OUTLINE OF MATH4446---S. Adjerid
I. Interpolation and Approximation
- Interpolation
- Review, Taylor series, sec 1.1
- Lagrange Interpolation, sec. 3.1
- Divided differences and Newton polynomials, sec. 3.2
- Error of polynomial interpolation, sec 3.1, 3.3
- Chebyshev polynomials, sec 8.3
- Hermite interpolation, 3.4
- Piecewise-polynomial interpolation, sec 3.5
- Cubic spline interpolation, sec. 3.5
- Approximation
II.Numerical Differentiation and Integration
III. Solution of Differential Equations