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math.NA2025
Accelerated Kaczmarz methods via randomized sketch techniques for solving consistent linear systems
Haochen Jiang, Dongdong Liu, Xianping Wu +1
Motivated by the randomized sketch to solve a variety of problems in scientific computation, we improve both the maximal weighted residual Kaczmarz method and the randomized block…
math.NA2023
Unfitted Spectral Element Method for interfacial models
Nicolas Gonzalez, Hailong Guo, Xu Yang
In this paper, we propose the unfitted spectral element method for solving elliptic interface and corresponding eigenvalue problems. The novelty of the proposed method lies in its…
math.NA2023
Temporal Difference Learning for High-Dimensional PIDEs with Jumps
Liwei Lu, Hailong Guo, Xu Yang +1
In this paper, we propose a deep learning framework for solving high-dimensional partial integro-differential equations (PIDEs) based on the temporal difference learning. We introd…