Recent Advances in Differential Equations and Applications

✍ Scribed by Juan Luis García Guirao, José Alberto Murillo Hernández, Francisco Periago Esparza

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 250
• Series: SEMA SIMAI Springer Series 18
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This work gathers a selection of outstanding papers presented at the 25^th Conference on Differential Equations and Applications / 15^th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics.

✦ Table of Contents

Front Matter ....Pages i-xiv
Applications of Observability Inequalities (Jone Apraiz)....Pages 1-16
Optimal Design of Piezoelectric Microactuators: Linear vs Non-linear Modeling (David Ruiz, José Carlos Bellido, Alberto Donoso)....Pages 17-32
Formulation and Analysis of a Class of Direct Implicit Integration Methods for Special Second-Order I.V.P.s in Predictor-Corrector Modes (Higinio Ramos)....Pages 33-61
Application of a Local Discontinuous Galerkin Method to the 1D Compressible Reynolds Equation (Iñigo Arregui, J. Jesús Cendán, María González)....Pages 63-75
Classical Symmetries for Two Special Cases of Unsteady Flow in Nanoporous Rock (Tamara M. Garrido, Rafael de la Rosa, María Santos Bruzón)....Pages 77-86
Asymptotic Behaviour of Finite Length Solutions in a Thermosyphon Viscoelastic Model (Ángela Jiménez-Casas)....Pages 87-105
Conservation Laws and Potential Symmetries for a Generalized Gardner Equation (Rafael de la Rosa, Tamara M. Garrido, María Santos Bruzón)....Pages 107-119
On a Nonlocal Boussinesq System for Internal Wave Propagation (Angel Durán)....Pages 121-139
Subdivision Schemes and Multiresolution Analyses: Focus on the Shifted Lagrange and Shifted PPH Schemes (Zhiqing Kui, Jean Baccou, Jacques Liandrat)....Pages 141-155
Modelling Sparse Saliency Maps on Manifolds: Numerical Results and Applications (Euardo Alcaín, Ana Isabel Muñoz, Iván Ramírez, Emanuele Schiavi)....Pages 157-175
Linear Elimination in Chemical Reaction Networks (Meritxell Sáez, Elisenda Feliu, Carsten Wiuf)....Pages 177-193
Minimal Set of Generators of Controllability Space for Singular Linear Systems (María Isabel García-Planas)....Pages 195-210
On Stability of Discontinuous Galerkin Approximations to Anisotropic Stokes Equations (Francisco Guillén-González, María Victoria Redondo-Neble, José Rafael Rodríguez-Galván)....Pages 211-228
Numerical Simulation of Wear-Related Problems in a Blast Furnace Runner (Patricia Barral, Begoña Nicolás, Luis Javier Pérez-Pérez, Peregrina Quintela)....Pages 229-244

✦ Subjects

Mathematics; Ordinary Differential Equations; Partial Differential Equations; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Optimization; Mathematical and Computational Engineering