\input zb-basic
\input zb-matheduc
\iteman{ZMATH 2010e.00717}
\itemau{Bober, William; Tsai, Chi-Tay; Masory, Oren}
\itemti{Numerical and analytical methods with MATLAB.}
\itemso{CRC Series in Computational Mechanics and Applied Analysis. Boca Raton, FL: CRC Press (ISBN 978-1-4200-9356-8/hbk). xviii, 452~p. (2009).}
\itemab
First, some basics of the {\tt Matlab} programming language are introduced. Then the solution of systems of linear equations, eigenvalue problems and nonlinear equations is discussed. Furthermore numerical integration and methods for solving ordinary differential equations are described. The application of Simulink to model, simulate and analyse dynamical systems is explained. Curve fitting algorithms and optimization algorithms are presented. As examples of partial differential equations (PDEs) the unsteady heat conduction problem and sound waves are considered. Finite difference methods for solving these problems are described. As another possibility to solve ordinary and partial differential equations Laplace transforms are used. An introduction to the finite element method applied to two-dimensional problems of solid mechanics is given and the application of {\tt Matlab}'s PDE toolbox is explained. Control theory problems are also discussed. For solving all these problems, analytical and/or numerical methods are presented. Additionally, corresponding {\tt Matlab} functions are explained. The solution methods are demonstrated by examples from engineering sciences. Furthermore, at the end of each chapter projects are formulated, which can improve the understanding of the presented material.
\itemrv{Michael Jung (Dresden)}
\itemcc{N10 R20}
\itemut{{\tt Matlab}; {\tt Simulink}; matrix operations; algorithms for solving systems of linear equations; eigenvalue problems; nonlinear equations; numerical integration; curve fitting; ordinary differential equations; partial differential equations; Laplace transform; finite element method; optimization; control theory; monograph; unsteady heat conduction problem; finite difference methods}
\itemli{}
\end