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1 When time domain solutions are required, the Laplace transform method is straightforward.

2 In this paper, Laplace transform is applied to solve a solution of mixed question which satisfies the second boundry condition of the wave equation.

3 Then by using multi-dimension Laplace transform, the computation formula of nonlinear transfer function matrices for MIMO bilinear system are deduced.

4 A Laplace transform finite element method for solving the dynamic coupled ther-moelasic bending problems of thin plates was proposed based on the variational principle of theProbems.

5 By using the Laplace transform technique, the one-dimensional analytical solution of dynamic response for biphasic saturated porous media.

6 By the relationship of Laplace transform and Z-transform, the ARMA time series model for this system is obtained.

7 To illustrate the partial fraction method, suppose that the inverse Laplace transform of the simple function is needed.

8 The author has discussed two integral transforms for 2.5-D transient electromagnetic forward modeling, namely, inverse Fourier transform and inverse Laplace transform.

9 The formula for the beam's impact force was deduced by using the Galerkin Principle and Laplace Transform.

10 In this paper, solution to improper integral has been got by using Laplace transform and inverse Laplace transform to improper integral with variable.

11 It will introduce the responses of the step,(www.Sentencedict.com) ramp and impulse input for mechanical and circuit systems by using Laplace transform.

12 Then the problems with constant water temperatures are solved by means of Laplace transform.

13 The testing curves of 200 wells are matched by using Laplace transform and inverse operation to determine the time-limit of each stage and the practical software is also edited.

14 At first, we get the integro-differential equation satisfied by the expected discounted penalty function by using the method of renewal, and hence Laplace transform of it is derived.

15 The analytical expressions for the dynamic stresses and perturbation of magnetic field vector are obtained by means of a finite integral transform and Laplace transform.

16 It is a pure real number operation and just needs calculations for a small number of values of Laplace transform variables (12 values for one sample time). So it is a rather rapid algorithm.

17 In addition, we also introduced a numerical algorithm of inverse Laplace transform, which only needs a few Laplace variables in pure real domain.

18 The vibration and sound radiation of a submerged spherical shell in the time-domain are studied by Laplace transform method, in which a pulse force is acted at the apex of the shell.

19 Beside this two models, this paper proposes the application of Laplace transform method to calculate the damping coefficients of pneumatic actuator motion.

20 It gives how to analyse the dynamic network Usmg the Laplace transform after doing the transform from time - domain to complex frequency domain.

21 The PK of the non-parenteral zero-order release and the first-order release was analyzed mainly by means of the Laplace Transform.

22 Based on the gas flowing equation, each unit dynamic mathematical model was established using linearization and Laplace transform.

23 Laplace transform pairs of typical signals can be looked up in the table of Laplace transforms. Laplace integral forms of some signals can be calculated with the table of integrals.

24 This paper is based on the operation matrix and develop a numerical inversion of Laplace transform method.

25 Lecture # 21 : Convolution formula: proof, connection with Laplace transform, application to physical problems.

26 Based on the limited momentum propagation velocity, this paper presents the solution of the transient momentum equation by laplace transform. The distribution functions of velocity and eddy are given.

27 The solutions of this model are determined using the Laplace transform with respect to time and a numerical Laplace inversion technique.