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Uedu Open / Numerical Methods Applied to Chemical Engineering
10.34

Numerical Methods Applied to Chemical Engineering

Prof. William Green, Prof. James W. Swan | Fall 2015
Data Science, Analytics & Computer Technology Computer Science Data Science Science & Math Mathematics Engineering Chemical Engineering Systems Engineering
Go to original course
CC BY-NC-SA 4.0
Course introduction
Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation. Topics: Numerical linear algebra, solution of nonlinear algebraic equations and ordinary differential equations, solution of partial differential equations (e.g. Navier-Stokes), numerical methods in molecular simulation (dynamics, geometry optimization). All methods are presented within the context of chemical engineering problems. Familiarity with structured programming is assumed.
Course Information
SourceMIT 開放式課程
DepartmentChemical Engineering
LanguageEnglish
Number of videos23
Course videos (23)
1
5. Eigenvalues and Eigenvectors
5. Eigenvalues and Eigenvectors
2
6. Singular Value Decomposition; Iterative Solutions of Linear Equations
6. Singular Value Decomposition; Iterative Solutions of Linear Equations
3
7. Solutions of Nonlinear Equations; Newton-Raphson Method
7. Solutions of Nonlinear Equations; Newton-Raphson Method
4
8. Quasi-Newton-Raphson Methods
8. Quasi-Newton-Raphson Methods
5
9. Homotopy and Bifurcation
9. Homotopy and Bifurcation
6
11. Unconstrained Optimization; Newton-Raphson and Trust Region Methods
11. Unconstrained Optimization; Newton-Raphson and Trust Region Methods
7
12. Constrained Optimization; Equality Constraints and Lagrange Multipliers
12. Constrained Optimization; Equality Constraints and Lagrange Multipliers
8
13. ODE-IVP and Numerical Integration 1
13. ODE-IVP and Numerical Integration 1
9
16. ODE-IVP and Numerical Integration 4
16. ODE-IVP and Numerical Integration 4
10
18. Differntial Algebraic Equations 2
18. Differntial Algebraic Equations 2
11
19. Differntial Algebraic Equations 3
19. Differntial Algebraic Equations 3
12
20. Boundary Value Problem 1
20. Boundary Value Problem 1
13
21. Boundary Value Problems 2
21. Boundary Value Problems 2
14
22. Partial Differential Equations 1
22. Partial Differential Equations 1
15
25. Review Session
25. Review Session
16
26. Partial Differential Equations 2
26. Partial Differential Equations 2
17
27. Probability Theory 2
27. Probability Theory 2
18
28. Models vs. Data 1
28. Models vs. Data 1
19
30. Models vs. Data 3
30. Models vs. Data 3
20
33. Monte Carlo Methods 2
33. Monte Carlo Methods 2
21
34. Stochastic Chemical Kinetics 1
34. Stochastic Chemical Kinetics 1
22
35. Stochastic Chemical Kinetics 2
35. Stochastic Chemical Kinetics 2
23
36. Final Lecture
36. Final Lecture