38 citations · 120 across the 12 of their papers we have counts for
13 papers
Improving strong scaling of the Conjugate Gradient method for solving large linear systems using global reduction pipelining
Siegfried Cools, Jeffrey Cornelis, Pieter Ghysels +1
This paper presents performance results comparing MPI-based implementations of the popular Conjugate Gradient (CG) method and several of its communication hiding (or 'pipelined') v…
Numerically Stable Recurrence Relations for the Communication Hiding Pipelined Conjugate Gradient Method
Siegfried Cools, Jeffrey Cornelis, Wim Vanroose
Pipelined Krylov subspace methods (also referred to as communication-hiding methods) have been proposed in the literature as a scalable alternative to classic Krylov subspace algor…
Analyzing and improving maximal attainable accuracy in the communication hiding pipelined BiCGStab method
Siegfried Cools
Pipelined Krylov subspace methods avoid communication latency by reducing the number of global synchronization bottlenecks and by hiding global communication behind useful computat…
Numerical analysis of the maximal attainable accuracy in communication hiding pipelined Conjugate Gradient methods
Siegfried Cools
Krylov subspace methods are widely known as efficient algebraic methods for solving large scale linear systems. However, on massively parallel hardware the performance of these met…
The Communication-Hiding Conjugate Gradient Method with Deep Pipelines
Jeffrey Cornelis, Siegfried Cools, Wim Vanroose
Krylov subspace methods are among the most efficient solvers for large scale linear algebra problems. Nevertheless, classic Krylov subspace algorithms do not scale well on massivel…
Numerically Stable Variants of the Communication-hiding Pipelined Conjugate Gradients Algorithm for the Parallel Solution of Large Scale Symmetric Linear Systems
Siegfried Cools, Wim Vanroose
By reducing the number of global synchronization bottlenecks per iteration and hiding communication behind useful computational work, pipelined Krylov subspace methods achieve sign…
The communication-hiding pipelined BiCGStab method for the parallel solution of large unsymmetric linear systems
Siegfried Cools, Wim Vanroose
A High Performance Computing alternative to traditional Krylov subspace methods, pipelined Krylov subspace solvers offer better scalability in the strong scaling limit compared to…
Analyzing the effect of local rounding error propagation on the maximal attainable accuracy of the pipelined Conjugate Gradient method
Siegfried Cools, Emrullah Fatih Yetkin, Emmanuel Agullo +2
Pipelined Krylov subspace methods typically offer improved strong scaling on parallel HPC hardware compared to standard Krylov subspace methods for large and sparse linear systems.…
On the optimality of shifted Laplacian in the class of expansion preconditioners for the Helmholtz equation
Siegfried Cools, Wim Vanroose
This paper introduces and explores the class of expansion preconditioners EX(m) that forms a direct generalization to the classic complex shifted Laplace (CSL) preconditioner for H…
A fast and robust computational method for the ionization cross sections of the driven Schroedinger equation using an O(N) multigrid-based scheme
Siegfried Cools, Wim Vanroose
This paper improves the convergence and robustness of a multigrid-based solver for the cross sections of the driven Schroedinger equation. Adding an Coupled Channel Correction Step…
A new level-dependent coarsegrid correction scheme for indefinite Helmholtz problems
Siegfried Cools, Bram Reps, Wim Vanroose
In this paper we construct and analyse a level-dependent coarsegrid correction scheme for indefinite Helmholtz problems. This adapted multigrid method is capable of solving the Hel…
An efficient multigrid calculation of the far field map for Helmholtz and Schrödinger equations
Siegfried Cools, Bram Reps, Wim Vanroose
In this paper we present a new highly efficient calculation method for the far field amplitude pattern that arises from scattering problems governed by the d-dimensional Helmholtz…
Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems
Siegfried Cools, Wim Vanroose
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods. The class of Shifted Laplacian preconditioners are known to significantly speed…