作者：Dietmar Gallistl 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.73-89AMS 摘要：A numerical scheme for computing approximations to the inf-sup constant of the divergence operator in bounded Lipschitz polytopes in $\mathbb{R}^n$ is proposed. The method is based on a conforming approximation of the pressure space based on piecewise polynomials of some fixed d...
 作者：Andrew J. Chan , Diane Maclagan 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.467-483AMS 摘要：Let $K$ be a field with a valuation and let $S$ be the polynomial ring $S:= K[x_1, \dots , x_n]$. We discuss the extension of Gröbner theory to ideals in $S$, taking the valuations of coefficients into account, and describe the Buchberger algorithm in this context. In ad...
 作者：L. Beirão da Veiga , D. Mora , G. Rivera 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.149-178AMS 摘要：We present a virtual element method for the Reissner-Mindlin plate bending problem which uses shear strain and deflection as discrete variables without the need of any reduction operator. The proposed method is conforming in $[H^{1}(\Omega )]^2 \times H^2(\Omega )$ and has the a...
 作者：Marko Lange , Siegfried M. Rump 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.349-368AMS 摘要：Standard Wilkinson-type error estimates of floating-point algorithms that are solely based on the first or second standard model typically involve a factor $\gamma _k:=k\mathbf {u}/(1-k\mathbf {u})$, where $\mathbf {u}$ denotes the relative rounding error unit of a floating-poi...
 作者：Eric M. Friedlander 来源：[J].Bulletin of the American Mathematical Society(IF 2.556), 2018, Vol.55 (4), pp.403-404AMS
 作者：A. Hajdu , L. Hajdu , R. Tijdeman 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.369-387AMS 摘要：In this paper we address the task of finding well approximating lattices for a given finite set $A$ of points in ${\mathbb{R}}^n$ motivated by practical texture analytic problems. More precisely, we search for $\boldsymbol {o},\boldsymbol {d_1}, \dots ,\boldsymbol {d_n}\in \ma...  作者：Jan Tuitman 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.439-451AMS 摘要：We give an improvement of the deformation method for computing the zeta function of a generic projective hypersurface over a finite field of characteristic$ p$that reduces the dependence of the complexity on$ p$to$ \tilde {O}(p^{1/2})$while remaining polynomial in the other...  作者：Yanqiu Wang 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.237-271AMS 摘要：A nonconforming lowest order Crouzeix-Raviart type finite element, based on the generalized barycentric coordinates, is constructed on general polygonal (convex or nonconvex) meshes. We reveal a fundamental difference of the Crouzeix-Raviart type degrees of freedom between polygo...  作者：Haijin Wang , Yunxian Liu , Qiang Zhang ... 来源：[J].Mathematics of Computation(IF 1.366), 2018, Vol.88 (315), pp.91-121AMS 摘要：The main purpose of this paper is to study the stability and error estimates of the local discontinuous Galerkin (LDG) methods coupled with multi-step implicit-explicit (IMEX) time discretization schemes, for solving time-dependent incompressible fluid flows. We will give theoret...  作者：Julia Mueller 来源：[J].Bulletin of the American Mathematical Society(IF 2.556), 2018, Vol.55 (4), pp.493-528AMS 摘要：This article is an introduction to the early life and work of Robert P. Langlands, creator and founder of the Langlands program. The story is, to a large extent, told by Langlands himself, in his own words. Our focus is on two of Langlands' major discoveries: automorphic$ L...