Global in time inversion of Laplace transforms associated to evolution problems
- Speaker: Prof. Dr. Maria López-Fernández
- Place: SR 1.067 and via Zoom
- Time: 15.9.2022, 14:00 - 15.9.2022, 15:00
- Invited by: Prof. Dr. Marlis Hochbruck
We revisit the problem of approximating a mapping defined for $t>0$ from knowledge of its Laplace transform in appropriate regions of the complex plane.
The goal is to devise a unique quadrature which is accurate and efficient to approximate the inverse Laplace transform in large intervals of the form $(t_0,T)$, with $T$ much larger than $t_0$. In this way, we can obtain a continuous output of the function of interest. Straightforward applications to the time integration of evolution problems will be discussed, together with applications\nto the efficient implementation of convolution quadrature methods.