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## Faustino, Nelson José Rodrigues

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 Author ID: faustino.nelson-jose-rodrigues Published as: Faustino, Nelson; Faustino, N.; Faustino, Nelson José Rodrigues Homepage: https://www.uc.pt/feuc/pessoas_servicos/docentes/nelson_faustino External Links: MGP · ORCID · arXiv · Google Scholar · ResearchGate · dblp
 Documents Indexed: 18 Publications since 2006 Reviewing Activity: 2 Reviews
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#### Co-Authors

 10 single-authored 3 Kähler, Uwe 2 Vieira, Nelson 1 Abreu, Luís Daniel 1 Cerejeiras, Paula 1 Constales, Denis 1 Gürlebeck, Klaus 1 Hommel, Angela 1 Kraußhar, Rolf Sören 1 Ren, Guangbin 1 Sommen, Franciscus
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#### Serials

 3 Mathematical Methods in the Applied Sciences 3 Advances in Applied Clifford Algebras 2 Applied Mathematics and Computation 1 Proceedings of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Analysis and Operator Theory 1 Journal of Physics A: Mathematical and Theoretical
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#### Fields

 14 Functions of a complex variable (30-XX) 5 Difference and functional equations (39-XX) 4 Special functions (33-XX) 4 Partial differential equations (35-XX) 4 Numerical analysis (65-XX) 4 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Fluid mechanics (76-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

14 Publications have been cited 95 times in 40 Documents Cited by Year
Discrete Dirac operators in Clifford analysis. Zbl 1208.30046
Faustino, Nelson; Kähler, Uwe; Sommen, Frank
2007
Fischer decomposition for difference Dirac operators. Zbl 1116.15023
Faustino, N.; Kähler, U.
2007
Difference potentials for the Navier–Stokes equations in unbounded domains. Zbl 1092.76043
Faustino, N.; Gürlebeck, K.; Hommel, A.; Kähler, U.
2006
(Discrete) Almansi type decompositions: an umbral calculus framework based on symmetries. Zbl 1244.30069
Faustino, N.; Ren, G.
2011
Numerical Clifford analysis for nonlinear Schrödinger problem. Zbl 1170.65071
Cerejeiras, P.; Faustino, N.; Vieira, N.
2008
Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials. Zbl 1332.30077
Faustino, Nelson
2016
Further results in discrete Clifford analysis. Zbl 1270.30019
Faustino, N.
2010
A conformal group approach to the Dirac-Kähler system on the lattice. Zbl 1371.30043
Faustino, Nelson José Rodrigues
2017
Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle. Zbl 1338.05016
Faustino, N.
2014
Fock spaces, Landau operators and the time-harmonic Maxwell equations. Zbl 1213.81218
Constales, Denis; Faustino, Nelson; Kraußhar, Rolf Sören
2011
On Toeplitz operators and localization operators. Zbl 1321.47055
Abreu, Luís Daniel; Faustino, Nelson
2015
Special functions of hypercomplex variable on the lattice based on $$SU(1,1)$$. Zbl 1286.22015
Faustino, Nelson
2013
Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: a Bayesian probability perspective. Zbl 1426.81035
Faustino, N.
2017
The application of a discrete function theory to the solution of the Navier-Stokes equations. Zbl 1204.30040
Faustino, Nelson
2008
A conformal group approach to the Dirac-Kähler system on the lattice. Zbl 1371.30043
Faustino, Nelson José Rodrigues
2017
Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: a Bayesian probability perspective. Zbl 1426.81035
Faustino, N.
2017
Solutions for the Klein-Gordon and Dirac equations on the lattice based on Chebyshev polynomials. Zbl 1332.30077
Faustino, Nelson
2016
On Toeplitz operators and localization operators. Zbl 1321.47055
Abreu, Luís Daniel; Faustino, Nelson
2015
Classes of hypercomplex polynomials of discrete variable based on the quasi-monomiality principle. Zbl 1338.05016
Faustino, N.
2014
Special functions of hypercomplex variable on the lattice based on $$SU(1,1)$$. Zbl 1286.22015
Faustino, Nelson
2013
(Discrete) Almansi type decompositions: an umbral calculus framework based on symmetries. Zbl 1244.30069
Faustino, N.; Ren, G.
2011
Fock spaces, Landau operators and the time-harmonic Maxwell equations. Zbl 1213.81218
Constales, Denis; Faustino, Nelson; Kraußhar, Rolf Sören
2011
Further results in discrete Clifford analysis. Zbl 1270.30019
Faustino, N.
2010
Numerical Clifford analysis for nonlinear Schrödinger problem. Zbl 1170.65071
Cerejeiras, P.; Faustino, N.; Vieira, N.
2008
The application of a discrete function theory to the solution of the Navier-Stokes equations. Zbl 1204.30040
Faustino, Nelson
2008
Discrete Dirac operators in Clifford analysis. Zbl 1208.30046
Faustino, Nelson; Kähler, Uwe; Sommen, Frank
2007
Fischer decomposition for difference Dirac operators. Zbl 1116.15023
Faustino, N.; Kähler, U.
2007
Difference potentials for the Navier–Stokes equations in unbounded domains. Zbl 1092.76043
Faustino, N.; Gürlebeck, K.; Hommel, A.; Kähler, U.
2006
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#### Cited by 38 Authors

 9 Kähler, Uwe 9 Sommen, Franciscus 8 De Ridder, Hilde 7 Cerejeiras, Paula 7 Faustino, Nelson José Rodrigues 4 Ku, Min 4 Raeymaekers, Tim 3 Kraußhar, Rolf Sören 3 Sushch, Volodymyr 2 De Schepper, Hennie 2 Esmeral, Kevin 2 Hommel, Angela 2 Legatiuk, Anastasiia 2 Luef, Franz 1 Aloui, Lassaad 1 Baaske, Franka 1 Bernstein, Swanhild 1 Bory Reyes, Juan 1 De Bie, Hendrik 1 Eelbode, David 1 Gürlebeck, Klaus 1 Hassan, Gamal F. 1 Keller, Johannes 1 Kravchenko, Vladislav V. 1 Legatiuk, Dmitrii 1 Leopardi, Paul Charles 1 Maksimenko, Egor A. 1 Massé, A. 1 Perotti, Alessandro 1 Qiao, Yuying 1 Ren, Guangbin 1 Rodrigues, Maria Manuela 1 Roels, Matthias 1 Skrettingland, Eirik 1 Stern, Ari 1 Vâjiac, Adrian I. 1 Vieira, Nelson 1 Yuan, Hongfen
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#### Cited in 11 Serials

 8 Advances in Applied Clifford Algebras 8 Complex Analysis and Operator Theory 4 Applied Mathematics and Computation 3 Mathematical Methods in the Applied Sciences 3 The Journal of Fourier Analysis and Applications 2 Journal of Difference Equations and Applications 2 Complex Variables and Elliptic Equations 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Numerical Analysis
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#### Cited in 28 Fields

 25 Functions of a complex variable (30-XX) 13 Difference and functional equations (39-XX) 7 Partial differential equations (35-XX) 7 Quantum theory (81-XX) 5 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 4 Numerical analysis (65-XX) 3 Functional analysis (46-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Fluid mechanics (76-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)