## Trends in Differential Equations and ApplicationsFrancisco Ortegón Gallego, María Victoria Redondo Neble, José Rafael Rodríguez Galván 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. |

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### Contents

1 | |

17 | |

Characterizations of MBanded ASSR Matrices | 33 |

A Review of Numerical Analysis for the Discretization of the Velocity Tracking Problem | 51 |

Asymptotic Analysis of a Viscous Flow in a Curved Pipe with Elastic Walls | 73 |

A TwoScale Homogenization Approach for the Estimation of Porosity in Elastic Media | 89 |

A Matrix Approach to the Newton Formula and Divided Differences | 107 |

LongTime Behavior of a CahnHilliardNavierStokes VesicleFluid Interaction Model | 125 |

Weighted Extrapolation Techniques for Finite Difference Methods on Complex Domains with Cartesian Meshes | 243 |

High Order Nyström Methods for Transmission Problems for Helmholtz Equation | 261 |

Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems | 287 |

WENO Schemes for MultiDimensional Porous Media Flow Without Capillarity | 301 |

Time Dependent Scattering in an Acoustic Waveguide Via Convolution Quadrature and the DirichlettoNeumann Map | 321 |

Location of Emergency Facilities with Uncertainty in the Demands | 339 |

Regularized Inversion of MultiFrequency EM Data in Geophysical Applications | 357 |

A New Inequality and Related Classes of Matrices | 371 |

Explicit BlowUp Time for Two Porous Medium Problems with Different Reaction Terms | 147 |

Numerical Assessment of the Energy Efficiency of an Open Joint Ventilated Façade for Typical Meteorological Months Data in Southern Spain | 169 |

Planning Ecotourism Routes in Nature Parks | 189 |

Isometries of the Hamming Space and Equivalence Relations of Linear Codes Over a Finite Field | 203 |

Advances in the Study of Singular Semilinear Elliptic Problems | 221 |

Applications of CSymmetries in the Construction of Solvable Structures | 387 |

Travelling Wave Solutions of a Generalized VariableCoefficient Gardner Equation | 405 |

A Second Order Local Projection LagrangeGalerkin Method for NavierStokes Equations at High Reynolds Numbers | 419 |

Review and Tests | 433 |