Differentiation Schemes

Quality score: 70/100 · Category: General · Sub-category: general-misc

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."

What this skill does

Differentiation Schemes is a production-ready Claude Code skill (quality score 70/100) in the general-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/differentiation-schemes/ and loads when your prompt matches the skill's trigger.

When to invoke it: 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.

Who uses this skill

The Differentiation Schemes skill is built for Claude Code users and developers across all disciplines looking for general-purpose AI assistance. It is part of the open ClaudSkills registry, a community-curated catalog of 15,000+ capabilities you can install for Claude Code — the Claude CLI agent.

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/differentiation-schemes
curl -L https://claudskills.com/skills/differentiation-schemes/SKILL.md \
  -o ~/.claude/skills/differentiation-schemes/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/differentiation-schemes/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/differentiation-schemes/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\differentiation-schemes\SKILL.md on Windows. See the full install guide for step-by-step instructions.

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

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Part of ClaudSkills — the open registry for Claude Code skills. · What's New · Install guide · About · llms.txt

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