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Numerical methods for solving problems arising in heat and mass transfer, fluid mechanics, chemical reaction engineering, and molecular simulation.
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English
English [CC]
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Description
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 content
- Linear algebra 1 Unlimited
- Linear algebra 2 Unlimited
- Linear algebra 3 Unlimited
- Linear algebra 4 Unlimited
- Linear algebra 5 Unlimited
- Linear algebra 6 Unlimited
- Systems of nonlinear equations 1 Unlimited
- Summary and review on linear algebra and systems of nonlinear equations Unlimited
- Optimization 1 Unlimited
- Optimization 2 Unlimited
- Optimization 3 Unlimited
- ODE-IVP and numerical integration 1 Unlimited
- ODE-IVP and numerical integration 4 Unlimited
- Differential-algebraic equations 2 Unlimited
- Differential-algebraic equations 3 Unlimited
- Boundary value problems 1 Unlimited
- Boundary value problems 2 Unlimited
- Partial differential equations 1 Unlimited
- Summary and review on IVP, differential-algebraic equations, and boundary value Unlimited
- Probability theory 1 Unlimited
- Models vs. data 1 Unlimited
- Models vs. data 2 Unlimited
- Models vs. data 3 Unlimited
- Operator splitting Unlimited
- Monte Carlo methods 1 Unlimited
- Monte Carlo methods 2 Unlimited
- Stochastic chemical kinetics 1 Unlimited
- Stochastic chemical kinetics 2 Unlimited
Instructor
Massachusetts Institute of Technology
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