175 years of Springer publishing +++ Through June 30: 50% off Physics & Astronomy Books

Springer INdAM Series

Innovative Algorithms and Analysis

Editors: Gosse, Laurent, Natalini, Roberto (Eds.)

  • Offers a survey of post-Newtonian computations for black-hole spacetimes after gravitational wave observation
  • Addresses numerical algorithms for hyperbolic systems and 2D drift-diffusion equations without dimensional splitting
  • Presents application of hyperbolic systems of balance laws to global isometric immersions of 2d Riemann surfaces
see more benefits

Buy this book

eBook 91,62 €
price for Italia (gross)
  • ISBN 978-3-319-49262-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Italia (gross)
  • ISBN 978-3-319-49261-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed:

1. Lagrangian discretizations and wavefront tracking for synchronization models;

2. Astrophysics computations and post-Newtonian approximations;

3. Hyperbolic balance laws and corrugated isometric embeddings;

4. “Caseology” techniques for kinetic equations;

5. Tentative computations of compressible non-standard solutions;

6. Entropy dissipation, convergence rates and inverse design issues.

Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the “state of the art” in certain fields. The book offers a unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references. 

About the authors

Laurent Gosse received the M.S. and Ph.D. degrees both in Mathematics from Universities of Lille 1 and Paris IX Dauphine in 1991 and 1997 respectively. Between 1997 and 1999 he was a TMR postdoc in IACM-FORTH (Heraklion, Crete) mostly working on well-balanced numerical schemes and a posteriori error estimates with Ch. Makridakis. From 1999 to 2001, he was postdoc in Universtity of L'Aquila (Italy) working on stability theory for systems of balance laws and multiphase computations in geometrical optics with K-multibranch solutions. In 2001, he moved to University of Pavia working on asymptotic-preserving schemes and degenerate parabolic equations with G. Toscani. In 2002, he was granted a permanent researcher position at CNR in Bari (Italy) where he developed Lagrangian schemes for nonlinear diffusion models and a stable inversion algorithm for Markov moment problem with O. Runborg. Numerical investigation of semiclassical WKB approximation for quantum models of crystals was conducted with P.A. Markowich between 2003 and 2006. Since 2011, he holds a CNR position at both Roma and University of L'Aquila and works mainly on the applications of Caseology to well-balanced schemes for collisional kinetic equations.


Roberto Natalini received his PhD in Mathematics from the University of Bordeaux I (France) in 1986. He has been the Director of the National Research Council of Italy’s Istituto per le Applicazioni del Calcolo since 2014. His research interests include: analysis of hyperbolic systems of conservation laws, fluid dynamics, road traffic, semiconductors, chemical damage to monuments, and biomathematics. He serves on the Board of the Italian Society of Industrial and Applied Mathematics and is Chair of the European Mathematical Society’s Raising Awareness Committee.

Table of contents (12 chapters)

  • A Nonlocal Version of Wavefront Tracking Motivated by Kuramoto-Sakaguchi Equation

    Amadori, Debora (et al.)

    Pages 1-24

    Preview Buy Chapter 30,44 €
  • High-Order Post-Newtonian Contributions to Gravitational Self-force Effects in Black Hole Spacetimes

    Bini, Donato (et al.)

    Pages 25-77

    Preview Buy Chapter 30,44 €
  • Concentration Waves of Chemotactic Bacteria: The Discrete Velocity Case

    Calvez, Vincent (et al.)

    Pages 79-109

    Preview Buy Chapter 30,44 €
  • A Numerical Glimpse at Some Non-standard Solutions to Compressible Euler Equations

    Chiodaroli, Elisabetta (et al.)

    Pages 111-140

    Preview Buy Chapter 30,44 €
  • On Hyperbolic Balance Laws and Applications

    Christoforou, Cleopatra

    Pages 141-166

    Preview Buy Chapter 30,44 €

Buy this book

eBook 91,62 €
price for Italia (gross)
  • ISBN 978-3-319-49262-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Italia (gross)
  • ISBN 978-3-319-49261-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Innovative Algorithms and Analysis
Editors
  • Laurent Gosse
  • Roberto Natalini
Series Title
Springer INdAM Series
Series Volume
16
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-49262-9
DOI
10.1007/978-3-319-49262-9
Hardcover ISBN
978-3-319-49261-2
Series ISSN
2281-518X
Edition Number
1
Number of Pages
XVIII, 351
Number of Illustrations and Tables
10 b/w illustrations, 60 illustrations in colour
Topics