The Assessment of Math Courses in the Age of Artificial Intelligence
When students submit homework solutions look fancier and more detailed than your prepared solutions…
Recent Posts
Neural Finite Element part II: Einstein summation is all we need
It has been almost 4 years since my last blog post and serving as a beta tester for GPT-based GitHub copilot.
Neural Finite Element part I: how to implement MATLAB’s accumarray in PyTorch
The first part among many on how to implement an FEM natively in PyTorch, taking advantages of the auto-diff, natural data structure and functions supporting...
Crouzeix divergence free basis for the Navier-Stokes equation
This is the solution (long read) to a Chapter 11 exercise of the book by Brenner and Scott (Brenner and Scott, 2008). Personally I really like this problem, ...
Amateur mathematician studies Quantum Field Theory part 2: Maxwell equations
In the first part, we reviewed a brief history of the mathematics of the Quantum Field Theory (not exhaustively, but enough to get the idea). In this part, w...
Amateur mathematician studies Quantum Field Theory part I
Translating the language of physicists to the language of mathematicians.
Implementing the hierarchical basis for linear finite elements
This note walks through the construction of the stiffness matrix for the finite element approximation of Poisson equation in 2D using the hierarchical basis...
Funny moments of using the GitHub Copilot
My experience of using the GitHub copilot as a computational mathematician.
Shortcut to git commit and push in Visual Studio Code
Use VSCode task to streamline the workflow of building a site and push the changes to GitHub.