Fitting circles and ellipses to given points in the plane is a problem that arises in many application areas, e.g. computer graphics [1], coordinate metrology [2], petroleum engineering [11],â€¦ (More)

Acknowledgements This work would not have been possible without the help of many people. First of all I would like to thank Prof. Dr. Walter Gander for giving me the opportunity to do my Ph.D. thesisâ€¦ (More)

We discuss the method of Cyclic Reduction for solving special systems of linear equations that arise when discretizing partial differential equations. In connection with parallel computations theâ€¦ (More)

Several representations for the interpolating polynomial exist: Lagrange, Newton, orthogonal polynomials etc. Each representation is characterized by some basis functions. In this paper weâ€¦ (More)

Today many high performance computers are reachable over some network. However, the access and use of these computers is often complicated. This prevents many users to work on such machines. The Goalâ€¦ (More)

The use of computer algebra systems in a course on scientific computation is demonstrated. Various examples, such as the derivation of Newtonâ€™s iteration formula, the secant method, Newtonâ€“Cotes andâ€¦ (More)