KnowraLocal truncation errorLinked fromLinked fromThe 5 pages that link to Local truncation error, each with the reason it gives.All 5Related 5Runge–Kutta methodsRelated: Its order describes how quickly a Runge–Kutta step's error shrinks as the step size decreases.Euler methodRelated: The Euler method’s one-step error is generally proportional to the square of the step size.Lax equivalence theoremRelated: Consistency makes this one-step defect vanish as the mesh is refined.Crank–Nicolson methodRelated: Its leading time-step error is third order, yielding second-order global accuracy.Numerical methods for ordinary differential equationsRelated: It measures the error introduced by each step formula before errors accumulate.