Titlebook: An Introductory Guide to Computational Methods for the Solution of Physics Problems; With Emphasis on Spe George Rawitscher,Victo dos Santo

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https://doi.org/10.1007/978-3-322-98672-6er-Cromer method. The emphasis here is on algorithm errors, and an explanation of what is meant by the “order” of the error. We show that the Euler method introduces an error of order 2, denoted as . while the latter presents errors of order .. We finish the chapter by applying the methods to two im

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https://doi.org/10.1007/978-3-642-71903-5pressions in terms of the powers of the variable ., where ., and the mesh points required for the Gauss–Chebyshev integration expression described in Chap. .. We also point out the advantage of the expansion into this set of functions, as their truncation error is spread uniformly across the . inter

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https://doi.org/10.1007/978-3-662-41281-7the advantages of working with the integral equation, called Lippmann–Schwinger (L–S). We show how a numerical solution of such an equation can be obtained by expanding the wave function in terms of Chebyshev polynomials, and give an example for a simple one-dimensional Schrödinger equation. This me

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Flatter

Die Bestimmung der Umtriebszeitction is described in an efficient way by its amplitude .(.) and the wave phase .. Since each of these quantities vary monotonically and slowly with distance, they are much easier to calculate than the wave function itself. An iterative method to solve the non-linear equation for . is described, and

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