4 citations · 4 across the 4 of their papers we have counts for
4 papers · 1 filter
A Fast-Convergence Resolution of the Stochastic Eigenproblem Using Halley's Method and the Spectral-Chaos Approach
Hugo Esquivel, Kabir Oluwatobi Idowu, Guang Lin
Solving stochastic eigenvalue problems has long been essential for informed decision-making, advancing scientific knowledge, and ensuring the reliability of engineering designs and…
Multi-element flow-driven spectral chaos (ME-FSC) method for uncertainty quantification of dynamical systems
Hugo Esquivel, Arun Prakash, Guang Lin
The flow-driven spectral chaos (FSC) is a recently developed method for tracking and quantifying uncertainties in the long-time response of stochastic dynamical systems using the s…
Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems
Hugo Esquivel, Arun Prakash, Guang Lin
For decades, uncertainty quantification techniques based on the spectral approach have been demonstrated to be computationally more efficient than the Monte Carlo method for a wide…
Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems
Hugo Esquivel, Arun Prakash, Guang Lin
Uncertainty quantification techniques such as the time-dependent generalized polynomial chaos (TD-gPC) use an adaptive orthogonal basis to better represent the stochastic part of t…