An Introductory Guide to Computational Methods for the Solution of Physics Problems (eBook, PDF)

An Introductory Guide to Computational Methods for the Solution of Physics Problems (eBook, PDF)

With Emphasis on Spectral Methods

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This 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 physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all availab...

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