Provides fundamental numerical algorithms including linear computations,
Fourier transform, ordinary differential equations, finite element
method, random numbers, digital filtering, and digital image processing.
Students will write programs on these topics to understand and to use
practically the algorithms. (Dept. Mechanical Eng. / Robotics, B3)
|
1st | 4/ 9 | Introduction: Analytical solution, Numerical solution |
| 2nd | 4/16 | MATLAB: matrices and vectors, ODE solver, graphs |
| 3rd | 4/21 | MATLAB: optimization, parameters, random numbers |
| 4th | 4/30 | ODE: canonical forms of ordinary differential equations, Runge-Kutta method |
| 5th | 5/ 7 | ODE: Runge-Kutta-Fehlberg method, constraint stabilization method (CSM) |
| 6th | 5/14 | (1st quiz) |
| 7th | 5/28 | Linear equations: LU decomposition, pivoting LU decomposition |
| 8th | 6/ 4 | Linear equations: pivot selecting LU decomposition, Cholesky decomposition |
| 9th | 6/ 9 | Projection: projection matrix, Gram-Schmidt orthogonalization, QR decomposition |
| 10th | 6/11 | Interpolation: piecewise linear interpolation, spline interpolation |
| 11th | 6/25 | (2nd quiz) |
| 12th | 7/ 2 | FEM: shape functions, stiffness matrix, static deformation of beam |
| 13th | 7/ 9 | FEM: inertia matrix, dynamic deformation of beam |
| 14th | 7/14 | FEM: planar deformation, inelastic deformationm |
| 15th | 7/16 | Probabilistic algorithm: random numbers, Monte Carlo method |
