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Titlebook: Computational Physics; Simulation of Classi Philipp O.J. Scherer Textbook 2017Latest edition Springer Nature Switzerland AG 2017 Understand

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Error Analysisct values, the calculation uses values with some uncertainty. This can lead to large uncertainties of the calculated results if an unstable algorithm is used or if the unavoidable error inherent to the problem is large. . The arithmetic unit of a computer uses only a subset of the real numbers, the
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Roots and Extremal Pointsnction are roots of the gradient. In one dimension bisection is a very robust but rather inefficient root finding method. If a good starting point close to the root is available and the function smooth enough, the Newton–Raphson method converges much faster. Special strategies are necessary to find
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Fourier Transformationtion of convolution integrals. In this chapter we discuss the discrete Fourier transformation as a numerical approximation to the continuous Fourier integral. It can be realized efficiently by Goertzel’s algorithm or the family of fast Fourier transformation methods. Computer experiments demonstrate
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