Free SKILL.md scraped from GitHub. Clone the repo or copy the file directly into your Claude Code skills directory.
npx versuz@latest install a5c-ai-babysitter-library-specializations-domains-science-mathematics-skills-pde-sgit clone https://github.com/a5c-ai/babysitter.gitcp babysitter/SKILL.MD ~/.claude/skills/a5c-ai-babysitter-library-specializations-domains-science-mathematics-skills-pde-s/SKILL.md--- name: pde-solver-library description: Numerical methods for partial differential equations allowed-tools: - Bash - Read - Write - Edit - Glob - Grep metadata: specialization: mathematics domain: science category: numerical-analysis phase: 6 --- # 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