Blanes S., Casas F.: Splitting methods for non-autonomous separable dynamical systems. J. Phys. A. Math. Gen. 39, 5405–5423 (2006)
Blanes S., Casas F., Murua A.: Symplectic splitting operator methods tailored for the time-dependent Schrödinger equation. J. Chem. Phys. 124, 234105 (2006)
Blanes S., Casas F., Murua A.: Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84, 713–727 (2007)
[+]
Blanes S., Casas F.: Splitting methods for non-autonomous separable dynamical systems. J. Phys. A. Math. Gen. 39, 5405–5423 (2006)
Blanes S., Casas F., Murua A.: Symplectic splitting operator methods tailored for the time-dependent Schrödinger equation. J. Chem. Phys. 124, 234105 (2006)
Blanes S., Casas F., Murua A.: Splitting methods for non-autonomous linear systems. Int. J. Comput. Math. 84, 713–727 (2007)
Blanes S., Casas F., Murua A.: On the linear stability of splitting methods. Found. Comp. Math. 8, 357–393 (2008)
Blanes S., Casas F., Murua A.: Splitting and composition methods in the numerical integration of differential equations. Bol. Soc. Esp. Math. Apl. 45, 87–143 (2008)
Blanes, S., Casas, F., Murua, A.: Error analysis of splitting methods for the time dependent Schrödinger equation. arXiv:1001.1549 (2011)
Blanes S., Casas F., Oteo J.A., Ros J.: The Magnus expansion and some of its applications. Phys. Rep. 470, 151–238 (2009)
Blanes S., Casas F., Ros J.: Improved high order integrators based on Magnus expansion. BIT 40, 434–450 (2000)
Blanes S., Diele F., Marangi C., Ragni S.: Splitting and composition methods for explicit time dependence in separable dynamical systems. J. Comput. Appl. Math. 235, 646–659 (2010)
Blanes S., Moan P.C.: Practical symplectic partitioned Runge–Kutta and Runge–Kutta–Nyström methods. J. Comput. Appl. Math. 142, 313–330 (2002)
Gray S., Manolopoulos D.E.: Symplectic integrators tailored to the time-dependent Schrödinger equation. J. Chem. Phys. 104, 7099–7112 (1996)
Gray S., Verosky J.M.: Classical Hamiltonian structures in wave packet dynamics. J. Chem. Phys. 100, 5011–5022 (1994)
Hairer E., Lubich C., Wanner G.: Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations, 2nd ed. Springer, Berlin (2006)
Iserles A., Munthe-Kaas H.Z., Nørsett S.P., Zanna A.: Lie group methods. Acta Numer. 9, 215–365 (2000)
Leimkuhler B., Reich S.: Simulating Hamiltonian Dynamics. Cambridge University Press, Cambridge (2004)
Magnus W.: On the exponential solution of differential equations for a linear operator. Commun. Pure Appl. Math. 7, 649–673 (1954)
McLachlan R.I, Quispel R.: Splitting methods. Acta Numer. 11, 341–434 (2002)
McLachlan R.I, Quispel R.G.W.: Geometric integrators for ODEs. J. Phys. A. Math. Gen. 39, 5251–5285 (2006)
Rieben R., White D., Rodrigue G.: High-order symplectic integration methods for finite element solutions to time dependent Maxwell equations. IEEE Trans. Antennas Propag. 52, 2190–2195 (2004)
Sanz-Serna J.M., Calvo M.P.: Numerical Hamiltonian Problems. Chapman & Hall, London (1994)
Sanz-Serna J.M., Portillo A.: Classical numerical integrators for wave-packet dynamics. J. Chem. Phys. 104, 2349–2355 (1996)
Sofroniou M., Spaletta G.: Derivation of symmetric composition constants for symmetric integrators. Optim. Methods Softw. 20, 597–613 (2005)
Walker R.B., Preston K.: Quantum versus classical dynamics in treatment of multiple photon excitation of anharmonic-oscillator. J. Chem. Phys. 67, 2017–2028 (1977)
[-]