L-stability is a concept related to numerical analysis, particularly in the context of solving ordinary differential equations (ODEs) and partial differential equations (PDEs) using numerical methods. It is a property of a numerical method that ensures stable behavior when applied to stiff problems. In essence, L-stability refers to the ability of a numerical method to dampen apparent oscillations or instabilities that arise from stiff components of the solution, particularly as the step size tends to zero.
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