Titlebook: Solving Problems in Scientific Computing Using Maple and MATLAB®; Walter Gander,Jiří Hřebíček Textbook 19952nd edition Springer-Verlag Ber

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The Tractrix and Similar Curves,In this section we will use . to solve two similar systems of differential equations. First we generalize the classical tractrix problem to compute the orbit of a toy pulled by a child, and then we compute the orbit of a dog which attacks a jogger. We also show how the motions may be visualized with ..

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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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The Generalized Billiard Problem,We consider the following problem: . This problem has previously been solved for a circular table in [1, 2, 4].

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The Spinning Top,In this chapter we will study the motion of a spinning top — the well known children’s toy. From the physical point of view we can represent it as a symmetric rigid rotor in a homogeneous gravitational field. Let . be the point at the tip of the top.

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o easily solve realistic nontrivial problems in scientific computing. In education, traditionally, complicated problems were avoided, since the amount of work for obtaining the solutions was not feasible for students. This situation has changed now, and students can be taught real-life problems that

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Textbook 19952nd editionolve realistic nontrivial problems in scientific computing. In education, traditionally, complicated problems were avoided, since the amount of work for obtaining the solutions was not feasible for students. This situation has changed now, and students can be taught real-life problems that they can

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The Illumination Problem,es of the lamps are (0, ..) and (., ..) where s is the horizontal distance between the two light sources. Let . = (.,0) be a point on the road somewhere between the two lights. In this chapter we will look for a point . which is minimally illuminated. In Figure 3.1 we have made a sketch of the situa