Laguerre polynomials and the inverse Laplace transform using discrete data
Ngoc Lien, Tran ; Duc Trong, Dang ; Pham Ngoc Dinh, Alain
HAL, hal-00098062 / Harvested from HAL
Text on HAL
We consider the problem of finding a function defined on $(0,\infty)$ from a countable set of values of its Laplace transform. The problem is severely ill-posed. We shall use the expansion of the function in a series of Laguerre polynomials to convert the problem in an analytic interpolation problem. Then, using the coefficients of Lagrange polynomials we shall construct a stable approximation solution.
Publié le : 2008-07-05
Classification:  regularization,  Inverse Laplace transform,  Laguerre polynomials,  Lagrange polynomials,  ill-posed problem,  regularization.,  44A10, 30E05,33C45,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00098062,
     author = {Ngoc Lien, Tran and Duc Trong, Dang and Pham Ngoc Dinh, Alain},
     title = {Laguerre polynomials and the inverse Laplace transform using discrete data},
     journal = {HAL},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00098062}
}

Ngoc Lien, Tran; Duc Trong, Dang; Pham Ngoc Dinh, Alain. Laguerre polynomials and the inverse Laplace transform using discrete data. HAL, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/hal-00098062/