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Institute of Engineering and Computational Mechanics

Numerical Methods for Analysis and Optimization of Mechanical Systems

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Course Numerical Methods for Analysis and Optimization of Mechanical Systems

Summerterm
Dr.-Ing. Florian Fleißner
Prof. Dr.-Ing. Prof. E.h. Peter Eberhard

Content of the lecture

Introduction to numerical methods used for investigating dynamic systems. General principles of numerical calculations, machine numbers, error estimation, numerical stability, linear algebra: Cholesky-decomposition, Gaussian elimination, LU-decomposition, QR-decomposition, iterative methods, least square problem, eigenvalue problem: general basics, normal forms, power methods, QR-algorithm, computaion of eigenvectors, initial value problem: ordinary differential equations, Runge-Kutta methods with step size control, extrapolation methods, linear multistep methods, -applications, programme libraries, comparison of methods for analytical investigations with computational methods.


Course information


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