It is shown that this approximation is more satisfactory than the block-pulse approximation. Two illustrative examples are given.CHING-TIENDepartmentLlOUDepartment&DepartmentYI-SHYONGDepartmentCHOUDepartmentInformaworldInternational Journal of Systems Science...
It must be noted that the Dirac delta function which describes the moving load in the time domain becomes a spatially distributed load in the Laplace domain, as can be seen in Eq. 14. Because of the spatial variation of the foundation stiffness and damping, Eq. (13) cannot be solved anal...
In addition, σ in (7) is a polynomial function of X , and hence is also C1 in X – thus, solution (7) exists from Proposition 2.9. Note that any piecewise-tunneled captive process {Xt }t∈T is a (P, {FtX })-semimartingale given that μ has locally bounded variation. Then the ...
In this paper, based on finite-element time-domain, combined total-field and scattered-field decomposition technique, the weak form solution equations including electric field E and convolution function ψ for dispersive media are described, and then the plane wave in total-field region containing ...
Find the Laplace transform of g(t)=L−1G(t) when G(s)=1−e−ss+2 and create a piecewise definition of the solution. Laplace Transforms: Laplace transform is the integral of any function by which it converts the variable f...
From the computational point of view, the scale function approach can rely on the vast literature of Laplace transform methods, which has grown extensively over the last few years, and has found numerous applications in option pricing (e.g.: Duffie et al., 2000; Lee, 2004) and integro-...
Atrial function U ∈ W is continuous fromthe left at each time level t n , and we denote the left-hand limit, right-hand limit and jump at t n by U n := U(t n ) = U(t − n ), U n + := U(t + n ), [U] n := U n + −U n , respectively. The weak formof...
This makes numerical methods that use the Laplace transform more challenging. This paper generalizes an existing method for approximating heavy-tailed distributions, for use in queueing analysis. The generalization involves fitting Chebyshev polynomials to a probability density function g(t) at specified ...
Numerical Analysis and Applied Mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied MathematicsA. Araujo, C. Neves, E. Sousa, A Laplace transform piecewise linearized method for a second order hyperbolic equation, AIP Conference Proceed- ings, 1479: 2187-2190, 2012....
Second, since these methods introduced kernel function into the energy functional, they need to carry out more than one convolution operations for each iteration step, which is very time-consuming. In addition, these methods only applied local information to approximate the image intensity, but not...