Lectures
- 1. Difference Methods for Ordinary Differential Equations
- 2. Finite Differences
- 3. One-way Wave Equation and CFL, von Neumann Stability
- 4. Comparison of Methods for the Wave Equation
- 5. Second-order Wave Equation
- 6. Wave Profiles, Heat Equation
- 7. Finite Differences for the Heat Equation
- 8. Convection-Diffusion, Conservation Laws
- 9. Conservation Laws, Analysis, Shocks
- 10. Shocks and Fans from Point Source
- 11. Level Set Method
- 12. Matrices in Difference Equations
- 13. Elimination with Reordering: Sparse Matrices
- 14. Financial Mathematics, Black-Scholes Equation
- 15. Iterative Methods and Preconditioners
- 16. General Methods for Sparse Systems
- 17. Multigrid Methods
- 18. Krylov Methods
- 19. Conjugate Gradient Method
- 20. Fast Poisson Solver
- 21. Optimization with constraints
- 22. Weighted Least Squares
- 23. Calculus of Variations
- 24. Error Estimates, Projections
- 25. Saddle Points
- 26. Two Squares, Equality Constraint
- 27. Regularization by Penalty Term
- 28. Linear Programming and Duality
- 29. Duality Puzzle, Inverse Problem, Integral Equations
Mathematical Methods for Engineers II - Lecture 23
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Lecture 23 - Calculus of Variations
Calculus of Variations / Weak Form
Prof. Gilbert Strang
18.086 Mathematical Methods for Engineers II, Spring 2006 (Massachusetts Institute of Technology: MIT OpenCourseWare) http://ocw.mit.edu Date accessed: 2009-05-04 License: Creative Commons BY-NC-SA |
