Lectures (Video)
- 1. Forward Divided Difference 1
- 2. Forward Divided Difference 2
- 3. Backward Divided Difference 1
- 4. Backward Divided Difference 2
- 5. Central Divided Difference
- 6. Higher Order Derivatives : Theory
- 7. Higher Order Derivatives : Example
- 8. Accuracy of Divided Difference Formulas 1
- 9. Accuracy of Divided Difference Formulas 2
- 10. Divided Difference Approach
- 11. Polynomial Interpolation Method
- 12. Newton's Divided Difference Polynomial Method: Theory
- 13. Newton's Divided Difference Polynomial Method: Example
Numerical Methods I
Course Summary
This course is based on Numerical Methods - Differentiation made available by Holistic Numerical Methods Institute, University of South Florida under the Creative Commons BY-NC-SA license.
This is a course on the basics of numerical methods and how they are used to solve scientific and engineering problems. It is accompanied by a comprehensive set of video lectures, presentation slides, textbook notes, worksheets and application examples. The lectures are in short segments of less than 10 minutes. Part I covers the numerical differentiation of continuous and discrete functions.
Reading Material
1. Numerical Methods with Applications - Chapter 2Author: Autar Kaw et al.
Publisher: http://www.autarkaw.com
Published: May 4, 2010
ISBN: 978-0-578-05765-1
Course Material
1. A primer on differential calculus2. Physical problem
How does the thermal expansion coefficient vary at different temperatures?
3. Test on numerical differentiation of continuous functions
Test your knowledge of numerical differentiation of continuous functions
4. Test on numerical differentiation of discrete functions
Test your knowledge of numerical differentiation of discrete functions
5. Comparing different methods
Comparing the Forward Divided Difference, Backward Divided Difference & Central Divided Difference
6. Effect of Significant Digits
Effect of Significant Digits on the Value of the Numerical Derivative
