The solving process of the d ' alembert ' s differential equation using fourier ' s triple integral transform method 用重傅氏积分变换法求解达朗贝尔方程
5 . without making the paraxial approximation , a detailed study on the propagation of ultrashort pulsed bessel beams in linear normal and anomalous dispersive media has been performed using the method of fourier transform 未作近轴近似的条件下,用傅立叶积分变换法详细研究了超短脉冲贝塞尔光束在正、负色散介质中的传输特性。
( 5 ) discuss some mathematical models of the pollutant transport problems in some local river flow fields . by integral transform method , the paper establishes the usual finite difference approximation scheme to solve the numerical solutions and gives examples for the computation of the approximating solutions , moreover , discusses one - dimensional characteristic finite difference method for a convection - diffusion equation under usual conditions ( 5 )针对水域中污染物输移问题的数学模型,通过积分变换法,得到了简化模型在理想化条件下的近似精确解,同时给出数值算例,并且对非理想化条件下模型的特征差分方法进行了讨论。
The condition under which higher - order dispersive effects can be neglected is also discussed with numerical examples . 6 . based on the fourier optics , the focusing of ultrashort pulses by a silica lens in both cases of constant beam waist and constant diffraction length is studied considering dispersion of first , second and higher order , respectively 6 ,使用傅立叶积分变换法,在考虑透镜色差和高阶色散效应的较为一般情况下,分别研究了等束宽超短脉冲高斯光束和等衍射长度超短脉冲高斯光束通过硅玻璃透镜的聚焦特性。
The difference between these two algorithms is that the former uses sub - domain as the basic unit of task to be allocated and the latter uses the node - super - row as the basic unit of task . ( 6 ) the original problem is transformed into transformed domain by using laplace transform method . by the parallelization of the bem in the transformed domain , the parallelization of the elasto - dynamic be analysis is implemented by introducing the time related fimdamental solution , the time dependency is released from the formation of time - domain be equations ( 6 )通过拉氏积分变换法将弹性动力问题转换至变换域,通过变换域上边界元的分布并行处理实现了弹性动力边界元分析的并行化;引入与时间有关的基本解,解除了时域边界元系统方程组形成阶段的时间顺序依赖性,通过矩阵向量运算的分布并行处理实现方程组时间步进求解方法的并行化,这种方法是一种部分时间并行算法。
积分变换: integral transformation; int ...法: law积分变换: integral transformation积分变换的核: kernel of an integral transform一个积分变换: transform of an integral有限积分变换: finite integral transform傅里叶积分变换: fourier integral transform积分变换控制工程: integral transformation & mathematical equations; integral transformation control engineering数理方程积分变换: integral transmission of mathematical equation; mathematical equations复变函数与积分变换: complex variables functions; function of complex variable and integral transform; functions of complex variables & integral transformations; functions of complex variables &integral transformations积分变换及数理方程: integral transformation & mathematical equations积分变换与动力工程: integral transformation control engineering; integral transforms & dynamic engineering变换法: alternate method; converter technique; transformation approach积分变量: integration variable积分变数: integration variable; variable of integration部分变换式: partial transform一阶分变换: first difference transformation主成分变换: principal component conversion保角变换法: conformal mapping method标度变换法: scale transformation布氏变换法: bliss transformation尺度变换法: scale transformation反变换法: inverse transformation method基数变换法: radix transformation method图形变换法: graphical transform