Publications

Current Research Group

2025

Paper
BIESEK, V.; KONZEN, P. H. A.. Burgers' PINNs with Transfer Learning by θ-Scheme. Ciência e Natura, v. 47(1), 89888, 2025.
[paper] [doi:10.5902/2179460X89888]

Paper
ROMAN, N.; KONZEN, P. H. A.. ANN-MoC Method for the Inverse Problem of Source Characterization. Ciência e Natura, v. 47(1), 89819, 2025.
[paper] [doi:10.5902/2179460X89819]

2024

Conference work
MELLO, M. M. M.; ESPÍRITO SANTO, A. M.; KONZEN, P. H. A.. ANN-Flux Method to Nonlinear Conservation Laws: Selected Shock and Rarefaction Cases. In: 10o MCSul / X SEMENGO, Rio Grande, RS, Brazil, 2024.
[slides]

Talk
KONZEN, P. H. A.. Aprendizagem Profunda na Solução de Equações de Transporte de Partículas Neutras. In: XLIII CNMAC 2024, Porto de Galinhas, PE, Brazil, 2024.
[slides]

Talk
KONZEN, P. H. A.. Aplicações de PINNs na Dinâmica dos Fluidos Computacional. In: V CBJME, UFMG, Belo Horizonte, MG, Brazil, 2024.
[slides]

Talk
KONZEN, P. H. A.. Avanços da Aprendizagem Profunda na Simulação Numérica de EDPs. In: ERMAC-SP (Regional 8), Santo André, SP, Brazil, 2024.
[slides]

Conference work
KONZEN, P. H. A.; ROMAN, N.; TCHANTCHALAM, A.. The data-driven ANN-MoC method to neutral particle transport problems in 1D. To appear in: 16th IMSE, Macaé, RJ, Brazil, 2024.

Conference work
MELLO, M.M; ESPÍRITO SANTO, A.M.; KONZEN, P.H.A.. ANN-Flux Method to the Solution of Nonlinear Conservation Laws: the Shock and the Rarefaction Cases. In: XLIII CNMAC 2014, Porto de Galinhas, PE, Brazil.
[poster] [abstract]

Conference work
BIESEK, V.; KONZEN, P.H.A.. PINNs with θ-Learning Transfer for a Pure Convective PDE in 2D. Submitted to: XLIII CNMAC 2014, Porto de Galinhas, PE, Brazil.

Conference work
ROMAN, N.G.; KONZEN, P.H.A.. ANN-MoC Estimations of the Absorption Coefficient in Multi-Region Media. Submitted to: XLIII CNMAC 2014, Porto de Galinhas, PE, Brazil.

Paper
BIESEK, V.; KONZEN, P. H. A.. Burgers’ PINNs with Implicit Euler Transfer Learning. Revista Mundi Engenharia, Tecnologia e Gestão, v. 9(4), 2024.
[paper] [doi:10.21575/25254782rmetg2024vol9n42017]

Paper
NELSON, G. R.; SANTOS, P. C.; KONZEN, P. H. A.. ANN-MoC Method for Inverse Transient Transport Problems in One-Dimensional Domain. LATIN-AMERICAN JOURNAL OF COMPUTING, 2(XI), 2024, p. 41-50.
[paper] [doi:10.5281/zenodo.12191947] [arXiv.2310.14459]


2023

Conference work
SANTOS, P.C.; KONZEN, P.H.A.. Teste de sensibilidade na aplicação de RNAs para a localização de fonte em problemas de transporte de partículas. In: SIC-UFRGS (2023), Porto Alegre, RS, Brasil.
[abstract] [video]

Conference work
SANTOS, P.C.; ROMAN, N.G.; KONZEN, P.H.A.. Método ANN-MoC com Pré-Processamento de Dados para Resolução de Problema Inverso de Transporte. To appear in IV JMMA (2023), Santa Maria, RS, Brazil.
[preprint]

Conference work
TCHANTCHALAM, A.; KONZEN, P.H.A.. Método ANN-MoC versus Linear-MoC para Problemas de Transporte de Partı́culas Neutras em Geometria 1D. To appear in IV JMMA (2023), Santa Maria, RS, Brazil.
[preprint]

Conference work
ROMAN, N.G.; SANTOS, P.C.; KONZEN, P.H.A.. Método ANN-MoC para Problema Inverso de Caracterização da Fonte. To appear in IV JMMA (2023), Santa Maria, RS, Brazil.
[preprint]

Conference work
LUMMERTZ, F.D.; BIESEK, V.; KONZEN, P.H.A.; JUCHEM NETO, J.P.. Rede Neural Informada por Modelo de Crescimento Econômico AK Espacial. To appear in IV JMMA (2023), Santa Maria, RS, Brazil.
[preprint]

Conference work
BIESEK, V.; KONZEN, P.H.A.. PINNs para a Resolução da Equação de Burgers com Transferência de Aprendizagem pelo Esquema Theta. To appear in IV JMMA (2023), Santa Maria, RS, Brazil.
[preprint]

Conference work
ROMAN, N.G.; SANTOS, P.C.; KONZEN, P.H.A.. ANN-MoC Method for Inverse Transient Transport Problems in One-Dimensional Domain. In: XXVI ENMC/XIV ECTM (2023), Nova Friburgo, RJ, Brazil.
[paper] [arXiv.2310.14459] [slides]

Conference work
BIESEK, V.; KONZEN, P.H.A.. Burgers' PINNs with Implicit Euler Transfer Leraning. In: XXVI ENMC/XIV ECTM (2023), Nova Friburgo, RJ, Brazil.
[paper] [arXiv.2310.15343] [slides]

Conference work
JUCHEM, J. P.; KONZEN, P. H. A.; CLAEYSSEN, J. C. R.. A Model of Economic Growth in Two Spatial Dimensions. In:  Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC (2023), Bonito, MS, Brazil.
[paper] [doi: 10.5540/03.2023.010.01.0011]

Conference work
KONZEN, P. H. A.. ANN-MoC Method for Solving Unidimensional Neutral Particle Transport Problems. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC (2023), Bonito, MS, Brazil.
[paper] [doi: 10.5540/03.2023.010.01.0019] [arXiv:2307.03114] [slides]

Conference work
BIESEK, V.; MODENA, A.B.; KONZEN, P. H. A.. PINNs Based on the Burgers Equation. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC (2023), Bonito, MS, Brazil.
[pdf] [poster]

Conference work
TCHANTCHALAM, A.; KONZEN, P. H. A.. ANN-MoC Approach for Solving First-Order Partial Differential Equations. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC (2023), Bonito, MS, Brazil.
[pdf] [poster]

Conference work
BIESEK, V.; MODENA, A. B.; KONZEN, P. H. A.. Redes Neurais Artificiais para a Resolução da Equação do Calor em Domínios Bidimensionais. In: XI ERMAC-RS (2023), Uversidade Federal de Pelotas (UFPel), Pelotas, RS, Brazil.
[pdf] [poster]

Conference work
MODENA, A. B.; BIESEK, V.; KONZEN, P. H. A.. Redes Neurais Artificiais para a Resolução da Equação de Laplace em Domínios Multidimensionais. In: XI ERMAC-RS (2023), Uversidade Federal de Pelotas (UFPel), Pelotas, RS, Brazil.
[pdf] [poster]

Conference work
TCHANTCHALAM, A.; KONZEN, P. H. A.. Método ANN-MoC para Resolução de Problemas de Transporte de Partículas Neutras em Domínio Unidimensional. In: XI ERMAC-RS (2023), Uversidade Federal de Pelotas (UFPel), Pelotas, RS, Brazil.
[pdf] [poster]

Conference work
SANTOS, P. C.; KONZEN, P. H. A.. Análise de Sensibilidade na Aplicação de RNAs para a Localização de Fonte em Problemas de Transporte de Partículas. In: XI ERMAC-RS (2023), Uversidade Federal de Pelotas (UFPel), Pelotas, RS, Brazil.
[pdf] [poster]

Paper
KONZEN, P. H. A.; GUIDI, L. F.; RICHTER, T.. Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering. DEFECT AND DIFFUSION FORUM. v.427, p.109 - 119, 2023. [doi: 10.4028/p-qwlv5y] [arXiv:2307.09159]


2022

MELO, G. R. ; SANTOS, P. C.; KONZEN, P. H. A.. ANN application to one-dimensional inverse transport problems. In: Peruvian Conference on Scientific Computing, 2022, Cusco. Peruvian Conference on Scientific Computing, 2022.
[pdf]

KONZEN, P. H. A.; Guidi, L. F. ; RICHTER, T. . QRDOM with FEM for anisotropic transport problems. In: Peruvian Conference on Scientific Computing, 2022, Cusco. Peruvian Conference on Scientific Computing, 2022.
[pdf]

SANTOS, P. C.; Melo, G.R.; KONZEN, P.H.A.. RNAS APLICADAS A DETERMINAÇÃO E LOCALIZAÇÃO DE FONTE DE PARTÍCULAS EM PROBLEMAS DE TRANSPORTE UNIDIMENSIONAIS. In: ENMC/ECTM/MCSul/SEMENGO 2022, 2022. Anais do ENMC/ECTM/MCSul/SEMENGO, 2022.
[pdf]

KONZEN, P.H.A.; Guidi, L. F.; RICHTER, T.. QUASI-RANDOM DISCRETE ORDINATES METHOD TO RADIATIVE TRANSFER EQUATION WITH LINEAR ANISOTROPIC SCATTERING. In: ENMC/ECTM/MCSul/SEMENGO 2022, 2022. Anais do ENMC/ECTM/MCSul/SEMENGO, 2022. DOI: 10.29327/1142685.25-41
[pdf]


2020

CORREA, C. ; KONZEN, P.H.A. ; CARVALHO, Â.R. ; GIOVANELLA, P. ; BENTO, F.M. ; FERRÃO, M.F.. Use of digital images to count colonies of biodiesel deteriogenic microorganisms. JOURNAL OF MICROBIOLOGICAL METHODS, v. 178, p. 106063, 2020. DOI: 10.1016/j.mimet.2020.106063


2019

KONZEN, P. H. A.; GUIDI, L. F. ; RICHTER, T. . Quasi-random discrete ordinates method for neutron transport problems. ANNALS OF NUCLEAR ENERGY, v. 133, p. 275-282, 2019. DOI: 10.1016/j.anucene.2019.05.017
[arXiv:2307.09159]

SAUTER, E.; DE AZEVEDO, F. S.; KONZEN, P. H. A. Nyström Method Applied to the Transport Equation in a Semi-Reflective Rectangle. Journal of Computational and Theoretical Transport. v.47, p.520 - 541, 2019. (pdf)


2018

AZEVEDO, F.S.; SAUTER, E.; KONZEN, P.H.A.; THOMPSON, M.; BARICHELLO, L.B.. Integral formulation and numerical simulations for neutron transport equation in X-Y geometry. Annals of Nuclear Energy, v. 112, 735-747, 2018. (pdf)


2017

KONZEN, P.H.A.; SAUTER, E.; AZEVEDO, F. S.; ZINGANO, P.R.A.. Numerical Simulations with the Galerkin Least Squares Finite Element Method for the Burgers' Equation on the Real Line. TEMA. Tendências em Matemática Aplicada e Computacional. , v.18, p.287 - 304, 2017. DOI: 10.5540/tema.2017.018.02.0287.
[pdf] [arXiv]


2016

KONZEN, P.H.A.; SAUTER, E.; AZEVEDO, F.S.. Green Function Formulation and Finite Element Discretization for Solving the Heat Radiative Transfer in a Slab. Journal of Computational and Theoretical Transport, v. 45, p. 368-385, 2016.
[doi] [pdf]


2015

DE AZEVEDO, F.S. ; SAUTER, E. ;KONZEN, P.H.A. ; THOMPSON, M. . Numerical results for the transport equation with strongly anisotropic scattering in a slab. Annals of Nuclear Energy, v. 79, p. 61-67, 2015.


2011

KONZEN, P. H. A. ; RICHTER, T. ; RIEDEL, U. ; MAAS, U. . Implementation of REDIM reduced chemistry to model an axisymmetric laminar diffusion methane-air flame. Combustion Theory and Modelling, v. 15, p. 299-323, 2011.
[doi]