169 citations · 837 across the 31 of their papers we have counts for
4 papers · 1 filter
Bayesian Inference over the Stiefel Manifold via the Givens Representation
Arya A Pourzanjani, Richard M Jiang, Brian Mitchell +2
We introduce an approach based on the Givens representation for posterior inference in statistical models with orthogonal matrix parameters, such as factor models and probabilistic…
Topological Methods for Polymeric Materials: Characterizing the Relationship Between Polymer Entanglement and Viscoelasticity
Eleni Panagiotou, Ken Millett, Paul J. Atzberger
We develop topological methods for characterizing the relationship between polymer chain entanglement and bulk viscoelastic responses. We introduce generalized Linking Number and W…
Electrostatics of Colloidal Particles Confined in Nanochannels: Role of Double-Layer Interactions and Ion-Ion Correlations
Inderbir S. Sidhu, Amalie L. Frischknecht, Paul J. Atzberger
We perform computational investigations of electrolyte-mediated interactions of charged colloidal particles confined within nanochannels. We investigate the role of discrete ion ef…
Spectral Numerical Exterior Calculus Methods for Differential Equations on Radial Manifolds
Ben J. Gross, Paul J. Atzberger
We develop exterior calculus approaches for partial differential equations on radial manifolds. We introduce numerical methods that approximate with spectral accuracy the exterior…