International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts

The present volume on Mathematical Analysis and Applications in Science and Engineering - Book of Extended Abstracts of the ICMASC’2022 collects the extended abstracts of the talks presented at the International Conference on Mathematical Analysis and Applications in Science and Engineering – ICMA2SC'22 that took place at the beautiful city of Porto, Portugal, in June 27th-June 29th 2022 (3 days). Its aim was to bring together researchers in every discipline of applied mathematics, science, engineering, industry, and technology, to discuss the development of new mathematical models, theories, and applications that contribute to the advancement of scientific knowledge and practice. Authors proposed research in topics including partial and ordinary differential equations, integer and fractional order equations, linear algebra, numerical analysis, operations research, discrete mathematics, optimization, control, probability, computational mathematics, amongst others. The conference was designed to maximize the involvement of all participants and will present the state-of- the-art research and the latest achievements.info:eu-repo/semantics/publishedVersio

Generalized averaged Gaussian quadrature and applications

A simple numerical method for constructing the optimal generalized averaged Gaussian quadrature formulas will be presented. These formulas exist in many cases in which real positive GaussKronrod formulas do not exist, and can be used as an adequate alternative in order to estimate the error of a Gaussian rule. We also investigate the conditions under which the optimal averaged Gaussian quadrature formulas and their truncated variants are internal

MS FT-2-2 7 Orthogonal polynomials and quadrature: Theory, computation, and applications

Quadrature rules find many applications in science and engineering. Their analysis is a classical area of applied mathematics and continues to attract considerable attention. This seminar brings together speakers with expertise in a large variety of quadrature rules. It is the aim of the seminar to provide an overview of recent developments in the analysis of quadrature rules. The computation of error estimates and novel applications also are described

Immuno Inspired Approaches To Model Discrete Time Series At State Space

In this paper a new method for discrete time series state space modeling is proposed. The method is based on viewing the modeling problem as a constrained optimization problem. To solve the constrained optimization problem three imuno-inspired algorithms are proposed. An example is proposed to compare algorithms performance. Although the developed algorithms are dedicated to an specific problem, some ideas proposed in this paper can be used to solve any constrained optimization problem with immuno inspired algorithms. © 2011 IEEE.750756Faurre, P.L., Stochastic realization algorithms (1976) System Identification: Advances and Case Studies, 128, pp. 1-25Gevers, M.R., Kailath, T., An innovations approach to least squares estimation part vi - Discrete-time innovations representations and recursive estimation (1973) IEEE Transactions on Automatic Control, 18, pp. 588-600. , DecemberKailath, T., Geesey, R.A., An innovations approach to least squares estimation part iv - Recursive estimation given lumped covariance functions (1971) IEEE Transactions on Automatic Control, 16, pp. 720-727. , DecemberAnderson, B.D.O., Moore, J.B., Loo, S.G., Spectral factorization of time varying covariance functions (1969) IEEE Transactions on Information Theory, 15, pp. 550-557. , SeptemberKalman, R.E., A new approach to linear filtering and prediction problems (1960) Transactions of the ASME-Journal of Basic Engineering, (82), pp. 35-45Aoki, M., (1987) State Space Modeling of Time Series, , Springer-VerlagHo, B.L., Kalman, R.E., Effective construction of linear state-variable models from input-output functions (1966) Regelungstechnik - Zeitschrift für Steuern, Regeln und Automatisieren, 14 (12), pp. 545-548Tobar, J., Bottura, C.P., Giesbrecht, M., Computational modeling of multivariable non-stationary time series in the state space by the aoki var algorithm Proceedings of the 2010 World Congress on Engineering, 2010Barreto, G., (2002) Modelagem Computacional Distribuída e Paralela de Sistemas e de Séries Temporais Multivariáveis No Espaço de Estado, , PhD thesis, UnicampBarreto, G., Bottura, C.P., Revisitando os fundamentos de identificação multivariável no espaço de estados ii - Idéias básicas para o método de subespaços Proceedings of 2nd DINCON, August 2003Bottura, C.P., Barreto, G., Revisitando os fundamentos de identificação multivariável no espaço de estados i - Realização de estado e operador de hankel Proceedings of 2nd DINCON, August 2003Katayama, T., (2005) Subspace Methods for System Identification: A Realization Approach, , Leipzig: Springer VerlagGiesbrecht, M., Bottura, C.P., An immuno-inspired approach to find the steady state solution of riccati equations not solvable by schur method (2010) Proceedings of the 2010 IEEE World Congress on Computational Inteligence, pp. 1-8. , JulyDe Castro, L.N., Timmis, J., (2002) Artificial Immune Systems - A New Computational Intelligence Approach, , Springer VerlagDe Castro, L.N., Von Zuben, F.J., The clonal selection algorithm with engineering applications (2000) Workshop Proceedings of the GECCO 2000, pp. 36-37. , JulyDe Castro, L.N., Von Zuben, F.J., Learning and optimization using the clonal selection principle (2002) IEEE Transactions on Evolutionary Computation, 6, pp. 239-251. , JuneCutello, V., Nicosia, G., An immunological approach to combinatorial optimization problems (2002) Advances in Artifical Intelligence IBERAMIA, 2527, pp. 361-370Cutello, V., Narizi, G., Nicosia, G., Pavone, M., Real coded clonal selection algortithm for global numerical optimization using a new inversely proportional hypermutation operator (2006) 21st Annual ACM Symposium on Applied Computing, SAC 2006, pp. 950-954Cutello, V., Narzisi, G., Nicosia, G., Pavone, M., Clonal selection algorithms: A comparative case study usign effective mutation potentials (2005) 4th Intl. Conference on Artificial Immune Systems ICARIS 2005, pp. 13-28Giesbrecht, M., Bottura, C.P., Uma proposta imuno-inspirada para a solução algébrica da equação de riccati no problema de identificação de séries temporais no espaço de estado Anais Do XVIII Congresso Brasileiro de Automática, Setembro 201

An Immuno Inspired Approach To Generate White Noise

In this paper a new method to generate white noise is proposed. This method is based on viewing the white noise generation as an optimization problem and solving this problem with an immuno inspired algorithm. The white noise approximation obtained with the proposed method is nearer the ideal white noise than a series generated with a known pseudo random generator. The signal obtained with the new method was also applyed to discrete time series state space realization problem implying on results improvement. © 2011 IEEE.742749Faurre, P.L., Stochastic realization algorithms (1976) System Identification: Advances and Case Studies, 128, pp. 1-25Gevers, M.R., Kailath, T., An innovations approach to least squares estimation part vi - Discrete-time innovations representations and recursive estimation (1973) IEEE Transactions on Automatic Control, 18, pp. 588-600. , DecemberKailath, T., Geesey, R.A., An innovations approach to least squares estimation part iv - Recursive estimation given lumped covariance functions (1971) IEEE Transactions on Automatic Control, 16, pp. 720-727. , DecemberAnderson, B.D.O., Moore, J.B., Loo, S.G., Spectral factorization of time varying covariance functions (1969) IEEE Transactions on Information Theory, 15, pp. 550-557. , SeptemberKalman, R.E., A new approach to linear filtering and prediction problems (1960) Transactions of the ASME-Journal of Basic Engineering, (82), pp. 35-45Aoki, M., (1987) State Space Modeling of Time Series, , Springer-VerlagHo, B.L., Kalman, R.E., Effective construction of linear state-variable models from input-output functions (1966) Regelungstechnikzeitschrift für Steuern, Regeln und Automatisieren, 14 (12), pp. 545-548Tobar, J., Bottura, C.P., Giesbrecht, M., Computational modeling of multivariable non-stationary time series in the state space by the aoki var algorithm Proceedings of the 2010 World Congress on Engineering, 2010Barreto, G., (2002) Modelagem Computacional Distribuída e Paralela de Sistemas e de Séries Temporais Multivariáveis No Espaço de Estado, , PhD thesis, UnicampBarreto, G., Bottura, C.P., Revisitando os fundamentos de identificação multivariável no espaço de estados ii - Idéias básicas para o método de subespaços Proceedings of 2nd DINCON, August 2003Bottura, C.P., Barreto, G., Revisitando os fundamentos de identificação multivariável no espaço de estados i - Realização de estado e operador de hankel Proceedings of 2nd DINCON, August 2003Katayama, T., (2005) Subspace Methods for System Identification: A Realization Approach, , Leipzig: Springer VerlagGiesbrecht, M., Bottura, C.P., An immuno-inspired approach to find the steady state solution of riccati equations not solvable by schur method (2010) Proceedings of the 2010 IEEE World Congress on Computational Inteligence, pp. 1-8. , JulyDe Castro, L.N., Timmis, J., (2002) Artificial Immune Systems - A New Computational Intelligence Approach, , Springer VerlagDe Castro, L.N., Von Zuben, F.J., The clonal selection algorithm with engineering applications (2000) Workshop Proceedings of the GECCO 2000, pp. 36-37. , JulyDe Castro, L.N., Von Zuben, F.J., Learning and optimization using the clonal selection principle (2002) IEEE Transactions on Evolutionary Computation, 6, pp. 239-251. , JuneCutello, V., Nicosia, G., An immunological approach to combinatorial optimization problems (2002) Advances in Artifical Intelligence IBERAMIA, 252, pp. 361-370Cutello, V., Narizi, G., Nicosia, G., Pavone, M., Real coded clonal selection algortithm for global numerical optimization using a new inversely proportional hypermutation operator (2006) 21st Annual ACM Symposium on Applied Computing, SAC 2006, pp. 950-954Cutello, V., Narzisi, G., Nicosia, G., Pavone, M., Clonal selection algorithms: A comparative case study usign effective mutation potentials (2005) 4th Intl. Conference on Artificial Immune Systems ICARIS 2005, pp. 13-2