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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."

Install

npx skills add HeshamFS/materials-simulation-skills --skill numerical-stability -a claude-code

Installs to .claude/skills/numerical-stability/ · Each command fetches the skill straight from GitHub with the open skills CLI.

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Byte-identical to the scanned commit, with the repository’s licence and a SOURCE.txt.

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