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George Rawitscher,Victo dos Santos Filho,Thiago CaEmphasizes some advantages of spectral methods.Includes a comparison with finite element and finite difference methods.Includes programs in MATLAB to implement the algorithms
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Die Bestimmung der UmtriebszeitIn this chapter we show that spectral methods can be applied to a third-order differential equation. Such an equation can be solved by a Collocation method with Chebyshev polynomials and without the application of Green’s functions.
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Conclusions,We discuss here the main topics developed in this monograph. Through our analysis, examples and calculations, we show that spectral methods present various advantages in relation to the methods based on finite differences in terms of accuracy, convergence, time of computation and stability.
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https://doi.org/10.1007/978-3-319-42703-4Spectral Computational Methods; Finite-difference methods; Fourier spectral Differentiation Matrices; Q
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978-3-319-42702-7Springer Nature Switzerland AG 2018
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