Consistent numerical scheme

{
  "id": "MLC-T-MET-004613",
  "term": "Consistent numerical scheme",
  "field": "Meteorology and atmospheric science",
  "definition": "A numerical method used in atmospheric models where the discretized equations converge to the original continuous partial differential equations as the grid resolution and time step approach zero. A scheme's consistency is a necessary condition for the numerical solution to accurately represent the true solution of the governing physical laws. The Lax equivalence theorem states that for a linear problem, a consistent scheme is convergent if and only if it is stable.",
  "see_also": [
    "Lax equivalence theorem",
    "convergent numerical scheme",
    "stability"
  ],
  "url": "https://mlchart.com/terminology/meteorology/consistent-numerical-scheme/"
}