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01/23/2023
Augmented Block-Arnoldi Recycling CFD Solvers
One of the limitations of recycled GCRO methods is the large amount of c...
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05/16/2022
Post-Modern GMRES
The GMRES algorithm of Saad and Schultz (1986) for nonsymmetric linear s...
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12/29/2021
Neumann Series in GMRES and Algebraic Multigrid Smoothers
Neumann series underlie both Krylov methods and algebraic multigrid smoo...
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11/18/2021
ILU Smoothers for Low Mach Navier-Stokes Pressure Solvers
Incomplete LU (ILU) smoothers are effective in the algebraic multigrid (...
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10/19/2021
Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers
Anderson Acceleration (AA) is a method to accelerate the convergence of ...
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04/02/2021
Low-Synch Gram-Schmidt with Delayed Reorthogonalization for Krylov Solvers
The parallel strong-scaling of Krylov iterative methods is largely deter...
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04/02/2021
Two-Stage Gauss–Seidel Preconditioners and Smoothers for Krylov Solvers on a GPU cluster
Gauss-Seidel (GS) relaxation is often employed as a preconditioner for a...
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10/22/2020
An overview of block Gram-Schmidt methods and their stability properties
Block Gram-Schmidt algorithms comprise essential kernels in many scienti...
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07/13/2020
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic
Within the past years, hardware vendors have started designing low preci...
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09/16/2018
