The Lipschitz Constant $L$ of a [[Quadrature|Numerical Integration]] solver (in relation to [[Differential Equations]]) is a [[Real Numbers|Real Number]] that bounds how quickly a [[Lipshitz Continuity|Lipshitz Continuous]] [[Function]] can grow.
$\huge
L = \max \frac{f(t,y_{2})-f(t,y_{1})}{y_{2}-y_{1}}
$
For any $t$ in our [[Domain]] and any $y_{1},y_{2}$.
Alternatively,
$ \huge \begin{align}
L &= \max \frac{\partial f(t,y)}{\partial y}
\end{align}
$