Lectures (Video)

- 1. Introduction to numerical methods in engineering
- 2. Number representations
- 3. Error analysis
- 4. Roots of non-linear equations
- 5. Gaussian elimination
- 6. LU factorization
- 7. Special matrices
- 8. Iterative techniques
- 9. Root finding and linear systems
- 10. Optimization, Curve fitting
- 11. Interpolation, Splines
- 12. Fourier interpolation
- 13. Numerical integration
- 14. Numerical differentiation, Euler's method
- 15. Runge-Kutta methods
- 16. Boundary value problems
- 17. Partial differential equations
- 18. Parabolic equations
- 19. Elliptic equations
- 20. Finite element methods
- 21. Boundary element methods
- 22. Review

## Numerical Fluid Mechanics

### Course Summary

This course is based on

This course provides an introduction to numerical methods. These include number representation and errors, interpolation, differentiation, integration, systems of linear equations, and Fourier interpolation and transforms. Students will study partial and ordinary differential equations as well as elliptic and parabolic differential equations, and solutions by numerical integration, finite difference methods, finite element methods, boundary element methods, and panel methods.
*2.29 Numerical Fluid Mechanics (Numerical Marine Hydrodynamics), Spring 2007*made available by*Massachusetts Institute of Technology: MIT OpenCourseWare*under the*Creative Commons BY-NC-SA*license.### Reading Material

1.**Textbook: Numerical Methods for Engineers**

Chapra, Steven C., and Raymond P. Canale.

*Numerical Methods for Engineers.*5th ed. Boston, MA: McGraw Hill, 2006. ISBN: 9780073101569. (Required textbook)

2.

**Applied Numerical Methods with MATLABĀ® for Engineers and Scientists**

Chapra, Steven C. Applied Numerical Methods with MATLABĀ® for Engineers and Scientists. 2nd ed. New York, NY: McGraw-Hill Companies Inc., 2007. ISBN: 9780071259217.

(Click the button below to see a preview the 2004 edition of the book)

### Course Material

Not available.### Other Resources

1.**Numerical methods for engineers and scientists**

Joe D. Hoffman,

*Numerical methods for engineers and scientists*Edition 2, CRC Press, 2001, ISBN: 9780824704438

(Click the button below to see a preview of the book)

### Software

Not available.### Discussion Forum

For discussion on this topic, please go to the relevant forum for Numerical Fluid Mechanics. Click the button below to open the forum page in a new window.