Getting it into your agent
One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.
npx skills add beita6969/ScienceClaw --skill convergence-studygit clone --depth 1 https://github.com/beita6969/ScienceClawWrote this? Show the measurements
A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.
[](https://agentmods.dev/skills/beita6969/scienceclaw/convergence-study)<a href="https://agentmods.dev/skills/beita6969/scienceclaw/convergence-study"><img src="https://agentmods.dev/badge/skills/beita6969/scienceclaw/convergence-study.svg" alt="Measured on agentmods" height="20"></a>- NVIDIA SkillSpector pass
What it costs to keep this loaded
Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00025 | $0.01141 |
| Opus 5 | $0.00013 | $0.00571 |
| Sonnet 5 | $0.00005 | $0.00228 |
| Haiku 4.5 | $0.00003 | $0.00114 |
Grade A, and why
convergence-study scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 8d ago.
A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.
Nothing flagged
None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.
How it starts
The opening of the file, as written. The whole thing — 99 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Convergence Study
Goal
Provide script-driven convergence analysis for verifying that numerical solutions converge at the expected rate as the mesh or timestep is refined.
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 |
Workflow
- Run grid/timestep refinement study with at least 3 levels
- Compute observed convergence order with
h_refinement.pyordt_refinement.py - Compare observed order to expected order of the scheme
- Estimate discretization error via Richardson extrapolation
- Report GCI for formal solution verification using
gci_calculator.py - Document convergence results and any anomalies
Decision Guidance
Do you have 3+ refinement levels?
+-- YES --> Run h_refinement.py or dt_refinement.py
| +-- Observed order matches expected? --> Solution verified
| +-- Order too low? --> Check: pre-asymptotic, coding error, insufficient resolution
| +-- Order too high? --> Check: superconvergence or cancellation effects
+-- NO (only 2 levels) --> Use richardson_extrapolation.py with assumed order
(less reliable without order verification)
What ships with it
6 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.
What this file has done since we first saw it
Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.
- 8d ago First seen · 99 lines · 25 tokens per session scan A b8990cc53427
convergence-study is a skill published in the GitHub repository beita6969/ScienceClaw (895 stars, last pushed 3mo ago), licensed MIT. It adds 25 tokens to every session and 1,141 once invoked, about $0.0001 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.
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