Advanced Numerical Analysis: Course Outline (MAT-633)
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Course Outline
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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by Rao, G Shanker
ISBN 9788122422955
Date of publication 2006 -
by Bultheel, Adhemar
Cools, Ronald
ISBN 9789812836267
Date of publication 2009 -
by Epperson, James F.
ISBN 9781118407462
Date of publication 2013