Innovative Algorithms and Analysis [Hardcover]

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. 

1 A nonlocal version of wavefront tracking motivated by Kuramoto-Sakaguchi equation.- 2 High-order post-Newtonian contributions to gravitational self-force effects in black hole spacetimes.- 3 Concentration waves of chemotactic bacteria: the discrete velocity case.- 4 A numerical glimpse at some nonstandard solutions to compressible Euler equations.- 5 On Hyperbolic Balance Laws and Applications.- 6 Viscous equations treated with L-splines and Steklov-Poincar? operator in two dimensions.- 7 Filtered gradient algorithms for inverse design problems of one-dimensional Burgers equation.- 8 A well-balanced scheme for the Euler equations wl³D