We present a comparison of several modern C++ libraries providing high-level interfaces for
programming multi-and many-core architectures on top of CUDA or OpenCL. The …

We numerically investigate the characteristics of chaos evolution during wave-packet
spreading in two typical one-dimensional nonlinear disordered lattices: the Klein-Gordon …

By utilizing the theoretical tools of optical thermodynamics, we investigate thermalization in
nonlinear disordered lattices beyond the diffusion regime. Even under extreme levels of …

We study the scaling properties of energy spreading in disordered strongly nonlinear
Hamiltonian lattices. Such lattices consist of nonlinearly coupled local linear or nonlinear …

We implement several symplectic integrators, which are based on two part splitting, for
studying the chaotic behavior of one-and two-dimensional disordered Klein–Gordon lattices …

The dynamic equations for the fluxes through the superconducting quantum interference
devices (SQUIDs) that form a two-dimensional metamaterial on a Lieb lattice are derived …

In the study of subdiffusive wave-packet spreading in disordered Klein–Gordon (KG)
nonlinear lattices, a central open question is whether the motion continues to be chaotic …

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 …

We investigate the dynamics of highly polydisperse finite granular chains. From the
spatiospectral properties of small vibrations, we identify which particular single-particle …

In this chapter we will discuss the mechanisms of wave packet spreading in nonlinear
disordered lattice systems. More specifically, we will consider cases when the …