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＜電子ブック＞
Innovative Algorithms and Analysis / edited by Laurent Gosse, Roberto Natalini
(Springer INdAM Series. ISSN:22815198 ; 16)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2017
本文言語	英語
大きさ	XVIII, 351 p. 70 illus., 60 illus. in color : online resource
著者標目	Gosse, Laurent editor Natalini, Roberto editor SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Differential equations LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Biomathematics LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Applications of Mathematics FREE:Differential Equations FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical and Computational Biology FREE:Differential Geometry FREE:Mathematical Methods in Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-49262-9

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