Course F07_NumericalMethodsForEngineers

Course

Meets requirements of following modules(MID)

• in active programs
  • Ma MT2012 Numerical Methodes

Course Organization

Instruction language

• Deutsch oder Englisch

Study Level

• Master

Prerequisites

• Engineering mathematics
• programming skills in higher programming langugage

Textbooks, Recommended Reading

• Wolfgang Dahmen, Arnold Reusken: Numerik für Ingenieure und Naturwissenschaftler, Springer, 2008
• Christop Ueberhuber: Numerical Computation 1 & 2, Springer, 1997
• Michael Knorrenschild: NUmerische Mathematik: Eine beispielorientierte Einführung, Carl Hanser Verlag, 2010
• Peter Deuflhard, Andreas Hohmann: Numerische Mathematik: Eine algorithmisch orientierte Einführung, Bd 1+2. de Gruyter, 2008
• Hans-Rudolf Schwarz, Norbert Köckler: Numerische Mathematik, Vieweg+Teubner Verlag, 2011
• William H. Press et. al. :Numerical Recipes 3rd Edition: The Art of Scientific Computing, Cambridge University press, 2007

Instructors

• Prof.Dr. Stefan M. Grünvogel
• Prof Dr. Dietmar Kunz

Supporting Scientific Staff

Transcipt Entry

Assessment

Course components

Lecture/Exercise

Objectives

Lerninhalte (Kenntnisse)

• Characterize condition of numerical problems and stabilty of numerical algorithms
  • error analysis
    • detect error sources
    • describe condition of a problem
    • determine stabilty of an algorithm

Acquired Skills

• Analyse convergence and computational cost of an algorithm
• Choose appropriate algorithm for a given problem out of a problem class
  • linear equation
  • linear least squares
  • nonlinear equations
  • nonlinear least squares
  • interpolation
  • singular value decomposition
  • integration
• Implement numerical algorithms in an hgher programming language
• Apply numerical methods with a given software system
  • Matlab
  • Octave

Operational Competences

Additional Component Assessment