Alexander Raymond Toth

Works (2)

Updated: July 5th, 2023 15:40

2016 journal article

An assessment of coupling algorithms for nuclear reactor core physics simulations

JOURNAL OF COMPUTATIONAL PHYSICS, 311, 241–257.

By: S. Hamilton *, M. Berrill *, K. Clarno *, R. Pawlowski *, A. Toth n, C. Kelley n , T. Evans *, B. Philip *

author keywords: Multiphysics; Jacobian-free Newton-Krylov; Anderson acceleration; Nuclear reactor analysis
topics (OpenAlex): Nuclear reactor physics and engineering; Magnetic confinement fusion research; Matrix Theory and Algorithms
TL;DR: This paper evaluates the performance of multiphysics coupling algorithms applied to a light water nuclear reactor core simulation and compares Picard iteration to Anderson acceleration and multiple variants of preconditioned Jacobian-free Newton-Krylov (JFNK). (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2015 journal article

Convergence Analysis for Anderson Acceleration

SIAM Journal on Numerical Analysis, 53(2), 805–819.

By: A. Toth* & C. Kelley* 

author keywords: nonlinear equations; Anderson acceleration; local convergence
topics (OpenAlex): Numerical methods for differential equations; Matrix Theory and Algorithms; Advanced Numerical Methods in Computational Mathematics
TL;DR: This paper shows that Anderson is locally r-linearly convergent if the fixed point map is a contraction and the coefficients in the linear combination remain bounded and proves q-linear convergence of Anderson(1) and, in the case of linear problems, Anderson($m$). (via Semantic Scholar)
Sources: Web Of Science, Crossref
Added: August 6, 2018

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