[J19] On the occurrence of linearly dependent eigenvectors in nonclassical transport calculations


Journal article


Leonardo R.C. Moraes, Richard Vasques, Ricardo C. Barros
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 295(-), 2023, p. 108407


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APA   Click to copy
Moraes, L. R. C., Vasques, R., & Barros, R. C. (2023). [J19] On the occurrence of linearly dependent eigenvectors in nonclassical transport calculations. Journal of Quantitative Spectroscopy and Radiative Transfer, 295(-), 108407. https://doi.org/10.1016/j.jqsrt.2022.108407


Chicago/Turabian   Click to copy
Moraes, Leonardo R.C., Richard Vasques, and Ricardo C. Barros. “[J19] On the Occurrence of Linearly Dependent Eigenvectors in Nonclassical Transport Calculations.” Journal of Quantitative Spectroscopy and Radiative Transfer 295, no. - (2023): 108407.


MLA   Click to copy
Moraes, Leonardo R. C., et al. “[J19] On the Occurrence of Linearly Dependent Eigenvectors in Nonclassical Transport Calculations.” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 295, no. -, 2023, p. 108407, doi:10.1016/j.jqsrt.2022.108407.


BibTeX   Click to copy

@article{leonardo2023a,
  title = {[J19] On the occurrence of linearly dependent eigenvectors in nonclassical transport calculations},
  year = {2023},
  issue = {-},
  journal = {Journal of Quantitative Spectroscopy and Radiative Transfer},
  pages = {108407},
  volume = {295},
  doi = {10.1016/j.jqsrt.2022.108407},
  author = {Moraes, Leonardo R.C. and Vasques, Richard and Barros, Ricardo C.}
}

ABSTRACT:  Described here is the occurrence of linearly dependent eigenvectors in the analytical solution of the spectral approximation of the nonclassical transport equation in the discrete ordinates (SN) formulation. To our knowledge, this characteristic does not arise in the analytical solution of the classical SN transport equations. Therefore, classical deterministic analytically-based methods need to be modified when applied to nonclassical transport calculations in order to address this issue.

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