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Rank-Limiting Strategies for Optimizing Tensor-Train Finite-Difference Time-Domain Simulations

Scherzer, Jacob A. [The Ohio State University, Columbus, OH (United States)] (ORCID:0009000027081523)·Teixeira, Fernando L. [The Ohio State University, Columbus, OH (United States)] (ORCID:0000000215621462)
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Abstract

We introduce rank-limiting strategies to optimize tensor-train decompositions for three-dimensional finite-difference time-domain simulations using the relationship between the tensors and their specific dimensionality. These include the use of hard caps on the inner ranks of the tensor train decomposition and the use of a group rounding algorithm taking into account all field components simultaneously. Here, several numerical examples are considered to verify the efficacy of the proposed optimization strategies.

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY97 MATHEMATICS AND COMPUTINGFinite-difference time-domain (FDTD)electromagnetic simulationtensor decompositiontensor train (TT)

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Scherzer, Jacob A. [The Ohio State University, Columbus, OH (United States)] (ORCID:0009000027081523), Teixeira, Fernando L. [The Ohio State University, Columbus, OH (United States)] (ORCID:0000000215621462). 2026-06-24. Rank-Limiting Strategies for Optimizing Tensor-Train Finite-Difference Time-Domain Simulations. https://doi.org/10.1109/jmmct.2026.3707057

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