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Titlebook: Solving Problems in Scientific Computing Using Maple and MATLAB®; Walter Gander,Jiří Hřebíček Textbook 19973rd edition Springer-Verlag Ber

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Smoothing Filters, smoothing filter to the measured data in order to reconstruct the underlying smooth function. We may assume that the noise is independent of the observed variable. Furthermore we assume that the noise obeys a normal distribution with mean zero and standard deviation ..
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The Radar Problem,f radars on the globe. The information coming from each radar contains among others the coordinates ., . and . (with respect to the Cartesian coordinate system of the given radar) of an airplane which is “seen” by the radar. The two-dimensional situation in the case of two radars .., .. is shown on
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Conformal Mapping of a Circle,r shape. Since the advent of supercomputers such techniques have become quite important in the context of numerical grid generation [1]. In introductory courses in fluid dynamics students learn how to calculate the circulation of an incompressible potential flow about a so-called “Joukowski airfoil”
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Modeling Penetration Phenomena,e protection of spacecraft or satellites from debris and/or meteorite impact. Formally the penetration is defined as the entrance of a projectile into the target without completing its passage through the body. The penetration phenomenon can be characterized according to the impact angle, the geomet
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Free Metal Compression,lateral face is distorted (see Figure 17.1). This successive forming operation is called die forming, and it is necessary to predict the distortion in advance in order to provide enough space to fit the distorted body into a specific die. In the following we will restrict our attention to metal rods
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Symbolic Computation of Explicit Runge-Kutta Formulas,al equations of the first order. We show how the nonlinear system of equations for the coefficients of the Runge-Kutta formulas are constructed and how such a system can be solved. We close the chapter with an overall procedure to construct Runge-Kutta formulas for a given size and order. We will se
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Orbits in the Planar Three-Body Problem,The planar three-body problem is the problem of describing the motion of three point masses in the plane under their mutual Newtonian gravitation. It is a popular application of numerical integration of systems of ordinary differential equations since most solutions are too complex to be described in terms of known functions.
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