Agent skill · Science · HeshamFS

differentiation-schemes agent skill by HeshamFS

Selects and applies numerical differentiation schemes for PDE and ODE discretization, including finite-difference stencils, central, upwind, compact and spectral methods.

View on GitHub Read SKILL.md

At a glance

PublisherHeshamFS
RepositoryHeshamFS/materials-simulation-skills (24 listed skills)
CategoryScience and Research
LicenseApache-2.0
Last commitJune 25, 2026 (repository)
SKILL.md208 lines, 1,693 words
Bundled files10 files, including references, scripts
Quality score82/100 · B Passes all seven graded checks
Security scanNot scanned
README badgeGet the badges for this listing

Before you install

Read from the skill's files at the directory's October 22, 2026 snapshot: what ships with it, what its code reads, and the terms it is published under.

Install differentiation-schemes

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

Skills CLI
npx skills add https://github.com/HeshamFS/materials-simulation-skills/tree/main/skills/core-numerical/differentiation-schemes
Claude Code, project-level copy
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"
Codex, project-level copy
tmp="$(mktemp -d)"
git clone --depth 1 https://github.com/HeshamFS/materials-simulation-skills.git "$tmp/repo"
mkdir -p .agents/skills
cp -R "$tmp/repo/"skills/core-numerical/differentiation-schemes .agents/skills/
rm -rf "$tmp"

For a user-level install, copy the folder to ~/.claude/skills/ (Claude Code) or ~/.agents/skills/ (Codex). Inside Codex, $skill-installer can also fetch a skill from GitHub. New to skills? Read How to install agent skills in Claude Code, Codex and Cursor.

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

Files in the skill folder

Suede Skill Check: 82/100 · B

Report snapshot · · graded-v2

The rubric totals 100 points; published scores are capped at 99. Security scan: not scanned.

Source revision: fa1ce8de76b2. Report version 3d41a0284466. Badge URLs follow the latest listing; save the report to keep this version.

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What to review next

  • Recent maintenance: 3 of 9 points. 9 for a repository commit within 30 days of the snapshot; 6 within 90; 3 within 180; 1 within 365.
  • Boundary clause: 0 of 4 points. 4 when the description says when not to use the skill (“Not for …”, “Do not use …”, “Use … instead”).
  • Description length: 3 of 5 points. 5 for 150–600 characters; 3 for 100–900; 1 for 50–1,024.

Add declarations and bundled files when they describe the skill’s actual needs. Update the source, then request a fresh review with the changed commit or PR.

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.

See the checks and points
CheckResult
Frontmatter parses and declares a name and a descriptionPass
Name uses lowercase letters, digits and hyphens, 64 characters or fewerPass
Name matches the skill's folder namePass
Description is between 50 and 1,024 charactersPass
Description says when an agent should use the skillPass
SKILL.md body is 500 lines or fewerPass
A license is declared in the frontmatter or the repositoryPass
Repository has a commit in the last 12 monthsPass
Score componentPoints
Structural checks56 of 56
Description length3 of 5
Boundary clause0 of 4
Example request3 of 3
Instruction depth7 of 7
Reference files3 of 3
Bundled scripts2 of 2
Recent maintenance3 of 9
Curated-list citations3 of 7
Tool permissions declared2 of 2
Compatibility declared0 of 2

Two badges for differentiation-schemes

Suede Skill Check: 82/100Suede Skill Check: Grade B

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Where this skill is cited

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

All science and research skills

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