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The second volume deals with well-established numerical methods for the solution of analytical problems. The focus is on numerical techniques for one- and two-dimensional interpolation, least squares approximation, as well as the computation of derivatives and definite integrals of real functions. Furthermore, the most important methods for the numerical treatment of initial and boundary value problems of ordinary differential equations are presented. Many of these numerical methods are implemented as m-files for the MATLAB software environment, so that readers can independently experiment with the numerical techniques and experience their advantages and disadvantages directly on the computer.
Martin Hermann has been Professor of Numerical Mathematics at Friedrich Schiller University Jena (FSU) since 1991. He specialises in the numerical treatment of parameter-dependent non-linear differential equations. For many years, he has given the basic lecture ‘Numerical Mathematics’ for students of mathematics, business mathematics, physics, computer science and teaching as well as specialised lectures on selected areas of numerical mathematics. He is speaker of the Interdisciplinary Centre for Scientific Computing, curator of the Collegium Europaeum Jenense at the FSU Jena and a member of many national and international professional organisations.