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pro vyhledávání: '"Monteiro, José A."'
Sensitivity analysis of fractional linear systems based on random walks with negligible memory usage
A random walk-based method is proposed to efficiently compute the solution of a large class of fractional in time linear systems of differential equations (linear F-ODE systems), along with the derivatives with respect to the system parameters. Such
Externí odkaz:
http://arxiv.org/abs/2408.04351
Akademický článek
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The Kaczmarz algorithm is an iterative technique designed to solve consistent linear systems of equations. It falls within the category of row-action methods, focusing on handling one equation per iteration. This characteristic makes it especially us
Externí odkaz:
http://arxiv.org/abs/2401.17474
The Kaczmarz algorithm is an iterative method that solves linear systems of equations. It stands out among iterative algorithms when dealing with large systems for two reasons. First, at each iteration, the Kaczmarz algorithm uses a single equation,
Externí odkaz:
http://arxiv.org/abs/2401.02842
Publikováno v:
The Oxford Dictionary of Architecture, 3 rev. ed., 2021.
Externí odkaz:
http://www.oxfordreference.com/view/10.1093/acref/9780191918742.001.0001/acref-9780191918742-e-2987
Publikováno v:
J Sci Comput 99, 41 (2024).
We propose a novel stochastic algorithm that randomly samples entire rows and columns of the matrix as a way to approximate an arbitrary matrix function using the power series expansion. This contrasts with existing Monte Carlo methods, which only wo
Externí odkaz:
http://arxiv.org/abs/2308.01037
Publikováno v:
Computers & Mathematics with Applications, Volume 159, 1 April 2024, Pages 240-253
We present a stochastic method for efficiently computing the solution of time-fractional partial differential equations (fPDEs) that model anomalous diffusion problems of the subdiffusive type. After discretizing the fPDE in space, the ensuing system
Externí odkaz:
http://arxiv.org/abs/2303.15458
Autor:
Curl, James Stevens, Wilson, Susan
Publikováno v:
The Oxford Dictionary of Architecture, 3 ed., 2015.
Externí odkaz:
http://www.oxfordreference.com/view/10.1093/acref/9780199674985.001.0001/acref-9780199674985-e-2987
Autor:
Iakymchuk, Roman, Faustino, Amandio, Emerson, Andrew, Barreto, Joao, Bartsch, Valeria, Rodrigues, Rodrigo, Monteiro, Jose C.
Collective operations are common features of parallel programming models that are frequently used in High-Performance (HPC) and machine/ deep learning (ML/ DL) applications. In strong scaling scenarios, collective operations can negatively impact the
Externí odkaz:
http://arxiv.org/abs/2203.17063
As persistent memory (PM) technologies emerge, hybrid memory architectures combining DRAM with PM bring the potential to provide a tiered, byte-addressable main memory of unprecedented capacity. Nearly a decade after the first proposals for these hyb
Externí odkaz:
http://arxiv.org/abs/2112.12685