Explicit Euler stability around a known threshold
Investigate four step sizes for y'=-10y using the known amplification factor 1-10h, including stable, boundary, and growing discrete trajectories.
Proposed original example. Source release and any execution are separate steps.
When does a decaying continuous solution produce a non-decaying numerical trajectory?
Compare the magnitude of the analytical discrete amplification factor and each run's exact continuous solution at its own final time.
What you could produce
- A scoped observations JSON record and a comparison with the stated reference.
Before you use it
- Python 3.13 standard library
Limits to keep in view
- No research code was executed by the preparation tool.
- Author output cannot issue an independent scientific-verification result.
Source and permission context
Original local preparation by the Executable Science seed collection; upstream API references remain separately attributed.
Rights need review. Review the scope and upstream conditions before reuse.
Still unresolved
- Proposed local-draft licenses: original code MIT, explanations CC-BY-4.0, synthetic numeric data CC0-1.0; publication/disclosure approval remains separate.