@article {kn:daCunha2020b, title = {A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS}, journal = {Communications in Nonlinear Science and Numerical Simulation}, year = {2020}, note = {n/a}, abstract = {n/a}, issn = {1007-5704}, doi = {10.1016/j.cnsns.2020.105423}, url = {https://doi.org/10.1016/j.cnsns.2020.105423}, author = {da Cunha, R.~D. and Oliveira, E.~R. and Strobin, F.} } @article {kn:daCunha2020a, title = {A multiresolution algorithm to generate images of generalized fuzzy fractal attractors}, journal = {Numerical Algorithms}, year = {2020}, note = {n/a}, abstract = {n/a}, issn = {1572-9265}, doi = {10.1007/s11075-020-00886-w}, url = {https://doi.org/10.1007/s11075-020-00886-w}, author = {da Cunha, R.~D. and Oliveira, E.~R. and Strobin, F.} } @conference {kn:daCunha2018b, title = {On the Influence of Quadrature Schemes for the Iterative Solution of Linear Systems in Explicit Two-Dimensional Discrete Ordinates Nodal Formulations}, booktitle = {Proc. PHYSOR}, year = {2018}, note = {n/a}, pages = {123{\textendash}134}, publisher = {American Nuclear Society}, organization = {American Nuclear Society}, abstract = {n/a}, author = {de Moura, F.~W. and Barichello, L.~B. and da Cunha, R.~D. and Picoloto, C.~B.} } @conference {kn:daCunha2018a, title = {Um problema de autovalor para caracteriza{\c c}{\~a}o de criticalidade de reatores nucleares}, booktitle = {Proceeding Series of the Brazilian Society of Applied and Computational Mathematics}, volume = {6(1)}, year = {2018}, note = {n/a}, pages = {010269:1{\textendash}2}, publisher = {SBMAC}, organization = {SBMAC}, abstract = {n/a}, author = {Andrade Neto, J. and da Cunha, R.~D. and Barichello, L.~B.} } @article {kn:daCunha2017c, title = {The ADO-nodal method for solving two-dimensional discrete ordinates transport problems}, journal = {Annals of Nuclear Energy}, volume = {108}, year = {2017}, note = {n/a}, pages = {376{\textendash}385}, abstract = {n/a}, author = {Picoloto, C.~B. and Tres, A. and da Cunha, R.~D. and Barichello, L.~B.} } @conference {kn:daCunha2017, title = {On The Acceleration Of The Source Iteration Method}, booktitle = {ANS MC2017 - Joint International Conference on Mathematics and Computation (M\&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method}, year = {2017}, note = {n/a}, pages = {1{\textendash}7}, publisher = {American Nuclear Society}, organization = {American Nuclear Society}, abstract = {n/a}, author = {Schulz, D.~M. and da Cunha, R.~D. and Barichello, L.~B.} } @conference {kn:daCunha2017a, title = {Sistemas derivados de esquemas nodais em problemas bidimensionais de transporte de part{\'\i}culas: uma an{\'a}lise espectral}, booktitle = {Proceeding Series of the Brazilian Society of Applied and Computational Mathematics}, volume = {3(1)}, year = {2017}, note = {n/a}, pages = {010176:1{\textendash}7}, publisher = {SBMAC}, organization = {SBMAC}, abstract = {n/a}, author = {Picoloto, C.~B. and P. Rodrigues and da Cunha, R.~D. and Barichello, L.~B.} } @conference {kn:daCunha2017b, title = {Uma proposta para equa{\c c}{\~o}es auxiliares em metodologias nodais de solu{\c c}{\~o}es de problemas bidimensionais transporte de n{\^e}utrons em meio homog{\^e}neo}, booktitle = {Proceeding Series of the Brazilian Society of Applied and Computational Mathematics}, volume = {5(1)}, year = {2017}, note = {n/a}, pages = {010139:1{\textendash}2}, publisher = {SBMAC}, organization = {SBMAC}, abstract = {n/a}, author = {Picoloto, C.~B. and da Cunha, R.~D. and Barichello, L.~B.} } @article {kn:daCunha2017d, title = {Closed-form solutions for nodal formulations of two dimensional transport problems in heterogeneous media}, journal = {Annals of Nuclear Energy}, volume = {86}, year = {2015}, note = {n/a}, pages = {65{\textendash}71}, abstract = {n/a}, author = {Barichello, L.~B. and Picoloto, C.~B. and da Cunha, R.~D.} } @conference {kn:daCunha2015, title = {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}, booktitle = {ANS MC2015 - Joint International Conference on Mathematics and Computation (M\&C), Supercomputing in Nuclear Applications (SNA) and the Monte Carlo (MC) Method}, year = {2015}, note = {n/a}, pages = {1{\textendash}12}, publisher = {American Nuclear Society}, organization = {American Nuclear Society}, abstract = {n/a}, author = {da Cunha, R.~D. and Tres, A. and Barichello, L.~B.} } @article {kn:daCunha2014, title = {Explicit formulation of a Nodal Transport Method for Discrete Ordinates Calculations in Two-dimensional Fixed-source Problems}, journal = {Kerntechnik (1987)}, volume = {79}, year = {2014}, note = {n/a}, pages = {155{\textendash}162}, abstract = {n/a}, author = {Tres, A. and Picoloto, C.~B. and Prolo Filho, J.~F. and da Cunha, R.~D. and Barichello, L.~B.} } @article {6184, title = {Dynamic block GMRES: an iterative method for block linear systems}, volume = {27}, year = {2007}, note = {n/a}, month = {2007}, pages = {423 - 448}, abstract = {

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.

}, isbn = {1572-9044}, url = {https://doi.org/10.1007/s10444-006-9012-5}, author = {R.D da Cunha and Becker, D.} } @conference {kn:daCunha2002, title = {New Parallel (Rank-Revealing) {QR} Factorization Algorithms}, booktitle = {Euro-Par 2002}, series = {Lecture Notes in Computer Science}, number = {2400}, year = {2002}, note = {n/a}, pages = {677{\textendash}686}, publisher = {Spring-Verlag}, organization = {Spring-Verlag}, address = {Berlin}, abstract = {n/a}, author = {da Cunha, R.~D. and Becker, D. and Patterson, J.~C.}, editor = {B. Monien and R. Feldmann} } @article {kn:daCunha97, title = {A benchmark study based on the Parallel computation of the vector outer-product $A = uv^{T}$ operation}, journal = {Concurrency: Practice \& Experience}, volume = {9}, number = {8}, year = {1997}, note = {n/a}, pages = {803{\textendash}819}, publisher = {John Wiley \& Sons}, address = {New York}, abstract = {n/a}, author = {da Cunha, R.~D.} } @booklet {kn:daCunha94c, title = {PIM 2.0 {\textendash} the Parallel Iterative Methods Package for Systems of Linear Equations User{\textquoteright}s Guide {\textendash} Fortran 77 Version}, year = {1995}, note = {n/a}, month = {jun}, publisher = {Curso de P\' os-Gradua\c c\~ ao em Matem\' atica Aplicada, UFRGS {\textendash} Porto Alegre, Brasil}, type = {TR95-11}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @article {kn:daCunha94b, title = {The Parallel Iterative Methods (PIM) Package for the Solution of Systems of Linear Equations on Parallel Computers}, journal = {Applied Numerical Mathematics}, volume = {19}, number = {1-2}, year = {1995}, note = {n/a}, pages = {33{\textendash}50}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @booklet {kn:daCunha95a, title = {The Parallel Iterative Methods (PIM) Package for the Solution of Systems of Linear Equations on Parallel Computers}, year = {1995}, note = {n/a}, publisher = {CPG Matem{\'a}tica Aplicada, UFRGS}, type = {TR 95-1}, abstract = {n/a}, author = {da Cunha, R.~D.} } @booklet {kn:daCunha95b, title = {PIM 2.0 {\textendash} the Parallel Iterative Methods Package for Systems of Linear Equations User{\textquoteright}s Guide (Fortran 77 Version)}, year = {1995}, note = {n/a}, publisher = {CPG Matem{\'a}tica Aplicada, UFRGS}, type = {TR 95-11}, abstract = {n/a}, author = {da Cunha, R.~D.} } @booklet {kn:daCunha93d, title = {PIM 1.1} {\textendash} the Parallel Iterative Methods Package for Systems of Linear Equations {User{\textquoteright}s Guide {\textendash} Fortran 77 Version}, year = {1994}, note = {n/a}, month = {jan}, publisher = {Computing Laboratory, University of Kent at Canterbury}, type = {TR-2-94}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @article {kn:daCunha93a, title = {A Parallel Implementation of the Restarted GMRES Iterative Method for Nonsymmetric Systems of Linear Equations}, journal = {Advances in Computational Mathematics}, volume = {2}, number = {3}, year = {1994}, note = {

Also as TR-7-93, Computing Laboratory, University of Kent at Canterbury

}, month = {apr}, pages = {261{\textendash}277}, publisher = {J.C. Baltzer}, address = {Basel}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @booklet {kn:daCunha93e, title = {Using Parallel Programming Environments on Clusters of Workstations}, year = {1993}, note = {n/a}, month = {nov}, publisher = {Computing Laboratory, University of Kent at Canterbury}, type = {Internal Report 12-93}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @booklet {kn:daCunha93aa, title = {A Parallel Implementation of the Restarted GMRES Iterative Method for Nonsymmetric Systems of Linear Equations}, year = {1993}, note = {

Also in: {\em Advances in Computational Mathematics}, 2(3):261-277, J.C. Baltzer, April 1994

}, month = {apr}, publisher = {Computing Laboratory, University of Kent at Canterbury}, type = {TR-7-93}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @booklet {kn:daCunha93bb, title = {Porting Linear Algebra Subroutines From Transputers To Clusters of Workstations}, year = {1993}, note = {

Also in: Proceedings of the {\textquoteleft}{\textquoteleft}World Transputer Congress{\textquoteright}{\textquoteright} conference, September 20{\textendash}22, 1993, Aachen, V.1, pp. 660-667

}, month = {apr}, publisher = {Computing Laboratory, University of Kent at Canterbury}, type = {TR-6-93}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @article {kn:daCunha92d, title = {Parallel Preconditioned {Conjugate-Gradients} Methods on Transputer Networks}, journal = {Transputer Communications}, volume = {1}, number = {2}, year = {1993}, note = {

Also as TR-5-93, Computing Laboratory, University of Kent at Canterbury, U.K.

}, pages = {111{\textendash}125}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @inbook {kn:daCunha92b, title = {The Parallel Solution of Partial Differential Equations on Transputer Networks}, series = {Transputing for Numerical and Neural Network Applications}, year = {1992}, note = {

Also as TR-17-92, Computing Laboratory, University of Kent at Canterbury, U.K.

}, pages = {96{\textendash}109}, publisher = {IOS Press}, organization = {IOS Press}, address = {Amsterdam}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} } @inbook {kn:daCunha92a, title = {The Parallel Solution of Systems of Linear Equations Using Iterative Methods on Transputer Networks}, series = {Transputing for Numerical and Neural Network Applications}, year = {1992}, note = {

Also as TR-16-92, Computing Laboratory, University of Kent at Canterbury, U.K.

}, pages = {1{\textendash}13}, publisher = {IOS Press}, organization = {IOS Press}, address = {Amsterdam}, abstract = {n/a}, author = {da Cunha, R.~D. and Hopkins, T.~R.} }