13843 - Scientific Computing Modulübersicht

Module Number: 13843
Module Title:Scientific Computing
  Methoden des Scientific Computing
Department: Faculty 1 - Mathematics, Computer Science, Physics, Electrical Engineering and Information Technology
Responsible Staff Member:
  • Prof. Dr. rer. nat. habil. Breuß, Michael
  • Prof. Dr.-Ing. Oevermann, Michael
Language of Teaching / Examination:English
Duration:1 semester
Frequency of Offer: On special announcement
Credits: 8
Learning Outcome:After successfully completing the module, students will have extended the knowledge and skills acquired in the previous numerical modules. They will have acquired advanced knowledge for understanding modern simulation methods in a wide variety of areas of science and technology.
Contents:The aim of the module is to introduce advanced methods used in scientific computing. The main part of the course is devoted to the discretization of partial differential equations. 
Among the topics are: The variety of discrete grid types used in discretizations, Finite-Element-Methods, Finite-Volume-Methods, special Finite-Difference-Methods, a variety of time stepping methods for time-dependent partial differential equations, TVD-Schemes for hyperbolic conservation laws, iterative solvers for sparse linear systems of equations.
Recommended Prerequisites:Knowledge of the content of the modules:
  • 11925 Grundlagen der Numerischen Mathematik
  • 11943 Grundlagen des Wissenschaftlichen Rechnens
  • 11414 Funktionentheorie und Partielle Differentialgleichungen
as well as programming skills, typically Matlab and C / Fortran
Mandatory Prerequisites:None
Forms of Teaching and Proportion:
  • Lecture / 4 Hours per Week per Semester
  • Exercise / 1 Hours per Week per Semester
  • Practical training / 1 Hours per Week per Semester
  • Self organised studies / 150 Hours
Teaching Materials and Literature:The literature in use may change over time and will be announced at the first class meeting.
Module Examination:Prerequisite + Final Module Examination (MAP)
Assessment Mode for Module Examination:Prerequisite:
  • Successful completion of homework
Final module examination:
  • Written examination, 90 min. OR
  • Oral examination, 30 min.
In the first lecture it will be anounced, if the examination will be offered in written or oral form.
Evaluation of Module Examination:Performance Verification – graded
Limited Number of Participants:None
Part of the Study Programme:
  • Master (research-oriented) / Angewandte Mathematik / PO 2019
  • Master (research-oriented) / Artificial Intelligence / PO 2022
  • Bachelor (research-oriented) / Mathematik / PO 2023
  • Bachelor (research-oriented) - Co-Op Programme with Practical Placement / Mathematik - dual / PO 2023
  • Bachelor (research-oriented) / Wirtschaftsmathematik / PO 2023
  • Bachelor (research-oriented) - Co-Op Programme with Practical Placement / Wirtschaftsmathematik - dual / PO 2023
  • Study programme Applied Mathematics M.Sc.: Compulsory elective module in complex „Numerics“
  • Study programme Mathematics B.Sc.: Compulsory elective module in complex „Specialisation“, in limited extend
  • Study programme Economathematics B.Sc.: Compulsory elective module in complex „Specialisation“, in limited extend
  • Study programme Physics M.Sc.: Compulsory elective module in complex „Minor Subject“
  • Study programme Artificial Intelligence M.Sc.: Compulsory elective module in complex  „Advanded Methods“
Module Components:
  • Lecture: „Scientific Computing“
  • Accompanying exercise
  • Accompanying laboratory
  • Related examination
Components to be offered in the Current Semester: