Publications in Scientific Journals:
W. Auzinger, J. Burkotova, I. Rachunkova, V. Wenin:
"Shooting methods for state-dependent impulsive boundary value problems, with applications";
Applied Numerical Mathematics,
128
(2018),
217
- 229.
English abstract:
For impulsive boundary value problems whose solutions encounter disconti-nuities (jumps) at a priori not known positions depending on the solution itself, numerical methods have not been considered so far. We extend the well-known shooting approach to this case, combining Newton iteration with the numerical solution of impulsive initial value problems. We discuss condi-tions necessary for the procedure to be well-de˝ned, and we present numerical results for several examples obtained with an experimental code realized in MATLAB.1
Keywords:
nonlinear boundary value problems, state-dependent impulses, shooting method
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.apnum.2018.02.006
Created from the Publication Database of the Vienna University of Technology.