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.
Catalog listing reviewed. This review covers the description and source links displayed here.
Local draft title, collective byline, original summary, and proposed split terms reviewed.
Reviewed 2026-09-14. Copying or adapting source files remains subject to their own terms.
Before copying source material
- Proposed local-draft licenses: original code MIT, explanations CC-BY-4.0, synthetic numeric data CC0-1.0; publication/disclosure approval remains separate.