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Pde solver library

Skill a5c-ai/babysitter/library/specializations/domains/science/mathematics/skills/pde-solver-library

Numerical methods for partial differential equationsFrom its SKILL.md

Install
npx -y skills add a5c-ai/babysitter --skill pde-solver-library

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SKILL.md

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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

What ships with it

Read from the repository

Just SKILL.md. No reference files, no scripts.

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