Neural incomplete factorization: learning preconditioners for the conjugate gradient method

P Häusner, O Öktem, J Sjölund - arXiv preprint arXiv:2305.16368, 2023 - arxiv.org
Finding suitable preconditioners to accelerate iterative solution methods, such as the
conjugate gradient method, is an active area of research. In this paper, we develop a …

Fourier neural solver for large sparse linear algebraic systems

C Cui, K Jiang, Y Liu, S Shu - Mathematics, 2022 - mdpi.com
Large sparse linear algebraic systems can be found in a variety of scientific and engineering
fields and many scientists strive to solve them in an efficient and robust manner. In this …

Momentum-Accelerated Richardson (m) and Their Multilevel Neural Solvers

Z Wang, Y Liu, C Cui, S Shu - arXiv preprint arXiv:2412.08076, 2024 - arxiv.org
Recently, designing neural solvers for large-scale linear systems of equations has emerged
as a promising approach in scientific and engineering computing. This paper first introduce …

Evolution of CFD as an engineering science. A personal perspective with emphasis on the finite volume method

AK Runchal - Comptes Rendus. Mécanique, 2022 - comptes-rendus.academie-sciences …
Computational Fluid Dynamics—CFD for short—is a comparatively recent development that
has made a significant impact in engineering sciences. The foundations of CFD were laid by …

GRADIENT METHOD FOR CORRECTING INCONSISTENT SYSTEMS OF LINEAR INEQUALITIES WITH THE MATRIX.

NDUY LE - Journal of the Balkan Tribological Association, 2023 - search.ebscohost.com
The problem of correction of inconsistent systems of linear inequalities with a matrix block
structure is relevant in the modern theory of correction of inconsistent models, such as …