The mean first passage time (MFPT) is calculated for a Brownian particle in a spherical
domain in R^3 that contains N small nonoverlapping absorbing windows, or traps, on its …

The mean first passage time (MFPT) is calculated for a Brownian particle in a bounded two-
dimensional domain that contains N small nonoverlapping absorbing windows on its …

In 1977 Berg and Purcell published a landmark paper entitled Physics of Chemoreception,
which examined how a bacterium can sense a chemical attractant in the fluid surrounding it …

Accurate evaluation of layer potentials is crucial when boundary integral equation methods
are used to solve partial differential equations. Quadrature by expansion (QBX) is a recently …

In this paper we present the “random walk on the boundary” method for the rapid solution of
integral equations that arise in electrostatics and related areas. This method is a Monte …

The analysis of fluid damping in micro‐electro‐mechanical systems (MEMS) is addressed. A
mixed fast multipole boundary element method based on both velocity and traction integral …

We present a new, unified approach to the solution of the elastance problem in electrostatics
and the mobility problem in Stokes flow. More precisely, we construct integral …

We discuss the variable order Fast Multipole Method (FMM) applied to piecewise constant
Galerkin discretizations of boundary integral equations. In this version of the FMM low-order …

Integral equation methods are an important class of methods for solving elliptic boundary
value problems. The main advantages of integral equation methods are that they lead to …

Boundary-element methods (BEMs) for solving integral equations numerically have been
used in many fields to compute the induced charges at dielectric boundaries. In this paper …