activity
20192023
most citedSimulation of non-stationary and non-Gaussian random processes by 3rd-order Spectral Representation Method: Theory and POD implementation

16 citations · 25 across the 6 of their papers we have counts for

collaborators

6 papers

physics.flu-dyn2023

Simulation of non-Gaussian wind field as a -order stochastic wave

Lohit Vandanapu, Michael D. Shileds

This paper presents a methodology for the simulation of non-Gaussian wind field as a stochastic wave using the 3rd-order Spectral Representation Method. Traditionally, the wind fie…

cs.SE2023

UQpy v4.1: Uncertainty Quantification with Python

Dimitrios Tsapetis, Michael D. Shields, Dimitris G. Giovanis +9

This paper presents the latest improvements introduced in Version 4 of the UQpy, Uncertainty Quantification with Python, library. In the latest version, the code was restructured t…

cs.LG2022

A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems

Katiana Kontolati, Dimitrios Loukrezis, Dimitris G. Giovanis +2

Constructing surrogate models for uncertainty quantification (UQ) on complex partial differential equations (PDEs) having inherently high-dimensional stoc…

math.ST2021★ 16 cited

Simulation of non-stationary and non-Gaussian random processes by 3rd-order Spectral Representation Method: Theory and POD implementation

Lohit Vandanapu, Michael D. Shields

This paper introduces the -order Spectral Representation Method for simulation of non-stationary and non-Gaussian stochastic processes. The proposed method extends the clas…

math.ST2019★ 4 cited

3rd-order Spectral Representation Method: Part II -- Ergodic Multi-variate random processes with fast Fourier transform

Lohit Vandanapu, Michael D. Shields

The second in a two-part series, this paper extends the 3rd-order Spectral Representation Method for simulation of ergodic multi-variate stochastic processes according to a prescri…

math.ST2019★ 5 cited

3rd-order Spectral Representation Method: Part I -- Multi-dimensional random fields with fast Fourier transform implementation

Lohit Vandanapu, Michael D. Shields

This paper introduces a generalised 3rd-order Spectral Representation Method for the simulation of multi-dimensional stochastic fields with asymmetric non-linearities. The simulate…