32 citations · 33 across the 2 of their papers we have counts for
2 papers
math.NA2021★ 1 cited
Reduced order modeling with time-dependent bases for PDEs with stochastic boundary conditions
Prerna Patil, Hessam Babaee
Low-rank approximation using time-dependent bases (TDBs) has proven effective for reduced-order modeling of stochastic partial differential equations (SPDEs). In these techniques,…
physics.comp-ph2019★ 32 cited
Real-Time Reduced-Order Modeling of Stochastic Partial Differential Equations via Time-Dependent Subspaces
Prerna Patil, Hessam Babaee
We present a new methodology for the real-time reduced-order modeling of stochastic partial differential equations called the dynamically/bi-orthonormal (DBO) decomposition. In thi…