Euler 方法被用作 Heun 方法的基础。 Euler 的方法使用函数在区间开始处的切线作为函数在区间上的斜率的估计,假设如果步长小,误差就会小。 然而,即使使用极小的步长,在大量的步长上,误差开始累积,估计与实际功能值不同。 例子: 输入x 的初始值,即 x0: 0 输入y 的初始值,即 y0:0.5 输入x 的最终值:2 ...
Hung s modified filtration counting method洪氏浮集法 相似单词 Euler欧拉(①姓氏 ②Leonhard, 1707-1783, 瑞士数学家, 物理学家) eulern. 欧拉(姓氏,瑞士数学家) EULER【计】 欧拉 modifiedadj. 改良的 metal modified金属改性的 methodn. 1.[C]方法,办法 2.[U]秩序,条理,规律 ...
式(34),(35)可由改良之尤勒法(modified Euler method)来解得某一时段每一环节的流量及水头。 (37) (39) (2)TRANSPORT部 … hysearch.wra.gov.tw|基于2个网页 3. 修正之尤拉法 二式可写成差分方程式,再以修正之尤拉法(Modified Euler Method) 解得某一时段每一环节之流量及水头。(二)稳定性条件限制 ...
A modified Euler's method applied on a graded mesh is considered for numerical solution of a class of Volterra integral equations with weakly singular kernel which depends on a parameter μ > 0. It is shown that the convergence rate of the considered method is higher than those of earlier ...
4) explicit Euler method 显式尤拉方法 1. The easiest way to create animation with the mass-spring model is the explicit Euler method, but the method has a serious weakness of its instability. 显式尤拉方法是使用 MS模型来产生动态效果的最简单方法 ,但该方法的严重缺陷在于算法本身的不稳定性 ...
Numerical solution of fuzzy delay differential equations under generalized differentiability by Euler's method In this paper, we interpret a fuzzy delay differential equations using the concept of generalized differentiability. Using the Generalized Characterization Theorem, we investigate the problem of findin...
5) Euler method 欧拉法 1. The purpose of this paper is compare the Euler method and the Runge-kutta method in obtaining the solution of the Lagrange equation for oil spill trajectories by numerical experiments,and to apply the Lagrange trajectories model to forecasting the spill caused by oil...
In Section 4.1, the method of multiple scales is applied to linear problems, and the resulting asymptotic expansions are added to all orders in order to obtain the (natural) analytical continuation of the solution of the Euler forward difference method. This important result validates the use of...
Park, S.K., Gao, X.L.: Bernoulli-Euler beam model based on a modified couple stress theory. J. Micromech. Microeng. 16, 2355–2359 (2006). https://doi.org/10.1088/0960-1317/16/11/015 Article MATH Google Scholar Ma, H.M., Gao, X.L., Reddy, J.N.: A microstructure-dependent...
The fundamental frequency is determined by applying Hamilton’s principle and Rayleigh’s method. A formula for calculating the buckling force is subsequently introduced. Numerical simulations were conducted to analyze the impact of the material properties, tapered tip length, core thickness, slenderness ...