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Simplicial Differerential Calculus, Divided Differences, and Construction of Weil Functors
divided differences differential calculus jet functor scalar extension
2010/12/6
We define a simplicial differential calculus by generalizing divided differences from the case of curves to the case of general maps, defined on general topological vector spaces, or even on modules o...
Operational methods and Lorentz-type equations of motion
Operational methods Lorentz-type equations of motion
2010/12/9
We propose an operational method for the solution of di erential equations involv-ing vector products. The technique we propose is based on the use of the evolution operator, de ned in such a way that...
Berry-Esséen Bounds for Long Memory Moving Averages via Stein's Method and Malliavin Calculus
limit theorems long memory moving average multiple stochastic integrals Malliavin calculus weak convergence
2010/12/1
Using the Stein method on Wiener chaos introduced in [10] we prove Berry-Ess´een bounds for long memory moving averages.
对$n$维多重非齐次调和方程${\it \Delta}^{(k)}u=f(x),x\in\mbox{\boldmath $R$}^{n}$, 给出了基本解的递推公式以及多重调和函数的积分关系式.在非齐次项$f(x)$为$m$次调和的情形下将域上的积分转化为沿边界的积分,进而应用直接法给出了基本边界积分方程.对$f(x)$为一般光滑函数的情形,给出了用泰勒多项式逼近时相应的误差估计并证明了含误差项的...
天津工程师范学院高等数学第七章微分方程第二节 一阶微分方程
天津工程师范学院 高等数学 一阶微分方程
2010/4/14
天津工程师范学院高等数学第七章微分方程第二节 一阶微分方程。
Recursive Generation of Isochronous Hamiltonian Systems
Isochronous Hamiltonian Systems collective coordinate $Q$ isochronous oscillators
2010/4/2
We propose a simple procedure to identify the collective coordinate $Q$ which is used to generate the isochronous Hamiltonian. The new isochronous Hamiltonian generates more and more isochronous oscil...
Intrinsic Equations for a Relaxed Elastic Line on an Oriented Hypersurface in the Minkowski Space Rn1
Elastic line Minkowski space
2010/3/1
We gived the intrinsic equations for a relaxed elastic line on an oriented surface in {\Bbb {R}}13 ([1],[2]). In this paper, we derived the intrinsic equations for a relaxed elastic line on an oriente...
New Exact Solutions of a Generalized Shallow Water Wave Equation
Exact Solutions Generalized Shallow Water Wave Equation
2010/4/2
In this work an extended Jacobian elliptic function method is proposed and applied to the generalized shallow water wave equation. We systematically investigate to classify new exact travelling wave s...
Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
partial integro-differential equation jump diffusion models
2010/4/27
In mathematical finance a popular approach for pricing options under some Levy model is to consider underlying that follows a Poisson jump diffusion process. As it is well known this results in a part...
适用于特定介质电磁散射的单等效流积分方程
单积分方程 高介电常数 雷达散射截面 矩量法
2010/2/22
为解决介质电磁散射问题中传统的单等效流积分方程中计算复杂度高的问题,提出了一种新的单等效流积分方程. 通过计算若干介质体的雷达散射截面,发现对于高介电常数的介质体, 该方程能在保证一定计算精度的同时,显著降低数值积分的奇异性和计算总量. 最后简单分析了该方程成立的原因.
带粗糙核的分数次积分算子交换子在Morrey-Herz空间的加权有界性
Morrey-Herz空间 交换子 权 有界性
2012/11/8
受Morrey-Herz空间和奇异积分算子的启发,讨论了加权Morrey-Herz空间MKp,qα,λ(ω1,ω2)上的算子.基于Ap权函数理论,应用调和分析的方法,得到了带粗糙核的分数次积分算子交换子在加权Morrey-Herz空间MKp,qα,λ(ω1,ω2)上的有界性.