108 citations · 525 across the 62 of their papers we have counts for
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Coupled Multirate Infinitesimal GARK Schemes for Stiff Systems with Multiple Time Scales
Steven Roberts, Arash Sarshar, Adrian Sandu
Traditional time discretization methods use a single timestep for the entire system of interest and can perform poorly when the dynamics of the system exhibits a wide range of time…
A Class of Multirate Infinitesimal GARK Methods
Adrian Sandu
Differential equations arising in many practical applications are characterized by multiple time scales. Multirate time integration seeks to solve them efficiently by discretizing…
Design of High-Order Decoupled Multirate GARK Schemes
Arash Sarshar, Steven Roberts, Adrian Sandu
Multirate time integration methods apply different step sizes to resolve different components of the system based on the local activity levels. This local selection of step sizes a…
A Learning Based Approach for Uncertainty Analysis in Numerical Weather Prediction Models
Azam Moosavi, Vishwas Rao, Adrian Sandu
Complex numerical weather prediction models incorporate a variety of physical processes, each described by multiple alternative physical schemes with specific parameters. The selec…
Adjoint Sensitivity Analysis of Hybrid Multibody Dynamical Systems
Sebastien Corner, Corina Sandu, Adrian Sandu
Sensitivity analysis of multibody systems computes the derivatives of general cost functions that depend on the system solution with respect to parameters or initial conditions. Th…
A Machine Learning Approach to Adaptive Covariance Localization
Azam Moosavi, Ahmed Attia, Adrian Sandu
Data assimilation plays a key role in large-scale atmospheric weather forecasting, where the state of the physical system is estimated from model outputs and observations, and is t…