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numerical-stability

97 / 100 · Low risk

Fine to try.

By HeshamFS/materials-simulation-skills (GitHub) · other · 83 stars · scanned at commit 7750559

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."

Works with any agent that supports SKILL.md skills.

What this skill can do

Install

Paste this into your terminal. It downloads exactly the version we scanned, not whatever is newest.

if [ -e ~/.agents/skills/'numerical-stability' ] || [ -L ~/.agents/skills/'numerical-stability' ]; then echo 'A skill folder named numerical-stability already exists — not replacing it' >&2; false; else d=$(mktemp -d) && git clone --quiet --filter=blob:none --no-checkout 'https://github.com/HeshamFS/materials-simulation-skills' "$d" && git -C "$d" checkout --quiet '775055956bb8fa3838032c49a346e26d94d0d1f6' -- 'skills/core-numerical/numerical-stability' && mkdir -p ~/.agents/skills && cp -R "$d"/'skills/core-numerical/numerical-stability' ~/.agents/skills/'numerical-stability' && rm -rf "$d"; fi

Codex reads ~/.agents/skills directly. For Claude Code, Cursor, Copilot, Gemini CLI, Antigravity or OpenCode, also link it. For Claude Code: ln -s ~/.agents/skills/'numerical-stability' ~/.claude/skills/'numerical-stability' (other agents: ~/.cursor/skills, ~/.copilot/skills, ~/.gemini/skills, ~/.gemini/config/skills, ~/.config/opencode/skills). Or install through the finder skill, which does both.

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