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math.NA2026
Comb Tensor Network Finite-Difference Time-Domain Algorithms for 2D and 3D Electromagnetic Simulations
Jonathan Tabares, Erika Ye, Yang Liu
This paper presents efficient 2D and 3D finite-difference time-domain (FDTD) algorithms augmented by the comb tensor network (CTN) representation of the field and auxiliary quantit…
physics.comp-ph2026
A practical investigation on time integration in the quantized tensor train format
Erika Ye
Quantized tensor trains (QTTs) are a multiscale computational framework that can potentially reduce the computational cost of solving partial differential equations and initial val…