Siegfried Cools
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Local Fourier analysis of the complex shifted Laplacian preconditioner for Helmholtz problems
S Cools, W Vanroose
Numerical Linear Algebra with Applications 20 (4), 575-597, 2013
492013
The communication-hiding pipelined BiCGStab method for the parallel solution of large unsymmetric linear systems
S Cools, W Vanroose
Parallel Computing 65, 1-20, 2017
322017
Analyzing the effect of local rounding error propagation on the maximal attainable accuracy of the pipelined conjugate gradient method
S Cools, EF Yetkin, E Agullo, L Giraud, W Vanroose
SIAM Journal on Matrix Analysis and Applications 39 (1), 426-450, 2018
242018
The communication-hiding conjugate gradient method with deep pipelines
J Cornelis, S Cools, W Vanroose
arXiv preprint arXiv:1801.04728, 2018
202018
A new level‐dependent coarse grid correction scheme for indefinite Helmholtz problems
S Cools, B Reps, W Vanroose
Numerical Linear Algebra with Applications 21 (4), 513-533, 2014
152014
Numerically stable recurrence relations for the communication hiding pipelined conjugate gradient method
S Cools, J Cornelis, W Vanroose
IEEE Transactions on Parallel and Distributed Systems 30 (11), 2507-2522, 2019
112019
On rounding error resilience, maximal attainable accuracy and parallel performance of the pipelined Conjugate Gradients method for large-scale linear systems in PETSc
S Cools, W Vanroose, EF Yetkin, E Agullo, L Giraud
Proceedings of the Exascale Applications and Software Conference 2016, 1-10, 2016
112016
Analysis of rounding error accumulation in Conjugate Gradients to improve the maximal attainable accuracy of pipelined CG
S Cools, EF Yetkin, E Agullo, L Giraud, W Vanroose
Inria Bordeaux Sud-Ouest, 2016
92016
An Efficient Multigrid Calculation of the Far Field Map for Helmholtz and Schrödinger Equations
S Cools, B Reps, W Vanroose
SIAM Journal on Scientific Computing 36 (3), B367-B395, 2014
82014
On soft errors in the conjugate gradient method: sensitivity and robust numerical detection
E Agullo, S Cools, EF Yetkin, L Giraud, N Schenkels, W Vanroose
SIAM Journal on Scientific Computing 42 (6), C335-C358, 2020
72020
Analyzing and improving maximal attainable accuracy in the communication hiding pipelined BiCGStab method
S Cools
Parallel Computing 86, 16-35, 2019
62019
Numerically stable variants of the communication-hiding pipelined conjugate gradients algorithm for the parallel solution of large scale symmetric linear systems
S Cools, W Vanroose
arXiv preprint arXiv:1706.05988, 2017
62017
Numerical stability analysis of the class of communication hiding pipelined conjugate gradient methods
S Cools
arXiv preprint arXiv:1804.02962, 2018
52018
A fast and robust computational method for the ionization cross sections of the driven Schrödinger equation using an O (N) multigrid-based scheme
S Cools, W Vanroose
Journal of Computational Physics 308, 20-39, 2016
52016
Improving strong scaling of the conjugate gradient method for solving large linear systems using global reduction pipelining
S Cools, J Cornelis, P Ghysels, W Vanroose
arXiv preprint arXiv:1905.06850, 2019
42019
Hard faults and soft-errors: Possible numerical remedies in linear algebra solvers
E Agullo, S Cools, L Giraud, A Moreau, P Salas, W Vanroose, EF Yetkin, ...
International Conference on Vector and Parallel Processing, 11-18, 2016
42016
A multi-level preconditioned Krylov method for the efficient solution of algebraic tomographic reconstruction problems
S Cools, P Ghysels, W van Aarle, J Sijbers, W Vanroose
Journal of computational and applied mathematics 283, 1-16, 2015
42015
Generalization of the complex shifted Laplacian: on the class of expansion preconditioners for Helmholtz problems
S Cools, W Vanroose
ArXiv e-prints, 2015
42015
Numerical analysis of the maximal attainable accuracy in communication hiding pipelined conjugate gradient methods
S Cools
arXiv preprint arXiv:1804.02962, 2018
22018
On the Optimality of shifted Laplacian in a class of polynomial preconditioners for the Helmholtz equation
S Cools, W Vanroose
Modern Solvers for Helmholtz Problems, 53-81, 2017
22017
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Artikelen 1–20