I prepared my Ph.D. at Inria-Paris and Sorbonne University (Paris — VI). It was funded by TOTAL S.A. From January 2019 to July 2020 I was a Max Planck Society postdoctoral research fellow in the NLMA team in the CSC group. Starting from August 2020, I hold a research position at the Computational Mathematics Group, STFC, UKRI.
2020: Computational mathematics researcher at STFC, Rutherford Appleton Laboratory
2019-2020: Postdoctoral research fellow at Max Planck Institute for Dynamics of Complex Technical Systems
2012-2014: Master in Fundamental and Applied Mathematics at Paris-Sud University (Paris — XI)
High performance computing
Numerical linear algebra
Krylov subspace methods
Domain decomposition methods
H. Al Daas, P. Jolivet
A Robust Algebraic Multilevel Domain Decomposition Preconditioner For Sparse Symmetric Positive Definite Matrices. 2021
H. Al Daas, P. Jolivet, J. Scott.
A Robust Algebraic Domain Decomposition Preconditioner for Sparse Normal Equations. 2021.
H. Al Daas, G. Ballard, P. Benner.
Parallel Algorithms for Tensor Train Arithmetic. 2020.
P. Goyal, H. Al Daas, P. Benner.
Low-Rank and Total Variation Regularization and Its Application to Image Recovery. 2020.
H. Al Daas, T. Rees, J. Scott.
Two-level Nyström--Schur preconditioner for sparse symmetric positive definite matrices. 2021.
Accepted in SIAM Journal for Scientific Computing, in press. PDF.
H. Al Daas, L. Grigori, P. Jolivet, P. H. Tournier.
A Multilevel Schwarz Preconditioner Based on a Hierarchy of Robust Coarse Spaces. 2021.
SIAM Journal for Scientific Computing. PDF.
H. Al Daas, L. Grigori, P. Henon, P. Ricoux.
Recycling Krylov Subspaces and Truncating Deflation Subspaces for Solving Sequence of Linear Systems. 2021
ACM Transactions on Mathematical Software. PDF.
H. Al Daas.
H. Al Daas, L. Grigori.
A Class of Efficient Locally Constructed Preconditioners Based on Coarse Spaces. 2019.
SIAM Journal on Matrix Analysis and Applications. PDF.
H. Al Daas, L. Grigori, P. Hénon, Ph. Ricoux.
Enlarged GMRES for solving linear systems with one or multiple right-hand sides. 2018.
IMA Journal. PDF.
Communication-avoiding orthogonalization algorithm for tensor trains, GAMM ANLA 2019, Chemnitz, Germany
Efficient algebraic coarse spaces, Sparse Days 2018, Toulouse, France
Deflation subspaces and GMRES for solving a sequence of linear systems, PMAA18, Zurich, Switzerland
Enlarged GMRES for reducing communication, SIAM PP18, MS 28, Tokyo, Japan
Krylov subspace methods and deflation strategies, Junior Seminar at INRIA- Paris, France
Enlarged GMRES for a sequence of linear systems, MATHIAS18, Paris, France
Enlarged GMRES, SIAM CSE17, MS254, Atlanta, USA
GMRES based on enlarged Krylov subspaces, SIAM PP16, MS12, Paris, France
CSTJF, centre scientifique TOTAL, Pau, collaboration with Pascal Hénon (Jan.-Feb. 2018)
CEMRACS, CIRM, Marseille, 6-week summer school (Jul.-Aug. 2016)
University of California, Berkeley, BeBOP group. Five-month visit in James Demmel’s research group (Jan.-May 2016)
Parallel computing, Certificate
CPaLAMeM: C Parallel Linear Algebra Memory Management in PreAlps package (several linear solvers and preconditioners)
cTT, pcTT: C and C-MPI implementation of TT tensor arithmetic operations
EGMRES, GMRES-MDR and Block GMRES-MDR: C-MPI implementation of enlarged GMRES with deflated restarting, GMRES with Modified Deflated Restart, and Block GMRES-MDR with different variants of deflation strategies
2019 Numerical Linear Algebra, Bachelor level. Teaching Assistant, Otto von Guericke University, Magdeburg, Germany
2017 Calculus, Introduction to Analysis for first year students. Teaching Assistant, UPMC, Paris, France
2015 Numerical analysis, Scientific computation for third year students. Teaching Assistant, ENSAE, Paris, France