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

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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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4.2.4 Formation of water masses,ue problems (Chap. .). We are seeking consistent, stable difference schemes and corresponding discretizations of the initial and boundary conditions by which we obtain convergence of the numerical solution to the exact solution of the differential equation. Except in (.) and (.) we restrict the disc
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4.1 Equations for oceanic motions,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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4.2.4 Formation of water masses,y .. The only danger we may anticipate in a computer is the one of over- or underflow, or perhaps loss of precision. Solving a . or . problem is a step in the opposite direction: we either wish to reconstruct . from ., knowing . — this is the so-called . — or learn something about . from given . and
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The Fourier transformation . of the function . on the real axis is defined as . The sufficient conditions for the existence of . are that . is absolutely integrable, i.e. ., and that . is piecewise continuous or has a finite number of discontinuities.
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