本刊英文版2013年56卷第1期摘要(英文)

Nonabelian Jacobian of smooth projective surfaces-a survey REIDER Igor Abstract The nonabelian Jacobian J(X;L,d)of a smooth projective surface X is inspired by the classical theory of Jacobian of curves.It is built as a natural scheme interpolating between the Hilbert scheme X[d]of subschemes of     

本刊英文版2012年55卷第3期摘要

Martin boundary and exit space on the Sierpinski gasket;On higher-dimensional contrast structure of singularly perturbed Dirichlet problem;On the limit behavior of the magnetic Zakharov system;On representations of real Jacobi groups;The mean value involving Dedekind sums and two-term exponential sums     

本刊英文版2013年56卷第5期摘要(英文)

A posteriori error estimator for eigenvalue problems by mixed finite element method JIA ShangHui,CHEN HongTao & XIE HeHu Abstract In this paper,a residual type of a posteriori error estimator for the general second order elliptic eigenpair approximation by the mixed finite element method is derived and analyzed,based on a type of superconvergence result of the eigenfunction approximation.Its efficiency and reliability are proved by both theoretical analysis and numerical experiments.     

本刊英文版2013年56卷第2期摘要(英文)

On reducible Heegaard splittings SUN DongQi,LEI FengChun & LI FengLing Abstract Let V∪S W be a reducible Heegaard splitting of genus g= g(S)2.For a maximal prime connected 21     

本刊英文版2013年56卷第6期摘要(英文)

An approach of constructing mixed-level orthogonal arrays of strength3JIANG Ling&YIN JianXing Abstract Orthogonal arrays(OAs),mixed level or fixed level(asymmetric or symmetric),are useful in the design of various experiments.     

本刊英文版2014年57卷第7期摘要(英文)

<正>Efficient implementation of the Barnes-Hut octree algorithm for Monte Carlo simulations of charged systems GAN ZeChengXU ZhenLi Abstract Computer simulation with Monte Carlo is an important tool to investigate the function and equilibrium properties of many biological and soft matter materials solvable in solvents.The appropriate treatment of longrange electrostatic interaction is essential for these charged systems,     

本刊英文版2010年53卷第6期摘要(英文)

<正>On notions of harmonicity for non-symmetric Dirichlet form MA ZhiMing,ZHU RongChanZHU XiangChanAbstract In this paper,we extend the equivalence of the analytic     

本刊英文版2010年53卷第8期摘要(英文)

<正>Some non-trivial Kazhdan-Lusztig coefficients of an affine Weyl group of type A~n SCOTT LeonardXI NanHua Abstract In this paper we show that the leading coefficientμ(y,w)of some     

本刊英文版2010年53卷第4期摘要(英文)

<正>Intrinsic ultracontractivity on Riemannian manifolds with infi-nite volume measures WANG FengYu Abstract By establishing the intrinsic super-Poincarinequality,some explicit     

本刊英文版2014年57卷第8期摘要(英文)

<正>Ramanujan-type congruences for broken 2-diamond partitions modulo 3CHEN William Y.C.,FAN Anna R.B.YU Rebecca T.Abstract The notion of broken k-diamond partitions was introduced by Andrews and Paule.Let△_k(n)denote the number of broken k-diamond partitions of n,Andrews and Paule also posed three conjectures on the congruences of△_2(n)modulo 2,5 and 25.Hirschhorn and     

本刊英文版2010年53卷第10期摘要(英文)

<正>Extremal eigenvalues of measure differential equations with fixed variation ZHANG MeiRong Abstract In this paper we will study eigenvalues of measure differential equations which are motivated by     

本刊英文版2010年53卷第11期摘要(英文)

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本刊英文版2011年54卷第6期摘要

On computing Grbner bases in rings of differential operators MA Xiao Dong,SUN Yao&WANG Ding Kang Abstract Insa and Pauer presented a basic theory of Gr¨obner basis for     

本刊英文版2012年55卷第7期摘要

Weak crossed biproducts and weak projections FERNP, NDEZ VILABOA Jose Manuel, GONZALEZ RODRiGUEZ Ramon ＆ RODRiGUEZ RAPOSO Ana Belen Abstract In this paper, we present the general theory and universal properties of weak crossed biproducts. We prove that every weak projection of weak bialgebras induces one of these weak crossed structures. Finally, we compute explicitly the weak crossed biproduct associated with a groupoid that admits an exact factorization.     

本刊英文版2012年55卷第9期摘要

Chebfun and numerical quadrature HALE Nicholas ＆ TREFETHEN Lloyd N Abstract Chebfun is a Matlab-based software system that overloads Matlab＇s discrete operations for vectors and matrices to analogous continuous operations for functions and operators. We begin by describing Chebfun＇s fast capabilities for Clenshaw-Curtis and also Gauss-Legendre, -Jacobi, -Hermite, and -Laguerre quadrature, based on algorithms of Waldvogel and Glaser, Liu and Rokhlin. Then we consider how such methods can be applied to quadrature problems including 2D integrals over rectangles, fractional derivatives and integrals, functions defined on unbounded intervals, and the fast computation of weights for barycentric interpolation.