10.34 Numerical Methods Applied to Chemical Engineering (Fall 2015, MIT OCW) | Chemistry and Chemical Engineering

10.34 Numerical Methods Applied to Chemical Engineering

10.34 Numerical Methods Applied to Chemical Engineering (Fall 2015, MIT OCW). Instructors: Prof. William Green, Jr. and Prof. James W. Swan. 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. (from ocw.mit.edu)

Image: Numerical Methods Applied to Chemical Engineering

Lecture 05 - Eigenvalues and Eigenvectors

Lecture 06 - Singular Value Decomposition; Iterative Solutions of Linear Equations

Lecture 07 - Solutions of Nonlinear Equations; Newton-Raphson Method

Lecture 08 - Quasi-Newton-Raphson Methods

Lecture 09 - Homotopy and Bifurcation

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

Lecture 12 - Constrained Optimization; Equality Constraints and Lagrange Multipliers

Lecture 13 - ODE-IVP and Numerical Integration 1

Lecture 16 - ODE-IVP and Numerical Integration 4

Lecture 18 - Differential Algebraic Equations 2

Lecture 19 - Differential Algebraic Equations 3

Lecture 20 - Boundary Value Problem 1

Lecture 21 - Boundary Value Problem 2

Lecture 22 - Partial Differential Equations 1

Lecture 25 - Review Session

Lecture 26 - Partial Differential Equations 2

Lecture 27 - Probability Theory 2

Lecture 28 - Models vs. Data 1

Lecture 30 - Models vs. Data 3

Lecture 33 - Monte Carlo Methods 2

Lecture 34 - Stochastic Chemical Kinetics 1

Lecture 35 - Stochastic Chemical Kinetics 2

Lecture 36 - Review

References

10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015
Instructors: Prof. William Green, Jr. and Prof. James W. Swan. Lecture Notes. Assignments. Exams and Solutions. Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation.