5 papers
A two-dimensional structural local-defect theory for scalar non-divergence advection-diffusion homogenization
Jizu Huang, Yong Ma
We develop a two-dimensional structural local-defect theory for scalar non-divergence advection--diffusion operators \(Lu=-a:D^2u+b\cdot\nabla u\), where \(a=a^{\mathrm{per}}+a^e\)…
Derivation of Runge--Kutta Order Conditions via Functional Tree Tensor Networks
Junyuan He, Zhonghao Sun, Jizu Huang
Tree tensor networks (TTNs) provide a compact and structured representation of high-dimensional data, making them valuable in various areas of computational mathematics and physics…
HaTT: Hadamard avoiding TT recompression
Zhonghao Sun, Jizu Huang, Chuanfu Xiao +1
The Hadamard product of tensor train (TT) tensors is a fundamental nonlinear operation in scientific computing and data analysis. However, due to its tendency to significantly incr…
CPAFT: A Consistent Parallel Advancing Front Technique for Unstructured Triangular/Tetrahedral Mesh Generation
Chengdi Ma, Jizu Huang, Hao Luo +1
Compared with the remarkable progress made in parallel numerical solvers of partial differential equations,the development of algorithms for generating unstructured triangular/tetr…
APTT: An accuracy-preserved tensor-train method for the Boltzmann-BGK equation
Zhitao Zhu, Chuanfu Xiao, Kejun Tang +2
Solving the Boltzmann-BGK equation with traditional numerical methods suffers from high computational and memory costs due to the curse of dimensionality. In this paper, we propose…