most citedSolving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process

1 citations · 1 across the 1 of their papers we have counts for

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3 papers

math.NA2025

PASE: A Massively Parallel Augmented Subspace Eigensolver for Large Scale Eigenvalue Problems

Yangfei Liao, Haochen Liu, Hehu Xie +1

In this paper, we present a novel parallel augmented subspace method and build a package Parallel Augmented Subspace Eigensolver (PASE) for solving large scale eigenvalue problems…

math.NA2023

Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators

Yifan Wang, Zhongshuo Lin, Yangfei Liao +2

In this paper, based on the combination of tensor neural network and a posteriori error estimator, a novel type of machine learning method is proposed to solve high-dimensional bou…

math.NA2022★ 1 cited

Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process

Yangfei Liao, Yifan Wang, Hehu Xie

In this paper, we propose a tensor type of discretization and optimization process for solving high dimensional partial differential equations. First, we design the tensor type of…