This course will introduce a unified approach of modeling in science and engineering across spatial and temporal scales using particles as well as continuum fields, specifically focusing on methods and algorithms that will facilitate this bridging. Topics include two categories of multiscale approaches: information-passing and concurrent-bridging approaches. The goal is to algorithmically develop these methods, and in the process teach the underlying simulation techniques. Applications to realistic problems will highlight the strengths of these approaches, while stressing the challenges that still need to be surmounted.
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