ALBERTO SIMÕES
ASSISTANT PROFESSOR
Publications
Mathematical Treatment of a Wave Diffraction Problem with Higher Order Boundary Conditions (with L. P. Castro), in: G. Paltineanu, E. Popescu, I. Toma (ed.), Trends and Challenges in Applied Mathematics, Bucharest: Matrix Rom Publishers, 2007, 44–49.
Fredholm Analysis for a Wave Diffraction Problem with Higher Order Boundary Conditions on a Strip (with L. P. Castro), in: Mathematical Problems in Engineering and Aerospace Sciences (S. Sivasundaram, ed.), Cambridge: Cambridge Scientific Publishers, 2009, 535-542.
Fredholm Analysis for a Wave Diffraction Problem with Higher Order Boundary Conditions on a Union of Strips (with L. P. Castro), American Institute of Physics, AIP - Conf. Proc. 1186, 2009, 49–56.
Discretization by the theory of reproducing kernels (with S. Saitoh, Y. Sawano and L. P. Castro), RIMS Kôkyûroku 1719, 2010, 142–154.
On the Solvability of a Problem of Wave Diffraction by a Union of a Strip and a Half-Plane (with L. P. Castro), American Institute of Physics, AIP - Conf. Proc. 1301, 2010, 85–96.
General Inhomogeneous Discrete Linear Partial Differential Equations with Constant Coefficients on the Whole Spaces (with S. Saitoh, Y. Sawano and L. P. Castro), Complex Analysis and Operator Theory 6, 2012, 307–324.
Integral equation methods in problems of wave diffraction by a strip with higher order reactance conditions (with L. P.Castro), American Institute of Physics, AIP - Conf. Proc., 1493, 2012, 904-910.
The impedance problem of wave diffraction by a strip with higher order boundary conditions (with L. P.Castro), Fifth Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, At Albena, Bulgaria, Vol: AIP Conference Proceedings 1561, 2013, 184-193.
A Wave Diffraction Problem with Higher Order Impedance Boundary Conditions, RECENT ADVANCES in MATHEMATICS, STATISTICS and ECONOMICS, Proceedings of the 2014 International Conference on Pure Mathematics - Applied Mathematics (PM-AM '14), 2014, 21-27.
Fredholm Characterization for a Wave Diffraction Problem with Higher Order Boundary Conditions, SMSW'14 Statistics and Mathematical Sciences Workshop, Book of Abstracts, ISBN: 978-989-654-142-2, 2014, Abstract: 23p.
Fredholm Characterization for a Wave Diffraction Problem with Higher Order Boundary Conditions: Impedance Case, WSEAS Transactions on Mathematics, vol 13, 2014, 535-546.
Equations and Integral Operators of Convolution Type on a Bounded Interval, Mathematical Methods in Science and Mechnnics, Proceedings of the 16th International Conference on Mathematical Methods, Computational Techniques and Intelligent Systems (MAMECTIS '14), 2014, 30-37.
Generalized Inverses of Convolution Type Operators on Bounded Intervals, WSEAS Transactions on Mathematics, vol 13, 2014, 962-972.
A transmission problem for the Helmholtz equation with higher order boundary conditions, Operators and Matrices, 9(1), 2015, 203-223.
Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations (with L. P. Castro), AIP Conf. Proc. 1798, 020036-1/020036-10; doi: 10.1063/1.4972628, 2017.
Hyers-Ulam and Hyers-Ulam-Rassias Stability of a Class of Integral Equations on Finite Intervals (with L. P. Castro), Proceedings of the 17th International Conference on Computacional and Mathematical Methods in Science and Engineering, vol. I-IV, 2017, 507-515.
A New Type of Stability: semi-Hyers-Ulam-Rassias Stability (with L. P. Castro), Book of Abstracts: IV Workshop on Computational Data Analysis and Numerical Methods, ISBN: 978-989-8008-28-2, 207, pg. 42.
Different Types of Hyers-Ulam-Rassias Stabilities for a Class of Integro-Differential Equations (with L. P. Castro), Filomat 31:17 (2017), 5379–5390.
Convertible Subspaces of Hessenberg-Type Matrices, (with Henrique F. da Cruz, Ilda Inácio Rodrigues, Rogério Serôdio and José Velhinho), Mathematics, 2017, 5, 79; doi:10.3390/math5040079.
Extension methods for convolution type operators, Journal of Interdisciplinary Mathematics, 21(3), 2018, 645-667.
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric (with L. P. Castro), Mathematical Methods in the Applied Sciences, https://doi.org/10.1002/mma.4857, 2018.
Higher Education Methodologies: From Urban Planning to Mathematical Issues (with A. Virtudes, I. Rodrigues, R. Serôdio), EDULEARN18 Proceedings, 5122-5128, doi: 10.21125/edulearn.2018.1250, 2018.
Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations: Theoretical Aspects (with L. P. Castro), Chapter in book: Mathematical Methods in Engineering, doi: 10.1007/978-3-319-91065-9_3, 2018.
Stabilities for a class of higher order integro-differential equations (with L. P. Castro), AIP Conference Proceedings 2046(1):020012, doi: 10.1063/1.5081532, 2018.
Talks
"Problema de difracção de ondas electromagnéticas por um semi-plano com condições de fronteira de ordem superior", apresentado em 21 de Maio de 2008, no Ciclo de Seminários do Departamento de Matemática da Universidade da Beira Interior.
"Fredholm property analysis for Convolution type Operators associated with a Wave Diffraction Problem", apresentado a 15 de Julho de 2009 no ciclo de Seminários do Departamento de Matemática da Universidade da Beira Interior.
"Fredholm Analysis for a Wave Diffraction Problem with Higher Order Boundary Conditions on a Union of Strips", First Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, Sozopol, Bulgaria, from 2009-06-22 to 2009-06-27.
"Diffraction Problems of Sommerfeld type with Higher Order Boundary Conditions", First Annual Workshop of Functional Analysis and Applications Group, CIDMA, University of Aveiro, in 2010-05-15.
"On the Solvability of a Problem of Wave Diffraction by a Union of a Strip and a Half-Plane", 2nd International Conference – Application of Mathematics in Tecnhical and Natural Sciences (AMiTaNS’10), Sozopol, Bulgaria, from 2010-06-21 to 2010-06-26.
"Source Inversion in the Helmholtz’s Equation from a Finite Number of Observation Data", Second Annual Workshop of Functional Analysis and Applications Group, University of Aveiro, in 2011-10-29.
"Integral Equation Methods in Problems of Reactance Wave Diffraction by a Strip", 6th Workshop on Statistics, Mathematics and Computation and 3rd Portuguese-Polish Workshop on Biometry, UBI, Covilhã, from 2012-07-03 to 2012-07-04.
"Integral Equation Methods in Problems of Wave Diffraction by a Strip with Higher Order Boundary Conditions", ICNPAA 2012 World Congress: 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (Section: "Integral Equations and Their Applications in Science and Technology"), Vienna University of Technology, Austria, from 2012-07-10 to 2012-07-14.
"Fredholm Property of Convolution type Operators Associated with a Wave Diffraction Problem", 3rd Annual Workshop of Functional Analysis and Applications Group, University of Aveiro, in 2012-10-27.
"Fredholm property analysis for Convolution type Operators associated with a Wave Diffraction Problem", 7th Workshop on Statistics, Mathematics and Computation, Polytechnic Institute of Tomar, from 2013-05-28 to 2013-05-29.
"Fredholm Analysis for an Impedance Boundary-Value Problem", Fourth Annual Workshop of Functional Analysis and Applications Group, University of Aveiro, in 2013-06-08.
"The impedance problem of wave diffraction by a strip with higher order boundary conditions", 5th International Conference – Application of Mathematics in Tecnhical and Natural Sciences (AMiTaNS’13), Albena, Bulgaria, from 2013-06-24 to 2013-06-29.
"A Wave Diffraction Problem with Higher Order Impedance Boundary Conditions", International Conference on Pure Mathematics - Applied Mathematics, Venice, Italy, March 15-17, 2014.
"A General Problem of Wave Diffraction by a Strip with Higher Order Boundary Conditions", 5th Annual Workshop of Functional Analysis and Applications Group, University of Aveiro, 24-05-2014.
"Fredholm Characterization for a Wave Diffracton Problem with Higher Order Boundary Conditions: Impedance Case", SMSW'14 Statistics and Mathematical Sciences Workshop, University of Beira Interior, July 7, 2014.
"Equations and Integral Operators of Convolution Type on a Bounded Interval", 16th International Conference on Mathematical Methods, Computational Techniques and Intelligent Systems (MAMECTIS '14), Lisbon, Portugal, October 30 - November 1, 2014.
"Generalized Inverses of Convolution Type Operators", 4º Ciclo de Conferencias da Faculdade de Ciências "Ciência: Fazer, Comunicar e Ensinar", Covilhã, January 17, 2015.
"Matrix Fourier symbols in problems of wave diffraction by a strip with higher order impedance conditions", MatTriad'2015, Department of Mathematics, University of Coimbra, September 7, 2015.
"Hyers-Ulam and Hyers-Ulam-Rassias Stability of a Class of Hammerstein Integral Equations", ICNPAA 2016, Mathematical Problems in Engineering, Aerospace and Sciences, LaRochelle, France, July 6, 2016.
"Stability of some Classes of Integral and Integro-Differential Equations" (Poster), V Ciclo de Conferências da Faculdade de Ciências, UBI, January 21, 2017.
"Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations", International Workshop "Mathematical Methods in Engineering", MME-2017, Cankaya University, Ankara, Turkey, April 27, 2017.
"Stability of Some Classes of Integral and Integro- Differential Equations", Seminar of the Funcional Analysis and Applications group of the Center for Research & Development in Mathematics and Applications, Universidade de Aveiro, Aveiro, 2, março, 2017.
"Hyers-Ulam and Hyers-Ulam-Rassias Stability of a Class of Integral Equations on Finite Intervals", International Conference on Computacional and Mathematical Methods in Science and Engineering, CMMSE 2017, Rota, Cádiz, Spain, July 7, 2017.
"A New Type of Stability: semi-Hyers-Ulam-Rassias Stability", IV Workshop on Computational Data Analysis and Numerical Methods, Instituto Politécnico de Beja, Portugal, October 27, 2017.
"Research Methodologies Focused on Urban Planning and Mathematical Issues", ICEUBI - International Congress on Engineering of the University of Beira Interior, Covilhã, Portugal, December 7, 2017.
"A special subspace of Hessenberg-Type matrices", V Workshop on Computational Data Analysis and Numerical Methods, ESTG-Escola Superior de Tecnologia e Gestão, Instituto Politécnico do Porto, Felgueiras, May 11, 2018.
"σ-semi-Hyers-Ulam stability for higher order integro-differential equations", V Workshop on Computational Data Analysis and Numerical Methods, ESTG-Escola Superior de Tecnologia e Gestão, Instituto Politécnico do Porto, Felgueiras, May 11, 2018.
"Stabilities for a Class of Higher Order Integro-Differential Equations", ICNPAA World Congress 2018, American University of Armenia (AUA), Yerevan, Armenia, 4 July, 2018.
"Hyers-Ulam stability of Bessel equations", 9th Annual Workshop of Functional Analysis and Applications Group, University of Aveiro, 24-10- 2018.
"Hyers-Ulam-Rassias stabilities for classes of integral equations with oscillatory kernels", 30th
International Workshop on Operator Theory and its Applications, IWOTA 2019, 22 a 26 de julho de 2019, Instituto Superior Técnico, Universidade de Lisboa, Portugal, 2019.
"Ulam Stabilities for a Class of Higher Order Integro-Differential Equations", 12th International ISAAC congress, 29 de julho a 2 de agosto de 2019, Universidade de Aveiro, Portugal, 2019.
"Different Types of Stabilities for a Class of Integro-Differential Equations”. Apresentado em 23 de Janeiro de 2019, na Unidade Curricular Seminário (MAT11688) do Departamento de Matemática da Universidade de Évora, Portugal, 2019.
"A new kind of stability for the Bessel equation: the σ-semi-Hyers-Ulam stability", VII Workshop on Computational Data Analysis and Numerical Methods
(VII WCDANM), Tomar, September 10-12, 2020.