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.
Install
npx skills add HeshamFS/materials-simulation-skills --skill numerical-stabilitynpx skills add HeshamFS/materials-simulation-skills --skill numerical-stability -a claude-code -gnpx skills add HeshamFS/materials-simulation-skills --skill numerical-stability -a codex -ggemini skills install https://github.com/HeshamFS/materials-simulation-skills.git --path skills/core-numerical/numerical-stabilitygh skill install HeshamFS/materials-simulation-skills numerical-stabilitygit clone --depth 1 https://github.com/HeshamFS/materials-simulation-skills /tmp/HeshamFS__materials-simulation-skills
mkdir -p ~/.claude/skills ~/.agents/skills
cp -R /tmp/HeshamFS__materials-simulation-skills/skills/core-numerical/numerical-stability ~/.claude/skills/numerical-stability # Claude Code
cp -R /tmp/HeshamFS__materials-simulation-skills/skills/core-numerical/numerical-stability ~/.agents/skills/numerical-stability # Codex, Cursor, Gemini CLI, Copilot, OpenCode