📜 Theorem, law or theory

Courant–Friedrichs–Lewy (CFL) condition

Condición de Courant-Friedrichs-Lewy (CFL)

Date
1928 · confidence high
Place
Göttingen, Germany
Credited to
Richard Courant, Kurt Friedrichs and Hans Lewy
Field
Knowledge & symbols

What was discovered

The Courant–Friedrichs–Lewy (CFL) condition is a necessary condition for the convergence of certain numerical methods for solving partial differential equations, typically hyperbolic ones: it requires the time step to be smaller than a bound related to the spatial step. It was described by Richard Courant, Kurt Friedrichs and Hans Lewy in a 1928 paper.

What it led to

  • Standard stability criterion in numerical simulation of fluids and waves
  • Use in numerical weather prediction and computational fluid dynamics
  • Basis for designing explicit time-integration schemes
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Made possible

Links

Sources✓ verified 2026-09-28