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SEMA SIMAI Springer Series

Recent Advances in Differential Equations and Applications

Editors: Garcia Guirao, Juan Luis, Murillo Hernández, José Alberto, Periago Esparza, Francisco (Eds.)

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  • Provides graduate students and researchers with a cutting-edge overview of current research in applied mathematics, mainly in ordinary and partial differential equations
  • Includes color illustrations of simulation results
  • Highlights various concrete applications of mathematics in industry
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-00341-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-00340-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th 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.


About the authors

Juan Luis García Guirao is a Full Professor of Applied Mathematics at the Technical University of Cartagena, Spain. He completed his Master’s and PhD in Mathematics at the Universidad de Murcia, Spain in 2001 and 2004. Under the supervision of Professor Francisco Balibrea, Full Professor of Mathematical Analysis and founder of the Dynamical Systems Group of the Region of Murcia he defended his Master’s Thesis in 2001 and PhD Thesis in 2004. His doctoral studies also involved a research stay at the Instituto Superior Tecnico in Lisbon under the supervision of Professor José Sousa-Ramos, one of the main researchers in Dynamical Systems in Portugal. He has held several positions at different universities, including the Universidad de Alicante, Universidad de Castilla-La Mancha, Universidad Autónoma de Barcelona, and Technical University of Cartagena. In 2011, at the age of 33, he became Spain’s youngest Full Professor of Mathematics. The author of more than 100 research papers published in prominent journals, he also serves on the Editorial Board of several journals, including MATCH Commun. Math. Comput. Chem., Open Physics, and Discrete Dynamics in Nature and Society. He has received a number of awards, e.g. the NSP 2017 for researchers younger than 40 years old, and the JDEA 2017 award for the best paper published in the field of Differential Equations. In addition, he has opened three research lines: discrete dynamical systems defined in low dimensional spaces, study of the periodic structure of smooth systems using the homological Lefschetz theory and analysis of Hamiltonian systems. Applications of the previous lines to problems from the fields of economics, chemistry and engineering are also considered.
José Alberto Murillo Hernández is an Associate Professor at the Department of Applied Mathematics and Statistics, Technical University of Cartagena, Spain. He received his Ph.D. in Mathematics from the University of Valencia, Spain and subsequently took part in a post-doctoral research stay at the Ecole Polytechnique in Paris, France supported by a grant from the European Union. His research interests include set-valued and nonsmooth analysis, viability theory and control. He is currently investigating the description and control of the evolution of sets driven by morphological equations.
Francisco Periago Esparza completed his PhD at the University of Valencia, Spain, in 1999. He is currently an Associate Professor at the Department of Applied Mathematics and Statistics and member of the Computational Mechanics and Scientific Computing group at the Technical University of Cartagena, Spain. His main research interests include optimal control, optimal design and controllability, both at the theoretical level and as applied to engineering problems. In the past few years, he has chiefly focused on optimal control for random PDEs.

Table of contents (14 chapters)

Table of contents (14 chapters)
  • Applications of Observability Inequalities

    Apraiz, Jone

    Pages 1-16

  • Optimal Design of Piezoelectric Microactuators: Linear vs Non-linear Modeling

    Ruiz, David (et al.)

    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

    Ramos, Higinio

    Pages 33-61

  • Application of a Local Discontinuous Galerkin Method to the 1D Compressible Reynolds Equation

    Arregui, Iñigo (et al.)

    Pages 63-75

  • Classical Symmetries for Two Special Cases of Unsteady Flow in Nanoporous Rock

    Garrido, Tamara M. (et al.)

    Pages 77-86

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-00341-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
  • ISBN 978-3-030-00340-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Recent Advances in Differential Equations and Applications
Editors
  • Juan Luis Garcia Guirao
  • José Alberto Murillo Hernández
  • Francisco Periago Esparza
Series Title
SEMA SIMAI Springer Series
Series Volume
18
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-00341-8
DOI
10.1007/978-3-030-00341-8
Hardcover ISBN
978-3-030-00340-1
Series ISSN
2199-3041
Edition Number
1
Number of Pages
XIV, 244
Number of Illustrations
6 b/w illustrations, 53 illustrations in colour
Topics