The imperative of physics-based modeling and inverse theory in computational science
117 Citations•2021•
Karen Willcox, Omar Ghattas, Patrick Heimbach
Inverse theory provides a crucial perspective for addressing the challenges of ill-posedness, uncertainty, nonlinearity and under-sampling in large-scale complex systems.
Abstract
To best learn from data about large-scale complex systems, physics-based models representing the laws of nature must be integrated into the learning process. Inverse theory provides a crucial perspective for addressing the challenges of ill-posedness, uncertainty, nonlinearity and under-sampling.