38 citations · 117 across the 10 of their papers we have counts for
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A Fast Volume Integral Equation Solver with Linear Basis Functions for the Accurate Computation of Electromagnetic Fields in MRI
Ioannis P. Georgakis, Ilias I. Giannakopoulos, Mikhail S. Litsarev +1
A stable volume integral equation (VIE) solver based on polarization/magnetization currents is presented, for the accurate and efficient computation of the electromagnetic scatteri…
Memory footprint reduction for the FFT-based volume integral equation method via tensor decompositions
Ilias I. Giannakopoulos, Mikhail S. Litsarev, Athanasios G. Polimeridis
We present a method of memory footprint reduction for FFT-based, electromagnetic (EM) volume integral equation (VIE) formulations. The arising Green's function tensors have low mul…
A low-rank approach to the computation of path integrals
M. S. Litsarev, I. V. Oseledets
We present a method for solving the reaction-diffusion equation with general potential in free space. It is based on the approximation of the Feynman-Kac formula by a sequence of c…