Exact-error comparison of trapezoid and Simpson quadrature
Use rational arithmetic to compare composite quadrature errors for x^4 on [0,1] across five nested grid resolutions.
Proposed original example. Source release and any execution are separate steps.
What convergence pattern appears without floating-point rounding for these two quadrature rules?
Subtract the exact integral 1/5 from exact Fraction quadrature sums for every prespecified grid.
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.