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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★ 2 cited
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…