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This course is offered to undergraduates and introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems.
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Description
Topics covered include: fundamental principles of digital computing and the implications for algorithm accuracy and stability, error propagation and stability, the solution of systems of linear equations, including direct and iterative techniques, roots of equations and systems of equations, numerical interpolation, differentiation and integration, fundamentals of finite-difference solutions to ordinary differential equations, and error and convergence analysis. The subject is taught the first half of the term.
This subject was originally offered in Course 13 (Department of Ocean Engineering) as 13.002J. In 2005, ocean engineering became part of Course 2 (Department of Mechanical Engineering), and this subject was renumbered 2.993J.
Course content
- Introduction Unlimited
- Error Propagation Unlimited
- Linear Systems of Equations: Cramer’s Rule Unlimited
- Linear Systems: Gaussian Elimination Unlimited
- Linear Systems: Tri-diagonal Systems Unlimited
- Linear Systems: Iterative Methods Unlimited
- Roots of Non-linear Equations: Bisection Unlimited
- Interpolation of Functions by Polynomials Unlimited
- Numerical Differentiation and Integration Unlimited
- Ordinary Differential Equations Unlimited
- Ordinary Differential Equations (cont.) Unlimited
- Minimization Problems Unlimited
Instructor
