Blog
I post blog entries discussing a variety of mathematical topics, as well as some personal anecdotes about my experiences in academia. I try to post a variety of topics, including those related to my research as well as some slightly off-topic mathematical interests. Please note that I’m the only one who proofreads the material I post; if you notice any errors, please let me know and I will be happy to correct them.
Simple ML Architectures to Solve the Heat Equation
Partial Differential Equations
Machine Learning
We use a neural network and polynomial regression to solve the heat equation and compare the results qualitatively.
Neural Poisson Solver
Partial Differential Equations
Machine Learning
Solving a simple PDE using a neural network
Fractional Derivatives
Operator Theory
Functional Analysis
Partial Differential Equations
A quick introduction to the theory and some applications of fractional derivatives.
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