Numerische Methoden (ILV)

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Course lecturer:

Dr.

 Robert Winkler

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Course numberB2.06060.30.020
Course codeNumMeth
Curriculum2019
Semester of degree program Semester 3
Mode of delivery Presencecourse
SPPW2,0
ECTS credits3,0
Language of instruction German

The students
• know the basic concepts of numerical mathematics.
They are able to
• apply numerical methods to linear algebra problems, interpolation, for compensation problems, and program corresponding algorithms in MATLAB.
They know about
• basic tendencies of numerical calculations in the field of mechanical engineering.

B2.06060.20.080 - Mathematical Modeling and Parameterization
B2.00000.10.050 - Informatics 1: Fundamentals and Programming
B2.00000.20.010 - Engineering Mathematics 2

  • Gaussian algorithm for solving linear systems of equations (Pivot, LU decomposition, Cholesky decomposition, conditioning)
    • Error analysis, stability and complexity of numerical algorithms
    • Interpolation (Newton, Lagrange, Spline)
    • Nonlinear equations (fixed point theorem, bisection method, regula falsi, sectant method, Newton, zeros of polynomials)
    • Equalization calculation -, least squares method (linear and nonlinear compensation problems)

R. Schwarz, Numerische Mathematik, Teubner 1993
St. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists, 3rd Ed. (ISBN-13:978-0-07-340110-2). McGraw-Hill

Integrated course (ILV)