71 citations · 141 across the 11 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.NA2019★ 71 cited
Lagrangian Dynamic Mode Decomposition for Construction of Reduced-Order Models of Advection-Dominated Phenomena
Hannah Lu, Daniel M. Tartakovsky
Proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) are two complementary singular-value decomposition (SVD) techniques that are widely used to construct red…
math.OC2019★ 15 cited
Fast uncertainty quantification of reservoir simulation with variational U-Net
Larry Jin, Hannah Lu, Gege Wen
Quantification of uncertainty in production/injection forecasting is an important aspect of reservoir simulation studies. Conventional approaches include intrusive Galerkin-based m…
math.NA2019★ 10 cited
Predictive Accuracy of Dynamic Mode Decomposition
Hannah Lu, Daniel M. Tartakovsky
Dynamic mode decomposition (DMD), which the family of singular-value decompositions (SVD), is a popular tool of data-driven regression. While multiple numerical tests demonstrated…