Analyze and enforce numerical stability for time-dependent PDE simulations.

No licenceAuto-check: notes

Install Numerical Stability

skills CLI
$ npx skills add FreedomIntelligence/OpenClaw-Medical-Skills --skill numerical-stability -a claude-code

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

GitHub CLI
$ gh skill install FreedomIntelligence/OpenClaw-Medical-Skills numerical-stability --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/numerical-stability .claude/skills/numerical-stability && 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
numerical-stability
GitHub stars
3.1k
Used in
1 other repo
Token cost
~1.5k tokens
SKILL.md length
481 words
Files
9 (incl. scripts, references)
Skills in repo
279
Repo updated
First seen
Licence
None found

At a glance

Analyze and enforce numerical stability for time-dependent PDE simulations.

  • Works in 7 steps: Identify dominant physics (advection vs… → Run CFL checker with… → Compare to limits and adjust dt if needed → …
  • Selecting time steps
  • SKILL.md covers Goal, Requirements, Inputs to Gather and Decision Guidance, plus 10 more sections
  • Runs Python scripts from its folder; calls python3

What it does

Numerical Stability is an agent skill from FreedomIntelligence/OpenClaw-Medical-Skills. Analyze and enforce numerical stability for time-dependent PDE simulations. Use when selecting time steps, choosing explicit/implicit schemes, diagnosing numerical blow-up, checking CFL/Fourier criteria, von Neumann analysis, matrix conditioning, or detecting stiffness in advection/diffusion/reaction problems.

Its SKILL.md is about 1.5k tokens, which your agent loads only when the skill is triggered. The skill folder holds 10 other files, including scripts and reference files (for example `references/common_pitfalls.md`, `references/scheme_catalog.md` and `references/stability_criteria.md`).

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

When your agent uses it

  • Selecting time steps
  • Choosing explicit/implicit schemes
  • Diagnosing numerical blow-up
  • Checking CFL/Fourier criteria

Example prompts

  • “/numerical-stability”

Requirements

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

Workflow steps

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

  1. Identify dominant physics (advection vs diffusion vs reaction)
  2. Run CFL checker with scripts/cfl_checker.py
  3. Compare to limits and adjust dt if needed
  4. Check stiffness with scripts/stiffness_detector.py if multiple scales
  5. Analyze custom schemes with scripts/von_neumann_analyzer.py
  6. Check conditioning with scripts/matrix_condition.py for implicit solves
  7. Document the stability verdict and recommended time step

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:

    • Read
    • Bash
    • Write
    • Grep
    • Glob

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Ships 5 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

Numerical Stability loads about 1.5k tokens when it runs, and up to ~5.7k if it reads all its reference files. Until then it costs about 83 tokens; SKILL.md has 481 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~83
When it runs · the whole SKILL.md, loaded when a task matches
~1.5k
With references · SKILL.md plus every file in references/, read only if the agent opens them
~5.7k

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: Read, Bash, Write, Grep, Glob

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 481 words (~1,486 tokens).

“Provide a repeatable checklist and script-driven checks to keep time-dependent simulations stable and defensible.”

— opening of SKILL.md by FreedomIntelligence
name
numerical-stability
allowed-tools
Read, Bash, Write, Grep, Glob

Read the full SKILL.md on GitHub

Files

SKILL.md and 8 other files (scripts, references) in skills/numerical-stability of FreedomIntelligence/OpenClaw-Medical-Skills.

  • SKILL.md
  • references/common_pitfalls.md
  • references/scheme_catalog.md
  • references/stability_criteria.md
  • scripts/cfl_checker.py
  • scripts/matrix_condition.py
  • scripts/requirements.txt
  • scripts/stiffness_detector.py
  • scripts/von_neumann_analyzer.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

Numerical Stability 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.

Numerical Stability compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Numerical Stability this skillFreedomIntelligence/OpenClaw-Medical-Skills3.1k1 repos~1.5kAutomated safety check: NotesNone
Dependency Scanningsickn33/agentic-awesome-skills47k1 repos~2.4kAutomated safety check: PassMIT
Dependency Checkruvnet/ruflo74k—~258Automated safety check: PassMIT
Enforcing Stability In CIrosuH/EasyWatermark1.9k1 repos~4kAutomated safety check: PassApache-2.0
Dependency Updatecodewhale-hq/Codewhale41k—~142Automated safety check: PassMIT
Bump Sentry Dependencygetsentry/sentry46k—~815Automated safety check: PassCustom licence

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Questions about Numerical Stability

What does Numerical Stability do?

Analyze and enforce numerical stability for time-dependent PDE simulations. Numerical Stability is an agent skill from FreedomIntelligence/OpenClaw-Medical-Skills. Analyze and enforce numerical stability for time-dependent PDE simulations.

When should I use Numerical Stability?

Numerical Stability fits situations like: selecting time steps; choosing explicit/implicit schemes; diagnosing numerical blow-up; checking CFL/Fourier criteria.

How do I install Numerical Stability in Claude Code?

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

How do I install Numerical Stability in Codex?

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

Can I use Numerical Stability 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 numerical-stability -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/numerical-stability, .gemini/skills/numerical-stability, .github/skills/numerical-stability and .opencode/skills/numerical-stability in your project.

What does Numerical Stability need to run?

Going by SKILL.md and its folder, Numerical Stability 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: Read, Bash, Write, Grep, Glob.

Does Numerical Stability 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 Numerical Stability 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 Numerical Stability use?

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

How many tokens does Numerical Stability use?

About 1.5k tokens (SKILL.md is roughly 5.9k 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 4.2k tokens, read only when the agent opens those files.

What are the alternatives to Numerical Stability?

Skills that share tags, products or a category with Numerical Stability: Dependency Scanning (sickn33/agentic-awesome-skills, 47k stars), Dependency Check (ruvnet/ruflo, 74k stars), Enforcing Stability In CI (rosuH/EasyWatermark, 1.9k stars) and Dependency Update (codewhale-hq/Codewhale, 41k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Numerical Stability?

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.