In this paper, we study the effect of enhancing GPU-accelerated Krylov solvers with preconditioners. We consider the BiCGSTAB, CGS, QMR, and IDR (s) Krylov solvers. For a …
Large-scale simulations play a central role in science and the industry. Several challenges occur when building simulation software, because simulations require complex software …
Computational fluid dynamics (CFD) simulations of viscous fluids described by the Navier- Stokes equations are considered. Depending on the Reynolds number of the flow, the …
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 …
Z Tang, H Zhang, J Chen - … 2022 Workshop: New Frontiers in Graph …, 2022 - openreview.net
Solving large sparse linear systems is ubiquitous in science and engineering, generally requiring iterative solvers and preconditioners, as many problems cannot be solved …
Sparse triangular solve (SpTRSV) is an important linear algebra kernel, finding extensive uses in numerical and scientific computing. The parallel implementation of SpTRSV is a …
H Zou, X Xu, CS Zhang - arXiv preprint arXiv:2310.06630, 2023 - arxiv.org
Efficiently solving sparse linear algebraic equations is an important research topic of numerical simulation. Commonly used approaches include direct methods and iterative …
Numerical simulation processes in scientific and engineering applications require efficient solutions of large sparse linear systems, and variants of Krylov subspace solvers with …
HB Sonmezer, N Muhtaroglu, I Ari… - Concurrency and …, 2022 - Wiley Online Library
Computer aided engineering (CAE) practices improved drastically within the last decade due to ease of access to computing resources and open‐source software. However …