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

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September 21, 2023

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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)

Course Curriculum

  • Lecture 05 – Eigenvalues and Eigenvectors Unlimited
  • Lecture 06 – Singular Value Decomposition; Iterative Solutions of Linear Equations Unlimited
  • Lecture 07 – Solutions of Nonlinear Equations; Newton-Raphson Method Unlimited
  • Lecture 08 – Quasi-Newton-Raphson Methods Unlimited
  • Lecture 09 – Homotopy and Bifurcation Unlimited
  • Lecture 11 – Unconstrained Optimization; Newton-Raphson and Trust Region Methods Unlimited
  • Lecture 12 – Constrained Optimization; Equality Constraints and Lagrange Multipliers Unlimited
  • Lecture 13 – ODE-IVP and Numerical Integration 1 Unlimited
  • Lecture 16 – ODE-IVP and Numerical Integration 4 Unlimited
  • Lecture 18 – Differential Algebraic Equations 2 Unlimited
  • Lecture 19 – Differential Algebraic Equations 3 Unlimited
  • Lecture 20 – Boundary Value Problem 1 Unlimited
  • Lecture 21 – Boundary Value Problem 2 Unlimited
  • Lecture 22 – Partial Differential Equations 1 Unlimited
  • Lecture 25 – Review Session Unlimited
  • Lecture 26 – Partial Differential Equations 2 Unlimited
  • Lecture 27 – Probability Theory 2 Unlimited
  • Lecture 28 – Models vs. Data 1 Unlimited
  • Lecture 30 – Models vs. Data 3 Unlimited
  • Lecture 33 – Monte Carlo Methods 2 Unlimited
  • Lecture 34 – Stochastic Chemical Kinetics 1 Unlimited
  • Lecture 35 – Stochastic Chemical Kinetics 2 Unlimited
  • Lecture 36 – Review Unlimited

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