numerical-stability

What problem does it solve?

Analyze and enforce numerical stability for time-dependent PDE simulations. Use when selecting time steps, choosing explicit/implicit schemes, diagnosing numerical blow-up, checking CFL/Fourier criteria, von Neumann analysis, matrix conditioning, or detecting stiffness in advection/diffusion/reaction problems.

Core Features & Use Cases

• Stability assessment: CFL/Fourier/Reaction checks for explicit schemes.
• Stiffness detection: identify stiff dynamics via eigenvalues or Jacobians.
• Diagnostics: von Neumann and conditioning checks for solver readiness.
• Conversational workflows: quick, actionable guidance to stabilize runs.

Quick Start

Example: check CFL limits python3 scripts/cfl_checker.py --dx 0.01 --dt 1e-4 --diffusivity 1e-3 --dimensions 2 --json