Symmetric Eighth Algebraic Order Methods with Minimal Phase-Lag for the Numerical Solution of the Schrödinger Equation

90 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Exponentially and Trigonometrically Fitted Methods for the Solution of the Schrödinger Equation (2010, background): “–I n [ 55 ]a nd [39] the development of methods with minimal phase-lag is studied.”
A family of explicit linear six-step methods with vanished phase-lag and its first derivative (2014, methodology): “(see for more details [1–121] and references therein).”
High algebraic order methods with vanished phase-lag and its first derivative for the numerical solution of the Schrödinger equation (2010, methodology): “In [ 89 ] a hybrid eight-step eighth algebraic order family of explicit methods is 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]).”
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]).”