Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving ...

Rule, optimization, Intermediate Value Theorem (O/Z) 2.6-2.7, 3.1-3.5, 4.2-4.3, 4.8(IVT only) yes W12 04/10/12 Greer Final: all from 02/10 and 03/16 exams (except optimization) plus Extreme Value ...

This is a preview. Log in through your library . Abstract This paper deals with the analysis of general one-step methods for the numerical solution of initial (-boundary) value problems for stiff ...

This is a preview. Log in through your library . Abstract We consider the numerical solution of boundary value problems for general neutral functional differential equations by the collocation method.

Properties of the real numbers, infimum and supremum of sets. Numerical sequences and series. Limits of functions, continuous functions, intermediate value theorem, uniform continuity. Differentiation ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...