computational-physics
Numerical simulation of physical systems
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- Repository
- ffsshhttiikk/opencode-agents-skills
- Last source activity
- February 28, 2026 at 22:48
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- English
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- 3
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SKILL.md
Source instructions · Read-only preview- name
- computational-physics
- description
- Numerical simulation of physical systems
- license
- MIT
- compatibility
- opencode
- metadata
- {"audience":"programmers","category":"physics"}
## What I do
- Implement numerical integration methods (Runge-Kutta, Verlet)
- Solve partial differential equations (finite difference, FEM)
- Monte Carlo simulations for statistical systems
- Implement spectral methods (FFT-based solutions)
- Optimize computational performance for physics problems
- Validate simulations against analytical solutions
## When to use me
When analytical solutions are intractable and numerical simulation is needed for physical systems.
## Key Concepts
- **Finite Difference**: Approximate derivatives as (f(x+h) - f(x))/h
- **Runge-Kutta 4th Order**: y_{n+1} = y_n + (k₁ + 2k₂ + 2k₃ + k₄)/6 with staged evaluations
- **Verlet Integration**: Symplectic method preserving energy for molecular dynamics
- **Fast Fourier Transform**: O(N log N) for solving PDEs in spectral space
- **Monte Carlo**: Random sampling for integration in high dimensions
- **Finite Element Method**: Mesh-based solution for complex geometries
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