7 papers · 1 filter
Self-Affine Scaling of Earth's Islands
Matthew Oline, Jeremy Hoskins, David Seekell +2
Earth's relief is approximately self-affine, meaning a zoom-in on a small region looks statistically similar to a large region upon rescaling. Fractional Brownian surfaces give an…
High-order integral methods for the Neumann Green's function: applications to capture and signaling problems in two dimensions
Sanchita Chakraborty, Jeremy Hoskins, Alan E. Lindsay
We present a high order numerical method for the solution of the Neumann Green's function in two dimensions. For a general closed planar curve, our computational method resolves bo…
Surface layers and linearized water waves: a boundary integral equation framework
Travis Askham, Tristan Goodwill, Jeremy G Hoskins +2
The dynamics of surface waves traveling along the boundary of a liquid medium are changed by the presence of floating plates and membranes, contributing to a number of important ph…
Fast Multipole Method with Complex Coordinates
Tristan Goodwill, Leslie Greengard, Jeremy Hoskins +2
When solving problems of potential theory in unbounded layered media, recently developed integral equation methods rely on coordinate complexification to permit truncation of the c…
Complex Scaling for the Junction of Semi-infinite Gratings
Fruzsina J. Agocs, Tristan Goodwill, Jeremy Hoskins
We present and analyze an integral equation method for the scattering of a non-periodic source from a geometry consisting of two semi-infinite, periodic structures glued together i…
Complex scaling for open waveguides
Charles L. Epstein, Tristan Goodwill, Jeremy Hoskins +2
In this work we analyze the complex scaling method applied to the problem of time-harmonic scalar wave propagation in junctions between `leaky,' or open dielectric waveguides. In […
Integral equations for flexural-gravity waves: analysis and numerical methods
Travis Askham, Jeremy G. Hoskins, Peter Nekrasov +1
In this work, we develop a fast and accurate method for the scattering of flexural-gravity waves by a thin plate of varying thickness overlying a fluid of infinite depth. This prob…