Publications

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Ordenar por: Autor Título Tipo [ Ano (Desc)]
2018
On the Influence of Quadrature Schemes for the Iterative Solution of Linear Systems in Explicit Two-Dimensional Discrete Ordinates Nodal Formulations, de Moura, F.  W., Barichello L.  B., da Cunha R.  D., and Picoloto C.  B. , Proc. PHYSOR, p.123–134, (2018) Abstract

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Um problema de autovalor para caracterização de criticalidade de reatores nucleares, Andrade Neto, J., da Cunha R.  D., and Barichello L.  B. , Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, Volume 6(1), p.010269:1–2, (2018) Abstract

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2017
The ADO-nodal method for solving two-dimensional discrete ordinates transport problems, Picoloto, C.  B., Tres A., da Cunha R.  D., and Barichello L.  B. , Annals of Nuclear Energy, Volume 108, p.376–385, (2017) Abstract

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On The Acceleration Of The Source Iteration Method, Schulz, D.  M., da Cunha R.  D., and Barichello L.  B. , ANS MC2017 - Joint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method, p.1–7, (2017) Abstract

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Sistemas derivados de esquemas nodais em problemas bidimensionais de transporte de partículas: uma análise espectral, Picoloto, C.  B., Rodrigues P., da Cunha R.  D., and Barichello L.  B. , Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, Volume 3(1), p.010176:1–7, (2017) Abstract

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Uma proposta para equações auxiliares em metodologias nodais de soluções de problemas bidimensionais transporte de nêutrons em meio homogêneo, Picoloto, C.  B., da Cunha R.  D., and Barichello L.  B. , Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, Volume 5(1), p.010139:1–2, (2017) Abstract

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2015
Closed-form solutions for nodal formulations of two dimensional transport problems in heterogeneous media, Barichello, L.  B., Picoloto C.  B., and da Cunha R.  D. , Annals of Nuclear Energy, Volume 86, p.65–71, (2015) Abstract

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A Study on the Parallel, Iterative Solution of Systems of Linear Equations appearing on Analytical Nodal Schemes for Two-Dimensional Cartesian Geometry Discrete Ordinates Problems, da Cunha, R.  D., Tres A., and Barichello L.  B. , ANS MC2015 - Joint International Conference on Mathematics and Computation (M&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method, p.1–12, (2015) Abstract

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2014
Explicit formulation of a Nodal Transport Method for Discrete Ordinates Calculations in Two-dimensional Fixed-source Problems, Tres, A., Picoloto C.  B., Prolo Filho J.  F., da Cunha R.  D., and Barichello L.  B. , Kerntechnik (1987), Volume 79, p.155–162, (2014) Abstract

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2007
Dynamic block GMRES: an iterative method for block linear systems, da Cunha, R. D., and Becker D. , 2007, Volume 27, Issue 4, p.423 - 448, (2007) AbstractWebsite

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We present variants of the block-GMRES($m$) algorithms due to Vital and the block-LGMRES($m$,$k$) by Baker, Dennis and Jessup, obtained with replacing the standard QR factorization by a rank-revealing QR factorization in the Arnoldi process. The resulting algorithm allows for dynamic block deflation whenever there is a linear dependency between the Krylov vectors or the convergence of a right-hand-side occurs. $\textsc{Fortran 90}$implementations of the algorithms were tested on a number of test matrices and the results show that in some cases a substantial reduction of the execution time is obtained. Also a parallel implementation of our variant of the block-GMRES($m$) algorithm, using $\textsc{Fortran 90}$and $\textsc{MPI}$was tested on $\textsc{SunFire 15K}$parallel computer, showing good parallel efficiency.

2002
New Parallel (Rank-Revealing) {QR} Factorization Algorithms, da Cunha, R.  D., Becker D., and Patterson J.  C. , Euro-Par 2002, Number 2400, Berlin, p.677–686, (2002) Abstract

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