Innovative Algorithms and Analysis
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Beschreibung
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 offersa 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.
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.
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
Autor*in
Laurent Gosse
Themen in »Innovative Algorithms and Analysis«
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 partial differential equations