173 citations · 1.2k across the 31 of their papers we have counts for
5 papers · 1 filter
Normalizing field flows: Solving forward and inverse stochastic differential equations using physics-informed flow models
Ling Guo, Hao Wu, Tao Zhou
We introduce in this work the normalizing field flows (NFF) for learning random fields from scattered measurements. More precisely, we construct a bijective transformation (a norma…
A well-conditioned direct PinT algorithm for first-and second-order evolutionary equations
Jun Liu, Xiang-Sheng Wang, Shu-Lin Wu +1
In this paper, we propose a direct parallel-in-time (PinT) algorithm for time-dependent problems with first- or second-order derivative. We use a second-order boundary value method…
Optimal design for kernel interpolation: applications to uncertainty quantification
Akil Narayan, Liang Yan, Tao Zhou
The paper is concerned with classic kernel interpolation methods, in addition to approximation methods that are augmented by gradient measurements. To apply kernel interpolation us…
A new discrete energy technique for multi-step backward difference formulas
Honglin Liao, Tao Tang, Tao Zhou
The backward differentiation formula (BDF) is a useful family of implicit methods for the numerical integration of stiff differential equations. It is well noticed that the stabili…
Stability implies robust convergence of a class of preconditioned parallel-in-time iterative algorithms
Shu-Lin Wu, Tao Zhou, Zhi Zhou
Solving evolutionary equations in a parallel-in-time manner is an attractive topic and many algorithms are proposed in recent two decades. The algorithm based on the block -circ…