#### Exercises

Exercise classes will be held in **NULLROMMET** sentralbygg 2, 3rd floor (unless announced otherwise).

Date | Topic | description | Mfiles |
---|---|---|---|

07.01 | Boundary value problems | Implementation of the numerical solution of simple boundary value problems with various boundary conditions. | condiff.m pendulum.m |

14.01 | Boundary value problems and Parabolic problems. | Complete the exercise on BVP (tasks 3 and 4). Implement a finite differences discretization of the heat equation, with various boundary conditions: use the Euler method, the backward-Euler method and the Crank-Nicholson method. | |

21.01 | Parabolic problems | Continuation from last week: verify, with suitable numerical experiments, the unconditional stability of Bacward-Euler and Crank-Nicholson and the conditional stability of the first one. Verify numerically the convergence of the methods with the appropriate order of convergence. | |

28.01 | Elliptic problems and parabolic problems in preparation to hyperbolic problems. | Implement a discretization of the Laplace equation on the square. Linear algebra background for solving stability analysis problems. Spectral radius; Gershgoring's theorem; Condition number; Neumann series. Implement a discretization of the viscous Burgers equation. | |

04.02 | Advection equation and Hyperbolic problems | Simple experiments with the linear advection equation and the Burgers equation. | KdV.m KdVfunc.m KdVinit.m owwaveeq.m |

18-25-26.02 | Supervision of the project | ||

04-11-18-25.03 | Supervision of the project |