# Computational Physics

> Numerical simulation of physical systems

- Skill: `ffsshhttiikk/computational-physics` (Agent Skill)
- Install (CLI): `npx skillmds@latest add ffsshhttiikk/computational-physics`
- Raw SKILL.md: https://api.skillmd.com/api/skills/ffsshhttiikk/computational-physics/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- License: MIT
- Author: ffsshhttiikk (https://skillmd.com/u/ffsshhttiikk)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/ffsshhttiikk/computational-physics

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## 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