Select and apply numerical differentiation schemes for PDE/ODE discretization.

No licenceAuto-check: notes

Install Differentiation Schemes

skills CLI
$ npx skills add FreedomIntelligence/OpenClaw-Medical-Skills --skill differentiation-schemes -a claude-code

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

GitHub CLI
$ gh skill install FreedomIntelligence/OpenClaw-Medical-Skills differentiation-schemes --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/differentiation-schemes .claude/skills/differentiation-schemes && 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
differentiation-schemes
GitHub stars
3.1k
Used in
1 other repo
Token cost
~1.4k tokens
SKILL.md length
420 words
Files
8 (incl. scripts, references)
Skills in repo
170
Repo updated
First seen
Licence
None found

At a glance

Select and apply numerical differentiation schemes for PDE/ODE discretization.

  • Works in 5 steps: Identify requirements - derivative… → Select scheme - Run… → Generate stencils - Run… → …
  • Choosing finite difference/volume/spectral schemes
  • 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

Differentiation Schemes is an agent skill from FreedomIntelligence/OpenClaw-Medical-Skills. Select and apply numerical differentiation schemes for PDE/ODE discretization. Use when choosing finite difference/volume/spectral schemes, building stencils, handling boundaries, estimating truncation error, or analyzing dispersion and dissipation.

Its SKILL.md is about 1.4k tokens, which your agent loads only when the skill is triggered. The skill folder holds 9 other files, including scripts and reference files (for example `references/boundary_handling.md`, `references/error_guidance.md` and `references/scheme_selection.md`).

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

When your agent uses it

  • Choosing finite difference/volume/spectral schemes
  • Building stencils
  • Handling boundaries
  • Estimating truncation error

Example prompts

  • “/differentiation-schemes”

Requirements

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

Workflow steps

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

  1. Identify requirements - derivative order, accuracy, smoothness
  2. Select scheme - Run scripts/scheme_selector.py
  3. Generate stencils - Run scripts/stencil_generator.py
  4. Estimate error - Run scripts/truncation_error.py
  5. Validate - Test with manufactured solutions or grid refinement

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 3 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

Differentiation Schemes loads about 1.4k tokens when it runs, and up to ~8.3k if it reads all its reference files. Until then it costs about 68 tokens; SKILL.md has 420 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~68
When it runs · the whole SKILL.md, loaded when a task matches
~1.4k
With references · SKILL.md plus every file in references/, read only if the agent opens them
~8.3k

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 420 words (~1,372 tokens).

“Provide a reliable workflow to select a differentiation scheme, generate stencils, and assess accuracy for simulation discretization.”

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

Read the full SKILL.md on GitHub

Files

SKILL.md and 7 other files (scripts, references) in skills/differentiation-schemes of FreedomIntelligence/OpenClaw-Medical-Skills.

  • SKILL.md
  • references/boundary_handling.md
  • references/error_guidance.md
  • references/scheme_selection.md
  • references/stencil_catalog.md
  • scripts/scheme_selector.py
  • scripts/stencil_generator.py
  • scripts/truncation_error.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 7, 2026.

Compare with similar skills

Differentiation Schemes 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.

Differentiation Schemes compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Differentiation Schemes this skillFreedomIntelligence/OpenClaw-Medical-Skills3.1k1 repos~1.4kAutomated safety check: NotesNone
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Engine Selectionsickn33/agentic-awesome-skills47k1 repos~1.2kAutomated safety check: PassMIT
Numerical Integrationparcadei/Continuous-Claude-v33.9k1 repos~948Automated safety check: NotesMIT
Technology Selectiondotnet/skills5.6k2 repos~2.1kAutomated safety check: PassMIT
Numerical Methodsbrycewang-stanford/Auto-Empirical-Research-Skills4.5k—~1.9kAutomated safety check: PassCustom licence

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Questions about Differentiation Schemes

What does Differentiation Schemes do?

Select and apply numerical differentiation schemes for PDE/ODE discretization. Differentiation Schemes is an agent skill from FreedomIntelligence/OpenClaw-Medical-Skills. Select and apply numerical differentiation schemes for PDE/ODE discretization.

When should I use Differentiation Schemes?

Differentiation Schemes fits situations like: choosing finite difference/volume/spectral schemes; building stencils; handling boundaries; estimating truncation error.

How do I install Differentiation Schemes in Claude Code?

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

How do I install Differentiation Schemes in Codex?

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

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

What does Differentiation Schemes need to run?

Going by SKILL.md and its folder, Differentiation Schemes 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 Differentiation Schemes 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 Differentiation Schemes 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 Differentiation Schemes use?

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

How many tokens does Differentiation Schemes use?

About 1.4k tokens (SKILL.md is roughly 5.5k 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 6.9k tokens, read only when the agent opens those files.

What are the alternatives to Differentiation Schemes?

Skills that share tags, products or a category with Differentiation Schemes: Select Name (thedaviddias/Front-End-Checklist, 74k stars), Engine Selection (sickn33/agentic-awesome-skills, 47k stars), Numerical Integration (parcadei/Continuous-Claude-v3, 3.9k stars) and Technology Selection (dotnet/skills, 5.6k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Differentiation Schemes?

FreedomIntelligence (a GitHub organization) maintains it in FreedomIntelligence/OpenClaw-Medical-Skills, which has 3,052 GitHub stars. The repository holds 170 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.