3 papers
math.NA2026
Multilevel Adaptive-Rank Methods for Linear and Nonlinear Systems in the Hierarchical Tucker Format
William A. Sands, Pierson T. Guthrey, Nathan V. Roberts
We develop multilevel adaptive-rank iterative methods for the solution of linear and nonlinear systems arising from high-dimensional partial differential equations. Our contributio…
physics.comp-ph2026
Tensor Train Representation of High-Dimensional Unsteady Flamelet Manifolds
Sinan Demir, Pierson Guthrey, Jason Burmark +3
This study, for the first time, investigates the use of tensor trains (TTs) to represent high-dimensional unsteady flamelet progress variable (UFPV) manifolds in chemically reactin…
physics.comp-ph2025
Tensor Networks for Liquids in Heterogeneous Systems
Zachary A. Johnson, Luciano G. Silvestri, Pierson Guthrey +1
Many-body correlations in strongly coupled liquids and plasmas are critical for many applications in nanofluids, biology, and fusion-related plasma physics, but their description i…