108 citations · 357 across the 15 of their papers we have counts for
15 papers
The Sparse-Grid-Based Adaptive Spectral Koopman Method
Bian Li, Yue Yu, Xiu Yang
The adaptive spectral Koopman (ASK) method was introduced to numerically solve autonomous dynamical systems that lay the foundation of numerous applications across different fields…
A general framework of rotational sparse approximation in uncertainty quantification
Mengqi Hu, Yifei Lou, Xiu Yang
This paper proposes a general framework to estimate coefficients of generalized polynomial chaos (gPC) used in uncertainty quantification via rotational sparse approximation. In pa…
Augmented Gaussian Random Field: Theory and Computation
Sheng Zhang, Xiu Yang, Samy Tindel +1
We propose the novel augmented Gaussian random field (AGRF), which is a universal framework incorporating the data of observable and derivatives of any order. Rigorous theory is es…
Physics-Informed CoKriging: A Gaussian-Process-Regression-Based Multifidelity Method for Data-Model Convergence
Xiu Yang, David Barajas-Solano, Guzel Tartakovsky +1
In this work, we propose a new Gaussian process regression (GPR)-based multifidelity method: physics-informed CoKriging (CoPhIK). In CoKriging-based multifidelity methods, the quan…
Physics-Information-Aided Kriging: Constructing Covariance Functions using Stochastic Simulation Models
Xiu Yang, Guzel Tartakovsky, Alexandre Tartakovsky
In this work, we propose a new Gaussian process regression (GPR) method: physics information aided Kriging (PhIK). In the standard data-driven Kriging, the unknown function of inte…
Engineering Structural Robustness in Power Grid Networks Susceptible to Coherent Swing Instability
Daniel Dylewsky, Xiu Yang, Alexandre Tartakovsky +1
Networked power grid systems are susceptible to a phenomenon known as Coherent Swing Instability (CSI), in which a subset of machines in the grid lose synchrony with the rest of th…