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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)

Lecture 36 - Review

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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