Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

A number of problems in probability and statistics can be addressed using the multivariate
normal (Gaussian) distribution. In the one-dimensional case, computing the probability for a …

An important and computationally demanding part of molecular dynamics simulations is the
calculation of long-range electrostatic interactions. Today, the prevalent method to compute …

Optimizing k-space sampling trajectories is a promising yet challenging topic for fast
magnetic resonance imaging (MRI). This work proposes to optimize a reconstruction method …

This article describes a fast direct solver (ie, not iterative) for partial hierarchically semi-
separable systems. This solver requires a storage of\mathcal O (N\log N) O (N log N) and …

We present a global study of the crustal structure with emphasis on the twelve main cratons
of the earth. In an inverse scheme, satellite gravity gradient data from the GOCE mission are …

This article presents a fast solver for the dense “frontal” matrices that arise from the
multifrontal sparse elimination process of 3D elliptic PDEs. The solver relies on the fact that …

The stochastic geostatistical inversion approach is widely used in subsurface inverse
problems to estimate unknown parameter fields and corresponding uncertainty from noisy …

This paper introduces the hierarchical interpolative factorization for integral equations (HIF-
IE) associated with elliptic problems in two and three dimensions. This factorization takes the …

We describe our implementation of a parallel fast multipole method for evaluating potentials
for discrete and continuous source distributions. The first requires summation over the …