Why My Integrator Exploded at t = 355, Every Single Time
Disclosure: this post was written with the assistance of an AI system (Claude), which wrote the analysis code, ran the experiments and drafted the text. The topic, the constraints, the data choices and the final review are the author’s. A spectral solver that blew up at the same moment whatever I changed. Across 24 configurations, a tenfold change in timestep moved the failure by 5%, a finer grid by 5%, and swapping the entire time-stepping scheme by 3%....