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After passing this course the student is able to use basic numerical methods in fundamental tasks of electrical engineering, e.g. numerical simulation processes.

- methods for solving linear equation systems, e.g. Gaussian elimination, cholesky decomposition, SVD, conjugated gradients method, relaxation - methods for model order reduction (Krylov subspace transformation), e.g. Arnoldi-iteration, Lanczos method - methods for finding the root of a real-valued function, e.g. Newton-Raphson method, interval section - numerical methods for integration of differential equation systems, e.g. explicit and implicit Euler method, trapezoidal method, Gear method The named methods are developed in context of their application area in electrical engineering. One famous example is electronic circuit simulation - a time-saving key technique that allows to design large circuits and systems without loss of material. Numerical methods and algorithm are the main part of modern simulation processes. The following simulation types are used to explain the named numerical methods: - linear small-signal frequency domain analysis (AC analysis) - nonlinear quiescent point calculation (DC analysis) - transient analysis - nonlinear frequency analysis (Harmonic Balance, shooting methods)

Good knowledge in higher mathematics are needed (offered in B.Sc. program).

In addition to individual learning methods of the student the knowledge is transfered by solving exercises. The preferred teaching method in the lecture is teacher-centered learning. In the Exercise course the students solve problems on their own. Furthermore home exercises in Matlab help to understand how the numerical methods are realized in practice.

There is a final exam in written form (120 min., open book policy).

Strang - "Computational Science and Engineering"