differentiation-schemes agent skill by HeshamFS

At a glance

Before you install

Read from the skill's files at the directory's October 19, 2026 snapshot: what ships with it, what its code reads, and the terms it is published under.

• Bundled scripts: 3 script files (3 Python). Your agent may run them, so read them first.
• Tool permissions requested: Read, Bash, Write, Grep, Glob (the allowed-tools field of SKILL.md).
• License: Apache-2.0, an open-source or open-content license.

Install differentiation-schemes

The skills CLI works with Claude Code, Codex, Cursor and other agents; the other routes copy the folder by hand.

npx skills add https://github.com/HeshamFS/materials-simulation-skills/tree/main/skills/core-numerical/differentiation-schemes

tmp="$(mktemp -d)"
git clone --depth 1 https://github.com/HeshamFS/materials-simulation-skills.git "$tmp/repo"
mkdir -p .claude/skills
cp -R "$tmp/repo/"skills/core-numerical/differentiation-schemes .claude/skills/
rm -rf "$tmp"

python3 ~/.codex/skills/.system/skill-installer/scripts/install-skill-from-github.py \
    --repo HeshamFS/materials-simulation-skills \
    --path skills/core-numerical/differentiation-schemes

HeshamFS/materials-simulation-skills is third-party code. Read SKILL.md and any bundled scripts before you install it.

How the author describes it

Select and apply numerical differentiation schemes for PDE and ODE discretization — generate finite-difference stencils at arbitrary order and accuracy, choose between central, upwind, compact (Pade), and spectral methods, handle boundary stencils, and estimate truncation error scaling. Use when discretizing spatial derivatives, picking a scheme for advection- or diffusion-dominated problems, building custom stencils for nonstandard operators, or comparing dispersion and dissipation properties of candidate schemes, even if the user just says "how do I approximate this derivative" or "my solution is too diffusive."

From the description field of SKILL.md. Agents read this line to decide when to load the skill.

Sections in SKILL.md

• Goal
• Requirements
• Inputs to Gather
• Decision Guidance
• Scheme Selection Flowchart
• Quick Reference
• Script Outputs (JSON Fields)
• Workflow
• Conversational Workflow Example
• Pre-Discretization Checklist
• CLI Examples
• Error Handling
• Interpretation Guidance
• Stencil Properties
• Truncation Error Scaling
• Common Stencils

Files in the skill folder

• CHANGELOG.md
• SKILL.md
• evals/evals.json
• 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

Suede Skill Check: 82/100 · B

differentiation-schemes passes the required frontmatter check and all seven graded checks, which cover the SKILL.md format, a declared license and a commit in the last year. Those checks earn 56 of the score’s points; the rest come from description quality, instruction depth, bundled files, maintenance and curated-list citations. How the score works.

Where this skill is cited

HeshamFS/materials-simulation-skills appears in 2 curated lists: BehiSecc/awesome-claude-skills, VoltAgent/awesome-agent-skills.

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