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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

SIAM review, 2011-01, Vol.53 (2), p.217-288

2011

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A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces

Journal of computational physics, 2012-06, Vol.231 (11), p.4142-4159

2012

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A fast direct solver for boundary integral equations in two dimensions

Journal of computational physics, 2005-05, Vol.205 (1), p.1-23

2005

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A FAST RANDOMIZED ALGORITHM FOR COMPUTING A HIERARCHICALLY SEMISEPARABLE REPRESENTATION OF A MATRIX

SIAM journal on matrix analysis and applications, 2011-10, Vol.32 (4), p.1251-1274

MARTINSSON, P. G

2011

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A fast direct solver for scattering problems involving elongated structures

Journal of computational physics, 2007-01, Vol.221 (1), p.288-302

2007

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Fast and accurate numerical methods for solving elliptic difference equations defined on lattices

Journal of computational physics, 2010-12, Vol.229 (24), p.9026-9041

2010

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A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method

Journal of computational physics, 2013-06, Vol.242, p.460-479

Martinsson, P.G.

2013

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Vibrations of Lattice Structures and Phononic Band Gaps

Quarterly journal of mechanics and applied mathematics, 2003-02, Vol.56 (1), p.45-64

2003

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Computing rank‐revealing factorizations of matrices stored out‐of‐core

Concurrency and computation, 2023-10, Vol.35 (22)

2023

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A fast algorithm for the inversion of general Toeplitz matrices

Computers & mathematics with applications (1987), 2005-09, Vol.50 (5), p.741-752

2005

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A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners

Journal of computational physics, 2014-01, Vol.256, p.214-219

2014

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High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane

Advances in computational mathematics, 2014-02, Vol.40 (1), p.245-272

2014

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An efficient and highly accurate solver for multi-body acoustic scattering problems involving rotationally symmetric scatterers

Computers & mathematics with applications (1987), 2015-02, Vol.69 (4), p.304-318

2015

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A fast solver for Poisson problems on infinite regular lattices

Journal of computational and applied mathematics, 2014-03, Vol.258, p.42-56

2014

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randUTV: A Blocked Randomized Algorithm for Computing a Rank-Revealing UTV Factorization

ACM transactions on mathematical software, 2019-03, Vol.45 (1), p.1-26

2019

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Algorithm 1022: Efficient Algorithms for Computing a Rank-Revealing UTV Factorization on Parallel Computing Architectures

ACM transactions on mathematical software, 2022-06, Vol.48 (2), p.1-42, Article 21

2022

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A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator

IMA journal of numerical analysis, 2016-04, Vol.36 (2), p.688-716

2016

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A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator

IMA journal of numerical analysis, 2015-06, Vol.36 (2)

2015

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HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES

Mathematical models & methods in applied sciences, 2007-05, Vol.17 (5), p.805-832

2007

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A nested compressive solver for MoM matrices

2016 IEEE International Symposium on Antennas and Propagation (APSURSI), 2016, p.1571-1572

2016

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Fast evaluation of electro-static interactions in multi-phase dielectric media

Journal of computational physics, 2006, Vol.211 (1), p.289-299

Martinsson, Per-Gunnar

2006

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Asymptotic expansions of lattice Green's functions

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2002-11, Vol.458 (2027), p.2609-2622

2002

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Increase in upper tropospheric and lower stratospheric aerosol levels and its potential connection with Asian pollution

Journal of geophysical research. Atmospheres, 2015-02, Vol.120 (4), p.1608-1619

2015

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Pre-plaque conformational changes in Alzheimer’s disease-linked Aβ and APP

Nature communications, 2017-03, Vol.8 (1), p.14726-14726, Article 14726

2017

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Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces

A fast direct solver for boundary integral equations in two dimensions

A FAST RANDOMIZED ALGORITHM FOR COMPUTING A HIERARCHICALLY SEMISEPARABLE REPRESENTATION OF A MATRIX

A fast direct solver for scattering problems involving elongated structures

Fast and accurate numerical methods for solving elliptic difference equations defined on lattices

A direct solver for variable coefficient elliptic PDEs discretized via a composite spectral collocation method

Vibrations of Lattice Structures and Phononic Band Gaps

Computing rank‐revealing factorizations of matrices stored out‐of‐core

A fast algorithm for the inversion of general Toeplitz matrices

A simplified technique for the efficient and highly accurate discretization of boundary integral equations in 2D on domains with corners

High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane

An efficient and highly accurate solver for multi-body acoustic scattering problems involving rotationally symmetric scatterers

A fast solver for Poisson problems on infinite regular lattices

randUTV: A Blocked Randomized Algorithm for Computing a Rank-Revealing UTV Factorization

Algorithm 1022: Efficient Algorithms for Computing a Rank-Revealing UTV Factorization on Parallel Computing Architectures

A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator

A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator

HOMOGENIZATION OF MATERIALS WITH PERIODIC TRUSS OR FRAME MICRO-STRUCTURES

A nested compressive solver for MoM matrices

Fast evaluation of electro-static interactions in multi-phase dielectric media

Asymptotic expansions of lattice Green's functions

Increase in upper tropospheric and lower stratospheric aerosol levels and its potential connection with Asian pollution

Pre-plaque conformational changes in Alzheimer’s disease-linked Aβ and APP

The Risk-Associated Long Noncoding RNA NBAT-1 Controls Neuroblastoma Progression by Regulating Cell Proliferation and Neuronal Differentiation

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