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This course is an introduction to numerical methods: interpolation, differentiation, integration, and systems of linear equations
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Description
It covers the solution of differential equations by numerical integration, as well as partial differential equations of inviscid hydrodynamics: finite difference methods, boundary integral equation panel methods. Also addressed are introductory numerical lifting surface computations, fast Fourier transforms, the numerical representation of deterministic and random sea waves, as well as integral boundary layer equations and numerical solutions.
This course was originally offered in Course 13 (Department of Ocean Engineering) as 13.024. In 2005, ocean engineering subjects became part of Course 2 (Department of Mechanical Engineering), and this course was renumbered 2.29.
Course content
- Week 1: Incompressible Fluid Mechanics Background Unlimited
- Week 2: Some Useful Results from Calculus Unlimited
- Week 3: An Application Using Complex Numbers Unlimited
- Week 4: Root Finding Unlimited
- Week 5:Curve Fitting and Interpolation Unlimited
- Week 6: Numerical Differentiation Unlimited
- Week 7: Numerical Integration Unlimited
- Week 8: Numerical Integration of Differential Equations Unlimited
- Week 9: Some Examples and Numerical Errors Unlimited
- Week 10: Panel Methods Unlimited
- Week 11: Boundary Layers Unlimited
- Week 12: Oscillating Rigid Objects Unlimited
- Appendix: Further Material on Panel Methods and Strip Theory (Courtesy of Alexis Mantzaris) Unlimited
Instructor
