Abstract:
Quadrature rules for Laplace transform inversion are studied that are adapted to the inversion of transforms corresponding to slowly varying long processes characteristic of linear viscoelasticity problems. The convergence of special quadrature rules for Laplace transform inversion is proved.
Key words:Laplace transform, Laplace transform inversion, quadrature rules, convergence of quadrature rules, linear viscoelasticity problem, singular kernels.