W. Auzinger, J. Burkotova, I. Rachunkova, V. Wenin:

"Numerical exploration of impulsive boundary value problems";

Talk: Workshop on Numerical Solution of Integral and Differential Equations (NSIDE 2019), Gdansk (invited); 2019-07-17 - 2019-07-19.

For the numerical solution of boundary value problems with state-dependent impulses,

i.e., discontinuities in the solution or its derivative at a priori unknown points,

applying shooting methods is a natural approach. In each step of the shooting iteration

this involves the numerical integration of an impulsive initial value problem.

We show that such a procedure is well-defined under natural conditionson the problem data. Several examples are presented;

we also demonstrate how to adapt this approach to determine the period of a predator-prey model with impulsive effect.

Created from the Publication Database of the Vienna University of Technology.