JuliaCon 2025

DifferentialEquations.jl is the main package in Julia for solving differential equations. It has all sorts of things, from solving ordinary differential equations to stochastic differential equations, differential-algebraic equations, and more. You can switch to preconditioned GMRES linear solvers, exponential integrators, integrate with automatic differentiation, tweak the nonlinear solvers, and add customized stepping/logging routines. Most people only ever scratch the surface: let's dive in.

In this talk we will introduce FixedSizeArrays.jl, a new package which implements mutable fixed-size arrays, based on the recent Memory type.