LEADER 04636nam 22007335 450 001 9910254290703321 005 20251113192500.0 010 $a3-319-49262-4 024 7 $a10.1007/978-3-319-49262-9 035 $a(CKB)4340000000060685 035 $a(DE-He213)978-3-319-49262-9 035 $a(MiAaPQ)EBC4866071 035 $a(PPN)201473054 035 $a(EXLCZ)994340000000060685 100 $a20170308d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInnovative Algorithms and Analysis /$fedited by Laurent Gosse, Roberto Natalini 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XVIII, 351 p. 70 illus., 60 illus. in color.) 225 1 $aSpringer INdAM Series,$x2281-5198 ;$v16 311 08$a3-319-49261-6 320 $aIncludes bibliographical references. 327 $a1 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. 330 $aThis volume gathers contributions reflecting topics presented during an INDAM workshop held in Rome in May 2016. The event brought together many prominent researchers in both Mathematical Analysis and Numerical Computing, the goal being to promote interdisciplinary collaborations. Accordingly, the following thematic areas were developed: 1. Lagrangian discretizations and wavefront tracking for synchronization models; 2. Astrophysics computations and post-Newtonian approximations; 3. Hyperbolic balance laws and corrugated isometric embeddings; 4. ?Caseology? techniques for kinetic equations; 5. Tentative computations of compressible non-standard solutions; 6. Entropy dissipation, convergence rates and inverse design issues. Most of the articles are presented in a self-contained manner; some highlight new achievements, while others offer snapshots of the ?state of the art? in certain fields. The book offersa unique resource, both for young researchers looking to quickly enter a given area of application, and for more experienced ones seeking comprehensive overviews and extensive bibliographic references. 410 0$aSpringer INdAM Series,$x2281-5198 ;$v16 606 $aMathematics 606 $aDifferential equations 606 $aMathematics$xData processing 606 $aBiomathematics 606 $aGeometry, Differential 606 $aMathematical physics 606 $aApplications of Mathematics 606 $aDifferential Equations 606 $aComputational Mathematics and Numerical Analysis 606 $aMathematical and Computational Biology 606 $aDifferential Geometry 606 $aMathematical Methods in Physics 615 0$aMathematics. 615 0$aDifferential equations. 615 0$aMathematics$xData processing. 615 0$aBiomathematics. 615 0$aGeometry, Differential. 615 0$aMathematical physics. 615 14$aApplications of Mathematics. 615 24$aDifferential Equations. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical and Computational Biology. 615 24$aDifferential Geometry. 615 24$aMathematical Methods in Physics. 676 $a511.8 702 $aGosse$b Laurent$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aNatalini$b Roberto$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254290703321 996 $aInnovative Algorithms and Analysis$91560512 997 $aUNINA