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physics.comp-ph2015
On the symplectic integration of the discrete nonlinear Schrödinger equation with disorder
Enrico Gerlach, Jan Meichsner, Charalampos Skokos
We present several methods, which utilize symplectic integration techniques based on two and three part operator splitting, for numerically solving the equations of motion of the d…
physics.comp-ph2013★ 27 cited
High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete nonlinear Schroedinger equation
Ch. Skokos, E. Gerlach, J. D. Bodyfelt +2
While symplectic integration methods based on operator splitting are well established in many branches of science, high order methods for Hamiltonian systems that split in more tha…
physics.comp-ph2009
On the Numerical Computability of Asteroidal Lyapunov Times
E. Gerlach
Chaos indicators, like the Lyapunov exponent lambda, are widely used in celestial mechanics to characterize the dynamical behavior of bodies. The stability of their orbit can be de…