美国数学学会期刊
期刊
会议
图书
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: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...

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