Frequency evaluation in exponential fitting multistep algorithms for ODEs

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The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs (2012, background): “Introduction Stiff differential equations arise in fluid mechanics, elasticity, electrical networks, chemical reactions, and many other areas of physical importance [1–5].”
Exponentially fitted variable two-step BDF algorithm for first order ODEs☆ (2003, methodology): “As also explained in [2], the two ef algorithms should be considered as a pair out of which the appropriate one is selected in terms of the problem.”
Frequency evaluation for exponentially fitted Runge-Kutta methods (2005, methodology): “The system is also used in the papers [16,29] on frequency evaluation algorithms for EF methods.”
On the generation of P-stable exponentially fitted Runge-Kutta-Nyström methods by exponentially fitted Runge-Kutta methods (2006, methodology): “[11,13,14] have shown that the applicability of EF methods is much larger: an EF-based algorithm for first-order ODEs was derived and applied to some stiff problems which have no connection with oscillatory problems.”
Smoothing schemes for reaction-diffusion systems with nonsmooth data (2009, background): “Other types of exponential time-stepping schemes can be found in [11,18,29,30].”