State of Julia's SciML Ecosystem - Current Status and Future Directions

Explore the current state and future directions of Julia's Scientific Machine Learning (SciML) ecosystem in this comprehensive conference talk from JuliaCon 2024. Gain insights into the varying maturity levels of different components within the SciML project, from highly mature ODE solvers to emerging technologies like GPU-based optimizers and high index DAEs. Discover the challenges and opportunities in areas such as boundary value problems, complementary problems, and parallelism in nonlinear optimization. Learn about the project's near-future goals, ongoing development focuses, and potential entry points for contributors looking to advance the SciML ecosystem. Understand the breadth and depth of SciML packages, including DifferentialEquations.jl, NonlinearSolve.jl, and ExponentialUtilities.jl, and how they form a cohesive whole despite differences in maturity and development stages.