Gandia International Centre Universitat de València (8, Tossal Street)
Coordinated by: Ana Navarro Quiles. Department of Statistics and Operative Research. Universitat de València.
This course is an introduction to the study of some analytical and computational techniques used in the resolution of differential equations with uncertainty. These techniques will be illustrated with numerous examples and will be implemented with software suitable to study the different models that appear in real problems. In order to do so, we have modelling experts that will show us models based on differential equations for the spreading of infectious diseases, such as COVID-19 and Meningococcus C, of new technologies in our society, such as Instagram, and of the study of the tumour volume growth dynamic, all of them problems of great interest and social impact.
Monday, 14 July
09:30-10:30 An introduction to Classical Differential Equations. Juan Carlos Cortés López.
10:30-11:30 Foundations of Probability. Ana Navarro Quiles. Department of Statistics and Operative Research. Universitat de València.
12:00-14:00 Differential Equations with Uncertainty. Elena López Navarro. MUNQU Research Group (Modelling Uncertainty Quantification) University Institute of Multidisciplinary Mathematics. Universitat Politècnica de València.
16:00-18:00 Analytical methods for the resolution of Differential Equations with Uncertainty. Ana Navarro Quiles. Department of Statistics and Operative Research. Universitat de València.
18:30-19:30 Applications in Real Life Models. Mathematical modelling of the transmission dynamics of infectious diseases. Rafael Jacinto Villanueva Micó. MUNQU Research Group (Modelling Uncertainty Quantification) University Institute of Multidisciplinary Mathematics. Universitat Politècnica de València.
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Tuesday, 15 July
09:30-11:30 Numerical simulation and Computational methods for the resolution of Differential Equations with Uncertainty. Clara Burgos Simón. MUNQU Research Group (Modelling Uncertainty Quantification) University Institute of Multidisciplinary Mathematics. Universitat Politècnica de València.
12:00-13:00 Applications in Real Life Models. Random models for the transmission of new technologies in our society. Juan Carlos Cortés López. MUNQU Research Group (Modelling Uncertainty Quantification) University Institute of Multidisciplinary Mathematics. Universitat Politècnica de València.
13:00-14:00 Applications in Real Life Models. Study of the growth dynamic of the tumour volume through a model with random differential equations with jumps. Clara Burgos Simón. MUNQU Research Group (Modelling Uncertainty Quantification) University Institute of Multidisciplinary Mathematics. Universitat Politècnica de València.
16:00-19:00 Presentation of papers by the students. Juan Carlos Cortés López, Elena López Navarro and Rafael Jacinto Villanueva Micó. MUNQU Research Group (Modelling Uncertainty Quantification) University Institute of Multidisciplinary Mathematics. Universitat Politècnica de València.
