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Silent error detection in numerical time-stepping schemes
Austin R. Benson, Sven Schmit, Robert Schreiber
Errors due to hardware or low level software problems, if detected, can be fixed by various schemes, such as recomputation from a checkpoint. Silent errors are errors in applicatio…
A parallel directional Fast Multipole Method
Austin R. Benson, Jack Poulson, Kenneth Tran +2
This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three…
Direct QR factorizations for tall-and-skinny matrices in MapReduce architectures
Austin R. Benson, David F. Gleich, James Demmel
The QR factorization and the SVD are two fundamental matrix decompositions with applications throughout scientific computing and data analysis. For matrices with many more rows tha…