Individual skill
pde-solvers
Solving partial differential equations numerically — finite differences, stability, boundary conditions, and verification.
skills/pde-solvers/SKILL.md
Source commit faf37c0859ebf627bfcb5225e8057d088691e0ae
What was checked
- Matches the observed repository HEAD
- Yes
- Scanner rules are current
- No
- Repository scan complete
- No
- Skill scan complete
- No
- Observed behavior
- Not checked yet
- Last checked
- Nov 8, 2026
These are observations at the recorded commit, not a guarantee of safety. Review the source before running it.
Install this skill
Choose an agent in your Stack or copy a command below. Commands fetch the pinned commit and copy only this skill directory. Existing destinations are refused. Copying a command does not install anything.
An install command is unavailable: current rules, complete repository and skill scans, an eligible behavior level and a permitted license are required.
Repository context
- Repository stars (not skill ratings)
- 54
- Repository last updated
- Oct 10, 2026
- License
- MIT
Observed agent integration: No specific integration evidence. Standard SKILL.md installation does not imply verified compatibility.
- agent-skills Repository topic
- ai-agents Repository topic
- ai-agents-automation Repository topic
- ai-skills Repository topic
- awesome Repository topic
- awesome-list Repository topic
- chatgpt Repository topic
- claude-skills Repository topic
- meta-ai Repository topic
- muse-ai Repository topic
- engineering Derived category
Files and excerpt
File metadata and permitted, redacted excerpts come from the recorded scan. Source links are pinned to that commit.
Browse files
Read excerpt
## Overview
PDEs describe heat, waves, fluids, diffusion, and fields — most of
continuum physics. This skill covers discretizing PDEs with finite
differences (and when to reach for finite elements/volumes), stability
analysis (CFL condition), boundary-condition implementation, and the
verification discipline (method of manufactured solutions, convergence
tests) that distinguishes a solver from a random-number generator.
## When to use
- Solving heat/diffusion, wave, advection, or Poisson problems numerically
- Choosing explicit vs implicit time stepping for a stiff or multiscale problem
- Implementing boundary conditions (Dirichlet, Neumann, periodic, absorbing)