182 citations · 1.2k across the 59 of their papers we have counts for
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Fast hierarchical solvers for sparse matrices using extended sparsification and low-rank approximation
Hadi Pouransari, Pieter Coulier, Eric Darve
Inversion of sparse matrices with standard direct solve schemes is robust, but computationally expensive. Iterative solvers, on the other hand, demonstrate better scalability; but,…
Optimizing the adaptive fast multipole method for fractal sets
Hadi Pouransari, Eric Darve
We have performed a detailed analysis of the fast multipole method (FMM) in the adaptive case, in which the depth of the FMM tree is non-uniform. Previous works in this area have f…
The inverse fast multipole method: using a fast approximate direct solver as a preconditioner for dense linear systems
Pieter Coulier, Hadi Pouransari, Eric Darve
Although some preconditioners are available for solving dense linear systems, there are still many matrices for which preconditioners are lacking, in particular in cases where the…
Block Basis Factorization for Scalable Kernel Matrix Evaluation
Ruoxi Wang, Yingzhou Li, Michael W. Mahoney +1
Kernel methods are widespread in machine learning; however, they are limited by the quadratic complexity of the construction, application, and storage of kernel matrices. Low-rank…
A New Sparse Matrix Vector Multiplication GPU Algorithm Designed for Finite Element Problems
Jonathan Wong, Ellen Kuhl, Eric Darve
Recently, graphics processors (GPUs) have been increasingly leveraged in a variety of scientific computing applications. However, architectural differences between CPUs and GPUs ne…