Ortegón Gallego F., Redondo Neble M.V., Rodríguez Galván J.R. (Eds.)Trends in Differential Equations and Applications

Springer International Publishing, Switzerland,2016. – 445 p. – ISBN10: 3319320122This work collects the most important results presented at the Congress on Differential Equations and Applications/Congress on Applied Mathematics (CEDYA/CMA) in Cádiz (Spain) in 2015. It supports further research in differential equations, numerical analysis, mechanics, control and optimization. In particular, it helps readers gain an overview of specific problems of interest in the current mathematical research related to different branches of applied mathematics. This includes the analysis of nonlinear partial differential equations, exact solutions techniques for ordinary differential equations, numerical analysis and numerical simulation of some models arising in experimental sciences and engineering, control and optimization, and also trending topics on numerical linear Algebra, dynamical systems, and applied mathematics for Industry.
This volume is mainly addressed to any researcher interested in the applications of mathematics, especially in any subject mentioned above. It may be also useful to PhD students in applied mathematics, engineering or experimental sciences.
Topics
Partial Differential Equations
Ordinary Differential Equations
Mathematical Applications in the Physical Sciences
Computational Mathematics and Numerical AnalysisApproximate Osher-Solomon Schemes for Hyperbolic Systems
Spectral Shape Analysis of the Hippocampal Structure for Alzheimer’s Disease Diagnosis
Characterizations of M-Banded ASSR Matrices
A Review of Numerical Analysis for the Discretization of the Velocity Tracking Problem
Asymptotic Analysis of a Viscous Flow in a Curved Pipe with Elastic Walls
A Two-Scale Homogenization Approach for the Estimation of Porosity in Elastic Media
A Matrix Approach to the Newton Formula and Divided Differences
Long-Time Behavior of a Cahn-Hilliard-Navier-Stokes Vesicle-Fluid Interaction Model
Explicit Blow-Up Time for Two Porous Medium Problems with Different Reaction Terms
Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Façade for Typical Meteorological Months Data in Southern Spain
Planning Ecotourism Routes in Nature Parks
Isometries of the Hamming Space and Equivalence Relations of Linear Codes Over a Finite Field
Advances in the Study of Singular Semilinear Elliptic Problems
Weighted Extrapolation Techniques for Finite Difference Methods on Complex Domains with Cartesian Meshes
High Order Nyström Methods for Transmission Problems for Helmholtz Equation
Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems
WENO Schemes for Multi-Dimensional Porous Media Flow Without Capillarity
Time Dependent Scattering in an Acoustic Waveguide Via Convolution Quadrature and the Dirichlet-to-Neumann Map
Location of Emergency Facilities with Uncertainty in the Demands
Regularized Inversion of Multi-Frequency EM Data in Geophysical Applications
Total Positivity: A New Inequality and Related Classes of Matrices
Applications of C 1 -Symmetries in the Construction of Solvable Structures
Travelling Wave Solutions of a Generalized Variable-Coefficient Gardner Equation
A Second Order Local Projection Lagrange-Galerkin Method for Navier-Stokes Equations at High Reynolds Numbers
Finite Element Approximation of Hydrostatic Stokes Equations: Review and Tests