AS
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CO
convergence-study
Maintainer FreedomIntelligence · Last updated April 1, 2026
Spatial and temporal convergence analysis with Richardson extrapolation and Grid Convergence Index (GCI) for solution verification.
Original source
FreedomIntelligence/OpenClaw-Medical-Skills
https://github.com/FreedomIntelligence/OpenClaw-Medical-Skills/tree/main/skills/convergence-study
- Maintainer
- FreedomIntelligence
- License
- MIT
- Last updated
- April 1, 2026
Skill Snapshot
Key Details From SKILL.md
Key Notes
- Provide script-driven convergence analysis for verifying that numerical solutions converge at the expected rate as the mesh or timestep is refined.
- python3 scripts/h_refinement.py --spacings 0.4,0.2,0.1,0.05 --values 1.16,1.04,1.01,1.0025 --expected-order 2.0 --json.
Source Doc
Excerpt From SKILL.md
Requirements
- Python 3.8+
- NumPy (not required; scripts use only math stdlib)
Inputs to Gather
| Input | Description | Example |
|---|---|---|
| Grid spacings | Sequence of mesh sizes (coarse to fine) | 0.4,0.2,0.1,0.05 |
| Timestep sizes | Sequence of dt values | 0.04,0.02,0.01 |
| Solution values | QoI at each refinement level | 1.16,1.04,1.01,1.0025 |
| Expected order | Formal order of the numerical scheme | 2.0 |
| Safety factor | GCI safety factor (1.25 default) | 1.25 |
Script Outputs (JSON Fields)
| Script | Key Outputs |
|---|---|
scripts/h_refinement.py | results.observed_orders, results.mean_order, results.richardson_extrapolated_value, results.convergence_assessment |
scripts/dt_refinement.py | Same as h_refinement but for temporal convergence |
scripts/richardson_extrapolation.py | results.extrapolated_value, results.error_estimate, results.observed_order |
scripts/gci_calculator.py | results.observed_order, results.gci_fine, results.gci_coarse, results.asymptotic_ratio, results.in_asymptotic_range |
Use cases
- Use convergence-study in research workflows aligned with this subject area.
- Follow the upstream documentation for the full working procedure.
Not for
- Do not rely on this catalog entry alone for installation or maintenance details.
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