4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
Automated analysis of continuum fields from atomistic simulations using statistical machine learning
Aruna Prakash, Stefan Sandfeld
Atomistic simulations of the molecular dynamics/statics kind are regularly used to study small scale plasticity. Contemporary simulations are performed with tens to hundreds of mil…
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…