Publications

Submitted / Under Review

• Neural network preconditioning: a case study for the solution of the parametric Helmholtz equation
  Luc Giraud, Carola Kruse, Paul Mycek, Maksym Shpakovych and Yanfei Xiang
  (Distributed under a Creative Commons Attribution 4.0 International License)
  Under review (November 2025)
• Unsupervised convolution neural operator preconditioning for the solution of some heterogeneous fluid PDEs
  Yanfei Xiang
  Under review (February 2025)
• A note on the partial convergence management for the solution of of symmetric linear systems with multiple right-hand sides
  Luc Giraud and Yanfei Xiang
  Under review (August 2025)

Peer-reviewed Journal

• A block minimum residual norm subspace solver with partial convergence management for sequences of linear systems -
  Luc Giraud, Yan-Fei Jing and Yanfei Xiang
  SIAM Journal on Matrix Analysis and Applications (February 2022)
• A new projected variant of the deflated block conjugate gradient method -
  Yan-Fei Xiang, Yan-Fei Jing and Ting-Zhu Huang
  Journal of Scientific Computing (August 2019)

Research Report

• Neural network preconditioning: a case study for the solution of the parametric Helmholtz equation -
  Luc Giraud, Carola Kruse, Paul Mycek, Maksym Shpakovych and Yanfei Xiang
  (Distributed under a Creative Commons Attribution 4.0 International License)
  Inria Centre at the University of Bordeaux, France (July 2025)
• Randomized LOBPCG algorithm with linear dimension reduction -
  Yanfei Xiang
  Inria Centre at the University of Bordeaux, France (February 2025)
• Unsupervised convolution neural operator preconditioning for the solution of some heterogeneous fluid PDEs -
  Yanfei Xiang
  Inria Centre at the University of Bordeaux, France (February 2025)
• A note on the partial convergence management for the solution of of symmetric linear systems with multiple right-hand sides -
  Luc Giraud and Yanfei Xiang
  Inria Centre at the University of Bordeaux, France (Janary 2025)
• A block minimum residual norm subspace solver with partial convergence management for sequences of linear systems -
  Luc Giraud, Yan-Fei Jing and Yanfei Xiang
  Inria Bordeaux Sud-Ouest (October 2021)

Ph.D Thesis

• Solution of large linear systems with a massive number of right-hand sides and machine learning - under the suppervision of Luc Giraud and Paul Mycek -
  ÉCOLE DOCTORALE DE MATHÉMATIQUES ET D’INFORMATIQUE, UNIVERSITÉ DE BORDEAUX, BORDEAUX, FRANCE, December 2022