Adaptive Multiple Shooting for Nonlinear Boundary Value Problems
Multiple shooting methods are time domain decomposition methods suitable for solving boundary value problems (BVP). They are based on a subdivision of the time interval and the integration of appropriate initial value problems on this subdivision. In certain critical cases, systematic adaptive techniques to design a proper time domain decomposition are essential. We extend an adaptive shooting points distribution developed in the 1980s for linear boundary value problems based on ordinary differential equations (ODE) to the nonlinear case.
T.C. was supported by the Deutsche Forschungsgemeinschaft (DFG) through the project CA 633/2-1.
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