LogoClawIndex
CasesSkillsAbout
LogoClawIndex

numerical-stability - Check and enforce numerical stability for PDE simulations.

Analyze and enforce numerical stability for time-dependent PDE simulations, selecting time steps, and diagnosing blow-up.

Tags

Updated: 2026-09-16
pdenumerical-stabilitycflvon-neumann-analysisstiffnesssimulation

Capabilities

Check CFL and Fourier criteriaDetect stiffness in physical problemsPerform von Neumann stability analysisCheck matrix condition numbers

Typical Inputs

Grid spacingTime stepAdvection velocity

Typical Outputs

CFL and Fourier metricsRecommended time stepStability verdict

What this skill does

  • Check CFL and Fourier criteria
  • Detect stiffness in physical problems
  • Perform von Neumann stability analysis
  • Check matrix condition numbers
  • Recommend stable time steps

Inputs

  • Grid spacing
  • Time step
  • Advection velocity
  • Diffusivity
  • Reaction rate
  • Dimensions
  • Scheme type
  • Matrix file
  • Eigenvalue estimates

Outputs

  • CFL and Fourier metrics
  • Recommended time step
  • Stability verdict
  • Amplification factor results
  • Matrix condition number
  • Stiffness detection results

Requirements

  • Python 3.8+
  • NumPy
  • Dependencies from scripts/requirements.txt

Source

  • Spec: SKILL.md

ClawIndex

OpenClaw Skills & Use Case Index

ClawIndex is an ecosystem-driven index of OpenClaw skills and real-world use cases.

Index

Skills·
Cases

Meta

About·
Disclaimer·
Email·
GitHub
© 2026 ClawIndex All Rights Reserved.