Numerical Methods for Analysis and Optimization of Mechanical Systems

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.