Works Published in 2021
Displaying works 1 - 20 of 207 in total
Sorted by most recent date added to the index first, which may not be the same as publication date order.
2021 journal article
Efficient algorithms for computing rank-revealing factorizations on a GPU
Numerical Linear Algebra with Applications, e2515.
TL;DR:
Two alternative algorithms for computing a rank‐revealing factorization of the form A=UTV, which use randomized projection techniques to cast most of the flops in terms of matrix‐matrix multiplication, which is exceptionally efficient on the GPU are presented.
(via Semantic Scholar)
arxiv.org (repository)
Source: ORCID
Added: February 1, 2024
2021 chapter
On Khovanov Homology and Related Invariants
In Association for Women in Mathematics Series.
Source: ORCID
Added: January 28, 2024
2021 chapter
Encyclopedia of Knot Theory
In Chapman and Hall/CRC.
Source: ORCID
Added: January 28, 2024
2021 journal article
Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance
SIAM Journal on Scientific Computing, 43(5), A3438–A3468.
TL;DR:
A new iterative training method is proposed, the Active Neuron Least Squares (ANLS), characterised by the explicit adjustment of the activation pattern at each step, which is designed to enable a quick exit from a plateau.
(via Semantic Scholar)
Source: ORCID
Added: January 24, 2024
2021 journal article
Identification of Corrupted Data via $k$-Means Clustering for Function Approximation
CSIAM Transactions on Applied Mathematics, 2(1), 81–107.
Sources: ORCID, Crossref
Added: January 24, 2024
2021 journal article
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations
Journal of Scientific Computing, 87(3).
Contributors: T. Le* , L. Nguyen *, T. Nguyen * & W. Powell*
TL;DR:
A numerical method is proposed to solve an inverse source problem of computing the initial condition of hyperbolic equations from the measurements of Cauchy data by the quasi-reversibility method, and it is rigorously proved that the convergence of this method as the noise level tends to 0.
(via Semantic Scholar)
Source: ORCID
Added: January 23, 2024
2021 article
Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data
ArXiv. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106104061&partnerID=MN8TOARS
Contributors: M. Klibanov, T. Le , L. Nguyen, A. Sullivan & L. Nguyen
Source: ORCID
Added: January 23, 2024
2021 journal article
RCHOL: Randomized Cholesky Factorization for Solving SDD Linear Systems
SIAM Journal on Scientific Computing, 43(6), C411–C438.
TL;DR:
A randomized algorithm, namely {\tt rchol], is introduced to construct an approximate Cholesky factorization for a given sparse Laplacian matrix and is proved to be breakdown free and applied to solving linear systems with symmetric diagonally-dominant matrices.
(via Semantic Scholar)
Sources: ORCID, Crossref
Added: November 1, 2023
2021 journal article
PBBFMM3D: A parallel black-box algorithm for kernel matrix-vector multiplication
Journal of Parallel and Distributed Computing, 154, 64–73.
TL;DR:
A parallel black-box method for computing kernel matrix-vector multiplication, where the underlying kernel is a non-oscillatory function in three dimensions, which reduces the cost to $O(N)$ work.
(via Semantic Scholar)
Sources: ORCID, Crossref
Added: November 1, 2023
2021 journal article
Fast Approximation of the Gauss--Newton Hessian Matrix for the Multilayer Perceptron
SIAM Journal on Matrix Analysis and Applications, 42(1), 165–184.
TL;DR:
A fast algorithm for entry-wise evaluation of the Gauss-Newton Hessian (GNH) matrix for the fully-connected feed-forward neural network and the H-matrix approximation of the GNH matrix for solving linear systems and eigenvalue problems is introduced.
(via Semantic Scholar)
Sources: ORCID, Crossref
Added: November 1, 2023
2021 report
Block-Activated Algorithms for Multicomponent Fully Nonsmooth Minimization
(ArXiv Preprint No. 2103.00520).
Sources: Crossref, ORCID
Added: October 31, 2023
2021 journal article
Weakly viscoelastic film on a slippery slope
Physics of Fluids, 33(11).
Contributors: S. Chattopadhyay* , A. Desai*, A. Gaonkar *, A. Barua * & A. Mukhopadhyay *
Source: ORCID
Added: October 13, 2023
2021 journal article
Thermocapillary instability on a film falling down a non-uniformly heated slippery incline
International Journal of Non-Linear Mechanics, 133.
Contributors: S. Chattopadhyay* , A. Mukhopadhyay *, A. Barua * & A. Gaonkar *
Source: ORCID
Added: October 13, 2023
2021 journal article
Thermocapillary instability in the presence of uniform normal electric field: effect of odd viscosity
Journal of Engineering Mathematics, 131(1).
Contributors: S. Chattopadhyay*
Source: ORCID
Added: October 13, 2023
2021 journal article
Influence of the odd viscosity on a falling film down a slippery inclined plane
Physics of Fluids, 33(6), 062106.
Contributors: S. Chattopadhyay*
Source: ORCID
Added: October 13, 2023
2021 journal article
Odd-viscosity-induced instability of a thin film with variable density
Physics of Fluids, 33(8).
Contributors: S. Chattopadhyay*
Source: ORCID
Added: October 13, 2023
2021 journal article
REVIEW OF PHYSICS-BASED AND DATA-DRIVEN MULTISCALE SIMULATION METHODS FOR COMPUTATIONAL FLUID DYNAMICS AND NUCLEAR THERMAL HYDRAULICS
ArXiv. https://publons.com/wos-op/publon/58758834/
Contributors: A. Iskhakov & N. Dinh
Source: ORCID
Added: September 5, 2023
2021 report
Challenge Problem 1: Benchmark Specifications for the Direct Numerical Simulation of Canonical Flows
Source: ORCID
Added: September 5, 2023
2021 report
Improved discrete restriction for the parabola
(ArXiv Preprint No. 2103.09795).
Sources: NC State University Libraries, ORCID
Added: September 3, 2023
2021 journal article
An $l^2$ decoupling interpretation of efficient congruencing: the parabola
Revista Matemática Iberoamericana, 37(5), 1761–1802.
Source: Crossref
Added: August 25, 2023
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