A Family of Trigonometrically-Fitted Symmetric Methods for the Efficient Solution of the Schrödinger Equation and Related Problems

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An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems (2009, methodology): “Many methods have been developed for the numerical approximation of the above problem (for more details see [1–49]).”
Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation (2010, methodology): “– In [14, 15, 30–35, 45, 49, 63] exponentially and trigonometrically-fitted multistep methods of several orders are developed.”
High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation (2012, methodology): “The aim and scope of this research is the construction of fast and reliable algorithms for the solution of the Schrödinger equation and related problems (see for example [4–127]).”
A family of explicit linear six-step methods with vanished phase-lag and its first derivative (2014, methodology): “– Exponentially and trigonometrically multistep methods have been produced in [87–107].”