MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015 (English)

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Lecture 1: 5. Eigenvalues and Eigenvectors

Lecture 2: 6. Singular Value Decomposition; Iterative Solutions of Linear Equations

Lecture 3: 7. Solutions of Nonlinear Equations; Newton-Raphson Method

Lecture 4: 8. Quasi-Newton-Raphson Methods

Lecture 5: 9. Homotopy and Bifurcation

Lecture 6: 11. Unconstrained Optimization; Newton-Raphson and Trust Region Methods

Lecture 7: 12. Constrained Optimization; Equality Constraints and Lagrange Multipliers

Lecture 8: 13. ODE-IVP and Numerical Integration 1

Lecture 9: 16. ODE-IVP and Numerical Integration 4

Lecture 10: 18. Differntial Algebraic Equations 2

Lecture 11: 19. Differntial Algebraic Equations 3

Lecture 12: 20. Boundary Value Problem 1

Lecture 13: 21. Boundary Value Problems 2

Lecture 14: 22. Partial Differential Equations 1

Lecture 15: 25. Review Session

Lecture 16: 21. Boundary Value Problems 2

Lecture 17: 22. Partial Differential Equations 1

Lecture 18: 25. Review Session

Lecture 19: 30. Models vs. Data 3

Lecture 20: 33. Monte Carlo Methods 2

Lecture 21: 34. Stochastic Chemical Kinetics 1

Lecture 22: 35. Stochastic Chemical Kinetics 2

Lecture 23: 36. Final Lecture