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Application of Global Methods in Parallel Shooting

M. E. Kramer and R. M. M. Mattheij
SIAM Journal on Numerical Analysis
Vol. 30, No. 6 (Dec., 1993), pp. 1723-1739
Stable URL: http://www.jstor.org/stable/2158066
Page Count: 17
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Application of Global Methods in Parallel Shooting
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Abstract

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

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