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- 仓库
- ffsshhttiikk/opencode-agents-skills
- 最近来源活动
- 2026年2月28日 22:53
- 检测到的 SKILL.md 语言
- 英语
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SKILL.md
来源说明 · 只读预览- name
- numerical-analysis
- description
- Numerical approximation methods
- license
- MIT
- compatibility
- opencode
- metadata
- {"audience":"programmers","category":"mathematics"}
## What I do
- Implement numerical integration (quadrature)
- Solve nonlinear equations numerically
- Approximate derivatives and integrals
- Interpolate data points
- Solve linear systems iteratively
- Analyze numerical stability and error
## When to use me
When analytical solutions are unavailable and numerical approximation is needed.
## Key Concepts
- **Numerical Error**: Truncation (method) + rounding (floating point) errors
- **Newton-Raphson**: x_{n+1} = x_n - f(x_n)/f'(x_n) for root finding
- **Gaussian Quadrature**: Optimal nodes/weights for exact polynomial integration
- **Lagrange Interpolation**: Polynomial through given points
- **Condition Number**: κ = ||A||·||A^{-1}|| measures problem sensitivity
- **Iterative Solvers**: Jacobi, Gauss-Seidel, Conjugate Gradient methods
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