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In this work, we present a stroboscopic detection technique for the study of oscillating nanoscale objects. This optical read-out gives a position accuracy better than 1 nm which is a fraction of both the diffraction limit and the pixel size. The advantage of this stroboscopic method compared to conventional time-averaging techniques, is the time-resolution it provides as well as being non-invasiv
Wave propagators are introduced for transient wave propagation in a general one-dimensional medium. The definition of wave propagators is based upon a wave splitting technique. Several properties for the propagators are given and the relations between the method of propagators and the invariant imbedding method and the Green function approach are discussed.
The traditional multiscale approach couples two models operating at different scales. An alternative modelling strategy, called peridynamics originally developed by [1], is to continualize the molecular dynamic models, thus replacing inhomogeneities present on smaller length scales by an enhanced continuum description on larger length scales resulting in a nonlocal reformulation of continuum mecha
