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Maria Irene Falcão is an Associate Professor at the Department of Mathematics of the University of Minho, Portugal and an integrated member of the Centre of Mathematics, a research unit of the same institution. She obtained a degree (Licenciatura) in Applied Mathematics from the University of Porto, Portugal, in 1987 and a PhD degree in Mathematics from the University of Minho in 1997, with a thesis on numerical conformal mappings. Her main research interests are numerical analysis, hypercomplex analysis and applications, and scientific software.
Identification

Personal identification

Full name
Maria Irene Ferrão de Carvalho Ribeiro Almeida Falcão

Citation names

  • Falcão, M. Irene
  • Maria Irene Falcão
  • Falcão, M.I.

Author identifiers

Ciência ID
1418-A384-9549
ORCID iD
0000-0001-7948-8341
Researcher Id
H-7775-2012
Scopus Author Id
12041820400

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English
Education
Degree Classification
1997
Concluded
 Doutoramento em Ciências (Doutoramento)
Universidade do Minho Escola de Ciências, Portugal
"Domain Decomposition Methods for Numerical Conformal Mapping" (THESIS/DISSERTATION)
1987
Concluded
 Licenciatura em Matemática - Ramo Matemática Aplicada (Licenciatura)
Universidade do Porto Faculdade de Ciências, Portugal
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2004/06/21 - Current Associate Professor (University Teacher) Universidade do Minho, Portugal
1997/03/21 - 2004/06/20 Assistant Professor (University Teacher) Universidade do Minho, Portugal
1991/05/03 - 1997/03/20 Assistant (University Teacher) Universidade do Minho, Portugal
1988/11/10 - 1991/05/02 Trainee Assistant (University Teacher) Universidade do Minho, Portugal
Projects

Other

Designation Funders
2020/01/01 - 2024/12/31 Center of Mathematics of the University of Minho
UIDP/00013/2020
10.54499/UIDP/00013/2020
Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2020/01/01 - 2024/12/31 Center of Mathematics of the University of Minho
UIDB/00013/2020
10.54499/UIDB/00013/2020
Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2015/04 - 2019/12 Centro de Matemática da Universidade do Minho
147370UID
 Fundação para a Ciência e a Tecnologia
Concluded
2011/01 - 2013/07 Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Universidade de Aveiro
PEst-C/MAT/UI4106/2011
Other
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
Concluded
2006 - 2008 Aproximação construtiva de campos de vectores harmónicos e monogénicos em R^3
Acção Integrada Luso-Alemã A-13/06
Co-Principal Investigator (Co-PI)
Conselho de Reitores das Universidades Portuguesas
Concluded
Outputs

Publications

Book
  1. Murgante, B.; Misra, S.; Rocha, A.M.A.C.; Torre, C.; Rocha, J.G.; Falcão, M.I.; Taniar, D.; Apduhan, B.O.; Gervasi, O.. Computational science and its applications - ICCSA 2014: 14th international conference Guimarães, Portugal, june 30 - july 3, 2014 proceedings, part v. 2014.
    10.1007/978-3-319-09156-3
Book chapter
  1. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "The Stability of Complex Dynamics for Two Families of Coquaternionic Quadratic Polynomials". 2023.
    10.1007/978-3-031-37105-9_48
  2. Isabel Cação; M. Irene Falcão; Helmuth R. Malonek; Fernando Miranda; Graça Tomaz. "Remarks on the Vietoris Sequence and Corresponding Convolution Formulas". 2023.
    10.1007/978-3-031-37105-9_45
  3. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "A Two-Step Quaternionic Root-Finding Method". 2023.
    10.1007/978-3-031-37105-9_47
  4. Isabel Cação; M. Irene Falcão; Helmuth R. Malonek; Graça Tomaz. "Non-symmetric Number Triangles Arising from Hypercomplex Function Theory in $$\mathbb {R}^{n+1}$$". 2022.
    10.1007/978-3-031-10536-4_28
  5. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "Remarks on the Zeros of Quadratic Coquaternionic Polynomials". 2022.
    10.1007/978-3-031-10536-4_31
  6. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "A Modified Quaternionic Weierstrass Method". 2022.
    10.1007/978-3-031-10536-4_27
  7. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "Fixed Points for Cubic Coquaternionic Maps". 2022.
    10.1007/978-3-031-10536-4_30
  8. Falcão, Maria Irene; Miranda, Fernando; Severino, Ricardo; Soares, Maria Joana. "Mathematica Tools for Coquaternions". In Computational Science and Its Applications – ICCSA 2021, 449-464. Springer International Publishing, 2021.
    10.1007/978-3-030-86973-1_32
  9. Falcão, Maria Irene; Malonek, Helmuth R.. "A Pascal-Like Triangle with Quaternionic Entries". In Computational Science and Its Applications – ICCSA 2021, 439-448. Springer International Publishing, 2021.
    10.1007/978-3-030-86973-1_31
  10. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "Polynomials over quaternions and coquaternions: A unified approach". 2017.
    10.1007/978-3-319-62395-5_26
  11. Cruz, C.; Falcão, M.I.; Malonek, H.R.. "On numerical aspects of pseudo-complex powers in R3". 2014.
    10.1007/978-3-319-09144-0_1
  12. Cruz, C.; Falcão, M.I.; Malonek, H.R.. "Monogenic polynomials of four variables with binomial expansion". 2014.
    10.1007/978-3-319-09144-0_15
  13. Miranda, F.; Falcão, M.I.. "Modified quaternion Newton methods". 2014.
    10.1007/978-3-319-09144-0_11
  14. Falcão, M.I.; Miranda, F.. "Quaternions: A mathematica package for quaternionic analysis". 2011.
    10.1007/978-3-642-21931-3_17
  15. Cação, I.; Falcão, M.I.; Malonek, H.R.. "On generalized hypercomplex Laguerre-type exponentials and applications". 2011.
    10.1007/978-3-642-21931-3_22
  16. Cruz, C.; Falcão, M.I.; Malonek, H.R.. "3D mappings by generalized Joukowski transformations". 2011.
    10.1007/978-3-642-21931-3_28
Conference paper
  1. I. Cação; H. R. Malonek; M. I. Falcão; G. Tomaz. "Generalized Vietoris’ number sequences from real and hypercomplex points of view". 2023.
    10.1063/5.0163287
  2. H. R. Malonek; I. Cação; M. I. Falcão; G. Tomaz. "Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables". 2023.
    10.1063/5.0162371
  3. Malonek, H.R.; Cação, I.; Falcão, M.I.; Tomaz, G.. "Harmonic analysis and hypercomplex function theory in co-dimension one". 2019.
    10.1007/978-3-030-26748-3_7
  4. Cação, I.; Falcão, M.I.; Malonek, H.R.. "Combinatorial identities in the context of hypercomplex function theory". 2018.
    10.1063/1.5043904
  5. Cação, Isabel; Falcão, M. Irene; Malonek, Helmuth R; Tomaz, Graça. "Pascal trapezoids emerging from hypercomplex polynomial sequences". Paper presented in MICOPAM, 2018.
    Published
  6. Irene Falcão, M.; Miranda, F.; Severino, R.; Soares, M.J.. "Mathematica tools for quaternionic polynomials". 2017.
    10.1007/978-3-319-62395-5_27
  7. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "Quaternionic polynomials with multiple zeros: A numerical point of view". 2017.
    10.1063/1.4972691
  8. Cruz, C.; Falcão, M.I.; Malonek, H.R.. "About Pascal's tetrahedron with hypercomplex entries". 2013.
    10.1063/1.4825539
  9. Cruz, Carla; Falcão, Maria Irene; Malonek, Helmuth Robert. "A note on totally regular variables and Appell sequences in hypercomplex function theory". 2013.
    10.1007/978-3-642-39637-3_24
  10. Tomaz, G.; Falcão, M.I.; Malonek, H.R.. "Pascal's triangle and other number triangles in Clifford analysis". 2012.
    10.1063/1.4756125
  11. Cruz, C.; Falcão, M.I.; Malonek, H.R.. "On pseudo-complex bases for monogenic polynomials". 2012.
    10.1063/1.4765512
  12. Cruz, C.; Falcão, M.I.; Malonek, H.R.. "On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials". 2012.
    10.1063/1.4756118
  13. Malonek, H.R.; Falcão, M.I.. "On special functions in the context of clifford analysis". 2010.
    10.1063/1.3498054
  14. Malonek, H.R.; Falcão, M.I.. "Clifford analysis between continuous and discrete". 2008.
    10.1063/1.2991019
  15. Malonek, H.R.; Falcão, M.I.. "Special monogenic polynomials - Properties and applications". 2007.
    10.1063/1.2790265
  16. Falcão, M.I.; Malonek, H.R.. "Generalized exponentials through appell sets in Rn+1and Bessel functions". 2007.
    10.1063/1.2790257
Journal article
  1. Cação, Isabel; Malonek, Helmuth R.; Falcão, M. Irene; Tomaz, Graça. "Intrinsic Properties of a Non-Symmetric Number Triangle". Journal of Integer Sequences 26 4 (2023):
    Open access • Published
  2. Falcão, Maria Irene; Miranda, Fernando; Severino, Ricardo; Soares, Maria Joana. "Dynamics of the coquaternionic maps x2 + bx". Rendiconti del Circolo Matematico di Palermo Series 2 72 2 (2023): 959-975. http://dx.doi.org/10.1007/s12215-021-00715-6.
    Published • 10.1007/s12215-021-00715-6
  3. Isabel Cação; M. Irene Falcão; Helmuth R. Malonek; Graça Tomaz. "A Sturm-Liouville equation on the crossroads of continuous and discrete hypercomplex analysis". Mathematical Methods in the Applied Sciences (2021): https://doi.org/10.1002/mma.7684.
    10.1002/mma.7684
  4. Cação, I.; Irene Falcão, M.; Malonek, H.R.. "On generalized Vietoris’ number sequences". Discrete Applied Mathematics 269 (2019): 77-85. http://www.scopus.com/inward/record.url?eid=2-s2.0-85056617002&partnerID=MN8TOARS.
    10.1016/j.dam.2018.10.017
  5. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "The number of zeros of unilateral polynomials over coquaternions revisited". Linear and Multilinear Algebra 67 6 (2019): 1231-1249. http://www.scopus.com/inward/record.url?eid=2-s2.0-85044221083&partnerID=MN8TOARS.
    10.1080/03081087.2018.1450828
  6. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "Weierstrass method for quaternionic polynomial root-finding". Mathematical Methods in the Applied Sciences 41 1 (2018): 423-437. http://www.scopus.com/inward/record.url?eid=2-s2.0-85038568199&partnerID=MN8TOARS.
    10.1002/mma.4623
  7. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "On the Roots of Coquaternions". Advances in Applied Clifford Algebras 28 5 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85055582653&partnerID=MN8TOARS.
    10.1007/s00006-018-0914-3
  8. Cação, I.; Malonek, H.R.; Falcão, M.I.; Tomaz, G.. "Combinatorial identities associated with a multidimensional polynomial sequence". Journal of Integer Sequences 21 7 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85053168231&partnerID=MN8TOARS.
  9. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "Evaluation schemes in the ring of quaternionic polynomials". BIT Numerical Mathematics 58 1 (2018): 51-72. http://www.scopus.com/inward/record.url?eid=2-s2.0-85021117566&partnerID=MN8TOARS.
    10.1007/s10543-017-0667-8
  10. Falcão, M. Irene; Miranda, Fernando; Severino, Ricardo; Soares, M. Joana. "Computational Aspects of Quaternionic Polynomials - Part I: Manipulating, Evaluating and Factoring". The Mathematica Journal 20 4 (2018): 1-24. http://dx.doi.org/10.3888/tmj.20-4.
    Open access • Published • 10.3888/tmj.20-4
  11. Falcão, Irene; Miranda, Fernando; Severino, Ricardo; Soares, Joana. "Computational Aspects of Quaternionic Polynomials - Part II: Root-Finding Methods". The Mathematica Journal 20 5 (2018): 1-31. http://dx.doi.org/10.3888/tmj.20-5.
    Published • 10.3888/tmj.20-5
  12. Cação, I.; Falcão, M.I.; Malonek, H.R.. "Three-Term Recurrence Relations for Systems of Clifford Algebra-Valued Orthogonal Polynomials". Advances in Applied Clifford Algebras 27 1 (2017): 71-85. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940993796&partnerID=MN8TOARS.
    10.1007/s00006-015-0596-z
  13. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "Basins of attraction for a quadratic coquaternionic map". Chaos, Solitons and Fractals 104 (2017): 716-724. http://www.scopus.com/inward/record.url?eid=2-s2.0-85030182842&partnerID=MN8TOARS.
    10.1016/j.chaos.2017.09.016
  14. Falcão, M.I.; Miranda, F.; Severino, R.; Soares, M.J.. "Iteration of Quadratic Maps on Coquaternions". International Journal of Bifurcation and Chaos 27 12 (2017): 1730039-1730039. http://www.scopus.com/inward/record.url?eid=2-s2.0-85038415059&partnerID=MN8TOARS.
    10.1142/S0218127417300397
  15. Cação, I.; Falcão, M.I.; Malonek, H.. "Hypercomplex Polynomials, Vietoris’ Rational Numbers and a Related Integer Numbers Sequence". Complex Analysis and Operator Theory 11 5 (2017): 1059-1076. http://www.scopus.com/inward/record.url?eid=2-s2.0-85013846453&partnerID=MN8TOARS.
    10.1007/s11785-017-0649-5
  16. Falcão, M.I.. "Newton method in the context of quaternion analysis". Applied Mathematics and Computation 236 (2014): 458-470. http://www.scopus.com/inward/record.url?eid=2-s2.0-84898647175&partnerID=MN8TOARS.
    10.1016/j.amc.2014.03.050
  17. Cruz, C.; Irene Falcão, M.; Malonek, H.R.. "Monogenic pseudo-complex power functions and their applications". Mathematical Methods in the Applied Sciences 37 12 (2014): 1723-1735. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904203030&partnerID=MN8TOARS.
    10.1002/mma.2931
  18. Cação, I.; Falcão, M.I.; Malonek, H.R.. "A Matrix Recurrence for Systems of Clifford Algebra-Valued Orthogonal Polynomials". Advances in Applied Clifford Algebras 24 4 (2014): 981-994. http://www.scopus.com/inward/record.url?eid=2-s2.0-84911969138&partnerID=MN8TOARS.
    10.1007/s00006-014-0505-x
  19. Falcão, M.I.; Malonek, H.R.. "A note on a one-parameter family of non-symmetric number triangles". Opuscula Mathematica 32 4 (2012): 661-673. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872312158&partnerID=MN8TOARS.
    10.7494/OpMath.2012.32.4.661
  20. Malonek, H.R.; Falcão, M.I.. "On Paravector Valued Homogeneous Monogenic Polynomials with Binomial Expansion". Advances in Applied Clifford Algebras 22 3 (2012): 789-801. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865822721&partnerID=MN8TOARS.
    10.1007/s00006-012-0361-5
  21. Cação, I.; Falcão, M.I.; Malonek, H.R.. "Matrix representations of a special polynomial sequence in arbitrary dimension". Computational Methods and Function Theory 12 2 (2012): 371-391. http://www.scopus.com/inward/record.url?eid=2-s2.0-84863198811&partnerID=MN8TOARS.
    10.1007/BF03321833
  22. Cação, I.; Falcão, M.I.; Malonek, H.R.. "Laguerre derivative and monogenic Laguerre polynomials: An operational approach". Mathematical and Computer Modelling 53 5-6 (2011): 1084-1094. http://www.scopus.com/inward/record.url?eid=2-s2.0-78751604031&partnerID=MN8TOARS.
    10.1016/j.mcm.2010.11.071
  23. Malonek, H.R.; Falcão, M.I.. "3D-mappings by means of monogenic functions and their approximation". Mathematical Methods in the Applied Sciences 33 4 (2010): 423-430. http://www.scopus.com/inward/record.url?eid=2-s2.0-77249140539&partnerID=MN8TOARS.
    10.1002/mma.1211
  24. Bock, S.; Falcão, M.I.; Gürlebeck, K.; Malonek, H.. "A 3-dimensional Bergman kernel method with applications to rectangular domains". Journal of Computational and Applied Mathematics 189 1-2 (2006): 67-79. http://www.scopus.com/inward/record.url?eid=2-s2.0-31544476263&partnerID=MN8TOARS.
    10.1016/j.cam.2005.04.058
  25. Falcão, M.I.; Papamichael, N.; Stylianopoulos, N.S.. "Approximating the conformal maps of elongated quadrilaterals by domain decomposition". Constructive Approximation 17 4 (2001): 589-617. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035537152&partnerID=MN8TOARS.
    10.1007/s003650010037
  26. Falcão, M.I.; Papamichael, N.; Stylianopoulos, N.S.. "Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping". Journal of Computational and Applied Mathematics 106 1 (1999): 177-196. http://www.scopus.com/inward/record.url?eid=2-s2.0-0032653892&partnerID=MN8TOARS.
    10.1016/S0377-0427(99)00067-9
Manual
  1. Maria Irene Falcão; Fernando Miranda. Matemática Computacional II com o Mathematica. 2020.
  2. Maria Irene Falcão; Maria Joana Soares. Exercícios de álgebra linear. 2016.
  3. Maria Irene Falcão. Matemática computacional I: programar em Matlab. 2009.
  4. Maria Irene Falcão; Maria Joana Soares. Análise Numérica: um curso prático com MATLAB. 2004.
  5. Maria Irene Falcão. Transformações Conformes. 2003.
  6. Maria Irene Falcão. Iniciação ao MATLAB. 2001.
  7. Maria Joana Soares; Maria Irene Falcão. Complementos de análise numérica: valores e vectores próprios. 2000.
Newsletter article
  1. Falcão, M. Irene; Miranda, Fernando; Severino, Ricardo; Soares, M. Joana. "Dynamics with Coquaternions", CIM Bulletin, 2018, http:\\www.cim.pt\CIM-Bull.
Thesis / Dissertation
  1. "Domain Decomposition Methods for Numerical Conformal Mapping". PhD, 1997.

Other

Software
  1. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "CoqPolynomial". 2019.
  2. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "QPolynomial". 2018.
  3. Maria Irene Falcão; Fernando Miranda; Ricardo Severino; Maria Joana Soares. "Coquaternions Package". 2017.
  4. Maria Irene Falcão; Fernando Miranda. "QuaternionAnalysis Mathematica Package". 2014.
  5. Maria Irene Falcão; Maria Joana Soares. "Numerical Analysis". 2009.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023 Remarks on the Vietoris Sequence and Corresponding Convolution Formulas International Conference on Computational Science and Its Applications
(Atenas, Greece)
2023 Algorithms for determining zeros of coquaternionic polynomials Second ANAP Meeting
(Arouca, Portugal)
2022 Remarks on the Zeros of Quadratic Coquaternionic Polynomials The 22nd International Conference on Computational Science and its Applications
(Málaga, Spain)
2022 Numerical Problems in the Ring of Quaternionic Polynomials (poster) Challenges in Numerical Analysis and Scientific Computing
University of Minho
2021 Comparative study of quaternionic root-finding methods AMS Special Session on Quaternions
online
2021 QuatPol: a Matlab toolbox for quaternions (poster) Open Day of CMAT
University of Trás-os-Montes e Alto Douro
2020 Special coquaternionic polynomials New Trends in Quaternions and Octonions NTQO 2020
Polytechnic Institute of Guarda
2020 Zeros of coquaternionic equations International conference on Hypercomplex Analysis in Mathematics and in the Applied Sciences
(Weimar, Germany)
2019 Evaluating and factoring quaternionic polynomials 4th International Conference on Numerical and Symbolic Computation:Developments and Applications
(Porto, Portugal)
2018 Hypercomplex Pascal triangle and generalizations. International Conference on Computational and Mathematical Methods in Science and Engineering,
(Cádiz, Spain)
2017 Mathematica Tools for Quaternionic Polynomials 17th International Conference on Computational Science and Its Applications
(Trieste, Italy)
2016 Computational aspects of quaternionic polynomials ICNPAA, 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences
(La Rochelle, France)
2016 Numerical methods for computing the zeros of unilateral quaternionic polynomials. Past and Future Directions in Hypercomplex and Harmonic Analysis
(Aveiro, Portugal)
2015 Quaternion Newton-like methods Seminário
University of Coimbra (Coimbra, Portugal)
2015 Quaternion Newton-like methods Seminar
University of Minho
2015 Conformal mapping and applications Seminar
University of Weimar (Weimar, Germany)
2014 Remarks on quaternion root-finding methods Five Decades of Clifford Analysis - Balance and Outlook
University of Aveiro (Aveiro, Portugal)
2014 On Numerical Aspects of Pseudo-Complex Powers in R^3 14th International Conference on Computational Science and Its Applications
University of Minho (Guimarães, Portugal)
2013 A note on totally regular variables and Appell sequences in hypercomplex function theory 13th International Conference on Computational Science and Its Applications
(Ho Chi Minh City, Vietnam)
2012 On pseudo-complex bases for monogenic polynomials in R^3 ICNPAA 2012, Mathematical Problems in Engineering, Aerospace and Sciences
(Viena, Austria)
2011 On Generalized Hypercomplex Laguerre-type Exponentials and Applications 11th International Conference on Computational Science and Its Applications
(Santander, Spain)
2011 Generalized Laguerre and Hermite polynomials in the context of Clifford analysis Conference on Computational Complex Analysis and Approximation Theory
(Protaras, Cyprus)
2011 Laguerre derivative and monogenic Laguerre polynomials: an operational approach Seminar
University of Aveiro
2009 On the use of a Maple software for calculations in Clifford-Analysis Seminar
University of Aveiro
2007 Generalized Exponentials through Appell sets in R^n+1 and Bessel functions International Conference of Numerical Analysis and Applied Mathematics
(Corfu, Greece)
2006 Remarks on the generation of monogenic functions 17th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering
(Weimar, Germany)
2004 A 3 Dimensional Bergman Kernel Method with Applications to Rectangular Domains 11th International Congress on Computational and Applied Mathematics
(Leuven, Belgium)
2004 Numerical experiments with Bergman kernel functions 7th Annual Workshop on Applications and Generalizations of Complex Analysis
University of Aveiro
2003 Numerical conformal mapping Seminar
University of Coimbra
2003 Constructing and visualizing conformal maps Seminar
Polytechnic Institute of Leiria
2003 Approximating H-value functions Numerical Analysis Meeting
University of Minho
2003 Applications of Bergman kernel functions 16th International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering
(Weimar, Germany)
2001 On domain decomposition methods for numerical conformal mapping Seminar
University of Weimar
2000 Transformações conformes e aplicações Seminar
University of Aveiro
1999 Determining crosscuts of subdivision for a domain decomposition method in numerical conformal mapping Seminar
University of Coimbra
1996 A Domain Decomposition Method (DDM) for numerical conformal mapping International Congress on Computational and Applied Mathematics
(Leuven, Belgium)
1995 Numerical conformal mappings Seminar
University of Minho
1993 The Bergman Kernel Method and the conformal mapping package - BKMPACK Seminar
University of Cyprus
1992 Experiments with the conformal mapping package - BKMPACK International Congress on Computational and Applied Mathematics
(Leuven, Belgium)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023 - 2023 Polinómios de Appell e aplicações
Co-supervisor
Universidade do Minho, Portugal
2021 - 2021 Quaternions: a toolbox for Matlab
Supervisor
Universidade do Minho, Portugal
2015 - 2015 Materiais manipuláveis no ensino de áreas e volumes no 3o ciclo do ensino básico
Co-supervisor
Universidade Nacional de Timor Lorosa'e Centro Nacional de Investigação Científica, Timor-Leste
2015 - 2015 Transformações Geométricas no 3o ciclo do ensino básico: A geometria dos artesãos timorenses
Co-supervisor
Universidade Nacional de Timor Lorosa'e Centro Nacional de Investigação Científica, Timor-Leste
2015 - 2015 Equações e Inequações no 3o ciclo do ensino básico
Co-supervisor
Universidade Nacional de Timor Lorosa'e Centro Nacional de Investigação Científica, Timor-Leste
2015 - 2015 A Estatística no 3o ciclo do ensino básico
Co-supervisor
Universidade Nacional de Timor Lorosa'e Centro Nacional de Investigação Científica, Timor-Leste
2010 - 2014 Numerical and Combinatorial applications of generalized Appell polynomials
Co-supervisor
Universidade de Aveiro, Portugal
2011 - 2011 Análise Quaterniónica
Supervisor
Universidade do Minho, Portugal
2006 - 2006 Quaterniões: cálculo numérico e simbólico
Supervisor
Universidade do Minho, Portugal
2001 - 2001 Transformações de Schwarz-Christoffel – Abordagens numéricas
Supervisor
Universidade do Minho, Portugal
1999 - 1999 Métodos de Decomposição de Domínio para Aproximação do Módulo Conforme
Supervisor
Universidade do Minho, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023 - 2023 7th New Trends in Quaternions and Octonions, Leiria, Portugal (2023)
Workshop (Member of the Organising Committee)
 Instituto Politécnico de Leiria, Portugal
2023 - 2023 Computational and Applied Mathematics :: ICCSA, Athens, Greece (2023)
Workshop (Co-organisor)
2022 - 2022 6th New Trends in Quaternions and Octonions, Covilhã, Portugal (2022)
Workshop (Member of the Organising Committee)
 Universidade da Beira Interior, Portugal
2022 - 2022 Computational and Applied Mathematics :: ICCSA, Malaga, Spain (2022)
Workshop (Co-organisor)
2022 - 2022 Challenges in Numerical Analysis and Scientific Computing, CNASC 2022, Braga, Portugal (2022)
Workshop (Co-organisor)
 Universidade do Minho, Portugal
2021 - 2021 5th New Trends in Quaternions and Octonions, Vila Real, Portugal (2021)
Workshop (Member of the Organising Committee)
 Universidade de Trás-os-Montes e Alto Douro, Portugal
2021 - 2021 Computational and Applied Mathematics :: ICCSA, Cagliari, Italy (2021)
Workshop (Co-organisor)
2020 - 2020 4th New Trends in Quaternions and Octonions, Guarda, Portugal (2020)
Workshop (Member of the Organising Committee)
 Instituto Politécnico da Guarda, Portugal
2019 - 2019 3rd New Trends in Quaternions and Octonions, Coimbra, Portugal (2019)
Workshop (Member of the Organising Committee)
 Universidade de Coimbra, Portugal
2019 - 2019 Joint Summer School of the UC | UP, MAP-PDMA and PDMat-UA PhD Programs (2019)
Other
 Universidade do Minho, Portugal
2017 - 2017 Computational and Applied Mathematics :: ICCSA, Trieste, Italy (2017)
Workshop (Co-organisor)
2016 - 2016 2nd New Trends in Quaternions and Octonions, Braga, Portugal (2016)
Workshop (Member of the Organising Committee)
 Universidade do Minho, Portugal
2015 - 2015 New Trends in Quaternions and Octonions, Aveiro, Portugal (2015)
Workshop (Member of the Organising Committee)
 Universidade de Aveiro, Portugal
2014 - 2014 14th International Conference on Computational Science and Its Applications (2014)
Conference (Member of the Organising Committee)
 Universidade do Minho - Campus de Azurém, Portugal
2014 - 2014 Computational and Applied Mathematics :: ICCSA 2014, Guimarães, Portugal (2014)
Workshop (Co-organisor)
 Universidade do Minho - Campus de Azurém, Portugal
2013 - 2013 Computational and Applied Mathematics :: ICCSA 2013, Ho Chi Minh, Vietname (2013)
Workshop (Co-organisor)
2011 - 2011 Approximation, Optimization and Applications :: ICCSA 2011, Santander, Spain (2011)
Workshop (Co-organisor)
2001 - 2001 Computational Methods and Function Theory - CMFT 2001, Aveiro, Portugal (2001)
Conference (Member of the Organising Committee)
 Universidade de Aveiro, Portugal
2000 - 2000 Constructive Methods in Function Theory (course) (2000)
Other (Co-organisor)
 Universidade do Minho, Portugal
2000 - 2000 VI Workshop on Numerical Analysis of Free Boundary Problems (2000)
Conference (Member of the Organising Committee)
 Universidade do Minho, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2023 O método espetral Tau para equações em derivadas parciais e fracionárias
(Thesis) Arguer
 Nilson June Lima (PhD)
Universidade do Porto Departamento de Matemática, Portugal
2019 Contributions to Spatial and Temporal Modelling
Thesis Member
 Andreia Alves Forte de Oliveira Monteiro (PhD)
Universidade do Minho, Portugal
2015 Evaluation of the coupling between an analytical and a numerical solution for boundary value problems with singularities
(Thesis) Main arguer
 Dmitrii Legatiuk (PhD)
Bauhaus-Universität Weimar, Germany
2015 Filtragem de soluções espectrais via aproximação de Padé
(Thesis) Main arguer
 João Emílio Raimundo Carrilho de Matos (PhD)
Universidade do Porto Departamento de Matemática, Portugal
2015 Como Interpretam os Professores as Propostas Metodológicas de Ensino de Matemática Presentes no Programa de Matemática do 30 Ciclo: Um Estudo Numa Escola em Díli
(Thesis) Arguer
 Maria Ester Cardoso Jaques Fernandes (Master)
Universidade Nacional Timor Lorasa'e, Timor-Leste
2015 O ensino de números fracionários no 2o ciclo do Ensino Básico
(Thesis) Arguer
 Albertina Fátima Martins (Master)
Universidade Nacional Timor Lorasa'e, Timor-Leste
2015 Materiais manipuláveis no ensino de áreas e volumes no 3o ciclo do ensino básico
Supervisor
 Horácio dos Ramos (Master)
Universidade Nacional Timor Lorasa'e, Timor-Leste
2015 Equações e Inequações no 3o ciclo do ensino básico
Supervisor
 Waldio Monteiro (Master)
Universidade Nacional de Timor Lorosa'e Centro Nacional de Investigação Científica, Timor-Leste
2012 Polinómios de Appell multidimensionais e sua representação matricial
(Thesis) Main arguer
 Graça Tomaz (PhD)
Universidade de Aveiro, Portugal
2011 Análise Quaterniónica
Supervisor
 Isabel Margarida Ferreira Amorim (Master)
Universidade do Minho, Portugal
2011 O princípio do módulo máximo e teoremas do tipo Phragmén-Lindelöf
(Thesis) Main arguer
 Robert de Sousa (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2009 Equações integrais de núcleo fracamente singular e aplicações a fenómenos de transporte radiativo
Thesis Member
 Maria do Rosário Ribeiro Fernandes (PhD)
Universidade do Porto Departamento de Matemática, Portugal
2008 Programação funcional: do lambda-Calculus às máquinas abstractas
President of the jury
 Sabina Afonso Ventuzelo (Master)
Universidade do Minho, Portugal
2007 Séries hipergeométricas generalizadas no contexto da teoria das funções hipercomplexas
(Thesis) Main arguer
 Tânia Cristina Gonçalves Robalo (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2006 Famílias normais e crescimento de funções polimonogénicas
(Thesis) Main arguer
 Regina de Almeida (PhD)
Universidade de Aveiro, Portugal
2006 Quaterniões: cálculo numárico e simbólico
Supervisor
 Maria Lúcia Pinheiro (Master)
Universidade do Minho, Portugal
2006 Problemas de optimização com restrição de complementaridade: uma aplicação ao mercado de energia eléctrica
President of the jury
 Helena Sofia Ferreira Rodrigues (Master)
Universidade do Minho, Portugal
2005 Elementos de análise quaterniónica modificada com aplicação a software de computação simbólica
(Thesis) Main arguer
 António Miguel Fonseca Lopes da Silva (Master)
Universidade de Aveiro Departamento de Matemática, Portugal
2005 Funções B-spline e aplicações
Thesis Member
 Paulo Jorge da Cruz Gil Cardoso (Master)
Universidade do Minho, Portugal
2004 Constructive approximation by monogenic polynomials
(Thesis) Arguer
 Maria Isabel Cação (PhD)
Universidade de Aveiro, Portugal
2003 Algoritmos paralelos para o cálculo de valores e vectores próprios em sistemas de multiprocessadores em memória distribuída
Thesis Member
 Maria Antónia Forjaz (PhD)
Universidade do Minho, Portugal
2003 Métodos unilaterais de Jacobi para a computação paralela de valores e vetores próprios de matrizes simétricas
Thesis Member
 Ana Júlia Viamonte (PhD)
Universidade do Minho, Portugal
2002 Singulatiries of generating functions of Pólya frequency sequences
Thesis Member
 Teresa Alzugarey Rodriguez (PhD)
Universidade do Algarve, Portugal
2001 Transformações de Schwarz-Christoffel – Abordagens numéricas
Supervisor
 José Fonseca Cruz (Master)
Universidade do Minho, Portugal
2000 Eisenstein series in Clifford analysis
Thesis Member
 Rolf Soeren Krausshar (Other)
Universidade de Aveiro, Portugal
1999 Inversão numérica da transformada de Laplace à custa dos polinómios de Laguerre
(Thesis) Main arguer
 Joaquim de Fontes Marques (Master)
Universidade do Porto Departamento de Matemática, Portugal
1999 Métodos de Decomposição de Domínio para Aproximação do Módulo Conforme
Supervisor
 Maria do Rosário Ribeiro Fernandes (Master)
Universidade do Minho, Portugal
1999 Onduletas no Intervalo
Thesis Member
 Maria Manuela Sousa (Master)
Universidade do Minho, Portugal

Committee member

Activity description
Role 		Institution / Organization
2020/07/24 - 2022/07/21 Scientific Council, School of Science
Member
 Universidade do Minho Escola de Ciências, Portugal
2020/07/24 - 2022/07/21 Centre of Mathematics
Director
 Universidade do Minho Centro de Matemática, Portugal
2018/11/18 - 2020/09/13 Pedagogical Council, School of Sciences
Member
 Universidade do Minho Escola de Ciências, Portugal
2018/06/22 - 2020/09/13 Doctoral Program in Applied Mathematics (MAP-PDMA)
Director
 Universidade do Minho Departamento de Matemática, Portugal
2018/07/10 - 2020/07/23 Directive Committee Centre of Mathematics
Member
 Universidade do Minho Centro de Matemática, Portugal
2007/10 - 2009/09 Comissão de Curso do Mestrado em Matemática Computacional
Member
 Universidade do Minho Departamento de Matemática, Portugal
2003/06 - 2007/10 Mestrado em Matemática Computacional
Director
 Universidade do Minho Departamento de Matemática, Portugal
2004/10 - 2006/09 Comissão de curso Licenciatura em Matemática
Member
 Universidade do Minho Departamento de Matemática, Portugal
2002/11 - 2004/11 Conselho de Cursos de Ciências Económicas, Empresariais e Políticas
Member
 Universidade do Minho, Portugal
1998/07 - 2002/09 Comissão de Curso da Licenciatura em Matemática e Ciências de Computação
Member
 Universidade do Minho, Portugal
2001/04 - 2002/04 Departamento de Matemática - Pólo de Braga
Coordinator
 Universidade do Minho Departamento de Matemática, Portugal
2000/01 - 2001/04 Departamento de Matemática
Other
 Universidade do Minho Departamento de Matemática, Portugal
1998/07 - 2000/07 Conselho de Cursos de Ciências Económicas, Empresariais e Políticas
Member
 Universidade do Minho, Portugal

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2006 - 2006 Numerical conformal mappings and generalizations 12th European Intensive Course on Complex Analysis and Applications to Partial Differential Equations Universidade de Coimbra Departamento de Matemática, Portugal

Interview (newspaper / magazine)

Activity description Newspaper / Forum
2020 CMAT promove investigação científica em matemática Perspetiva Atual