I worked with Fabricio Oliveira and Lucas Condeixa on creating a Julia package for a transmission capacity expansion model. The energy system model is formulated as a linear program. We used JuMP for the modeling. The code is available in a repository at EnergySystemModeling.jl which also contains a documentation

I worked with Fabricio Oliveira on creating a Julia package for a shelf space allocation model for retailing. The shelf space allocation model is formulated as a mixed-integer linear program. We use JuMP for the modeling. The work also included creating visualizations, heuristics, and documentation. The code is available in a repository at ShelfSpaceAllocation.jl which also contains a documentation.

I continued the work from the previous summer, developing the crowd dynamics simulation. I wrote an extensive blog article about the implementation of the simulation, which you can find at How to Implement Continuous-Time Multi-Agent Crowd Simulation. Also, the code is available in a repository at crowddynamics, and related cell lists algorithm at cell_lists.

I worked at the Systems Analysis Laboratory, developing and researching a crowd dynamics simulation with prof. Harri Ehtamo and Anton Von Schantz. Crowd dynamics studies the movement of crowds of humans people, which the simulation aims to create computationally. The work included programming with Python using its vast ecosystem of scientific packages as well as researching and reading research papers about the subject.

My work consisted of researching and writing my Bachelor’s thesis for the department of mathematics and systems analysis with supervising professor Harri Hakula. My thesis On the Pointwise Convergence of Legendre Polynomials focused on exploring how a series expansion of step function (sign function) and V-function (absolute value function) using Legendre polynomials converges towards the real value at different points. The exploration was done numerically and then compared against theoretical predictions.