多重积分

Monte-Carlo算法求解多重积分及改进

Monte-Carlo Method for Calculating Multiple Integral and Its Optimized Method

《无限曲》及其影响计算无穷限多重积分的一种有效算法

Effective method and program of the approximate calculation of infinite multiple integral

多重积分Nash平衡点的Lipschitz估计

Lipschitz estimates of Nash equilibria for variational integrals

某类多重积分变分问题的全局Lipschitz连续性关于一类扩散过程的随机变分计算

Global Lipschitz Continuity for Certain Problems in the Calculus of Variation of Multiple Integrals Stochastic Calculus of Variation for a Class of Diffusion Processes

于是很多学者考虑用简单的表达式来代替多重积分具有高度非线性属性的碰撞项而得到模型方程式，近似求解Boltzmann方程。

Thus , it has been suggested that the Boltzmann equation should be solved by using the simple model equations approximately instead of the original collision term .

本文提供求解非相似双电荷交换跃迁（DCX）非线性积分问题的一种分析模型和分解方法。此分解方法提供一个有效的计算程序，用于求解能源研究中一（大）类非线性多重积分问题。

An analytical model and a decomposition method are proposed for solving the nonlinear integration problem of Double Charge Exchange transition ( DCX ) .

计算多重积分的蒙特卡罗方法与数论网格法

Monte-Carlo and number theory grid method for calculating multiple integrals

关于多重积分的近似计算重积分的一种降维算法

On the numerical integration of a kind of multiple integrals

本文讨论含有多重积分环节的无自平衡系统的辨识问题。

This paper deals with the identification of nonself-balanced system with multiple integral link .

多重积分数值方法研究

Numerical research of multiple integral

对多重积分数值计算的研究现状（包括理论、算法、程序）进行了综合评述，通过大量例子的数值计算对他们作了比较和讨论。

The methods , algorithms and computer codes presently available for numerical calculation of multiple integrals are reviewed .

得到了一类多重积分的计算公式，并运用数学归纳法给出了证明。

Using multiple integral to prove a generalization of Pythagoras theorem and to calculate the Moivre s integral .

另一个困难是如何有效地计算目标满意度和约束满足度表达式中的多重积分。

Another problem is how to calculate the multiple integration in the expression of the satisfactory degrees of objective and constraint .

给出蒙特卡罗方法和数论网格法计算多重积分的步骤、实例，并对这2种方法进行比较。

Monte-Carlo and number theory grid method are applied to calculate multiple integrals . A comparison of both the methods is given .

本文从非线性粘弹性物质的多重积分型本构方程出发，引入塑性应变，推导了粘弹塑性物质的微分型本构方程。

Introducing the plastic strain the differential constitutive equation for viscoelastic and plastic materials is deduced from multi-integral constitutive equation for nonlinear viscoelastic materials .

本文介绍了用于现场条件下在时域内识别模态参数的多重积分模型。

In this paper , multiple integral model which is suitable for the identification of modal parameters on field conditions in time-domain is investigated .

给出了一种递归方法，用于多重积分数值计算。在处理高维积分时，这种方法编程实现容易，避开了推导三重及其以上积分近似计算公式。

A recurrence method of estimating multivariable integral is presented , which makes the programming easy and eliminates derivation of 3-subdivisional , integral and approximate equation .

然后，分析了滞后时间的估计方法，并且研究基于多重积分运算的估计方程的推导方法，以及处理由未知初始条件引起的问题的思路。

Secondly , after finding methods to identify the delay time and obtaining estimating equation by multiple integration operation , the idea of processing unknown initial conditions is discussed .

本文用例子说明在多重积分换序问题中，如何用分析方法确定积分限。

By several examples , we illustrated how to use the analytical method to determine the limits of integral in the problem on exchanging the order of multiple integral .

文献[1]中给出了一类求无穷级数的和的概率解法，文章介绍了一种推广，并给出[1]中遗留的一类求多重积分极限问题的解答。

The essay provides a probability solution to a kind of infinite progression , and intends to popularize it that this text will introduce in documents [ 1 ] , providing [ 1 ] the answer of hitting the leftover problem .

通过引入简化假设首先建立起问题的方程，然后借助于多重积分变换方法获得了发射换能器与接收换能器输入－输出关系的频域显式表达式。

Introducing some assumptions , the equations of motion of the problem are first developed . Then , by using multiple integral transform method , the explicit expression for the input output of the transmitting and receiving transducers is obtained in the frequency domain .

为此对信号进行多重积分，求取一个计算周期内载体姿态变化的旋转矢量表达式，从而得到一种新的信号处理方法，并讨论了其工程实现方案。

For this reason the multiple integration is carried out for signal . A new signal processing method is obtained through looking for a rotary vector expression for the variation of the carrier attitude within a calculation period and its engineering implementing scheme is discussed .

关于多重G积分

On multiple G - integral

多重Poisson积分的乘积公式

The Product Formula for the Multiple Poisson Integrals

计算多重广义积分的一种有效方法和程序

Effective Method and Program of the Approximate Calculation of Multiple Improper Integral

计算结果表明，在给定初始接触压力分布的前提下，与传统计算方法相比，多重网格积分法能在极短的时间内得到弹性变形解。

The results show that for given contact pressure distribution , the surface displacement can be obtained in extremely reduced computing time compared with the conventional technique .

多重共轭Fourier积分的临界阶Bochner&Riesz平均对可微函数的逼近

Approximation for differentiable functions by Bochner-Riesz means of multiple conjugate Fourier integrals at critical index

关于多重共轭FOURIER积分的RIESZ球平均（Ⅰ）

On Riesz spherical means of conjugate multiple Fourier integral ( I )

这篇文章讨论了多重共轭Fourier积分临界阶的Riesz球形平均，改进了[1]中的主要定理，建立了Lebesgue&Gergen型定理。

This paper deals with Riesz spherical means of conjugate multiple Fourier integrals at the critical index , then improves a main theorem of [ 1 ] and establishes a Lebesgue & Gergen type theorem .

本文研究多重共轭Fourier积分的临界阶Bochner-Riesz平均对Sobolev空间L1~1（1R~n）中的函数在全测度集上的逼近，得到的逼近阶为0（R~（-1）logR）。

In this paper we consider the approximation for functions in Sobolev space L11 ( Rn ) on set of full measure by Bochner-Riesz means of multiple conjugate Fourier integrals at critical index . The approximation order obtained here is o ( R-1 logR ) .