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 |

Evaluation: | Final Exam. 60% and Quiz 40% |

- 2018 Quiz #1
- 2017 Final Exam. 2017 Quiz #2 2017 Quiz #1
- 2016 Final Exam. 2016 Quiz #2 2016 Quiz #1
- 2015 Final Exam. 2015 Quiz #2 2015 Quiz #1
- 2014 Final Exam. 2014 Quiz #2 2014 Quiz #1

Textbook: | Numerical Methods for Mechanical Systems (4th print) |

ISBN 978-4-339-06094-2 | |

errata | |

References: | Linear Algebra and Its Applications |

Gilbert Strang Thomson Learning ISBN 0-15-551005-3 | |

Signal Processing (Robotics Textbook Series 4) | |

ISBN 978-4-339-04515-4 |

Basic programs | |

Ordinary differential equations | |

Linear equations | |

Projection | |

Interpolation | |

FEM | |

Probabilistic algorithm |

[Education]