29 citations · 61 across the 7 of their papers we have counts for
8 papers
Fourth order accurate compact scheme for first-order maxwell's equations
Idan Versano, Eli Turkel, Semyon Tsynkov
We construct a compact fourth-order scheme, in space and time, for the time-dependent Maxwell's equations given as a first-order system on a staggered (Yee) grid. At each time step…
Denoising Convolution Algorithms and Applications to SAR Signal Processing
Alina Chertock, Chris Leonard, Semyon Tsynkov +1
Convolutions are one of the most important operations in signal processing. They often involve large arrays and require significant computing time. Moreover, in practice, the signa…
Finding the Shape of Lacunae of the Wave Equation Using Artificial Neural Networks
Alina Chertock, Christopher Leonard, Semyon Tsynkov
We apply a fully connected neural network to determine the shape of the lacunae in the solutions of the wave equation. Lacunae are the regions of quietness behind the trailing fron…
Non-iterative domain decomposition for the Helmholtz equation using the method of difference potentials
Evan North, Semyon Tsynkov, Eli Turkel
We use the Method of Difference Potentials (MDP) to solve a non-overlapping domain decomposition formulation of the Helmholtz equation. The MDP reduces the Helmholtz equation on ea…
Statistical characterization of scattering delay in synthetic aperture radar imaging
Mikhail Gilman, Semyon Tsynkov
Distinguishing between the instantaneous and delayed scatterers in synthetic aperture radar (SAR) images is important for target identification and characterization. To perform thi…
Detection of delayed target response in SAR
Mikhail Gilman, Semyon Tsynkov
Delayed target response in synthetic aperture radar (SAR) imaging can be obscured by the range-delay ambiguity and speckle. To analyze the range-delay ambiguity, one extends the st…