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 ...

Iterated deferred correction methods have been very widely used for the numerical solution of general nonlinear two-point boundary value problems in ordinary differential equations. However, there may ...

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 ...

It is proved that the order of convergence is the same as the order of consistency if the method has a property called order-stability. The usefulness of the theory is demonstrated by analyses of ...

Numerical Solution of Systems of Linear Equations, Iterative Methods Formulation and analysis of basic stationary methods e.g. Gauss-Jacobi, Gauss-Seidel. The numerical solution of Poisson's equation.