Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type

International audienceThe convergence behaviour of multi-revolution composition methods combined with time-splitting methods is analysed for highly oscillatory linear differential equations of Schrödinger type. Numerical experiments illustrate and complement the theoretical investigations. Mathematics Subject Classification. 34K33, 34G10, 35Q41, 65M12, 65N15