Analysis, Modelling, Optimization, and Numerical Techniques: ICAMI, San Andres Island, Colombia, November 2013 (Springer Proceedings in Mathematics & Statistics Book 121)

Provides mathematical forumulations of problems or models based on specific events Covers a broad range of real-world situations and possible applications Treats situations of interest to researchers in Biology, Physics, Medicine, and Management, as well as Mathematics ​​ This book highlights recent compelling research results and trends in various aspects of contemporary mathematics, emphasizing applications to real-world situations. The chapters present exciting new findings and developments in situations where mathematical rigor is combined with common sense. A multi-disciplinary approach, both within each chapter and in the volume as a whole, leads to practical insights that may result in a more synthetic understanding of specific global issues—as well as their possible solutions. The volume will be of interest not only to experts in mathematics, but also to graduate students, scientists, and practitioners from other fields including physics, biology, geology, management, and medicine. Content Level » Research Keywords » applied analysis - computational mathematics - dynamic systems - mathematical modelling - operational research - stochastic processes Related subjects » Applications - Computational Science & Engineering - Dynamical Systems & Differential Equations Front Matter Pages i-xii Book Chapter Pages 1-36 Augmented Lagrangian Method for Optimal Control Problems Anatoly Antipin, Olga Vasilieva Book Chapter Pages 37-48 Minimizing Sign Changes Rowwise: Consecutive Ones Property and Beyond Dominique Fortin, Ider Tseveendorj Book Chapter Pages 49-56 Variational and Hemivariational Inequalities in Mechanics of Elastoplastic, Granular Media, and Quasibrittle Cracks Boris D. Annin, Victor A. Kovtunenko, Vladimir M. Sadovskii Book Chapter Pages 57-73 Effects of a Discrete Time Delay on an HIV Pandemic Ibrahim Diakite, Benito M. Chen-Charpentier Book Chapter Pages 75-88 On the Riemann Problem for a Hyperbolic System of Temple Class Richard A. De la cruz Guerrero, Juan C. Juajibioy Book Chapter Pages 89-103 Consequences of Weak Allee Effect in a Leslie–Gower-Type Predator–Prey Model with a Generalized Holling Type III Functional Response Paulo C. Tintinago-Ruíz, Leonardo D. Restrepo-Alape, Eduardo González-Olivares Book Chapter Pages 105-112 Critical Points of Solutions to Elliptic Equations in Planar Domains with Corners Jaime Arango, Jairo Delgado Book Chapter Pages 113-126 Sub-Riemannian Geodesics in the Octonionic H -type Group Christian Autenried, Mauricio Godoy Molina Book Chapter Pages 295-307 Liouvillian Propagators and Degenerate Parametric Amplification with Time-Dependent Pump Amplitude and Phase Primitivo B. Acosta-Humánez, Erwin Suazo Book Chapter Pages 309-325 Construction of Shear Wave Models by Applying Multi-Objective Optimization to Multiple Geophysical Data Sets Lennox Thompson, Aaron A. Velasco, Vladik Kreinovich Book Chapter Pages 327-347 Multiobjective Semi-infinite Optimization: Convexification and Properly Efficient Points Francisco Guerra-Vázquez, Jan-Joachim Rückmann Book Chapter Pages 349-362 Qualitative Analysis of Climate Seasonality Effects in a Model of National Electricity Market Johnny Valencia, Gerard Olivar, Carlos Jaime Franco, Isaac Dyner Book Chapter Pages 363-371 Numerical Simulation Analysis of a Traffic Model Mónica Jhoana Mesa Mazo, Johnny Valencia, Gerard Olivar Tost Book Chapter Pages 127-137 Regularization of Inverse Ill-Posed Problems with L 2 -BV Penalizers and Applications to Signal Restoration Gisela L. Mazzieri, Ruben D. Spies, Karina G. Temperini Book Chapter Pages 139-150 Stability Analysis of a Finite Difference Scheme for a Nonlinear Time Fractional Convection Diffusion Equation Carlos D. Acosta, Pedro A. Amador, Carlos E. Mejía Book Chapter Pages 151-171 Dealing with Uncertainties in Computing: From Probabilistic and Interval Uncertainty to Combination of Different Types of Uncertainty Vladik Kreinovich Book Chapter Pages 173-184 A Unified Approach to Piecewise Linear Hopf and Hopf-Pitchfork Bifurcations Enrique Ponce, Javier Ros, Elísabet Vela Book Chapter Pages 185-204 Optimal Decision Making for Breast Cancer Treatment in the Presence of Cancer Regression and Type II Error in Mammography Results Sergio A. Vargas, Shengfan Zhang, Raha Akhavan-Tabatabaei Book Chapter Pages 205-218 On the Iterative Steering of a Rolling Robot Actuated by Internal Rotors Akihiro Morinaga, Mikhail Svinin, Motoji Yamamoto Book Chapter Pages 219-233 Odontological Information Along Cone Splines Cindy González, Marco Paluszny Book Chapter Pages 235-245 Modeling Cell Decisions in Bone Formation Rodrigo Assar, Alejandro Maass, Joaquín Fernández, Ernesto Kofman, Martín A. Montecino Book Chapter Pages 247-256 Biodiversity and its Role on Diseases Transmission Cycles Juan Manuel Cordovez, Camilo Sanabria Book Chapter Pages 257-270 Simulation Model for AIDS Dynamics and Optimal Control Through Antiviral Treatment Carlos Andrés Trujillo-Salazar, Hernán Darío Toro-Zapata Book Chapter Pages 271-281 Orbital Relative Movement Applied the Formation Flight of Artificial Satellites Around the Earth Jorge Soliz, Daniel Molano Book Chapter Pages 283-294 Some Mathematical Aspects in the Expanding Universe Daniel Molano, Leonardo Castañeda This book highlights recent compelling research results and trends in various aspects of contemporary mathematics, emphasizing applicabilitions to real-world situations. The chapters present exciting new findings and developments in situations where mathematical rigor is combined with common sense. A multi-disciplinary approach, both within each chapter and in the volume as a whole, leads to practical insights that may result in a more synthetic understanding of specific global issues as well as their possible solutions. The volume will be of interest not only to experts in mathematics, but also to graduate students, scientists, and practitioners from other fields including physics, biology, geology, management, and medicine.