| Lectures and exercises |
hours |
| Topics |
Specific contents |
|
| Recalls of basic linear algebra |
Matrix algebra, determinants, inverse, rank, linear systems, matrix reduction, eigenvalues and eigenvectors, transformations, positive definite matrices, Gerschgorin theorems, vector and matrix norms. |
2
|
| General linear and non linear circuits |
Formulations for circuits problems, the Kirchhoff laws in matrix form, Tableau equations, node equations. |
5
|
| Solution of linear and non linear algebraic systems |
Condition number and perturbation analysis of a linear system, direct methods, iterative methods factorisations. Picard and Newton-Raphson methods. |
4
|
| Numerical analysis of dynamic circuits |
Dynamic circuits, modified node analysis, state variable analysis. |
3
|
| Solution of ODE systems |
Numerical methods, difference equations, consistency, convergence, zero stability, stability, multi-step linear methods, predictor-corrector, Runge-Kutta methods. |
4
|
| Formulations for computational electromagnetism |
Formulations for electrostatics, magnetostatics, electro-quasistatics, magneto-quasistatics. Integral formulations. |
5
|
| Classification of PDE |
Elliptic, parabolic and hyperbolic PDEs. |
2
|
| Finite differences methods |
FD methods for elliptic and parabolic equations. |
3
|
| Finite differences in time domain |
FDTD method for hyperbolic equations. |
2
|
| Total hours for lectures and exercises |
30 |
| for exercises only |
|
|
Further educational activities
|
hours
|
| Labs |
10 |
| Tutorials / Seminars |
0 |
| Workshops |
0 |
| Guided tours |
0 |
| |
0 |
| Total hours for further educational activities |
10 |
| Total hours |
40
|