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Full Description
This volume collects chapters based on talks given at "The Second International Workshop on Mathematics and Physical Sciences," held in July 2024 at the University of Évora, Portugal, which is a conference of the 9th European Congress of Mathematics of the European Mathematical Society. Chapters bring together well-known experts in a variety of areas to discuss recent trends and challenges in mathematics, physics, and the social sciences, and to encourage new collaborations. A wide range of topics are covered, including:
Evolutionary dynamics of cellular automata
Fluid modeling of blood flow
Inverse conductivity problems
Passive remote sensing from space
Network theoretic modeling of soccer
Advances in Mathematical Modeling in Science, Engineering, and Social Sciences will be a valuable resource for researchers in mathematics and the physical sciences with a broad research interest.
Contents
Part I Pure Mathematics.- Chapter 1 Algebraic structure for recombining cellular automata.- Chapter 2 Extending Meadows to the Non-Comutative Case.- Chapter 3 Determinant-Permanent Relations in Singular Symmetric Matrices.- Chapter 4 A note on nonlocal supremal functionals.- Chapter 5 Ambrosetti-Prodi alternative for higher-order functional problems.- Chapter 6 Factorisation of the Classical Nonstandard Bounded Functional Interpretation.- Chapter 7 Elementary nonstandard axiomatic systems and standard real numbers.- Part II Differential Equations & Dynamical Systems.- Chapter 8 SBH-ellipticity of the relaxed interfacial energy density in the context of second-order structured deformations.- Chapter 9 First-Order Nonlinear Problems with Re ection and Piecewise Constant Dependence.- Chapter 10 Milnor Attractors on pattern iterations of flat-topped tent maps revisited.- Chapter 11 Vasicek and CIR stochastic differential equations models applied to mortality rates.- Part III Applied Mathematics & Mathematical Modeling.- Chapter 12 Mathematical modelling of global solar radiation using machine learning.- Chapter 13 Modelling and Characterization of Photovoltaic Thermal System an Overview.- Chapter 14 Investigation of Virus Transmission in Plants by Using Time Delay Tool, Curative and Preventive Treatment.- Chapter 15 Passive Seismic Tomography: Evaluating the Effect of Earthquake Clustering on Crustal Structure Accuracy.- Chapter 16 Simulation and Statistical Analysis of Streamer Discharges in Spherical Cavities under HVDC Conditions.- Chapter 17 Mathematical Modeling of Collective Behavior in Physical and Social Systems.- Chapter 18 Analysis and Mathematical Recomposition of The Art of the Fugue.- Part IV Machine Learning & Data Science Applications.- Chapter 19 A Normalized Deep Learning Framework for 2D Linear Elasticity with Graph Neural Networks.- Chapter 20 Portuguese Archives Handwritten Text Recognition of Passport Requisitions.- Part V Statistics & Estimation Theory.- Chapter 21 Delta method estimation for SDE mixed models: sensitivity to random parameter distribution.- Chapter 22 Modeling Air Quality During Portugal's Fire Season Using Extreme Value Theory.- Chapter 23 Novel and Robust Total Least Squares Estimation Method for Non Linear Models.- Chapter 24 Four Estimation Approaches for Structural Equation Modeling: an Empirical Appli-
cation in psychosocial risk.- Chapter 25 Statistical information theory and its importance for the development of statistical methods.- Part VI Optimization & Control in Stochastic Environments.- Chapter 26 Optimal harvesting in randomly varying environments: sensitivity of profit and effort to population and economic parameter.- Chapter 27 State Space Interpretation of Governance: A Control Theoretic Perspective.