Advances in Differential Equations and Applications

✍ Scribed by Fernando Casas, Vicente Martínez (eds.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 280
• Series: SEMA SIMAI Springer Series 4
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-ix
Front Matter....Pages 1-1
A Degenerate Parabolic Logistic Equation....Pages 3-11
Fast and Slow Boundary Oscillations in a Thin Domain....Pages 13-22
A Corrector Result for the Wave Equation with High Oscillating Periodic Coefficients....Pages 23-30
Weak Solutions to a Nonuniformly Elliptic PDE System in the Harmonic Regime....Pages 31-39
Perturbation of Analytic Semigroups in Uniform Spaces in $$\mathbb{R}^{N}$$ ....Pages 41-52
Nonlinear Nonlocal Reaction-Diffusion Equations....Pages 53-61
Front Matter....Pages 63-63
Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients....Pages 65-76
Building Non Singular Morse-Smale Flows on 3-Dimensional Lens Spaces....Pages 77-84
Parameterization Method for Computing Quasi-periodic Reducible Normally Hyperbolic Invariant Tori....Pages 85-94
Existence of Homoclinic and Heteroclinic Connections in Continuous Piecewise Linear Systems....Pages 95-103
Study of Errors in the Integration of the Two Body Problem Using Generalized Sundman’s Anomalies....Pages 105-112
Piecewise Linear Analogue of Hopf-Zero Bifurcation in an Extended BVP Oscillator....Pages 113-121
Front Matter....Pages 123-123
On Multiresolution Transforms Based on Weighted-Least Squares....Pages 125-135
Signal Denoising with Harten’s Multiresolution Using Interpolation and Least Squares Fitting....Pages 137-145
The Wavelet Scalogram in the Study of Time Series....Pages 147-154
A Simplified Wildland Fire Model Applied to a Real Case....Pages 155-167
Functional Output-Controllability of Time-Invariant Singular Linear Systems....Pages 169-182
Optimising the Welding Process in the Manufacture of Offshore Mooring Chains....Pages 183-191
A Model of Traffic Flow in a Network....Pages 193-201
Fire Spotting Effects in Wildland Fire Propagation....Pages 203-214
Front Matter....Pages 215-215
Solving the Pertubed Quantum Harmonic Oscillator in Imaginary Time Using Splitting Methods with Complex Coefficients....Pages 217-227
A High-Order Well-Balanced Central Scheme for the Shallow Water Equations in Channels with Irregular Geometry....Pages 229-237
On Tridiagonal Sign Regular Matrices and Generalizations....Pages 239-247
High Order Variational Integrators: A Polynomial Approach....Pages 249-258
A Block Compression Algorithm for Computing Preconditioners....Pages 259-266
Partially Implicit Runge-Kutta Methods for Wave-Like Equations....Pages 267-278
Operator-Splitting on Hyperbolic Balance Laws....Pages 279-287

✦ Subjects

Ordinary Differential Equations; Partial Differential Equations; Numerical Analysis; Dynamical Systems and Ergodic Theory