ANA NAVARRO QUILES
PDI-Titular d'Universitat
PDI-Titular d'Universitat
Àrea de coneixement: ESTADÍSTICA I INVESTIGACIÓ OPERATIVA
Departament: Estadística i Investigació Operativa
Departament: Estadística i Investigació Operativa
Asignatures impartides i modalitats docents
| 35008 - Treball fi de grau en Matemàtiques - Grau en Matemàtiques | Treball fi d'estudis |
| 35059 - Estadística - Doble Grau en Dret i en Criminologia | Teòric-Pràctic |
| 36409 - Probabilitat i simulació - Grau en Ciència de Dades | Laboratori, Pràctiques, Teoria |
| 42233 - Treball fi de màster - Màster Universitari en Bioestadística | Treball fi d'estudis |
| 46574 - Aprenentatge màquina (I) - Màster Universitari en Ciència de Dades | Laboratori, Teoria |
Tutories
| Primer quadrimestre |
| Dimarts de 09:00 a 12:00. DESPATX 2-14 FAC. MATEMÀTIQUES |
| Segon quadrimestre |
| Dilluns de 09:00 a 12:00. DESPATX 2-14 FAC. MATEMÀTIQUES |
| Observacions |
| Participa en el programa de tutories electròniques de la Universitat de València |
Formació acadèmica
- Licenciada. Universidad de Alicante. 04/07/2013 (Diplomatura / Llicenciatura / Grau).
- Doctorado en Matemáticas. Universitat de València/Universitat Politècnica de València. 26/01/2018 (Doctorat ).
- Máster en Investigación Matemática. Universitat de València/Universitat Politècnica de València. 01/07/2014 (Màster Oficial).
Publicacions en revistes
- M.-C. Casabán; J.-C. Cortés; A. Navarro-Quiles; M.-D. Roselló (2015) Probabilistic solution of random Riccati-type differential equations appearing in epidemiological models. Applied Mathematical and Computational Sciences, 7, pp. 1 - 14 . ISSN: 0976-1586
- M.-C. Casabán; J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló; R.-J. Villanueva (2016) Probabilistic solution of the homogeneous Riccati differential equation: A case-study by using linearization and transformation techniques. Journal of Computational and Applied Mathematics, 291, pp. 20 - 35 . ISSN: 0377-0427
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2016) Probabilistic solution of random autonomous first-order linear systems of ordinary differential equations. Romanian Reports In Physics, 68(4), pp. 1397 - 1406 . ISSN: 1221-1451
- A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló; M.A. Sohaly (2016) Approximating the solution stochastic process of the random Cauchy one-heat model. Abstract And Applied Analysis, 2016, pp. 1 - 7 . ISSN: 1085-3375
- M.-C. Casabán; J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló; R.-J. Villanueva (2016) A comprehensive probabilistic solution of random SIS-type epidemiological models using the Random Variable Transformation technique. Communications In Nonlinear Science And Numerical Simulation, 32, pp. 199 - 210 . ISSN: 1007-5704
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2017) Randomizing the parameters of a Markov chain to model the stroke disease: A technical generalization of established computational methodologies towards improving real applications. Journal of Computational and Applied Mathematics, 324, pp. 225 - 240 . ISSN: 0377-0427
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2017) Full solution of random autonomous first-order linear systems of difference equations. Application to construct random phase portrait for planar systems. Applied Mathematics Letters, 68, pp. 150 - 156 . ISSN: 0893-9659
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2017) Computing the two first probability density functions of the random Cauchy-Euler differential equation: Study about regular-singular point. Applied Mathematics and Nonlinear Sciences, 2, pp. 213 - 224 . ISSN: 2444-8656
- M.-C. Casabán; J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló; R.-J. Villanueva (2017) Computing probabilistic solutions of the Bernoulli random differential equation. Journal of Computational and Applied Mathematics, 309, pp. 396 - 407 . ISSN: 0377-0427
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló; M.A. Sohaly (2018) Solving the random Cauchy one-dimensional advection-diffusion equation: Numerical analysis and computing. Journal of Computational and Applied Mathematics, 330, pp. 920 - 936 . ISSN: 0377-0427
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2018) Computing the probability density function of non-autonomous first-order linear homogeneous differential equations with uncertainty. Journal of Computational and Applied Mathematics, 337, pp. 190 - 208 . ISSN: 0377-0427
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2018) Solving second-order linear differential equations with random analytic coefficients about regular points: A full probabilistic solution by the first probability density function. Applied Mathematics and Computation, 331, pp. 33 - 45 . ISSN: 0096-3003
- C. Burgos; J. Calatayud; J.-C. Cortés; A. Navarro-Quiles (2018) A full probabilistic solution of the random linear fractional differential equation via the Random Variable Transformation technique. Mathematical Methods in the Applied Sciences, 41, pp. 9037 - 9047 . ISSN: 0170-4214
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2019) Analysis of random non-autonomous logistic-type differential equations via the Karhunen-Loève expansion and the Random Variable Transformation technique. Communications In Nonlinear Science And Numerical Simulation, 72, pp. 121 - 138 . ISSN: 1007-5704
- Tomás Caraballo; J.-C. Cortés; A. Navarro-Quiles (2019) Applying the random variable transformation method to solve a class of random linear differential equation with discrete delay. Applied Mathematics and Computation, 356, pp. 198 - 218 . ISSN: 0096-3003
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2019) Solving the Random Pielou Logistic Equation with the Random Variable Transformation Technique: Theory and Applications. Mathematical Methods in the Applied Sciences, 42, pp. 5708 - 5717 . ISSN: 0170-4214
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2019) A probabilistic analysis of a Beverton-Holt type discrete model: Theoretical and computing analysis. Computational and Mathematical Methods, 1:e1013, pp. 1 - 12 . ISSN: 2577-7408
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2020) Solving Second-Order Linear Differential Equations with Random Analytic Coefficients abour Regular-Singular Points. Mathematics, 8(2), pp. 1 - 19 . ISSN: 2227-7390
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2020) Some results about randomized binary Markov chains: theory, computing and applications. International Journal of Computer Mathematics, 97, pp. 141 - 156 . ISSN: 0020-7160
- I. Barrachina-Martínez; A. Navarro-Quiles; M. Ramos; J.-V. Romero; M.-D. Roselló; David Vivas-Consuelo (2020) Probabilistic study of the effect of anti-epileptic drugs under uncertainty: cost-effectiveness analysis. Mathematics, 8(7), pp. 1 - 19 . ISSN: 2227-7390
- J.-C. Cortés; S.K. El-Labany; A. Navarro-Quiles; Mustafa M. Selim; H. Slama (2020) A comprehensive probabilistic analysis of approximate SIR-type epidemiological models via full randomized Discrete-Time Markov Chain formulation with applications. Mathematical Methods in the Applied Sciences, 43, pp. 8204 - 8222 . ISSN: 0170-4214
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló; Enrique Zuazua (2020) Full probabilistic solution of a finite dimensional lineal control system with random initial and final conditions. Journal of the Franklin Institute-Engineering and Applied Mathematics, 357(12), pp. 8156 - 8180 . ISSN: 0016-0032
- V. Bevia; C. Burgos; J.-C. Cortés; A. Navarro-Quiles; R.-J. Villanueva (2020) Uncertainty quantification analysis of the biological Gompertz model subject to random fluctuations in all its parameters. Chaos Solitons & Fractals, 138, pp. 1 - 12 . ISSN: 0960-0779
- Juan-Carlos Cortés; Ana Navarro-Quiles; José-Vicente Romero; María-Dolores Roselló (2021) Solving fully randomized higher-order linear control differential equations: Application to study the dynamics of an oscillator. Computational and Mathematical Methods, 3(6), pp. 1 - 15 . ISSN: 2577-7408
- Juan-Carlos Cortés; Ana Navarro-Quiles; José-Vicente Romero; María-Dolores Roselló (2021) Introducing randomness in the analysis of chemical reactions: An analysis based on random differential equations and probability density functions. Computational and Mathematical Methods, 3(6), pp. 1 - 10 . ISSN: 2577-7408
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2021) A full probabilistic analysis of a randomized kinetic model for reaction-deactivation of hydrogen peroxide decomposition with applications to real data. Journal of Mathematical Chemistry, 59, pp. 1479 - 1497 . ISSN: 0259-9791
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2022) Solving fully randomized first-order linear control systems: Application to study the dynamics of a damped oscillator with parametric noise under stochastic control. Journal of Computational and Applied Mathematics, 404 . ISSN: 0377-0427
- A. Navarro-Quiles (2022) Probabilistic solution of a homogeneous linear second-order differential equation with randomized complex coefficients. Probabilistic Engineering Mechanics, 68 . ISSN: 0266-8920
- J.-C. Cortés; A. Navarro-Quiles; J.-V. Romero; M.-D. Roselló (2022) First-order linear differential equations whose data are complex random variables: Probabilistic solution and stability analysis via densities. Aims Mathematics, 7(1), pp. 1486 - 1506 . ISSN: 2473-6988
- A. Navarro-Quiles; Rossella Laudani; Giovanni Falsone (2022) Effect of uncertain damping coefficient on the response of a SDOF system. Probabilistic Engineering Mechanics, 68 . ISSN: 0266-8920
Altres Publicacions
- J. Calatayud, J.-C. Cortés, M. Jornet, A. Navarro-Quiles (2019). Solving Random Ordinary and Partial Differential Equations through the Probability Density Function. Theory and Computing with Applications Modern Mathematics and Mechanics. Fundamentals, Problems and Challenges. Series: Understanding Complex systems . (pp. 261 - 282) .
- J.-C. Cortés, V. Bevia. C. Burgos, A. Navarro-Quiles, R.-J. Villanueva (2020). Analysing Differential Equations with Uncertainties via the Liouville-Gibbs Theorem: Theory and Applications Computational Mathematics and Applications . (pp. 1 - 23) .
- David Martínez-Rodríguez, Ana Navarro-Quiles, Raul San-Julián-Garcés, Rafael-J. Villanueva (2021). A Computational Procedure to Capture the Data Uncertainty in a Model Calibration: The Case of the Estimation of the Effectiveness of the Influenza Vaccine Lecture Notes in Mechanical Engineering - Proceedings of the 5th International Symposium on uncertainty quantification and Stochastic modelling. . (pp. 374 - 382) .
- Vicent Bevia, Juan-Carlos Cortés, Ana Navarro-Quiles, Jose-Vicente Romero (2021). Statistical Analysis of Biological Models with Uncertainty Lecture Notes in Mechanical Engineering - Proceedings of the 5th International Symposium on uncertainty quantification and Stochastic modelling. . (pp. 323 - 336) .
Estades a Centres de Recerca
- REGNE UNIT, 2016. Aplicación de las series de Karhunen-Loève para la resolución de ecuaciones diferenciales aleatorias. Doctorand.
- ESPANYA, 2017. Ecuaciones diferenciales aleatorias con delay. Doctorand.
- Messina. ITÀLIA, 2021. Ecuaciones diferenciales aleatorias con aplicaciones a la ingeniería. Altres (especificar).
Participacions a Congressos
- A. Navarro-Quiles (2014). Series de Eisenstein y la función discriminante. (Ponència). I Congreso Conjunto del Master y del Doctorado en Investigación Matemática . ESPANYA
- M.-C. Casabán, J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero, R.-J. Villanueva. (2014). Probabilistic solution of Ricatti homogeneous problems. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2014 Conference 'The use of Random Variable Transformations for solving nonlinear random differential equations'. En: Modelling for engineering and human behavior 2014. pp. 43 - 49. 2014. ISBN 978-84-606-5746-0 . Valencia . ESPANYA
- M.-C. Casabán, J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero, R.-J. Villanueva. (2015). Bernoulli differential equation: Probabilistic analysis and computing. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2015 Conference 'Modeling a fishery problem using random differential equations: The randomized Bertalanffy model'. En: Modelling for engineering and human behaviour 2015. pp. 248 - 254. (España): 2015. ISBN 978-84-608-5355-8 . Valencia . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2016). Modelling stroke disease combining Markov processes and the random variable transformation method. (Comunicació). IWBBIO 2016 (4th International Work-Conference on Bioinformatics and Biomedial Engineering) 'Modelling stroke disease combining Markov processes and the random variable transformation method'. En: Proceedings of Extended Abstracts. pp. 176 - 180. (España): 2016. ISBN 978-84-16478-75-0 . Granada . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2016). Markov process and random variable transformation technique to model a stroke disease. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2016 Conference 'Markov process and random variable transformation technique to model a stroke disease.'. En: Modelling for engineering and human behaviour 2016. pp. 186 - 190. (España): 2016. ISBN 978-84-617-7205-6 . Valencia . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2016). Approximating the first probability distribution function of the solution stochastic process to second-order random linear time-dependent differential equations with regular points. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2016 Conference 'Approximating the first probability distribution function of the solution stochastic process to second-order random linear time-dependent differential equations with regular points'. En: Modelling for engineering and human behavior 2016. pp. 73 - 77. (España): 2016. ISBN 978-84-617-7205-6 . Valencia . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2017). A full probabilistic study of the Cauchy-Euler random differential equation. (Ponència). XXV Congress on Differential Equations and Applications / XV Congress on Applied Mathematics Libro de comunicaciones Definitivas presentadas en CEDYA+CMA 2017. pp. 537 - 542. (España): 2017. ISBN 978-84-944402-1-2 . Cartagena . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2017). A full probabilistic study of the Cauchy-Euler random differential equation. (Comunicació). 17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017) 'Some results about randomized binary Markov chains: Theory and computing'. En: Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017). pp. 665 - 673. (España): 2017. ISSN 2312-0177, ISBN 978-84-617-8694-7 . Rota . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2017). Computing the first probability density function of non-autonomous linear random differential equations by Karhunen-Loêve expansion. (Comunicació). 17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017) 'Computing the first probability density function of non-autonomous linear random differential equations by Karhunen-Loêve expansion'. En: Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017). pp. 674 - 683. (España): 2017. ISSN 2312-0177, ISBN 978-84-617-8694-7 . Rota . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2017). The randomized Non-Autonomous Scaled logistic differential Equation: Theory and Applications. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2017 Conference 'The Randomized Non-Autonomous Scaled Logistic Differential Equation: Theory and Applications'. En: Modelling for engineering and human behaviour 2017. pp. 229 - 233. (España): ISBN 978-84-697-8505-8 . Valencia . ESPANYA
- A. Navarro-Quiles (2018). Random Variable Transformation technique to solve differential equations with uncertainty. (Ponència). First Bymat conference: bringing Young mathematicians together . Madrid . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2018). Solving the random Pielou logistic equation with the random variable transformation technique. (Comunicació). 18th International Conference on Computational and Mathematical Methods in Science and Engineering CMMSE 2018 . Rota . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, M.-D. Roselló, J.-V. Romero (2018). The random variable transformation method to solve random non-autonomous second-order linear differential equations about singular-regular points. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2018 Conference 'The RVT method to solve random non-autonomous second-order linear differential equations about singular-regular points'. En: Modelling for engineering and human behaviour 2018. pp. 243 - 248. (España): 2018. ISBN 978-84-09-07541-6 . Valencia . ESPANYA
- Barrachina-Martínez I, A. Navarro-Quiles, Ramos, M. (2018). Probabilistic solution of a random model to study the effectiveness of anti-epileptic drugs. (Comunicació). Mathematical Modelling in Engineering and Human Behaviour 2018 Conference 'Probabilistic solution of a random model to study the effectiveness of antiepileptic drugs'. En: Modelling for engineering and human behaviour 2018. pp. 268 - 273. (España): 2018. ISBN 978-84-09-07541-6 . Valencia . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló (2018). Numerical solution to the random heat equation with zero Cauchy-type boundary conditions. (Comunicació). Mathematical Modelling in Engineering and Human Behaviour 2018 Conference 'Numerical solution to the random heat equation with zero Cauchy-type boundary conditions'. En: Modelling for engineering and human behaviour 2018. pp. 280 - 285. (España): 2018. ISBN 978-84-09-07541-6 . Valencia . ESPANYA
- Tomás Caraballo, J.-C. Cortés, A. Navarro-Quiles (2019). Probabilistic solution of a randomized first order differential equation with discrete delay. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2019 Conference 'Probabilistic solution of a randomized first order differential equation with discrete delay'. En: Modelling for engineering and human behaviour 2019. pp. 151 - 154. (España): 18/11/2019. ISBN 978-84-09-16428-8 . Valencia . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló (2019). Analysis of finite dimensional linear control systems subject to uncertainties via probabilistic densities. (Comunicació). Mathematical Modelling in Engineering and Human Behaviour 2019 Conference 'Analysis of finite dimensional linear control systems subject to uncertainties via probabilistic densities'. En: Modelling for engineering and human behavior 2019. pp. 176 - 179. (España): 19/11/2019. ISBN 978-84-09-16428-8 . Valencia . ESPANYA
- J.-C. Cortés, A. Navarro-Quiles, J.-V. Romero, M.-D. Roselló (2020). Statistical solution of a second-order chemical reaction. (Ponència). Mathematical Modelling in Engineering and Human Behaviour 2020 Conference 'Statistical solution of a second-order chemical reaction'. En: Modelling for engineering and human behavior 2020. pp. 115 - 120. (España): 10/11/2020. ISBN 978-84-09-25132-2 . Valencia . ESPANYA
- A. Navarro-Quiles (2020). Statistical analysis of biological models with uncertainty. (Ponència). Uncertainties 2020 - Uncertainty Quantification and Stochastic Modeling . Rouen . FRANÇA
- A. Navarro-Quiles (2020). Probabilistic analysis of chemical reactions with uncertainty in its formulation. (Ponència). International Conference on Applied Nonlinear Analysis & Soft Computing (ANASC - 2020) . ÍNDIA
- A. Navarro-Quiles (2021). Probabilistic solution of a finite dimensional linear control system with uncertainty. (Ponència). ICMC Summer meeting on differential equations - 2021 Chapter (Special session on Stochastic Dynamics) . BRASIL
- A. Navarro-Quiles (2021). Probabilistic analysis of a general kinetic equation with randomness in its formulation via the computation of the first probability density function. (Ponència). Join Conferences HPC 2021 and CMMSE 2021 . ESPANYA
- A. Navarro Quiles (2022). El método de Transformación de Variables Aleatorias para resolver ecuaciones diferenciales con incertidumbre. (Ponència). XXIX Congreso Nacional de Estadística e Investigación Operativa y de las XIII Jornadas de Estadística Pública (SEIO 2022) . ESPANYA
- A. Navarro Quiles (2022). Analysis of the effect of the randomized damping coefficient on the response of a SDOF system. (Ponència). International Conference on Mathematical Analysis and Applications in Science and Engineering-ICMAS2SC'22 . PORTUGAL
Projectes
- MACOOM - Mejora y ampliación del Curso Online de Olimpiadas Matemáticas (). 2018. Vicerrectorado de Profesorado de la Universidad de la Rioja. . IP: Juan Miguel Ribera Puchades.
- EVACOOM - Evaluación y puesta en marcha del Curso Online de Olimpiadas Matemáticas (). 2019. Vicerrectorado de Profesorado de la Universidad de la Rioja. . IP: Juan Miguel Ribera Puchades.
- Métodos Computacionales para Ecuaciones Diferenciales Aleatorias: Teoría y Aplicaciones. (MTM2013-41765-P) (). 2015 - 2018. Ministerio de Ciencia e Innovación. Subdirección General de Proyectos de Investigación. . IP: Lucas Jódar Sánchez y Juan Carlos Cortés López.
- Dynamic Control and Numerics of Partial Differential Equations. (DYCON-694126) (). 2018 - 2019. European Research Council. . IP: Enrique Zuazua.
- New tools for the design and control of hybrid AC/DC distribution networks. (ROAD2DC) (). 2018 - 2019. Govierno Vasco. . IP: Jon Andoni Barrena.
- Problemas dinámicos con incertidumbre simulable: Modelización matemática, análisis, computación y aplicaciones. (MTM2017-89664-P-AR) (). 2019. Agencia Estatal de Investigación. . IP: Juan Carlos Cortés López y Rafael Company Rossi..
- Problemas dinámicos con incertidumbre simulable: Modelización matemática, análisis, computación y aplicaciones (MTM2017-89664-P-AR) (). 2019 - 2021. Ministerio de Ciencia e Innovación. Subdirección General de Proyectos de Investigación. . IP: Juan Carlos Cortés López y Rafael Company Rossi.
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