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A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior
作者：Philippe LeFloch , Shuyang Xiang
来源：[J].Communications in Applied Mathematics and Computational Science(IF 2.4), 2018, Vol.13 (2), pp.271-301MSP
摘要：We study the dynamical behavior of compressible fluids evolving on theouter domain of communication of a Schwarzschild background. For boththe relativistic Burgers equation and the relativistic Euler system, assumingspherical symmetrywe introduce numerical methods that take the S...
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    Efficient high-order discontinuous Galerkin computations of low Mach number flows
    作者：Jonas Zeifang , Klaus Kaiser , Andrea Beck ...
    来源：[J].Communications in Applied Mathematics and Computational Science(IF 2.4), 2018, Vol.13 (2), pp.243-270MSP
    摘要：We consider the efficient approximation of low Mach number flows by ahigh-order scheme, coupling a discontinuous Galerkin (DG)discretization in space with an implicit/explicit (IMEX) discretization in time.The splitting into linear implicit and nonlinear explicit parts relies hea...
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      A semi-implicit multiscale scheme for shallow water flows at low Froude number
      作者：Stefan Vater , Rupert Klein
      来源：[J].Communications in Applied Mathematics and Computational Science(IF 2.4), 2018, Vol.13 (2), pp.303-336MSP
      摘要：A new large time step semi-implicit multiscale method is presented for thesolution of low Froude number shallow water flows. While on small scales whichare under-resolved in time the impact of source terms on the divergence of theflow is essentially balanced, on large resolved sc...
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        Software for computing conformal block divisorson M0,n
        作者：David Swinarski
        来源：[J].Journal of Software for Algebra and Geometry, 2018, Vol.8 (1), pp.81-86MSP
        摘要：\advance\leftskip-6pt\advance\rightskip-6ptWe introduce the packages \texttt{LieTypes.m2} and\texttt{ConformalBlocks.m2} for Macaulay2. \texttt{LieTypes.m2} contains basic types forworking with Lie algebras and Lie algebra modules.\texttt{ConformalBlocks.m2} computes ranks and fi...
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          Divisor Package for Macaulay2
          作者：Karl Schwede , Zhaoning Yang
          来源：[J].Journal of Software for Algebra and Geometry, 2018, Vol.8 (1), pp.87-94MSP
          摘要：This note describes a Macaulay2 package for handlingdivisors. Group operations for divisors are included. There aremethods for converting divisors to reflexive or invertible sheaves.Additionally, there are methods for checking whether divisors areCartier, $\mathbb{Q}$-Cartier, si...
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            C∗–algebraic higher signatures and aninvariance theorem in codimension two
            作者：Nigel Higson , Thomas Schick , Zhizhang Xie
            来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (6), pp.3671-3699MSP
            摘要：We revisit the construction of signature classes in $C^*\mkern -1.5mu$--algebra$K\mkern -1.5mu$--theory, and develop a variation that allows us to prove equality ofsignature classes in some situations involving homotopy equivalencesof noncompact manifolds that are only definedout...
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              On the Farrell–Jones conjecture forWaldhausen’s A–theory
              作者：Nils-Edvin Enkelmann , Wolfgang Lück , Malte Pieper ...
              来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (6), pp.3321-3394MSP
              摘要：We prove the Farrell--Jones conjecture for (nonconnective) $A$--theorywith coefficientsand finite wreath products for hyperbolic groups, $\operatorname{CAT}(0)$--groups,cocompact lattices inalmost connected Lie groups and fundamental groups of manifolds of dimensionless orequal t...
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                A formal Riemannian structure on conformalclasses and uniqueness for the σ2–Yamabe problem
                作者：Matthew Gursky , Jeffrey Streets
                来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (6), pp.3501-3573MSP
                摘要：We define a new formal Riemannian metric on aconformal classes of four-manifolds in the context of the $\sigma_2$--Yamabeproblem. Exploiting this new variational structure weshow that solutions are unique unless the manifold is conformallyequivalent to the round sphere.
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                  Faithful actions from hyperplane arrangements
                  作者：Yuki Hirano , Michael Wemyss
                  来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (6), pp.3395-3433MSP
                  摘要：We show that if $X$ is a smooth quasiprojective $3$--fold admittinga flopping contraction, then the fundamental group of an associatedsimplicial hyperplane arrangement acts faithfully on the derivedcategory of $X\!$. The main technical advance is to use torsion pairsas an efficie...
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                    Computational complexity and 3–manifolds andzombies
                    作者：Greg Kuperberg , Eric Samperton
                    来源：[J].Geometry & Topology(IF 0.974), 2018, Vol.22 (6), pp.3623-3670MSP
                    摘要：We show the problem of counting homomorphisms from the fundamental groupof a homology $3$--sphere $M$ to a finite, nonabelian simple group $G$is almost parsimoniously $\# \mathsf{P}$--complete, when $G$ is fixed and $M$ is thecomputational input. In the reduction, we guarantee th...
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