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Advances in Differential Equations and Applications

  • Book
  • © 2014

Overview

Editors:
  1. Fernando Casas

    1. Dept. de Mathemàtiques and IMAC, Universitat Jaume I, Castelló, Spain

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  2. Vicente Martínez

    1. Dept. de Mathemàtiques and IMAC, Universitat Jaume I, Castelló, Spain

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    You can also search for this editor in PubMed   Google Scholar

  • Includes recent contributions to the numerical analysis of differential equations, both ordinary and partial
  • Provides an overview of recent activity in applied mathematics in Spain
  • Faces new modeling processes in industrial mathematics
  • Includes supplementary material: sn.pub/extras

Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 4)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-ix
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  2. Partial Differential Equations

    1. Front Matter

      Pages 1-1
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    2. A Degenerate Parabolic Logistic Equation

      • José M. Arrieta, Rosa Pardo, Aníbal Rodríguez-Bernal
      Pages 3-11

    3. Fast and Slow Boundary Oscillations in a Thin Domain

      • José M. Arrieta, Manuel Villanueva-Pesqueira
      Pages 13-22

    4. A Corrector Result for the Wave Equation with High Oscillating Periodic Coefficients

      • Juan Casado-Díaz, Julio Couce-Calvo, Faustino Maestre, José Domingo Martín-Gómez
      Pages 23-30

    5. Weak Solutions to a Nonuniformly Elliptic PDE System in the Harmonic Regime

      • María Teresa González Montesinos, Francisco Ortegón Gallego
      Pages 31-39

    6. Perturbation of Analytic Semigroups in Uniform Spaces in \(\mathbb{R}^{N}\)

      • Carlos Quesada, Aníbal Rodríguez-Bernal
      Pages 41-52

    7. Nonlinear Nonlocal Reaction-Diffusion Equations

      • Aníbal Rodríguez-Bernal, Silvia Sastre-Gómez
      Pages 53-61

  3. Ordinary Differential Equations and Dynamical Systems

    1. Front Matter

      Pages 63-63
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    2. Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients

      • Ana Arnal, Cristina Chiralt
      Pages 65-76

    3. Building Non Singular Morse-Smale Flows on 3-Dimensional Lens Spaces

      • Beatriz Campos, Pura Vindel
      Pages 77-84

    4. Parameterization Method for Computing Quasi-periodic Reducible Normally Hyperbolic Invariant Tori

      • Marta Canadell, Àlex Haro
      Pages 85-94

    5. Existence of Homoclinic and Heteroclinic Connections in Continuous Piecewise Linear Systems

      • Victoriano Carmona, Fernando Fernández-Sánchez, Elisabeth García-Medina
      Pages 95-103

    6. Study of Errors in the Integration of the Two Body Problem Using Generalized Sundman’s Anomalies

      • José Antonio López Ortí, Francisco José Marco Castillo, María José Martínez Usó
      Pages 105-112

    7. Piecewise Linear Analogue of Hopf-Zero Bifurcation in an Extended BVP Oscillator

      • Enrique Ponce, Javier Ros, Elísabet Vela
      Pages 113-121

  4. Applications and Modeling

    1. Front Matter

      Pages 123-123
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    2. On Multiresolution Transforms Based on Weighted-Least Squares

      • Francesc Aràndiga, Dionisio F. Yáñez
      Pages 125-135

    3. Signal Denoising with Harten’s Multiresolution Using Interpolation and Least Squares Fitting

      • Francesc Aràndiga, José Jaime Noguera
      Pages 137-145

    4. The Wavelet Scalogram in the Study of Time Series

      • Vicente J. Bolós, Rafael Benítez
      Pages 147-154

    5. A Simplified Wildland Fire Model Applied to a Real Case

      • Luis Ferragut, María Isabel Asensio, José Manuel Cascón, Diego Prieto
      Pages 155-167
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Keywords

About this book

The book contains a selection of contributions given at the 23th Congress on Differential Equations and Applications (CEDYA) / 13th Congress of Applied Mathematics (CMA) that took place at Castellon, Spain, in 2013. CEDYA is renowned as the congress of the Spanish Society of Applied Mathematics (SEMA) and constitutes the main forum and meeting point for applied mathematicians in Spain. The papers included in this book have been selected after a thorough refereeing process and provide a good summary of the recent activity developed by different groups working mainly in Spain on applications of mathematics to several fields of science and technology. The purpose is to provide a useful reference of academic and industrial researchers working in the area of numerical analysis and its applications.

Editors and Affiliations

  • Dept. de Mathemàtiques and IMAC, Universitat Jaume I, Castelló, Spain

    Fernando Casas, Vicente Martínez

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