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ідея - Tensor Network Methods
An Efficient Multi-Impurity Bond-Weighted Tensor Renormalization Group Method for Calculating Higher-Order Moments of Physical Quantities in Two-Dimensional Systems
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 Space-Time Spectral Collocation Method for Time Dependent Convection-Diffusion-Reaction Equations
Tensor Network Methods offer efficient solutions for high-dimensional PDEs.
Tensor Network Space-Time Spectral Collocation Method for Time Dependent Convection-Diffusion-Reaction Equations
Emerging tensor network techniques offer efficient solutions to high-dimensional PDEs.
Tensor Network Space-Time Spectral Collocation Method for Time-Dependent Convection-Diffusion-Reaction Equations
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.
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