Peter Alfeld, --- Department of Mathematics, --- College of Science --- University of Utah

Numerical Analysis Notes

• Karmarkar's Method for linear programming problems.
• Least Squares Problems via the QR factorization.
• Quasi-Newton Methods for the solution of nonlinear systems of equations and unconstrained optimization problems.

The following seven sets of notes all deal with the solution of initial value problems of ordinary differential equations.

1. A simple model of stability .
2. Adaptive Quadrature
3. Linear Multistep Methods for initial value problems of ordinary differential equations.
4. Predictor-Corrector Methods for the solution of non-stiff initial value problems of ordinary differential equations.
5. Stiff ordinary differential equations.
6. Variable-Step-Variable-Order (VSVO) methods
7. Runge-Kutta Methods

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