This paper introduces a novel multi-impurity method within the bond-weighted tensor renormalization group (BWTRG) framework to efficiently compute higher-order moments of physical quantities in two-dimensional systems, demonstrating superior accuracy and computational efficiency compared to conventional methods.
Tensor Network Methods offer efficient solutions for high-dimensional PDEs.
Emerging tensor network techniques offer efficient solutions to high-dimensional PDEs.
The author introduces a Tensor Train Chebyshev spectral collocation method for solving time-dependent convection-diffusion-reaction equations, showcasing exponential convergence and high compression of linear operators.