# Pde Solver Library

> Numerical methods for partial differential equations

- Skill: `a5c-ai/pde-solver-library` (Agent Skill)
- Install (CLI): `npx skillmds@latest add a5c-ai/pde-solver-library`
- Raw SKILL.md: https://api.skillmd.com/api/skills/a5c-ai/pde-solver-library/raw
- Safety review: pending (external: skill-scanner PASS, skillspector PASS)
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: a5c-ai (https://skillmd.com/u/a5c-ai)
- Updated: 2026-09-09
- Page: https://skillmd.com/skills/a5c-ai/pde-solver-library

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# PDE Solver Library

## Purpose

Provides numerical methods and solvers for partial differential equations in mathematical modeling and simulation.

## Capabilities

- Finite difference schemes (explicit, implicit, Crank-Nicolson)
- Finite element methods (FEM)
- Finite volume methods
- Spectral methods
- Mesh generation and adaptation
- Stability and convergence analysis

## Usage Guidelines

1. **Method Selection**: Choose method based on PDE type and geometry
2. **Mesh Quality**: Ensure appropriate mesh resolution
3. **Stability Analysis**: Verify CFL conditions and stability
4. **Convergence**: Monitor solution convergence with refinement

## Tools/Libraries

- FEniCS
- deal.II
- PETSc
- Firedrake