuring a reliable coal flow from a 500 Ton mass flow coal silo. Read more</strong></p></p> </article> </div> @ Indus Refrigeration Private Ltd.
Projects:
Design and fabrication of 3 fluid vapor absorption refrigeration system (VARS) for chilling of milk
Timeline: Sep ‘13 - May ‘14
Project Details: The main objective of this project was to offer a cost-effective solution for the immediate chilling of milk at dairy farms, aiming to enhance the shelf life of the milk. Read more</strong></p></p> </article> </div> @ Cyient Ltd.
Projects:
Design and structural analysis of 3D anti-vortex tube (AVT)
Client: Pratt & Whitney
Timeline: Jun ‘16 - Jan ‘17
Project Details: The main objective of this project was to optimize the design of AVT assembly which did not meet the life criteria. Read more</strong></p></p> </article> </div>publications
Paper Title Number 1
Paper Title Number 2
Paper Title Number 3
research
Parabolic variational inequality
Steady convection-diffusion equation in the convection dominated regime
Elliptic optimal control problem with control constraints
talks
Symmetric Dual-Wind Discontinuous Galerkin Methods for a Parabolic Obstacle Problem
Symmetric Dual-Wind Discontinuous Galerkin Methods for a Parabolic Obstacle Problem
Dual-Wind Discontinuous Galerkin Method for a Parabolic Obstacle Problem and an Optimal Control Problem
Dual-wind discontinuous Galerkin method and its application to an optimal control problem and a parabolic variational inequality
Dual-wind discontinuous Galerkin method and its application to an optimal control problem and a parabolic variational inequality
(left to right) Dr. Aaron Rapp Dr. Anantha Acharya Dustin Nichols, Dr. Shalmali Bandyopadhyay, Me, and Dr. Elliott Hollifield
(left to right) Dr. Anantha Acharya, Keta Henderson, and I
Read more</strong></p></p> </article> </div> Dual-wind discontinuous Galerkin method and its application to an optimal control problem
Novel discontinuous Galerkin methods for an optimal control problem and a convection-diffusion equation
Novel discontinuous Galerkin methods for optimization problems with inequality constraints
Dual-Wind Discontinuous Galerkin methods for Elliptic Optimal Control Problem with Control Constraints
Novel Discontinuous Galerkin Methods for a Parabolic Obstacle Problem and a Convection Dominated Problem
Front row (left to right) Dr. Keta Henderson Prof. Maya Chhetri Dr. Shalmali Bandyopadhyay, Prof. Ratnasingham Shivaji Dr. Byungjae Son Xiaohuan Xue (Max)
Back row (left to right) Me, Dr. Dustin Nichols, Dr. Tom Lewis, Prof. Jerome Goddard II.
teaching
@ Florida Poly
Course Semester Analytic Geometry and Calculus 1 (MAC 2311) Fall '25 Differential Equations (MAP 2302) Fall '25 Analytic Geometry and Calculus 1 (MAC 2311) Spring '25 Applied Partial Differential Equations (MAP 4341) Spring '25 Precalculus (MAC 1147) Fall '24 @ UNCG
Course Semester Calculus A Fall '23 Algebra with Business Applications Spring '23 Foundations of Calculus Fall '22 Algebra with Business Applications Spring '22 Algebra with Business Applications Fall '21 Contemporary Topics in Mathematics Spring '21 
