Individual skill
numerical-stability
Analyze and enforce numerical stability for time-dependent PDE simulations. Use when selecting time steps, choosing explicit/implicit schemes, diagnosing numerical blow-up, checking CFL/Fourier criteria, von Neumann analysis, matrix conditioning, or detecting stiffness in advection/diffusion/reaction problems.
skills/numerical-stability/SKILL.md
Source commit b1f9b6e3306f8d870e23b2023057bf730090036f
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- Observed behavior
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- Last checked
- Nov 9, 2026
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Repository context
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- 3,099
- Repository last updated
- Jul 21, 2026
- License
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SKILL.mdcore · 6,008 bytesSKILL.mdcore · 6,008 bytesSKILL.mdcore · 6,008 bytesreferences/common_pitfalls.mddoc · 6,489 bytesreferences/scheme_catalog.mddoc · 5,374 bytesreferences/stability_criteria.mddoc · 5,055 bytesscripts/cfl_checker.pyruns · 7,235 bytesscripts/matrix_condition.pyruns · 4,369 bytesscripts/requirements.txtdoc · 12 bytesscripts/stiffness_detector.pyruns · 3,504 bytesscripts/von_neumann_analyzer.pyruns · 4,244 bytes
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