APPLICATION OF GLOBAL METHODS IN PARALLEL SHOOTING

A new divide and conquer method is proposed. It employs a coarse grid discretization like multiple shooting does, but solves the local probl ems in a ''BVP-way.'' i.e., by some global method. A sophisticated err or control is developed to combine local and global convergence of the Newton updating. An implementation based on using the collocation cod e COLNEW is briefly discussed and a number of examples are given to il lustrate the success of the method, in particular for singular perturb ation problems.