Innovative Algorithms and Analysis

  • Laurent Gosse
  • Roberto Natalini

Part of the Springer INdAM Series book series (SINDAMS, volume 16)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Debora Amadori, Seung-Yeal Ha, Jinyeong Park
    Pages 1-24
  3. Vincent Calvez, Laurent Gosse, Monika Twarogowska
    Pages 79-109
  4. Cleopatra Christoforou
    Pages 141-166
  5. Kenneth H. Karlsen, Nils H. Risebro, E. B. Storrøsten
    Pages 243-263
  6. Frédéric Lagoutière, Nicolas Vauchelet
    Pages 265-288

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.


Numerial analysis of non-local drift-diffusion equations Preliminary computations of 2d non-standard solutions Post-Newtonian computations in black-hole spacetimes Filtering for inverse design problems of Burgers equation Semi-analytical methods for sound waves in rarefied gas

Editors and affiliations

  • Laurent Gosse
    • 1
  • Roberto Natalini
    • 2
  1. 1.Istituto per le Applicazioni del Calcolo CNRRomeItaly
  2. 2.Istituto per le Applicazioni del Calcolo CNRRomeItaly

Bibliographic information