An FFT framework which preserves a good numerical performance in the case of domains
with large regions of empty space is proposed and analyzed for its application to lattice …

Nanoengineering has the potential to revolutionize medicine by designing drug delivery
systems that are both efficacious and highly selective. Determination of the affinity between …

The formation of new bone involves both the deposition of bone matrix, and the formation of
a network of cells embedded within the bone matrix, called osteocytes. Osteocytes derive …

Much of the literature on point interactions in quantum mechanics has focused on the
differential form of Schrödinger's equation. This paper, in contrast, investigates the integral …

We develop an approach on how to define single-point interactions under the application of
external fields. The essential feature relies on an asymptotic method based on the one-point …

A Robin boundary condition for the Navier–Stokes equations is used to model slip
conditions at the fluid-solid boundaries. A novel continuous boundary force (CBF) method is …

Several biological tissues undergo changes in their geometry and in their bulk material
properties by modelling and remodelling processes. Modelling synthesises tissue in some …

We present an efficient numerical method to quantify the spatial variation of glioma growth
based on subject-specific medical images using a mechanically-coupled tumor model. The …

Stationary solutions for the 1+ 1 cubic nonlinear Schrödinger equation modeling repulsive
Bose-Einstein condensates (BEC) in a small potential are obtained through a form of …

This paper studies the relationship between the atomistic representation of crystalline
dislocations as Kanzaki forces and the continuum representation of dislocations as Burridge …