Predictor-Corrector Methods for Dynamically Coupling Multiscale Simulation Codes

Applications in materials, medicine, and computers are being discovered where the control of events at the molecular and nanoscopic scales is critical to product quality, while the primary manipulation of these events during processing occurs at macroscopic length scales. In such applications, one of the most significant engineering challenges is to achieve control over phenomena that occur simultaneously at different length and time scales that can span in excess of ten orders of magnitude. With the limitation of the dynamic and local information that can be collected experimentally, multiscale computation is needed to provide predictions at all scales.