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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Book 2018acks.?.During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and?.the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points?.used in finite difference methods. In particular, they dem

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ons and?.the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points?.used in finite difference methods. In particular, they dem978-3-319-42702-7978-3-319-42703-4

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An Introductory Guide to Computational Methods for the Solution of Physics Problems978-3-319-42703-4

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MATLAB to implement the algorithmsThis monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally?.taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to?.the solution of physica

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https://doi.org/10.1007/978-3-642-91935-0the Galerkin–Fourier expansion method and the spectral Green’s function collocation method. The vibration frequencies are obtained as the eigenvalues of the corresponding matrices. We compare the advantages and disadvantages of both methods.

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Finite Difference Methods,thod 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 important physical problems: the physics of the pendulum and the physics of descending parachutes.

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The Vibrating String,the Galerkin–Fourier expansion method and the spectral Green’s function collocation method. The vibration frequencies are obtained as the eigenvalues of the corresponding matrices. We compare the advantages and disadvantages of both methods.