Numerical Analysis

Prof. Richard B. Goldstein

Topic

1. Solutions of Equations (real roots only)
   • One variable
   • Two variables
   • Three variables
2. Interpolation
   • Neville's Method
   • Divided Differences
   • Natural Cubic Spline
   • Rational Polynomial
3. Numerical Differentiation
   • 3 pt, 5 pt, and Richardson's Extrapolation
4. Numerical Integration
   • Trapezoid, Midpoint, Simpson's rule, and Romberg's method
5. Differential Equations
   • Euler, Corrected Euler/Heun's Method, Runge-Kutta (4^th order)
   • Runge-Kutta only with a graph
6. Minimization of Multivariate Functions

Lectures

Disclaimers

Textbook references

Personal background

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