Last update: April 11th, 2023 

Author’s research is currently supported by The Center for Research and Development in Mathematics and Applications (CIDMA) through the Portuguese Foundation for Science and Technology (FCT), references UIDB/04106/2020 and UIDP/04106/2020.


Since 2021 
  1. (with Jorge Marques) Structurally damped σσ−evolution equations with power-law memory (2022), Under Review.


  2. (with Jorge MarquesStrichartz estimates for structurally damped equations of space-time-fractional type, ICMA2SC’22 extended abstract (2022). DOI:


  3. On fractional semidiscrete Dirac operators of Lévy-Leblond type
    Mathematische Nachrichten, (First published: 11 April 2023)
    DOI: 10.1002/mana.202100234
  4. On fundamental solutions of higher-order space-fractional Dirac equations, Mathematical Methods in the Applied Sciences (First published: 01 September 2021)
    DOI: 10.1002/mma.7714 


  5. (with Swanhild BernsteinA fractional Clifford Fourier Transform based on a deformed Hamiltonian for the harmonic oscillator, AIP Conference Proceedings 2293, 110002 (2020);


  6. Time-Changed Dirac–Fokker–Planck Equations on the LatticeJ Fourier Anal Appl 26, 44 (2020).

  7. Faustino, Nelson. 2019. “Relativistic Wave Equations on the Lattice: An Operational Perspective”. In Topics in Clifford Analysis, 439-469. Springer International Publishing.
    Publicado • 10.1007/978-3-030-23854-4_21


  8. Nelson Faustino. 2019. “A note on the discrete Cauchy-Kovalevskaya extension”. Mathematical Methods in the Applied Sciences.


  9. Faustino, Nelson. 2018. “Symmetry preserving discretization schemes through hypercomplex variables”. Trabalho apresentado em INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017)Salónica, Grécia, 020003-1-020003-4.
    Publicado • 10.1063/1.5043648


  10. N. Faustino. 2017. “Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: A Bayesian probability perspective”. Applied Mathematics and Computation 315: 531-548.


  11. Nelson José Rodrigues Faustino. 2017. “A conformal group approach to the Dirac-Kähler system on the lattice”. Mathematical Methods in the Applied Sciences.


  12. Faustino, Nelson. 2016. “Solutions for the Klein–Gordon and Dirac Equations on the Lattice Based on Chebyshev Polynomials”. Complex Analysis and Operator Theory.


  13. Abreu, Luis Daniel; Faustino, Nelson. 2015. “ON TOEPLITZ OPERATORS AND LOCALIZATION OPERATORS”. Proceedings of the American Mathematical Society 143 (10): 4317-4323.


  14. Faustino, N.. 2014. “Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle”. Applied Mathematics and Computation 247: 607-622.


  15. Faustino, Nelson. 2013. “Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)”. Symmetry Integrability and Geometry-Methods and Applications 9.


  16. Constales, Denis; Faustino, Nelson; Krausshar, Rolf Soeren. 2011. “Fock spaces, Landau operators and the time-harmonic Maxwell equations”. Journal of Physics a-Mathematical and Theoretical 44 (13).


  17. Faustino, N.; Ren, G.. 2011. “(Discrete) Almansi type decompositions: an umbral calculus framework based on DSP (1 vertical bar 2) symmetries”. Mathematical Methods in the Applied Sciences 34 (16): 1961-1979.




  18. Faustino, N.. 2010. “Further results in discrete Clifford analysis”. In Progress in Analysis and Its Applications7th International ISAAC CongressLondres, Reino Unido, 205-211. Singapura: WORLD SCIENTIFIC.
  19. Cerejeiras, P.; Faustino, N.; Vieira, N.. 2008. “Numerical Clifford analysis for nonlinear Schrodinger problem”. Numerical Methods For Partial Differential Equations 24 (4): 1181-1202.


  20. Faustino, Nelson. 2008. “The application of a discrete function theory to the solution of the Navier-Stokes equations”. Advances in Applied Clifford Algebras 18 (3-4): 599-610.


  21. Discrete Dirac operators...
  22. Fischer Decomposition…


  23. Faustino, N.; Vieira, N.; Simos, Theodore E.; Psihoyios, George; Tsitouras, Ch.. 2007. “Numerical Clifford Analysis for the Non-stationary Schro¨dinger Equation”. Trabalho apresentado em INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2007)Corfu, Grécia, 742-746.
    Publicado • 10.1063/1.2790258


  24. Faustino, Nelson. 2006. “Interpolating Wavelets applied to the Navier-Stokes equations”. PAMM 6 (1): 735-736.
    Publicado • 10.1002/pamm.200610348


  25. Faustino, N; Gurlebeck, K; Hommel, A; Kahler, U. 2006. “Difference potentials for the Navier-Stokes equations in unbounded domains”. Journal of Difference Equations and Applications 12 (6): 577-595.

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