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Course10.3423 lectures19 h 47 min

Numerical Methods Applied to Chemical Engineering

Prof. William Green, Jr. and Prof. James W. Swan · Massachusetts Institute of Technology

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About

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.

Lectures

Class Videos

  1. Session 5: Eigenvalues and Eigenvectors 54 min · Video
  2. Session 6: Singular Value Decomposition; Iterative Solutions of Linear Equations 48 min · Video
  3. Session 7: Solutions of Nonlinear Equations; Newton-Raphson Method 46 min · Video
  4. Session 8: Quasi-Newton-Raphson Methods 52 min · Video
  5. Session 9: Homotopy and Bifurcation 54 min · Video
  6. Session 11: Unconstrained Optimization; Newton-Raphson and Trust Region Methods 54 min · Video
  7. Session 12: Constrained Optimization; Equality Constraints and Lagrange Multipliers 51 min · Video
  8. Session 13: ODE-IVP and Numerical Integration 1 49 min · Video
  9. Session 16: ODE-IVP and Numerical Integration 4 55 min · Video
  10. Session 18: Differential Algebraic Equations 2 56 min · Video
  11. Session 19: Differential Algebraic Equations 3 56 min · Video
  12. Session 20: Boundary Value Problem 1 52 min · Video
  13. Session 21: Boundary Value Problems 2 55 min · Video
  14. Session 22: Partial Differential Equations 1 50 min · Video
  15. Session 25: Review Session 56 min · Video
  16. Session 26: Partial Differential Equations 2 52 min · Video
  17. Session 27: Probability Theory 2 54 min · Video
  18. Session 28: Models vs. Data 1 55 min · Video
  19. Session 30: Models vs. Data 3 51 min · Video
  20. Session 33: Monte Carlo Methods 2 51 min · Video
  21. Session 34: Stochastic Chemical Kinetics 1 54 min · Video
  22. Session 35: Stochastic Chemical Kinetics 2 48 min · Video
  23. Session 36: Final Lecture 46 min · Video

Syllabus and materials

At MIT OpenCourseWare, as the course publishes them.

Credits and licence

Institution
Massachusetts Institute of Technology
Department
Chemical Engineering
Taught by
Prof. William Green, Jr., Prof. James W. Swan
Term
Fall 2015
Level
Graduate
Language
English
Subjects
Mathematics, Chemistry, Computer science, Engineering
Source
MIT OpenCourseWare
Licence
CC BY-NC-SA 4.0, as MIT OpenCourseWare states it. Non-commercial use only. MIT OpenCourseWare's terms
Attribution
Prof. William Green, Jr., Prof. James W. Swan. Numerical Methods Applied to Chemical Engineering. Fall 2015. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu/. License: Creative Commons BY-NC-SA.
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