## Detection of the singularities of a complex function by numerical approximations of its Laurent coefficients

- Mariarosaria Rizzardi
- Numerical Algorithms
- 2017

We consider the problem of estimating numerically the parameters of singularities of solutions of differential equations. We propose a novel approach which is based on discretizing the governing equation and "timestepping" in the complex domain. Some applications to ordinary and partial differential equations are discussed.