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."
How to install numerical-stability?
heshamfs/materials-simulation-skills/numerical-stability
$npx -y skills add heshamfs/materials-simulation-skills --skill numerical-stabilityInstalls into the current project.
›Prefer a prompt? Paste this to your agent
Run `npx skills use "https://github.com/heshamfs/materials-simulation-skills" --skill "heshamfs/materials-simulation-skills/numerical-stability"` and follow the generated skill instructions now. Read its complete output, redirecting it to a temporary file first if necessary. Resolve relative paths from the supporting-files directory it provides.
Use the skills in "https://github.com/heshamfs/materials-simulation-skills" that are relevant to the current task. Run `npx skills add "https://github.com/heshamfs/materials-simulation-skills"` and select the relevant skills, then follow their instructions.
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