L-stability

L-stability is a special case of A-stability, a property of Runge–Kutta methods for solving ordinary differential equations. A method is L-stable if it is A-stable and $\phi(z) \to 0$ as $z \to \infty$, where $\phi$ is the stability function of the method (the stability function of a Runge–Kutta method is a rational function and thus the limit as $z \to +\infty$ is the same as the limit as $z \to -\infty$). L-stable methods are in general very good at integrating stiff equations.

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