Innovative Algorithms and Analysis

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Gosse, Laurent (Επιμελητής έκδοσης), Natalini, Roberto (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Σειρά: Springer INdAM Series, 16
• Θέματα: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Differential geometry.; Biomathematics.; Physics.; Applications of Mathematics.; Partial Differential Equations.; Computational Mathematics and Numerical Analysis.; Mathematical and Computational Biology.; Differential Geometry.; Mathematical Methods in Physics.

 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 non–standard solutions to compressible Euler equations -- 5 On Hyperbolic Balance Laws and Applications -- 6 Viscous equations treated with L-splines and Steklov-Poincaré 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 with gravitation -- 9 Practical convergence rates for degenerate parabolic equations -- 10 Analysis and simulation of nonlinear and nonlocal transport equations -- 11 Semi-analytical methods of solution for the BGK-Boltzmann equation describing sound wave propagation in binary gas mixtures -- 12 Convergent Lagrangian discretization for drift-diffusion with nonlocal aggregation.