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空间分数阶扩散方程的多项式点插值配置法
空间分数阶微分方程 多项式基 配置法 Riemann-Liouville分数阶导数 形函数
2022/3/30
采用多项式基点插值配置法求解带有双侧导数的空间分数阶微分方程。首先给出利用多项式基点插值离散得到的数值逼近格式，然后给出数值算例，分别采用规则点和散点离散空间变量，均得到近似程度较好的计算结果，很好地验证了所提出数值方法的有效性。
研究了具有二维Marshall Olkin指数分布的两部件组成的并联系统似然比序性质，部分推广了相关文献的结论。同时考虑了具有广义二维Marshall Olkin分布的两部件组成的并联系统,得到了并联系统的随机比较性质。
Generalized word type pattern for nonregular factorial designs with multiple groups of factors
type pattern Generalized word
2015/3/18
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone
sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level
factors.
MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD
Response surface designs modified slope rotatable central composite designs
2015/3/18
In this paper, a new method of modified second order slope rotatable designs
(SOSRD) using balanced incomplete block designs (BIBD) for 4≤v≤16 is presented. In
this method the number of design point...
For a given positive integer $m$, let $A=\set{0,1,\ldots,m}$ and $q \in (m,m+1)$. A sequence $(c_i)=c_1c_2 \ldots$ consisting of elements in $A$ is called an expansion of $x$ if $\sum_{i=1}^{\infty} c...
The homotopy limit problem and (etale) hermitian K-theory
The homotopy limit problem hermitian K-theory
2010/11/24
Let X be a noetherian separated scheme with 2 invertible in the ring of regular functions. Assume further that $X$ has finite Krull dimension and there is a global bound on the virtual 2 cohomological...
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Incompatible Initial Boundary Data
2010/11/24
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
2010/11/24
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...
In this paper, it is shown that if F(x , y) is an irreducible binary form with integral coefficients and degree $n \geq 3$, then provided that the absolute value of the discriminant of F is large enou...
Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. Let $q_1
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
Given a graded sequence of ideals (a_m) on a smooth variety X, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepanc...
Enumeration of snakes and cycle-alternating permutations
snakes cycle-alternating permutations
2010/11/9
Springer numbers are an analog of Euler numbers for the group of signed permutations. Arnol'd showed that they count some objects called snakes, that generalize alternating permutations. Hoffman estab...
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
semigroup Riemannian manifolds singular data
2010/11/12
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initial condition. We sho...
Pfaffian Stochastic Dynamics of Strict Partitions
Pfaffian Stochastic Dynamics Strict Partitions
2010/11/19
We study a family of continuous-time Markov jump processes on strict partitions (partitions with distinct nonzero parts) preserving the distributions introduced by Borodin (1997) in connection with p...