Titlebook: Computational Methods in Physics; Compendium for Stude Simon Širca,Martin Horvat Textbook 20182nd edition Springer International Publishing

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Modeling and Analysis of Time Series,uous. The signals may be real, complex, or integer. In the analysis of time series we use mathematical tools to extract their basic characteristics and learn about the properties of their sources. The sources of signals are also called . and are commonly identified with the signals that these proces

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Initial-Value Problems for ODE,quantities that we use to describe the system. There are endless examples. Physicists study oscillations of non-linear mechanical pendula and electric circuits, monitor the motion of charged particles in electro-magnetic fields, and predict orbits of satellites in the presence of other celestial bod

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Spectral Methods for PDE,rby mesh points. For example, (.) is an approximation of the derivative at . obtained by parabolic interpolation between ., ., and .. The solution on the whole interval is constructed by superposing many such overlapping polynomials as the weighted sum of the function values at the interpolation poi

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Textbook 20182nd editional methods. The choice of methods pays significant attention to error estimates, stability and convergence issues, as well as optimization of program execution speeds. Numerous examples are given throughout the chapters, followed by comprehensive end-of-chapter problems with a more pronounced physics

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