Theory and implementation of numerical methods for initial and boundary value problems in ordinary differential equations. One-step, linear multi-step, Runge-Kutta, and extrapolation methods; consistency, convergence, stability, error estimates, and practical implementation, Study and analysis of shooting, finite difference, spline and projection methods, collocation methods, Rayleigh-Ritz and Galerkin methods. for boundary value problems for ordinary differential equations.
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