3 papers
math.NA2020
Alternating Energy Minimization Methods for Multi-term Matrix Equations
Kookjin Lee, Howard C. Elman, Catherine E. Powell +1
We develop computational methods for approximating the solution of a linear multi-term matrix equation in low rank. We follow an alternating minimization framework, where the solut…
math.NA2020
Parameter-robust Stochastic Galerkin mixed approximation for linear poroelasticity with uncertain inputs
Arbaz Khan, Catherine E. Powell
Linear poroelasticity models have a number of important applications in biology and geophysics. In particular, Biot's consolidation model is a well-known model that describes the c…
stat.CO2019
A Locally Adaptive Bayesian Cubature Method
Matthew A Fisher, Chris J Oates, Catherine Powell +1
Bayesian cubature (BC) is a popular inferential perspective on the cubature of expensive integrands, wherein the integrand is emulated using a stochastic process model. Several app…