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20082023
most citedSustainable computational science: the ReScience initiative

128 citations · 921 across the 32 of their papers we have counts for

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Showing math.NAShow all

5 papers · 1 filter

math.NA2015★ 2 cited

Inexact Krylov iterations and relaxation strategies with fast-multipole boundary element method

Tingyu Wang, Simon K. Layton, Lorena A. Barba

Boundary element methods produce dense linear systems that can be accelerated via multipole expansions. Solved with Krylov methods, this implies computing the matrix-vector product…

math.NA2011★ 31 cited

FMM-based vortex method for simulation of isotropic turbulence on GPUs, compared with a spectral method

Rio Yokota, L. A. Barba

The Lagrangian vortex method offers an alternative numerical approach for direct numerical simulation of turbulence. The fact that it uses the fast multipole method (FMM)--a hierar…

math.NA2011★ 42 cited

Hierarchical N-body simulations with auto-tuning for heterogeneous systems

Rio Yokota, Lorena A. Barba

With the current hybridization of treecodes and FMMs, combined with auto-tuning capabilities on heterogeneous architectures, the flexibility of fast N-body methods has been greatly…

math.NA2011★ 78 cited

Petascale turbulence simulation using a highly parallel fast multipole method on GPUs

R. Yokota, L. A. Barba, T. Narumi +1

This paper reports large-scale direct numerical simulations of homogeneous-isotropic fluid turbulence, achieving sustained performance of 1.08 petaflop/s on gpu hardware using sing…

math.NA2011★ 66 cited

A Tuned and Scalable Fast Multipole Method as a Preeminent Algorithm for Exascale Systems

Rio Yokota, Lorena Barba

Among the algorithms that are likely to play a major role in future exascale computing, the fast multipole method (FMM) appears as a rising star. Our previous recent work showed sc…