The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many
applications include image reconstruction, data analysis, and the numerical solution of …

The most popular algorithm for the nonuniform fast Fourier transform (NUFFT) uses the
dilation of a kernel ϕ to spread (or interpolate) between given nonuniform points and a …

The presence of surfactants alters the dynamics of viscous drops immersed in an ambient
viscous fluid. This is specifically true at small scales, such as in applications of droplet based …

This article presents a computational approach for determining the optimal slip velocities on
any given shape of an axisymmetric micro-swimmer suspended in a viscous fluid. The …

We present a new derivation of a boundary integral equation (BIE) for simulating the three-
dimensional dynamics of arbitrarily-shaped rigid particles of genus zero immersed in a …

We present a highly accurate numerical method based on a boundary integral formulation
and the leaky dielectric model to study the dynamics of surfactant-covered drops in the …

Nonuniform fast Fourier transforms dominate the computational cost in many applications
including image reconstruction and signal processing. We thus present a general-purpose …

We show that the standard boundary integral operators, defined on the unit sphere, for the
Stokes equations diagonalize on a specific set of vector spherical harmonics and provide …

When red blood cells (RBCs) experience non-physiologically high stresses, eg, in medical
devices, they can rupture in a process called hemolysis. Directly simulating this process is …

This paper presents a general high-order kernel regularization technique applicable to all
four integral operators of Calderón calculus associated with linear elliptic PDEs in two and …