Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations

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IMEX Runge-Kutta schemes for reaction-diffusion equations (2008, background): “8) Several authors [1,3,8,13] have already studied properties of IMEX Runge–Kutta schemes for PDEs.”
Well‐balanced positivity preserving central‐upwind scheme for the shallow water system with friction terms (2015, unknown): “, [1, 18, 19, 21, 34, 35].”
Implicit-explicit runge-kutta schemes and applications to hyperbolic systems with relaxation (2010, unknown): “In this case the scheme is not able to treat the so called “initial layer” problem and degradation of accuracy in the stiff limit is expected (see Section 5 and references [10, 36, 35].”
On an accurate third order implicit-explicit Runge--Kutta method for stiff problems (2009, methodology): “Pareschi Russo’s problem [20], is a simple prototype of stiff system of the form (1), which contains both non-stiff and stiff term.”
Semi-implicit spectral deferred correction methods for ordinary differential equations (2003, methodology): “(See [27] for an analysis of W-methods).”