Description: |
Computer Based Engineering Mathematics is designed to solve the problems in Engineering Mathematics using application softwares e.g. MATLAB. In particular, the following problems will be investigated.
(i) Linear system of equations: LU decomposition, Cholesky factorization, norms, accuracy of solutions and condition numbers, iterative solution methods (Gauss-Seidel, Jacobi), linear curve fitting
(ii) Non-linear equations and equation systems - Taylor expansion, linearization, iteration methods, Newton methods, Jacobian, fixpoints and bifurcations, singularities, accuracy of the solution, parameter depending equation systems, curve pursuit, non-linear curve fitting
(iii) Partial Differential Equations - IVP-BVP, discretization, applications to the vibration equation and the heat transfer equation |
Literature: |
.1 Skript der Vorlesung (in deutscher und englischer Sprache) .2 Gramlich, G; Werner, W.: Numerische Mathematik mit MATLAB, dpunkt.verlag, Heidelberg, ISBN 3-932588-55-X |