38 citations · 120 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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…
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.…
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…