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Unformatted text preview: 2.29 Numerical Marine Hydrodynamics Spring 2007 Course Staff: Instructor: Prof. Henrik Schmidt OCW Web Site: http://ocw.mit.edu/OcwWeb/Mechanical- Engineering/2-29Spring-2003/CourseHome/index.htm Units: (3-0-9) Lectures: Tuesday/Thursday 11:00 a.m. 12:30 p.m. Instructor: Prof. Henrik Schmidt, Tuesday 4-5 pm. Summary: Introductory MATLAB. Introduction to numerical methods: number representation and errors, interpolation, differentiation, integration, systems of linear equations, Fourier interpolation and transforms. Differential equations: partial and ordinary differential equations, elliptic and parabolic differential equations. Solution of differential equations by numerical integration, finite difference methods, finite element methods, boundary element methods and panel methods. Numerical Marine Hydrodynamics Lecture 1 2.29 Class Schedule Tuesday 11 - 12:30 Thursday 11 - 12:30 Lecture Reading Chapra & Canale 6-Feb Introduction to Numerical Methods in Engineering PT 1.1-1.3, 1.1 - 1.2 8-Feb Number representations. Errors of numerical operations. Recursion 3.1 - 3.4 13-Feb Error analysis. Error propagation. Condition numbers 4.1 - 4.5 15-Feb Roots of non-linear equations. General/Bisection/Secant/Newton-Raphson methods 5.1 -5.4,6.1 - 6.5 22-Feb Linear systems. Gaussian elimination 9.1 - 9.8 27-Feb Linear systems. Multiple right-hand-sides. LU facttorization 10.1 -10.3 1-Mar Special matrices. Examples 11.1 6-Mar Linear systems. Iterative techniques. Gauss-Seidel. 11.2 8-Mar Root finding and Linear systems. Examples and Apllications 8.1-8.4, 12.1-12.4 13-Mar Optimization. Curve fitting 13, 14, 17 15-Mar Interpolation. Polynomial interpolation. Lagrange polyn....
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- Spring '07