Trends in Differential Equations and Applications

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Francisco Ortegón Gallego, María Victoria Redondo Neble, José Rafael Rodríguez Galván
Springer, Jun 9, 2016 - Mathematics - 451 pages

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.

 

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Contents

Approximate OsherSolomon Schemes for Hyperbolic Systems
1
Spectral Shape Analysis of the Hippocampal Structure for Alzheimers Disease Diagnosis
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
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