Numerical Stability

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

type:debug

Analyze numerical stability for time-dependent PDE simulations — check CFL and Fourier criteria, perform von Neumann stability analysis, detect stiffness, evaluate matrix conditioning, and recommend explicit vs implicit time-stepping schemes. Use when selecting time steps, diagnosing numerical blow-up or solver divergence, checking convergence criteria, or evaluating scheme stability for advection, diffusion, or reaction problems, even if the user doesn't explicitly mention "stability" or "CFL."

What this skill does

Numerical Stability 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/numerical-stability/ and loads when your prompt matches the skill's trigger.

When to invoke it: Use when selecting time steps, diagnosing numerical blow-up or solver divergence, checking convergence criteria, or evaluating scheme stability for advection, diffusion, or reaction problems, even if the user doesn't explicitly mention "stability" or "CFL.

Who uses this skill

The Numerical Stability 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/numerical-stability
curl -L https://claudskills.com/skills/numerical-stability/SKILL.md \
  -o ~/.claude/skills/numerical-stability/SKILL.md

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

Skills live at ~/.claude/skills/numerical-stability/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\numerical-stability\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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