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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...
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...
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...
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...
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...
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...
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...
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.
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...
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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