72 citations · 363 across the 68 of their papers we have counts for
4 papers · 1 filter
Solving differential equations with unknown constitutive relations as recurrent neural networks
Tobias Hagge, Panos Stinis, Enoch Yeung +1
We solve a system of ordinary differential equations with an unknown functional form of a sink (reaction rate) term. We assume that the measurements (time series) of state variable…
Stochastic basis adaptation and spatial domain decomposition for PDEs with random coefficients
Ramakrishna Tipireddy, Panos Stinis, Alexandre Tartakovsky
We present a novel uncertainty quantification approach for high-dimensional stochastic partial differential equations that reduces the computational cost of polynomial chaos method…
Renormalized Reduced Order Models with Memory for Long Time Prediction
Jacob Price, Panos Stinis
We examine the challenging problem of constructing reduced models for the long time prediction of systems where there is no timescale separation between the resolved and unresolved…
Dynamic Looping of a Free-Draining Polymer
Felix X. -F. Ye, Panos Stinis, Hong Qian
We revisit the celebrated Wilemski-Fixman (WF) treatment for the looping time of a free-draining polymer. The WF theory introduces a sink term into the Fokker-Planck equation for t…