Inverse Laplace transform

Based on the nodal admittance matrix of faulty transmission line in complex frequency domain , this paper applies another numerical inverse Laplace transform ( NILT ) to analyze the voltage response at the ends of transmission line .

本文应用分布参数故障传输线复频域布参数节点导纳方程和另一种数值拉普拉斯反变换方法，对故障传输线首末端电压响应进行了分析。

Base on inverse Laplace transform theory , author derived calculating method of a kind of inverse Chirp Z-transform .

本文从拉普拉斯逆变换入手，推导出了逆Chirpz变换的定量计算方法。

The solutions in time domain is established by the inverse Laplace transform .

通过对位移解进行Laplace逆变换，给出了竖向位移的时域解。

More effective method of F. Durbin is applied to realize inverse Laplace transform .

Durbin的方法实现Laplace逆变换。

Numerical Methods of Abel Inversion Numerical results in time domain are obtained by Durbin 's inverse Laplace transform .

Abel逆变换的数值算法运用Laplace数值逆变换得到时域中的解。

In the numerical calculation of electromagnetic transient response , the G S transform method is used frequently for inverse Laplace transform .

在电磁场瞬变响应的数值计算中，常采用GS变换法作逆拉氏变换。

And then to get the required eigenfunctions by apply the expansions of series and inverse Laplace transform .

用级数展开，再进行Laplace逆变换，得到其本征函数。

These operators are represented as a Laplace transform and a subsequent inverse Laplace transform of suitable functionals .

这些算符被表示成适当泛函的拉普拉斯变换及随后的逆拉普拉斯交换的形式。

Solution is presented in inverse Laplace transform . Some characters of one dimensional nonlinear consolidation of saturated soft clay under cyclic loads are explored .

通过Laplace逆变换，即可计算单层饱水地基在循环荷载作用下的非线性一维固结。

The Taylor approximation is employed in the frequency domain , then a set of recursive formulas is derived by the inverse Laplace transform .

在频域内，均匀传输线两端的电压电流满足一组简单公式，将这组公式利用Taylor级数进行近似，通过逆拉氏变换得到一组时域内的递归公式。

By using Durbin 's inverse Laplace transform method , the dynamic stress intensity factor in Laplace transform domain is transformed into the result in time domain .

采用Durbin反演法，将Laplace变换域中的动态应力强度因子转换为时域中的解。

The transformed domain solutions of the governing equations can be got through numerical method and the time domain solutions can be obtained by the inverse Laplace transform .

在Laplace变换域内对上述方程进行数值求解并进行相应的Laplace逆变换则可以得到时间域内任意时刻的解。

Model of fractional convection-dispersion of concentration distribution in groundwater pollution system is given . An analytical solution to the above problem is obtained by using fractional calculus theory and the discrete inverse Laplace transform method .

将分形动力学机制引入地下水污染系统，建立了污染源浓度分布的分数阶对流弥散模型，利用分数阶导数理论采用离散逆Laplace变换技巧及Fox函数给出了模型的精确解。

At last , by using the inverse Laplace transform over the time domain , combined with exponential difference plan , the FDTD iterative equation in discrete time-domain which are easy to solve can be obtained .

再进行拉普拉斯逆变换将其过渡到时域，结合指数差分进行离散，得到在时域易于求解的FDTD迭代方程。

The quasi-static behaviors of the viscoelastic Timoshenko beam with two sides of the beam are simply supported , and under step loading are analyzed by using Laplace transformation and the numerical inverse Laplace transform .

利用Laplace变换和Laplace数值逆变换，研究了两端简支损伤粘弹性Timoshenko梁在阶跃载荷作用下的准静态力学行为。

The regression equations of model parameters are derived from Inverse Laplace transform of transfer function and sampled data of step response . The ordinary least squares or the instrumental variable method are applied to direct identification of model parameters .

由传递函数的拉普拉斯逆变换式和对象阶跃响应的采样数据构成模型参数回归表达式，用最小二乘法或辅助变量法直接辨识对象的连续时间传递函数模型参数。

An analytical solution , represented by Hankle functions , is obtained by Laplace transform technique . Some numerical results are given by the inverse Laplace transform in the neighborhood of a circular and an elliptic cavity .

通过Laplace变换获得了用Hankle函数表示的解析解，再通过Laplace逆变换给出了圆腔及椭圆腔附近的DTSDC的数值计算结果。

The viscoelastic relaxation moduli in time domain are obtained by the inverse Laplace transform of the curve-fitted formulae . The method takes advantage of rational curve-fitted formulae and avoids complicated numerical inverse Laplace transform .

该方法利用合理的曲线拟合函数避开了复杂的数值Laplace逆变换，使得单向纤维增强复合材料的粘弹性性能的确定变得容易。

The transfer function was derived from the matrix function of axialy moving strings . Then the inverse Laplace transform , with the residue theorem , was employed to calculate the time domain response from the frequency domain response .

由轴向运动弦线的矩阵函数计算得到系统的传递函数，然后用留数定理计算传递函数的Laplace逆变换，这样就可以得到时域响应。

Using the coupled mode theory , the coupling equations of the two symmetry waveguides with LPWGs have been derived and solved by Laplace Transform Inverse Laplace Transform method . The solutions give out the output light power and the coupling coefficient of the two symmetry waveguides .

从模耦合理论出发，推导并建立了对称双波导LPWG耦合结构的耦合方程，通过拉普拉斯反演变换求解，得到了输出光功率函数和耦合系数的计算公式。

Vanishing for t < 0 . By using the complex contour integral inverse and discretization inverse of Laplace transform and the theories of Fox H functions , the solutions suitable for calculating large t and small t are given .

利用Laplace变换的复围道积分反演和离散化反演及FoxH函数理论，给出在计算上对大的t和小的t分别适用的解的表达式。