numerical-integration
HeshamFS/materials-simulation-skillsSelect and configure time integration methods for ODE and PDE simulations — choose among explicit Runge-Kutta, BDF, Rosenbrock, and Adams families, set…
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
- 1,611 words with worked examples.
- Ships 13 bundled files.
Install
npx skills add HeshamFS/materials-simulation-skills/numerical-integrationWhat it says it does
Select and configure time integration methods for ODE and PDE simulations — choose among explicit Runge-Kutta, BDF, Rosenbrock, and Adams families, set relative and absolute error tolerances, implement adaptive step-size control with P/PI step-size controllers, plan IMEX operator splitting for mixed stiff and non-stiff terms, and estimate splitting errors. Use when picking an integrator for a new simulation, diagnosing step rejections or tolerance failures, setting up operator splitting for phase-field or reaction-diffusion problems, or deciding between explicit and implicit time marching, even if the user only says "my solver keeps rejecting steps" or "which ODE method should I use."
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-stabilityHeshamFS/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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