| Inhalt |
This course deals with modern algorithms for the numerical solution of physical problems.
Outline of this course:
1- Introduction/Overview to MATLAB
2- Powerful Algorithms for the Computational Engineering
3- Numerical Differentiation and Integration
- Ordinary Differential Equations (ODEs) and Initial Value Problems (IVP)
- Boundary Value (BV) and Eigenvalue (EV) Problems
- Partial Differential Equations (PDEs)
Additionally, the complex technical mechanics topics are broken down into subtasks whose solution methods are to be programmed by MATLAB in the practical laboratory sessions, which will be held as occurence. |
| Literatur |
- Advanced Engineering Mathematics / Erwin Kreyszig
- C.-D. Munz, T. Westermann, Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen, Springer-Vieweg
- J. Werner, Numerische Mathematik, Vieweg-Studium, Bd. 32, 33: Aufbaukurs Mathematik
- R. Plato, Numerische Mathematik kompakt: Grundlagenwissen für Studium und Praxis, Vieweg-Studium, Grundlagenwissen für Studium und Praxis
- D. Kincaid und W. Cheney, Numerical Analysis, Brooks/Cole Publishing Company
- K. Finckenstein, J. Lehn, H. Schellhaas, H. Wegmann, Arbeitsbuch Mathematik für Ingenieure, Band II, Springer-Vieweg
- L. Papula, Mathematik für Ingenieure und Naturwissenschaftler Band 2, Springer-Vieweg
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