L-stability

Within mathematics regarding differential equations, 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 $\varphi (z)\to 0$ as $z\to \mathrm{\infty }$, where $\varphi$ is the stability function of the method (the stability function of a Runge–Kutta method is a rational function and thus the limit as $z\to +\mathrm{\infty }$ is the same as the limit as $z\to -\mathrm{\infty }$). L-stable methods are in general very good at integrating stiff equations.

References

• .