Spatial and temporal convergence analysis with Richardson extrapolation and Grid Convergence Index (GCI) for solution verification

No licenceAuto-check: notes

Install Convergence Study

skills CLI
$ npx skills add FreedomIntelligence/OpenClaw-Medical-Skills --skill convergence-study -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install FreedomIntelligence/OpenClaw-Medical-Skills convergence-study --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/FreedomIntelligence/OpenClaw-Medical-Skills.git skills-src && mkdir -p .claude/skills && cp -r skills-src/skills/convergence-study .claude/skills/convergence-study && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
convergence-study
GitHub stars
3.1k
Used in
1 other repo
Token cost
~1.1k tokens
SKILL.md length
300 words
Files
7 (incl. scripts, references)
Skills in repo
279
Repo updated
First seen
Licence
None found

At a glance

Spatial and temporal convergence analysis with Richardson extrapolation and Grid Convergence Index (GCI) for solution verification

  • Works in 6 steps: Run grid/timestep refinement study with… → Compute observed convergence order with… → Compare observed order to expected order… → …
  • SKILL.md covers Goal, Requirements, Inputs to Gather and Script Outputs (JSON Fields), plus 6 more sections
  • Runs Python scripts from its folder; calls python3

What it does

Convergence Study is an agent skill from FreedomIntelligence/OpenClaw-Medical-Skills. Spatial and temporal convergence analysis with Richardson extrapolation and Grid Convergence Index (GCI) for solution verification

Its SKILL.md is about 1.1k tokens, which your agent loads only when the skill is triggered. The skill folder holds 8 other files, including scripts and reference files (for example `references/convergence_theory.md`, `references/gci_guidelines.md` and `scripts/dt_refinement.py`).

The repository describes itself as: The largest open-source medical AI skills library for OpenClaw🦞.

Example prompts

  • “/convergence-study”

Requirements

  • Python 3
  • Pre-approved tools (allowed-tools): Bash, Read

Workflow steps

6 steps, taken from the first numbered list in SKILL.md.

  1. Run grid/timestep refinement study with at least 3 levels
  2. Compute observed convergence order with h_refinement.py or dt_refinement.py
  3. Compare observed order to expected order of the scheme
  4. Estimate discretization error via Richardson extrapolation
  5. Report GCI for formal solution verification using gci_calculator.py
  6. Document convergence results and any anomalies

What it can do on your machine

Read from SKILL.md and the folder at commit b1f9b6e. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Bash
    • Read

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Ships 4 files in scripts/ (Python), which the agent can run.

    Shell commands in SKILL.md call:

    • python3

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Convergence Study loads about 1.1k tokens when it runs, and up to ~2.9k if it reads all its reference files. Until then it costs about 37 tokens; SKILL.md has 300 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~37
When it runs · the whole SKILL.md, loaded when a task matches
~1.1k
With references · SKILL.md plus every file in references/, read only if the agent opens them
~2.9k

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check: notes

The automated check noted patterns worth knowing about, such as sudo or a known installer.

  • NotePre-approves every shell command (allowed-tools: Bash)SKILL.md
    allowed-tools: Bash, Read

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); the scripts in this folder are not scanned.

SKILL.md

Without a licence we can't republish the file, so here is its outline and opening line. It has 300 words (~1,071 tokens).

“Provide script-driven convergence analysis for verifying that numerical solutions converge at the expected rate as the mesh or timestep is refined.”

— opening of SKILL.md by FreedomIntelligence
name
convergence-study
allowed-tools
Bash, Read

Read the full SKILL.md on GitHub

Files

SKILL.md and 6 other files (scripts, references) in skills/convergence-study of FreedomIntelligence/OpenClaw-Medical-Skills.

  • SKILL.md
  • references/convergence_theory.md
  • references/gci_guidelines.md
  • scripts/dt_refinement.py
  • scripts/gci_calculator.py
  • scripts/h_refinement.py
  • scripts/richardson_extrapolation.py

Open the folder on GitHubat commit b1f9b6e

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in FreedomIntelligence/OpenClaw-Medical-Skills, which our catalogue first saw on October 9, 2026.

Compare with similar skills

Convergence Study next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Convergence Study compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Convergence Study this skillFreedomIntelligence/OpenClaw-Medical-Skills3.1k1 repos~1.1kAutomated safety check: NotesNone
Indexabilitythedaviddias/Front-End-Checklist74k—~814Automated safety check: PassMIT
Hex Grid Spatialbenchflow-ai/skillsbench1.8k—~690Automated safety check: PassApache-2.0
Indexability Conflictsthedaviddias/Front-End-Checklist74k—~876Automated safety check: PassMIT
Study Plananthropics/claude-for-legal9.6k3 repos~3.5kAutomated safety check: PassApache-2.0
Index Refreshpaperclipai/paperclip99k—~994Automated safety check: PassMIT

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Questions about Convergence Study

What does Convergence Study do?

Spatial and temporal convergence analysis with Richardson extrapolation and Grid Convergence Index (GCI) for solution verification. Convergence Study is an agent skill from FreedomIntelligence/OpenClaw-Medical-Skills.

How do I install Convergence Study in Claude Code?

Run `npx skills add FreedomIntelligence/OpenClaw-Medical-Skills --skill convergence-study -a claude-code`. Or copy the skill folder (skills/convergence-study in FreedomIntelligence/OpenClaw-Medical-Skills) into .claude/skills/convergence-study in your project. Claude Code loads it when a task matches its description.

How do I install Convergence Study in Codex?

Run `npx skills add FreedomIntelligence/OpenClaw-Medical-Skills --skill convergence-study -a codex`. Or copy the skill folder (skills/convergence-study in FreedomIntelligence/OpenClaw-Medical-Skills) into .agents/skills/convergence-study in your project. Codex loads it when a task matches its description.

Can I use Convergence Study in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add FreedomIntelligence/OpenClaw-Medical-Skills --skill convergence-study -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/convergence-study, .gemini/skills/convergence-study, .github/skills/convergence-study and .opencode/skills/convergence-study in your project.

What does Convergence Study need to run?

Going by SKILL.md and its folder, Convergence Study needs Python for the scripts in its folder and the command-line tools its instructions call (python3). Our summary lists: Python 3. Its frontmatter pre-approves these tools: Bash, Read.

Does Convergence Study access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Convergence Study safe to install?

Our automated static check of SKILL.md found notes only (pre-approves every shell command (allowed-tools: bash)), nothing it rates as a warning. It is not a guarantee. The check reads SKILL.md only: the scripts in the folder are not scanned, so read them before running anything.

What licence does Convergence Study use?

No licence was found for Convergence Study or its repository. Without one, default copyright applies: ask the author before reusing or redistributing it.

How many tokens does Convergence Study use?

About 1.1k tokens (SKILL.md is roughly 4.3k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full. Its references folder adds about 1.8k tokens, read only when the agent opens those files.

What are the alternatives to Convergence Study?

Skills that share tags, products or a category with Convergence Study: Indexability (thedaviddias/Front-End-Checklist, 74k stars), Hex Grid Spatial (benchflow-ai/skillsbench, 1.8k stars), Indexability Conflicts (thedaviddias/Front-End-Checklist, 74k stars) and Study Plan (anthropics/claude-for-legal, 9.6k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Convergence Study?

FreedomIntelligence (a GitHub organization) maintains it in FreedomIntelligence/OpenClaw-Medical-Skills, which has 3,053 GitHub stars. The repository holds 279 skills in this directory. The repository was last updated on July 21, 2026.

Source: FreedomIntelligence/OpenClaw-Medical-Skills on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.