Babysitter pde-solver-library

Numerical methods for partial differential equations

install

source · Clone the upstream repo

git clone https://github.com/a5c-ai/babysitter

Claude Code · Install into ~/.claude/skills/

T=$(mktemp -d) && git clone --depth=1 https://github.com/a5c-ai/babysitter "$T" && mkdir -p ~/.claude/skills && cp -r "$T/library/specializations/domains/science/mathematics/skills/pde-solver-library" ~/.claude/skills/a5c-ai-babysitter-pde-solver-library && rm -rf "$T"

manifest: library/specializations/domains/science/mathematics/skills/pde-solver-library/SKILL.md

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

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

Tools/Libraries

FEniCS
deal.II
PETSc
Firedrake