L-stability explained

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

\phi(z) \to 0 as z \to inf ty , 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 +inf ty is the same as the limit as z \to -inf ty ). L-stable methods are in general very good at integrating stiff equations.

References

• .