A multiple shooting algorithm for multipoint boundary value problems

An algorithm for first order nonlinear multipoint boundary value problems is presented. The new method is based on multiple shooting codes developed by Bulirsch and Oberle. In contrast to the earlier methods no transformations of the original problem, which cause a significant growth of the system, must be done. The result is a better performance of the code (less memory requirements, faster executing) and less programming effort. This approach allows the treatment of problems with a large number of variable interior points and the there defined jumps in the trajectories. In addition, a new method for computing derivatives with respect to initial values - needed for the Newton method -leads to a significant speedup of the code. (orig.)Available from TIB Hannover: RR 4594(17) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman