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Prof. Dr. Mónica Cortés-Molina
University of Alicante (Spain)

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0 Computational
0 Numerical Modeling
0 Numerical Calculation
0 mathemathical modelling
0 Statistical Application

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Journal article
Published: 19 July 2021 in Sustainability
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This paper presents a study of the characteristics of rainfall in a typical Mediterranean climate, characterized by infrequent and irregular rain in the territorial area and its intensity. One of the main components of this type of climate is short-duration and high-intensity rain events that cause a large amount of damage to property and human lives, seriously affecting the operation of infrastructure and the activity of society in general. The objective of this study was to design a methodology based on peak over threshold (POT) analysis. This methodology allows us to establish reference precipitation values and more approximate return periods in the absence of sufficiently extensive historical precipitation series. In addition, the frequency of these extreme events or return periods is established. The characteristics of the precipitation regime make direct analysis difficult. Thus, the functions of the probability distributions underlying the described phenomena are improved.

ACS Style

Ramón Egea Pérez; Mónica Cortés-Molina; Francisco Navarro-González. Analysis of Rainfall Time Series with Application to Calculation of Return Periods. Sustainability 2021, 13, 8051 .

AMA Style

Ramón Egea Pérez, Mónica Cortés-Molina, Francisco Navarro-González. Analysis of Rainfall Time Series with Application to Calculation of Return Periods. Sustainability. 2021; 13 (14):8051.

Chicago/Turabian Style

Ramón Egea Pérez; Mónica Cortés-Molina; Francisco Navarro-González. 2021. "Analysis of Rainfall Time Series with Application to Calculation of Return Periods." Sustainability 13, no. 14: 8051.

Journal article
Published: 17 November 2020 in Process Safety and Environmental Protection
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Solar energy is one of the most promising green energy sources. On-grid photovoltaic installations supply energy to consumers as a support energy source, but in isolated areas, it comes as the unique source. The decision-maker must dimension the installation, maintaining system performance with reasonable investments. In some scenarios, the utility manager can handle the energy delivered to consumers as every subsystem can be independently connected. A strategy for scheduling the energy consumption to decrease the number of photovoltaic modules required in a standalone system is proposed here. The problem formulation corresponds to generalising a more specific problem before published. We presented a real case study being the groups of hydrants that provide water to crops in a pressurized irrigation system for energy consumption to schedule.

ACS Style

Francisco J. Navarro-Gonzalez; Yolanda Villacampa; Miguel Ángel Pardo Picazo; M. Cortés-Molina. Optimal load scheduling for off-grid photovoltaic installations with fixed energy requirements and intrinsic constraints. Process Safety and Environmental Protection 2020, 149, 476 -484.

AMA Style

Francisco J. Navarro-Gonzalez, Yolanda Villacampa, Miguel Ángel Pardo Picazo, M. Cortés-Molina. Optimal load scheduling for off-grid photovoltaic installations with fixed energy requirements and intrinsic constraints. Process Safety and Environmental Protection. 2020; 149 ():476-484.

Chicago/Turabian Style

Francisco J. Navarro-Gonzalez; Yolanda Villacampa; Miguel Ángel Pardo Picazo; M. Cortés-Molina. 2020. "Optimal load scheduling for off-grid photovoltaic installations with fixed energy requirements and intrinsic constraints." Process Safety and Environmental Protection 149, no. : 476-484.

Journal article
Published: 14 November 2020 in Mathematics
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A new method of numerical integration for a perturbed and damped systems of linear second-order differential equations is presented. This new method, under certain conditions, integrates, without truncation error, the IVPs (initial value problems) of the type: x′′(t)+Ax′(t)+Cx(t)=εF(x(t),t), x(0)=x0, x′(0)=x0′, t∈[a,b]=I, which appear in structural dynamics, astrodynamics, and other fields of physics and engineering. In this article, a succession of real functions is constructed with values in the algebra of m×m matrices. Their properties are studied and we express the solution of the proposed IVP through a serial expansion of the same, whose coefficients are calculated by means of recurrences involving the perturbation function. This expression of the solution is used for the construction of the new numerical method. Three problems are solved by means of the new series method; we contrast the results obtained with the exact solution of the problem and with its first integral. In the first problem, a quasi-periodic orbit is integrated; in the second, a problem of structural dynamics associated with an earthquake is studied; in the third, an equatorial satellite problem when the perturbation comes from zonal harmonics J2 is solved. The good behavior of the series method is shown by comparing the results obtained against other integrators.

ACS Style

Fernando García-Alonso; José Antonio Reyes; Mónica Cortés-Molina. An Algorithm for the Numerical Integration of Perturbed and Damped Second-Order ODE Systems. Mathematics 2020, 8, 2028 .

AMA Style

Fernando García-Alonso, José Antonio Reyes, Mónica Cortés-Molina. An Algorithm for the Numerical Integration of Perturbed and Damped Second-Order ODE Systems. Mathematics. 2020; 8 (11):2028.

Chicago/Turabian Style

Fernando García-Alonso; José Antonio Reyes; Mónica Cortés-Molina. 2020. "An Algorithm for the Numerical Integration of Perturbed and Damped Second-Order ODE Systems." Mathematics 8, no. 11: 2028.

Journal article
Published: 17 September 2020 in Mathematics
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Estimation problems are frequent in several fields such as engineering, economics, and physics, etc. Linear and non-linear regression are powerful techniques based on optimizing an error defined over a dataset. Although they have a strong theoretical background, the need of supposing an analytical expression sometimes makes them impractical. Consequently, a group of other approaches and methodologies are available, from neural networks to random forest, etc. This work presents a new methodology to increase the number of available numerical techniques and corresponds to a natural evolution of the previous algorithms for regression based on finite elements developed by the authors improving the computational behavior and allowing the study of problems with a greater number of points. It possesses an interesting characteristic: Its direct and clear geometrical meaning. The modelling problem is presented from the point of view of the statistical analysis of the data noise considered as a random field. The goodness of fit of the generated models has been tested and compared with some other methodologies validating the results with some experimental campaigns obtained from bibliography in the engineering field, showing good approximation. In addition, a small variation on the data estimation algorithm allows studying overfitting in a model, that it is a problematic fact when numerical methods are used to model experimental values.

ACS Style

Francisco José Navarro-González; Yolanda Villacampa; Mónica Cortés-Molina; Salvador Ivorra. Numerical Non-Linear Modelling Algorithm Using Radial Kernels on Local Mesh Support. Mathematics 2020, 8, 1600 .

AMA Style

Francisco José Navarro-González, Yolanda Villacampa, Mónica Cortés-Molina, Salvador Ivorra. Numerical Non-Linear Modelling Algorithm Using Radial Kernels on Local Mesh Support. Mathematics. 2020; 8 (9):1600.

Chicago/Turabian Style

Francisco José Navarro-González; Yolanda Villacampa; Mónica Cortés-Molina; Salvador Ivorra. 2020. "Numerical Non-Linear Modelling Algorithm Using Radial Kernels on Local Mesh Support." Mathematics 8, no. 9: 1600.