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In this talk I discuss the role of the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) package in three different AMReX-based applications. In this context, SUNDIALS provides support for the overall temporal integration scheme of the model equations. We are particularly interested in the multirate infinitesimal (MRI) schemes, where different physical processes can be advanced using different time steps. Our initial application is in the context of combustion, where we show that we are able to achieve increased accuracy over our traditional spectral deferred corrections approach with greater computational efficiency. Our second application is in micromagnetic memory and storage devices where we demonstrate efficiency by leveraging the non-stiff nature of the computationally-expensive demagnetization processes. Our final application is low-power ferroelectric transistors where we also effectively leverage the non-stiff nature of the computationally-expensive Poisson process. In each case we show significant computational savings over our baseline codes.
