基本解释：德拜渐近展开
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An asymptotic expansion formula of Sikkema operators on the simplex;单纯形上Sikkema算子的一种渐近展开公式
By introducing extended variables and using the theory of differential inequality,the uniformly effective asymptotic expansion is obtained under appropriate conditions.文中揭示了其解呈现双重层性质,即奇摄动问题的解在该区域内呈现不同“厚度”的初始层性质;在适当的假设条件下,通过引进不同量级的伸长变量,构造不同“厚度”的初始层校正项,并利用微分不等式理论,得到了解的任意次近似的一致有效的渐近展开式。
The asymptotic expansion term of remainder term for error of inequality distance first kind cubic spline interpolating function is advanced using interpolation method for basic spline.利用基样条插值方法,给出非等距三次样条(Ⅰ)型插值函数余项渐近展开式。
For the elliptic partial differential equations of variable coefficient,we obtain the product theorem of asymptotic expansions of energy integral as follows:B(w,v_h)=∑ni=1h~(2i)_e∫_ΩF_i(D~(2i-2)_x(v_(xx)φ))v_hdxdy+∑nj=1k~(2j)_e∫_ΩG_j(D~(2j-2)_y(u_(yy)φ))u_hdxdy+∑ni+j=2h~(2i)_ek~(2j)_e∫_Ω[F_(ij)(D~(2i-2)_xD~(2j)_y(u_(xx)φ))+G_(ij)(D~(2i)_xD~(2j-2)_y(u_(yy)φ))]v_hdxdy+R_(n,h).针对变系数椭圆型方程矩形元,证明了能量积分的渐近展开具有如下的乘积定理:∫Ω∫Ωk2jh2iFi(D2i-2Gj(D2j-2B(w,uh)=∑ny(uyyφ))vhdxdy+ex(uxxφ))vhdxdy+∑nei=1j=1∫Ω∑nh2i[Fij(D2i-2eek2jxD2j-2y(uyyφ))]vhdxdy+Rn,h。
An analysis of asymptotic expansions of iterated Galerkin methods for eigenvalue problems of the second kind Fredholm integral equations is presented.讨论了第二类 Fredholm积分方程特征值问题迭代 Galerkin方法的渐近展开 ,并在此基础上分析了Richardson外推方法。
In this paper,we obtained item-by-item asymptotic expansions of two kind quadratic spline interpolation.本文给出了二次样条在两类端点条件下插值误差的逐项渐近展开结果，从而获得插值误差关于步长ｈ的级数表示式。
By using the Lindatedt-Poincare method,introducing the transformation of parameter and eliminating the secular terms in the formal solution,the first order uniformly valid asymptotic expansion is obtained.讨论了一类二阶弱非线性常微分方程,利用Lindstedt-Poincare法,引入参量变换,消去形式解中出现的长期项,得到了解的一阶一致有效的渐近展开式。
In this paper,the author discusses the multi-layer solution with two special limits in boundary layer of the singularly perturly boundary value problem and obtains uniformly valid zero order asymptotic expansion by using the matching asymptotic expanding method.利用匹配渐近展开法 ,讨论了奇摄动边值问题中边界层内存在有两个特异极限的多层解 ,得出了奇摄动边值问题的一致有效的零次渐近展开
Under a given assumption, the author of this paper obtained the uniformly powerful asymptotic expansion of M order and made an estimation of the remainder in asymptotic series.研究拟线性双曲型方程柯西问题，在一定假设下，得到解的Ｍ阶一致有效的渐近展开式，并作出余项估计。
Edgeworth Expansions and Power Loss of Tests检验的渐近展开和功效损失(英文)
Edgeworth expansion of random weighting estimation in semi-parametric regression model半参数回归模型随机加权估计的渐近展开
Integral Solutions to the Second-Order Linear Equations and the Solution of Asymptotic Expansion;一类二阶线性方程的积分解与解的渐近展开式
Asymptotic Expansions of Iterated Galerkin Methods for Eigenvalue Problem of Fredholm Integral Equations;Fredholm积分方程特征值迭代Galerkin方法的渐近展开(英文)
An Asymptotic Expansion for Quasi-liner Singular Perturbation Problem of Hyperbolic-Parabolic Partial Differential Equation双曲-抛物奇异摄动问题的O(ε~n)阶渐近展开
The Edgeworth Expansion for the Random Weighting Estimate of the Sample Variance--Not the Independent Identicaly Distribution Case方差估计的随机加权分布的渐近展开——非独立同分布情形
Multiscale Asymptotic Expansion and Finite Element Methods for Periodic Composite Materials Hyperbolic Type Wave Problems;周期复合材料双曲型波动问题多尺度渐近展开和有限元解法
Multiscale Asymptotic Expansion for Composite Materials Heat Transfer Problems and Mixed Finite Element Method;复合材料热传导问题的多尺度渐近展开及混合元方法
A Finite Difference Scheme for Singularly Perturbed Problems by Incorporation of Asymptotic Approsimations;渐近展开法与差分格式相匹配求解奇异摄动问题
Estimate 's asymptotic extension of nonlinear random effect model with right censored data带右删失数据非线性随机效应模型参数估计的渐近展开
Using the perturbation theory and perturbative method, the uniformly valid asymptotic expansions of the solution for a class of ENSO model are obtained easily.利用摄动理论和方法,较简便地得到了一类ENSO模型解的一致有效的渐近展开式.
An Asymptotic Expansion and Its Covergence Analysis for Small Periodic Composite Materials Steady Heat Transfer Problems with Nonhomogeneous Boundary;小周期型复合材料非齐次边界稳态热传导问题的渐近展开和收敛性分析
A Multiscale Asymptotic Expansion and its Convergence Analysis for the Wave Propagation Problem in Small Periodic Composite Materials小周期复合材料波传播问题的一个多尺度渐近展开式及其收敛性分析
Study on the approximate deployment theory of the reducible elbow pipe in the sheet metal process钣金工艺中渐缩管弯头的近似展开理论研究
Structure topological optimization design with displacement constraints based on the approximation of moving asymptotes基于移动渐近线展开式的结构位移拓扑优化
The story gradually unfolded itself.故事 (的情节) 渐渐地展开。
Spur gear axial modification and approximate calculation of involute rolling length直齿圆柱齿轮齿向修形及渐开线展开长度的近似计算
Two-scale formal asymptotic expansions for media with small periodic perforated configuration with diffusion周期孔洞区域中渗流问题双尺度渐近形式展开式(英文)
