Amgt: Algebraic multigrid solver on tensor cores

Y Lu, L Zeng, T Wang, X Fu, W Li… - … Conference for High …, 2024 - ieeexplore.ieee.org
Algebraic multigrid (AMG) methods are particularly efficient to solve a wide range of sparse
linear systems, due to their good flexibility and adaptability. Even though modern parallel …

AutoAMG(): An Auto-tuned AMG Method Based on Deep Learning for Strong Threshold

H Zou, X Xu, CS Zhang, Z Mo - arXiv preprint arXiv:2307.09879, 2023 - arxiv.org
Algebraic Multigrid (AMG) is one of the most widely used iterative algorithms for solving
large sparse linear equations $ Ax= b $. In AMG, the coarse grid is a key component that …

求解压力Poisson 方程的混合粗化代数多重网格算法

胡少亮, 许开龙, 徐然, 刘再刚, 徐小文, 安恒斌… - 计算物理, 2023 - cjcp.org.cn
针对复杂流动中Navier-Stokes (NS) 方程SIMPLE 算法导出的压力Poisson (泊松)
离散线性系统, 提出一类基于混合粗化的代数多重网格(AMG) 算法. 该算法采用一类非光滑聚类 …

MiniBranRAP: 极小化分支判断数的AMG 粗网格矩阵计算并行算法

杜皓, 毛润彰, 邓蕴桐, 黄思路, 徐小文 - 计算机工程与科学, 2024 - joces.nudt.edu.cn
代数多重网格(AMG) 是科学工程计算与工业仿真领域求解大规模稀疏线性代数方程组最常用的
算法之一. 在启动(Setup) 阶段的每个网格层, AMG 需要基于限制算子R, 当前细网格层矩阵A …

三温能量方程离散线性系统的两层迭代算法收敛因子估计及特征分析

郝悦, 黄思路, 徐小文 - 计算物理, 2024 - cjcp.org.cn
基于代数多重网格(AMG) 方法的理论框架, 详细分析基于物理量粗化的两层迭代方法(PCTL)
算法的具体收敛性质, 刻画算法收敛因子的合理上界, 为PCTL 算法提供理论保证 …

Mixed Precision Block-Jacobi Preconditioner: Algorithms, Performance Evaluation and Feature Analysis

N Tian, S Huang, X Xu - arXiv preprint arXiv:2407.15973, 2024 - arxiv.org
In this paper, we propose two mixed precision algorithms for Block-Jacobi preconditioner
(BJAC): a fixed low precision strategy and an adaptive precision strategy. We evaluate the …

Convergence estimation and characteristic analysis of a two-level iterative algorithm for the discretized three-temperature energy linear systems

Y Hao, S Huang, X Xu - arXiv preprint arXiv:2211.10080, 2022 - arxiv.org
For solving the discretized three-temperature energy linear systems, Xu et al. proposed a
physical-variable based coarsening two-level iterative method (PCTL algorithm) in 2009 and …

[PDF][PDF] AutoAMG (B): An Auto-tuned AMG Method Based on Deep Learning for Strong Threshold

H Zou, X Xu, CS Zhang, Z Mo - 2024 - global-sci.com
Algebraic Multigrid (AMG) is one of the most widely used iterative algorithms for solving
large sparse linear equations Ax= b. In AMG, the coarse grid is a key component that affects …

MiniBranRAP: A minimizing branch parallel algorithm of the coarse matrix computation in AMG solver

H DU, R MAO, Y DENG, S HUANG… - Computer Engineering & …, 2024 - joces.nudt.edu.cn
Algebraic multi-grid (AMG) is one of the most commonly used algorithms for solving large-
scale sparse linear algebra equations in the field of scientific engineering computing and …

[PDF][PDF] A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations

X Yue, S Xia, C Chen, X Xu, S Shu - global-sci.com
Driven by the challenging task of pursuing the robust and accurate iterative numerical
solution of the three-dimensional flux-limited multi-group radiation diffusion equations in an …