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Numerical Methods in Electrical Engineering

Lecturer (assistant)
Alexandre Truppel
Ulf Schlichtmann
Number 0000000130
Type lecture with integrated exercises
Duration 4 SWS
Term Sommersemester 2025
Language of instruction German
Position within curricula See TUMonline

Admission information

See TUMonline
Note: The registration is done in TUMonline.

Objectives

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

Description

SS 2022: course and exam will be in presence.

- methods for solving linear equation systems, e.g. Gaussian elimination, conjugated gradients method, relaxation
- 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)

Prerequisites

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

Teaching and learning methods

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.

Examination

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

Recommended literature

Strang - "Computational Science and Engineering"

Links

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All courses

Bachelorbereich: BSc-EI, BSES, BSEDE

WSSSDiskrete Mathematik für Ingenieure (BSEI, EI00460) Discrete Mathematics for Engineers (BSEDE ) (Schlichtmann) (Januar)
WSSSEntwurf digitaler Systeme mit VHDL u. System C (BSEI, EI0690) (Ecker)
 SSEntwurfsverfahren für integrierte Schaltungen (BSES, EI43811) (Schlichtmann)
 SSSchaltungssimulation (BSEI, EI06691) (Gräb/Schlichtmann)

 

Masterbereich: MSc-EI, MSCE, ICD

 SSAdvanced Topics in Communication Electronics (MSCE, MSEI, EI79002) 
 SSElectronic Design Automation (MSCE, MSEI, EI70610) (Schlichtmann, Tseng) 
WS Design Methodology and Automation (ICD) (Schlichtmann) (Nov) 
WSSSEmbedded System Design for Machine Learning (MSCE, MSEI, EI71040) (Ecker) 
 SSSimulation and Optimization of Analog Circuits (ICD) (Gräb) (Mai) 
 SSMixed Integer Programming and Graph Algorithms in Engineering Problems (MSCE, MSEI, EI71059) (Tseng) 
WSSSNumerische Methoden der Elektrotechnik (MSEI, EI70440) (Schlichtmann oder Truppel) 

WS

WS

SS

Seminar VLSI-Entwurfsverfahren (MSEI, EI7750) (Schlichtmann)

Seminar on Topics in Electronic Design Automation (MSCE, EI77502) (Schlichtmann)

 
WSSSSynthesis of Digital Systems (MSCE, MSEI, EI70640) (Geier) 
WS Testing Digital Circuits (MSCE, MSEI, EI50141) (Otterstedt) 
WSSSVHDL System Design Laboratory (MSCE, MSEI, EI7403) (Schlichtmann) 

BSES: Bachelor of Science Engineering Science (TUM-ED)

BSEDE: Bachelor of Science in Electronics and Data Engineering (TUM-Asia)

ICD: Master of Science in Integrated Circuit Design (TUM-Asia)

MSCE: Master of Science in Communications Engineering (TUM)

MSEI: Master of Science in Elektrotechnik und Informationstechnik

BSEI: Bachelor of Science in Elektrotechnik und Informationstechnik

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