Trends in Differential Equations and Applications

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This 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.

Author(s): Francisco Ortegón Gallego, María Victoria Redondo Neble, José Rafael Rodríguez Galván (eds.)
Series: SEMA SIMAI Springer Series 8
Edition: 1
Publisher: Springer International Publishing
Year: 2016

Language: English
Pages: IX, 451
Tags: Partial Differential Equations; Ordinary Differential Equations; Mathematical Applications in the Physical Sciences; Computational Mathematics and Numerical Analysis

Front Matter....Pages i-ix
Approximate Osher-Solomon Schemes for Hyperbolic Systems....Pages 1-16
Spectral Shape Analysis of the Hippocampal Structure for Alzheimer’s Disease Diagnosis....Pages 17-32
Characterizations of M-Banded ASSR Matrices....Pages 33-49
A Review of Numerical Analysis for the Discretization of the Velocity Tracking Problem....Pages 51-71
Asymptotic Analysis of a Viscous Flow in a Curved Pipe with Elastic Walls....Pages 73-87
A Two-Scale Homogenization Approach for the Estimation of Porosity in Elastic Media....Pages 89-105
A Matrix Approach to the Newton Formula and Divided Differences....Pages 107-123
Long-Time Behavior of a Cahn-Hilliard-Navier-Stokes Vesicle-Fluid Interaction Model....Pages 125-145
Explicit Blow-Up Time for Two Porous Medium Problems with Different Reaction Terms....Pages 147-167
Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Façade for Typical Meteorological Months Data in Southern Spain....Pages 169-188
Planning Ecotourism Routes in Nature Parks....Pages 189-202
Isometries of the Hamming Space and Equivalence Relations of Linear Codes Over a Finite Field....Pages 203-219
Advances in the Study of Singular Semilinear Elliptic Problems....Pages 221-241
Weighted Extrapolation Techniques for Finite Difference Methods on Complex Domains with Cartesian Meshes....Pages 243-259
High Order Nyström Methods for Transmission Problems for Helmholtz Equation....Pages 261-285
Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems....Pages 287-300
WENO Schemes for Multi-Dimensional Porous Media Flow Without Capillarity....Pages 301-320
Time Dependent Scattering in an Acoustic Waveguide Via Convolution Quadrature and the Dirichlet-to-Neumann Map....Pages 321-337
Location of Emergency Facilities with Uncertainty in the Demands....Pages 339-356
Regularized Inversion of Multi-Frequency EM Data in Geophysical Applications....Pages 357-369
Total Positivity: A New Inequality and Related Classes of Matrices....Pages 371-386
Travelling Wave Solutions of a Generalized Variable-Coefficient Gardner Equation....Pages 387-403
A Second Order Local Projection Lagrange-Galerkin Method for Navier-Stokes Equations at High Reynolds Numbers....Pages 405-417
Finite Element Approximation of Hydrostatic Stokes Equations: Review and Tests....Pages 419-431
....Pages 433-451