Applied Mathematics

Decision Programming

*DecisionProgramming.jl* is a Julia package for solving multi-stage decision problems under uncertainty, modeled using influence diagrams. Internally, it relies on mathematical optimization. Decision models can be embedded within other optimization models.

Energy System Modeling

*EnergySystemModeling.jl* is Julia package for a transmission capacity expansion model. Internally, it relies on mathematical optimization where the model is a linear program.

Shelf Space Allocation

*ShelfSpaceAllocation.jl* is a Julia package for solving the retail shelf space allocation problem. Internally, it relies on mathematical optimization, where the model is a mixed-integer linear program.

Measuring Tail Risk Using Conditional Value at Risk

This article explores the definition and properties of Conditional Value at Risk, a coherent risk measure for measuring tail risk. We also provide an implementation in Julia language for discrete probability distributions.

Computer Algebra With Sympy and Jupyter

This article discusses the benefits and challenges of present-day computer algebra systems and demonstrates computer algebra with Jupyter and Sympy.

Exploring the Pointwise Convergence of Legendre Series for Piecewise Analytic Functions

In this article, we explore the behavior of the pointwise convergence of the Legendre series for piecewise analytic functions using numerical methods and compare the results against theoretical predictions.