Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
by Uri M. Ascher, Robert M. M. Mattheij, Robert D. Russell · SIAM (Classics in Applied Mathematics 13)
The reference for actually computing BVP solutions: shooting and multiple shooting, finite differences, collocation, decoupling and dichotomy theory, mesh selection, nonlinear solvers and singular perturbations, with appendices giving sample multiple-shooting and collocation codes.
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