1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.NA2025
Reduced basis solvers for unfitted methods on parameterized domains
Nicholas Mueller, Santiago Badia, Yiran Zhao
In this paper, we present a unified framework for reduced basis approximations of parametrized partial differential equations defined on parameter-dependent domains. Our approach c…
math.NA2024
A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
Nicholas Mueller, Yiran Zhao, Santiago Badia +1
In this manuscript, we introduce the tensor-train reduced basis method, a novel projection-based reduced-order model designed for the efficient solution of parameterized partial di…
math.NA2023★ 1 cited
Tensor-train methods for sequential state and parameter learning in state-space models
Yiran Zhao, Tiangang Cui
We consider sequential state and parameter learning in state-space models with intractable state transition and observation processes. By exploiting low-rank tensor train (TT) deco…