Mathematical Modeling in Social Sciences and Engineering

Juan Carlos Cortés López, Lucas Antonio Jódar Sánchez and Rafael Jacinto Villanueva Micó (Editors)
Instituto Universitario de Matemática Multidisciplinar/Multidisciplinary Mathematical University Institute, Universitat Politècnica de València, Technical University of Valencia, Valencia, Spain

Series: Mathematics Research Developments
BISAC: MAT029000

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Volume 10

Issue 1

Volume 2

Volume 3

Special issue: Resilience in breaking the cycle of children’s environmental health disparities
Edited by I Leslie Rubin, Robert J Geller, Abby Mutic, Benjamin A Gitterman, Nathan Mutic, Wayne Garfinkel, Claire D Coles, Kurt Martinuzzi, and Joav Merrick

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This book is devoted to the power of mathematical modeling to give an answer to a broad diversity of real problems including medicine, finance, social behavioral problems and many engineering problems. Mathematical modeling in social sciences is very recent and comes with special challenges such as the difficulty to manage human behavior, the role of the model hypothesis with the objectivity/subjectivity and the proper understanding of the conclusions. In this book, the reader will find several behavioral mathematical models that in fact may be understood as the so-called epidemiological models in the sense that they deal with populations instead of individuals. (Imprint: Nova)

Preface

Chapter 1 - Second-order Perturbations in Encke's Method for Spacecraft Flybys (pp. 1-10)
L. Acedo (Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain)

Chapter 2 - Common-Rail Diesel Injectors Bond Graph Modelling through the AMESim Platform (pp. 11-26)
F. J. Salvador, M. Carreres, J. V. Romero and M. D. Roselló (CMT-Motores Térmicos, Universitat Politècnica de València, Spain and others)

Chapter 3 - Mathematical Modelling of Filtration and Catalytic Oxidation of Diesel Particulates in Filter Porous Media (pp. 27-40)
N. V. Vernikovskaya, T. L. Pavlova, N. A. Chumakova and A. S. Noskov (Boreskov Institute of Catalysis SB RAS and others)

Chapter 4 - Water Demand Simplifications Used to Build Mathematical Models for Hydraulic Simulations (pp. 41-50)
J. Izquierdo, E. Campbell, I. Montalvo, R. Pérez-García and D. Ayala-Cabrera (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 5 - Dynamic Prediction of Failures. A Comparison of Methodologies for a Wind Turbine (pp. 51-58)
S. Carlos, A. Sanchez, I. Marton and S. Martorell (Departament d’Enginyeria Químicai Nuclear, and Departament d’Estadísticai Investigació Operativa Aplicades I Qualitat, Universitat Politècnica de València, Valencia, Spain)

Chapter 6 - Advances in Mathematical Modeling of Supercritical Extraction Processes (pp. 59-70)
Florian Meyer, Marko Stamenic, Irena Zizovic and Rudolf Eggers (Institute of Thermal Separation Processes, Heat and Mass Transfer, Hamburg University of Technology, Hamburg, Germany and others)

Chapter 7 - Pipe Database Analysis Transduction to Assess the Spatial Vulnerability to Biofilm Development in Drinking Water Distribution Systems (pp. 71-80)
E. Ramos-Martínez, J. A. Gutíerrez-Pérez, M. Herrera, J. Izquierdo and R. Pérez-García (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 8 - On Kernel Spectral Clustering for Identifying Areas of Biofilm Development in Water Distribution Systems (pp. 81-90)
M. Herrera, E. Ramos-Martínez, J. A. Gutíerrez-Pérez, J. Izquierdo and R. Pérez-García (Brussels School of Engineering, BATir, Universite libre de Bruxelles, Belgium and others)

Chapter 9 - Unsupervised Methodology for Sectorization of Trunk Depending Water Supply Networks (pp. 91-100)
E. Campbell, R. Pérez-García, J. Izquierdo and D. Ayala-Cabrera (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 10 - Quantifying the Behavior of the Actors in the Spread of Android Malware Infection (pp. 101-112)
J. Alegre, J. C. Cortés, F. J. Santonja and R. J. Villanueva (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 11 - A Stochastic Agent-Based Approach to Interregional Migration in Quantitative Sociodynamics (pp. 113-120)
Minoru Tabata, Nobuoki Eshima, Keiko Kanenoo and Ichiro Takagi (Department of Mathematical Sciences, Osaka Prefecture University, Sakai, Osaka, Japan and others)

Chapter 12 - A Bayesian Mathematical Model to Analyse Religious Behavior in Spain (pp. 120-134)
R. Cervelló-Royo, A. Sánchez-Sánchez, F. Guerrero, F. J. Santonja and R. J. Villanueva (Departamento de Economýa y Ciencias Sociales, Universitat Politecnica de Valencia, Spain and others)

Chapter 13 - Model of Problems Cleaning in Education (pp. 135-148)
Jan M. Myszewski, Malgorzata Gromek and Joanna Oczkowicz (Department of Quality Management, Kozminski University, Warsaw, Poland)

Chapter 14 - Does VAT Growth Impact Compulsive Shopping in Spain? (pp. 149-158)
E. de la Poza, I. García, L. Jódar and P. Merello (Departamento de Economía y Ciencias Sociales, Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Spain and others)

Chapter 15 - Is Fitness Activity an Emergent Business? Economic Influences and Consequences of Male Fitness Practice (pp. 159-168)
M. S. S. Alkasadi, E. De la Poza and L. Jódar (Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain and others)

Chapter 16 - Popular Support to Terrorist Organizations: A Short-Term Prediction Based on a Dynamic Model Applied to a Real Case (pp. 169-176)
Matthias Ehrhardt, Miguel Peco, Ana C. Tarazona, Rafael J. Villanueva and Javier Villanueva-Oller (Lehrstuhlfur Angewandte Mathematik und Numerische Analysis, Fachbereich C–Mathematik und Naturwissenschaften, Bergische Universitat Wuppertal, Wuppertal Germany and others)

Chapter 17 - Mathematical Modelling of the Consumption of High-Invasive Plastic Surgery: Economic Influences and Consequences (pp. 177-184)
M. S. S. Alkasadi, E. De la Poza and L. Jódar (Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain and others)

Chapter 18 - An Optimal Scheme for Solving the Nonlinear Global Positioning System Problem (pp. 185-194)
Manuel Abad, Alicia Cordero and Juan R. Torregrosa (Instituto de Mathemática Multidisciplinar, Universitat Politècnica de València, Valencia, Spain)

Chapter 19 - How to Make a Comparison Matrix in AHP without All the Facts (pp. 195-206)
J. Benítez, L. Carrión, J. Izquierdo and R. Pérez-García (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain)

Chapter 20 - On Optimal Gaussian Preliminary Orbit Determination by Using a Generalized Class of Iterative Methods (pp. 207-216)
Alicia Cordero, Juan R. Torregrosa and María P. Vassileva (Instituto de Matemáticas Multidisciplinar, Universitat Politècnica de València, Valencia, Spain and others)

Chapter 21 - Solving Engineering Models which Use Matrix Hyperbolic Sine and Cosine Functions (pp. 217-226)
Emilio Defez, Jorge Sastre, Javier J. Ibáñez and Jesús Peinado (Instituto Universitario de Matematica Multidisciplinar, Instituto de Telecomunicaciones y Aplicaciones Multimedia, Instituto de Instrumentacion para Imagen Molecular, Universitat Politecnica de Valencia, Valencia, Spain)

Chapter 22 - RSV Modeling Using Genetic Algorithms in a Distributed Computing Environment Based on Cloud File Sharing (pp. 227-240)
J. Gabriel García Caro, Javier Villanueva-Oller and J. Ignacio Hidalgo (Universidad Complutense de Madrid, Madrid, Spain and others)

Chapter 23 - Multi-Agent and Clustering in Data Analysis of GPR Images (pp. 241-252)
D. Ayala-Cabrera, E. P. Carreño-Alvarado, S. J. Ocaña-Levario, J. Izquierdo and R. Pérez-García (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain)

Chapter 24 - Semi-Automatic Segmentation of IVUS Images for the Diagnosis of Cardiac Allograft Vasculopathy (pp. 253-260)
Damián Ginestar, José L. Hueso, Jaime Riera and Ignacio Sánchez Lázaro (Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Spain)

Chapter 25 - Analysis and Detection of V-Formations and Circular Formations in a Set of Moving Entities (pp. 261-272)
Francisco Javier Moreno Arboleda, Jaime Alberto Guzmán Luna and Sebastián Alonso Gómez Arias (Universidad Nacional de Colombia, Sede Medellín, Bloque M8A, Colombia)

Chapter 26 - Analysis of Noise for the Sparse Givens Method in CT Medical Image Reconstruction (pp. 273-280)
A. Iborra, M. J. Rodríguez-Álvarez, A. Soriano, F. Sánchez, M. D. Roselló, P. Bellido, P. Conde, J. P. Rigla, M. Seimetz, L. F. Vidal and J. M. Benlloch (Instituto de Matematica Multidisciplinar (IM2), Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 27 - Agent-Based Model to Determine the Evolution of the Seroprotection Against Meningococal C over the Next Years (pp. 281-290)
L. Pérez-Breva, R. J. Villanueva, J. Villanueva-Oller, L. Acedo, F. J. Santonja, J. A. Moraño, R. Abad, J. A. Vázquez and J. Díez-Domingo (Centro Superior de Investigacionen Salud Publica-Fundacion para el Fomento de la Investigacion Sanitaria y Biomedica de la Comunidad Valenciana (CSISP-FISABIO), Valencia, Spain and others)

Chapter 28 - Applying Clustering Based on Rules for Finding Patterns of Functional Dependency in Schizophrenia (pp. 291-302)
Karina Gibert and Luis Salvador Carulla (Knowledge Engineering and Machine Learning Group, Dpt. Statistics and Operations Research, Universitat Politecnica de Catalunya, Barcelona, Spain and others)

Chapter 29 - Modeling Mathematical Flowgraph Models in Recurrent Events: An Application to Bladder Carcinoma (pp. 303-310)
B. García-Mora, C. Santamaría, G. Rubio and J. Camacho (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 30 - Numerical Solution of American Option Pricing Models Using Front-Fixing Method (pp. 311-320)
V. Egorova, R. Company and L. Jódar (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain)

Chapter 31 - Estimation of the Cost of Academic Underachievement in High School in Spain Over the Next Few Years (pp. 321-336)
J. Camacho, R. Cervelló-Royo, J. M. Colmenar and A. Sánchez-Sánchez (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain and others)

Chapter 32 - A Finite Difference Scheme for Options Pricing Modeled by Lévy Processes (pp. 337-346)
R. Company, M. Fakharany and L. Jódar (Instituto Universitario de Matematica Multidisciplinar, Universitat Politecnica de Valencia, Valencia, Spain)

Chapter 33 - Portfolio Composition to Replicate Stock Market Indexes. Application to the Spanish Index IBEX-35 (pp. 347-356)
J. C. Cortés, A. Debón and C. Moreno (Instituto Universitario de Matematica Multidisciplinar, and Departamento de Estadýsticae Investigacion Operativa Aplicadas y Calidad, Universitat Politecnica de Valencia, Valencia, Spain)

Index

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