Native Julia ODE, SDE, DAE, DDE, and (S)PDE Solvers

The DifferentialEquations.jl ecosystem has an extensive set of state-of-the-art methods for solving differential equations. By mixing native methods and wrapped methods under the same dispatch system, DifferentialEquations.jl serves both as a system to deploy and research the most modern efficient methodologies. While most of the basic methods have been developed and optimized, many newer methods need high performance implementations and real-world tests of their efficiency claims. In this project, students will be paired with current researchers in the discipline to get a handle on some of the latest techniques and build efficient implementations into the DiffEq ecosystem (OrdinaryDiffEq.jl, StochasticDiffEq.jl, DAEDiffEq.jl).