numerical-stability
HeshamFS/materials-simulation-skillsAnalyze numerical stability for time-dependent PDE simulations — check CFL and Fourier criteria, perform von Neumann stability analysis, detect stiffness,…
Scores out of 100 · grade B+
2026-08-13Works
40% of the score100/100
- Loads cleanly: valid frontmatter, required fields present, no dangling references.
Maintained
25% of the score82/100
- no commits in the last 12 weeks
Adopted
20% of the score25/100
- 62 stars on the source repo.
Documented
15% of the score100/100
- 1,767 words with worked examples.
- Ships 11 bundled files.
Install
npx skills add HeshamFS/materials-simulation-skills/numerical-stabilityWhat it says it does
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."
Also in HeshamFS/materials-simulation-skills
| Artifact | Score | What the check found | Type | Reach | Last commit |
|---|---|---|---|---|---|
| differentiation-schemesHeshamFS/materials-simulation-skills | clean | Skill | 62 stars | 2 months ago | |
| linear-solversHeshamFS/materials-simulation-skills | clean | Skill | 62 stars | 2 months ago | |
| mesh-generationHeshamFS/materials-simulation-skills | clean | Skill | 62 stars | 2 months ago | |
| numerical-integrationHeshamFS/materials-simulation-skills | clean | Skill | 62 stars | 2 months ago | |
| time-steppingHeshamFS/materials-simulation-skills | clean | Skill | 62 stars | 2 months ago | |
| parameter-optimizationHeshamFS/materials-simulation-skills | clean | Skill | 62 stars | 2 months ago |
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