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