Abstract Solutions of partial differential equations can exhibit multiple time scales. Standard discretization techniques are constrained to capture the finest scale accurately predict response system. In this paper, we provide an alternative route circumvent prohibitive meshes arising from necessity capturing fine-scale behaviors. The proposed methodology is based on a time-separated represent...

The accuracy of the National Research Council 2.1 m cesium beam frequency standard has been re-evaluated using the two NRC hydrogen masers as stable comparison standards. At the time of re-evaluation, the various uncertainties gave rise to an error limit of :!:3.8 x 10-12, with a most probable value of :!:1.5 x 10-12 if they were assumed to be random. Mter application of all corrections, the ag...