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06/05/2023
Fast and high-order approximation of parabolic equations using hierarchical direct solvers and implicit Runge-Kutta methods
A stable and high-order accurate solver for linear and nonlinear parabol...
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11/27/2022
Parallel Optimizations for the Hierarchical Poincaré-Steklov Scheme (HPS)
Parallel optimizations for the 2D Hierarchical Poincaré-Steklov (HPS) di...
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11/14/2022
SlabLU: A Sparse Direct Solver for Elliptic PDEs on Rectangular Domains
The paper describes a sparse direct solver for the linear systems that a...
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11/09/2022
Efficient Bounds and Estimates for Canonical Angles in Randomized Subspace Approximations
Randomized subspace approximation with "matrix sketching" is an effectiv...
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09/05/2022
A Unified Trapezoidal Quadrature Method for Singular and Hypersingular Boundary Integral Operators on Curved Surfaces
This paper describes a trapezoidal quadrature method for the discretizat...
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08/12/2022
Solving Linear Systems on a GPU with Hierarchically Off-Diagonal Low-Rank Approximations
We are interested in solving linear systems arising from three applicati...
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05/06/2022
Randomized Compression of Rank-Structured Matrices Accelerated with Graph Coloring
A randomized algorithm for computing a data sparse representation of a g...
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05/06/2022
Linear-Complexity Black-Box Randomized Compression of Hierarchically Block Separable Matrices
A randomized algorithm for computing a compressed representation of a gi...
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06/25/2021
Efficient algorithms for computing rank-revealing factorizations on a GPU
Standard rank-revealing factorizations such as the singular value decomp...
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04/19/2021
Randomized Algorithms for Scientific Computing (RASC)
Randomized algorithms have propelled advances in artificial intelligence...
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04/13/2021
Simpler is better: A comparative study of randomized algorithms for computing the CUR decomposition
The CUR decomposition is a technique for low-rank approximation that sel...
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07/27/2020
Zeta Correction: A New Approach to Constructing Corrected Trapezoidal Quadrature Rules for Singular Integral Operators
We introduce a new quadrature method for the discretization of boundary ...
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07/24/2020
An accelerated, high-order accurate direct solver for the Lippmann-Schwinger equation for acoustic scattering in the plane
An efficient direct solver for solving the Lippmann-Schwinger integral e...
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07/06/2020
Corrected Trapezoidal Rules for Boundary Integral Equations in Three Dimensions
The manuscript describes a quadrature rule that is designed for the high...
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02/17/2020
Computing rank-revealing factorizations of matrices stored out-of-core
This paper describes efficient algorithms for computing rank-revealing f...
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02/04/2020
Randomized Numerical Linear Algebra: Foundations Algorithms
This survey describes probabilistic algorithms for linear algebra comput...
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12/14/2018