QSS: A Solver for Large Sparse Stiff Discontinuous Systems

Explore a conference talk on QSS (Quantized State System), a solver designed for large sparse stiff discontinuous systems. Delve into the fundamental differences between classic methods and QSS algorithms, focusing on the concept of quantum Δ and its role in determining step sizes. Learn how QSS algorithms can outperform classic solvers in specific systems, such as switched power converter circuits. Discover the implementation of explicit and implicit QSS algorithms of orders 1, 2, and 3 in Julia, including the package structure, optimization techniques, and integration with other Julia packages. Examine the general form of the QSS algorithm and its potential incorporation into the DifferentialEquations.jl ecosystem. Gain insights into the package's testing phase and its successful application to various ODE systems and well-known problems.